The length of a rectangle is 3 ft less than double the width, and the area of the rectangle is 44 A?. Find the dimensions of the rectangle.

Answers

Answer 1

The dimensions of the rectangle are 8 ft by 5.5 ft.

According to the statement,We have to find that the dimensions of the rectangles.

So, For this purpose, we know that the

A Rectangle may be a four sided-polygon, having all the interior angles adequate 90 degrees.

From the given information:The length of a rectangle is 3 ft but double the width, and therefore the area of the rectangle is 44.

Then

The formula for the world of a rectangle may well be a = L(length) × W(width)A = L × W

Plug in the information:A = 44, L = 2W - 3

b/c but means switch the order before subtracting, W = W

44 = (2W - 3)×W

44 = 2W² - 3W

And then

2W² - 3W - 44 = 0

so,

Factoring: (2W - 11)(W + 4) = 0

2W - 11 = 0 solves to W = 5.5

W + 4 = 0 solves to W = -4

So W = 5.5 and L = 2(5.5) - 3 = 8.

So, The dimensions of the rectangle are 8 ft by 5.5 ft.

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Related Questions

To start a mobile dog-grooming service, a woman borrowed $2000. If the loan was for 2 years and the amount of interest was $168, what simple interest rate was she charged?

Answers

Step-by-step explanation:

and his did u use adding if it's adding or

anything I can help!

{ x − 10 ≤ x ≤ 15 }
it also needs to be graphed please help its due in 20 minutes

Answers

The graph is attached below:

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given:

x − 10 ≤ x ≤ 15

as, the given inequality we have to break the inequality is

x − 10 ≤ x and x ≤ 15

The graph to the inequality is attached below.

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(6,1)+(8,9)

What’s the slope

Answers

The slope of the line with the given coordinates (6,1) and (8,9) is 4.

What is the slope of the line with the given coordinates?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 6,1 )

x₁ = 6y₁ = 1

Point 2( 8,9 )

x₂ = 8y₂ = 9

Plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 9 - 1 )/( 8 - 6 )

Slope m = ( 8 )/( 2 )

Slope m = 8/2

Slope m = 4

Therefore, the slope of the line with the given coordinates (6,1) and (8,9) is 4.

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Select the correct numeral form of this number written in scientific notation. 4.1 × 10 2

0.41
41,000
4,100
410

Answers

4.1 x 10^2 = 4.1 x 10 x 10 = 41 x 10 = 410

A cash register must have at least $27 in change consisting of d dimes and q quarters.
(a) Write a linear inequality that represents the different numbers of dimes and quarters that can satisfy the requirement.

(b) Graph the inequality.

Answers

The inequality 106q + 5d ≥ $27 represents the different number of dimes and quarters in the cash register.

When two numbers or other mathematical expressions are compared in an unequal way, this is known as an inequality. The number line, it is most frequently used to compare the sizes of two numbers.

The least amount a cash register have is $27.

The cash register has d dimes and q quarters.

We know a dime is worth 10 cents and a quarter is worth 25 cents.

Let x be the number of quarters and y be the number of dimes

So, the inequality that shows that the cash register has at least 27 dollars is:

xq + yd ≥ $27

106q + 5d ≥ $27

The graph of the inequality,

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help me, i need to learn the Pythagorean theorem. ill pick brainliest!

Answers

Answer: The definition/meaning of it is a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Step-by-step explanation: If you need the equation solved, I can try just type under this.

HELP FAST AGAIN PLEASE I BEG U

Answers

Answer:

[tex]\frac{72}9[/tex]

Step-by-step explanation:

We're asked to find out how many pages we will need to use if each paper can hold up to 9 cards. To find this, we would have to divide our total amount of cards by 9.

K
A rectangular garden bed measures 16 feet by 12 feet. A water faucet is located at one corner of the garden bed. A
hose will be connected to the water faucet. The hose must be long enough to reach the opposite corner of the garden
bed when stretched straight. Find the required length of hose.
The required length of the hose is in.
(Type an exact answer using radicals as needed.)

Answers

The required length of the hose is 20 feet.

Given,

a = 16 feet

b = 12 feet

c = ?  (the required length of hose)

we can use the formula

c = √(a²+b²)

⇒  c = √(16²+12²) feet

        = 20 feet.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

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In the quation below all the asteriks stand for the same number.
What Is the number?

Answers

The first one is 1/5 the second is 1/6 and last one is 1/30 bc:
1/5= 6/30
And 1/6=5/30
Thus 6/30-5/30=1/30

Help please it’s 8th grade math

Answers

Answer:

The answer is D

Step-by-step explanation:

[tex]9^{16}[/tex]   is the exponential form of the number which the expression shows. The expression is a fraction though, so it is [tex]\frac{1}{9^{16} }[/tex]

4 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids. The
winner offers a bid of $4,000, how much will that bidder need to put into a kitty for the other bidders to
be compensated?

Answers

The amount of bidder needs to put into a kitty for the other bidders to be compensated will be $3,000.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

An object may be claimed jointly by 4 persons with the intent to split it using the sealed bid method. The winning price is $4,000.00.

The amount of bidder is given as,

⇒ $4,000 - $4,000/4

⇒ $4,000 - $1,000

⇒ $3,000

The amount of bidder needs to put into a kitty for the other bidders to be compensated will be $3,000.

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One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next
week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold
5 7 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and
violin

Answers

Trumpet- 174
Clarinet - 149
Violin - 89

Determine ratio of A to B. Round as indicated.
A = 24.7% is the divorce rate in City A
B = 28.7% is the divorce rate in City B
(Round to the nearest hundredth when necessary.)
Select one:
O a. 0.09
O b. 8.61
OC. 0.86
O d. 1.16

Answers

Ratio of A to B is option c 0.86

Given,

Divorce rate in City A = 24.7%

Divorce rate in City B = 28.7%

We have to find the ratio of A to B

First we have to change the percentage to fraction form.

That is,

Divorce rate in City A = 24.7% = 24.7/100

Divorce rate in City B = 28.7% = 28.7/100

Now, ratio of A to B

(24.7/100) : (28.7/100)

Equate this into fraction form.

That is, A : B = A/B

Therefore,

(24.7/100) : (28.7/100)

= (24.7/100) / (28.7/100)

= 24.7 × 100 / 28.7 × 100

= 2470 / 2870

= 0.86 approximately.

That is the ratio of A to B is 0.86.

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A dotplot of the distribution of height for Mrs. Navard’s class is shown, along with some numerical summaries of the data. Suppose that Mrs. Navard has the entire class stand on a 6-inch high platform and then asks the students to measure the distance from the top of their heads to the ground.
What are the mean and median of the new distribution of distance?

Answers

The new mean after adding a 6-inch high platform is 73 inches, while the median changes from 66 inches to 72 inches.

What are the mean and the median?

The mean refers to the average of a data set and is the result of the sum of the values of the data set divided by the number of items.

The median is the middle value in the data set when arranged in an ascending or descending order.

For instance, the number of the data set is 25.  The median value is the number 13, whose value is 66 inches in the old distribution or 72 inches in the new distribution.

Old Distribution of Heights:

Height (in.)  Number of Students  Cumulative Total

60                       1                                    60 (60 x 1)

61                       0                                    60 (60 + 61 x 0)

62                      2                                   184

63                      4                                  436

64                      2                                  564

65                      1                                  629

66                     3 Median                    827

67                      1                                  894

68                     3                               1,098

69                     2                               1,236

70                     0                               1,236

71                      1                                1,307

72                    2                                1,451

73                    0                                1,451

74                    1                                1,525

75                   2                                1,675

Mean = 67 (1,675/25)

New Distribution of Heights:

Height (in.)  Number of Students  Cumulative Total

66                       1                                   66 (66 x 1)

67                       0                                  66 (66 + 67 x 0)

68                      2                                 202

69                      4                                 478

70                      2                                 618

71                       1                                 689

72                     3 Median                   905

73                      1                                 978

74                     3                              1,200

75                     2                              1,350

76                     0                              1,350

77                      1                              1,427

78                     2                             1,583

79                     0                             1,583

80                     1                             1,663

81                     2                             1,825

Mean = 73 (1,825/25)

Thus, the new mean is 73 inches and the new median is 72 inches.

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What's 9+10
Please don't be stoopid

Answers

Answer: 19

Step-by-step explanation: 10

                                           + 9

                                            19

Answer:

9+10=19

Step-by-step explanation:

Remember treat others as you want to be treated. That being said we are not stoopid.

Look at the figure. If <1 = <2 , describe the relationship between lines a and b.

Answers

Answer:

Without seeing the picture.  I think that the answer might be parallel lines.  The two angles pictures might be corresponding angles which means that the lines would be parallel.

Step-by-step explanation:

1. The data set shows the fuel efficiencies, in miles per gallon, of the vehicles featured in a car-buying guide.
27 30 41 27 20 22 36 37 44 45 29 29
(a) What is the five-number summary of the data set? Show your work.
(b) What is the range of the data set? Show your work.
(c) What is the interquartile range (IQR) of the data set? Show your work

Answers

1. The five-number summary of the data set is: 20, 27, 29.5, 39, 45.

b. Range = 25

c. Interquartile range (IQR) = 12

How to Find the Five-Number Summary?

Given the data set for fuel efficiencies for vehicles featured in a car-buying guide as: 27, 30, 41, 27, 20, 22, 36, 37, 44, 45, 29, 29, we have five-number summary solved as shown below.

a. Minimum: 20 (smallest data point.)

First Quartile: 27 (center of the first part/half of the data set when ordered)

Median: 29.5 (center of the data set when ordered)

Third Quartile: 39 (center of the 2nd half of the data set when ordered)

Maximum: 45 (largest data point.)

Thus, the five-number summary of the data set is: 20, 27, 29.5, 39, 45.

b. Range = max - min

Range = 45 - 20

Range = 25

c. Interquartile range (IQR) = Third Quartile - First Quartile

Interquartile range (IQR) = 39 - 27

Interquartile range (IQR) = 12

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Please help!!

Create a polynomial with 3 terms, written in standard form.
how do you know it’s in standard form?

if you can explain it as well that would be great :)

Answers

In mathematics, a polynomial is a mathematical expression that is the sum of a number of terms that contain the same variable raised to different powers. These come up all the time in the study of mathematics, so it is important to be familiar with them and the different forms we can write them in.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To write a polynomial in standard form, we make sure that any like terms are combined, and then we arrange the terms so that the exponents of each term go in descending order.

For example, consider the following polynomial:

8x - x + 2x + 3x² - 7x + 3

To write this polynomial in standard form, we first look for any like terms that need to be combined, where like terms are terms that have the same variable raised to the same power. We see that 8x and 2x are like terms, so we add these together to turn our polynomial into the following:

10x - x+ 3x² - 7x + 3

Now, we just rearrange the polynomial so that the term with the highest degree goes first, the term with the second highest degree goes second, and so on until the polynomial is arranged so that the exponents go in descending order from highest to lowest.

-x - 7x+ 3x² + 10x + 3

This gives us our polynomial in standard form.

A polynomial with 3 terms : x² + 3x³ + 27 - x

___________________________________________

HELPPPPP pictures will be shown

Answers

The perimeter of quadrilateral B is 12 units.

The sides of the quadrilateral are given as:

6, 9, 9, and 12.

Shortest side = 6

Shortest side of the scaled quadrilateral = 2

So, it is reduced by a factor of 3.

So, the sides of the scaled quadrilateral will be given by:

2, 3, 3 and 4.

Perimeter will be adding all the sides.

So, we get that:

The perimeter = (2 + 3 + 3 + 4)

P = 12 units

Hence, the perimeter of quadrilateral B is 12 units.

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Use proportions to solve the following problem.
A ​30-pound bag of topsoil will cover a surface area of 9 ft^2.

​a) How many pounds of topsoil are needed to cover a surface area of 270 ft^2?
​b) How many bags of topsoil must be purchased to cover a surface area of 270 ft^2?

Answers

It would take 16 days for the number of magical coins to exceed 50,000.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

30 pound = 1 bag

30 pound  = 9 ft²

a) For a surface area of 270 ft²:

Number of pounds = 270 ft² * 30 pound per 9 ft² = 900 pounds

b) For a surface area of 270 ft²:

Number of bags = 900 pounds * 1 bag per 30 pound = 30 bags

900 pounds is needed to cover a surface area of 270 ft² and 30 bags would be needed to be purchased

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Last time Laura hosted a fancy dinner party for her friends, she spent $108 to feed 9 people. This time, there will be only 7 people at the dinner party. How many dollars should Laura expect to spend this time?

Answers

The number of dollars Laura should pay at the dinner party is $84.

Given that, the last time Laura hosted a fancy dinner party for her friends, she spent $108 to feed 9 people. This time, there will be only 7 people at the dinner party.

What is proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of dollars paid by Laura for 7 people be x.

Now, 9:108::7:x

⇒9x=108×7

⇒x=12×7

⇒x=84

Therefore, the number of dollars Laura should pay at the dinner party is $84.

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Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 45,529(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?


y ≥ 0
y < 45529
0 < y ≤ 45529

Answers

The range of the exponential function y based on its equation and the context of the problem is; 0 < y ≤ 45529

What is the range of a function?

The range of a function is the set that contains all possible output values for the function.

In this question, the function is given as: y = 45,529(0.78)^x.

It is an exponential function with initial value 45,529 and rate of change  of 0.78.

Now, it should be noted that exponential functions that are not shifted down, such as this one, are never negative nor zero. Thus, the range also has the restriction y > 0, and is given by:

D. 0 < y ≤ 45529

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help me with this
pls help
i love you <3

Answers

Answer:

Step by step evaluation

Formula

T = 4B + 10C

Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.​

Answers

The length of the chord of the larger circle which touches the smaller circle.​

The chord of the larger circle which is touches the smaller circle having the length of 8cm.​  

Given that

Two concentric circles are of radii 5 cm and 3 cm.

To find

The length of the chord of the larger circle which touches the smaller circle.​

So, according to the question

we have,

The radius of larger circle = 5cm.The radius of smaller circle = 3cm.

From attached figure of that problem,

         BC = 5cm

         CD = 3cm

         AB = ........? (have to find) or from geometry

         AB = 2 BD ---------(1)

Now, we have to find BD,

So, from right angle triangle BDC.

       BD² = BC²-CD²             ( by Pythagoras theorem )

        BD = [tex]\sqrt{(BC)^2-(CD)^2}[/tex]

Putting the given values,

        BD = [tex]\sqrt{(5)^2-(3)^2}[/tex]

        BD = [tex]\sqrt{25-9}[/tex]

        BD = [tex]\sqrt{16}[/tex]

        BD = 4                (∵[tex]\sqrt{16} = 4[/tex])

Now, putting the value of BD in equation (1)

         AB = 2 BD ---------(1)

               = 2×4

         AB = 8

Answer:

The length of the chord of the larger circle which touches the smaller circle is 8cm.​        

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What are the positive and negative square roots of 256?

Answers

Answer:

16 and -16

Hope this helps! :)

Need help with this one.

Answers

Answer:

x ≠ 8, 5

Step-by-step explanation:

We only care about the denominator:

x² - 13x + 40

--------------------

-8 × -5 = 40

-8 + -5 = -13

--------------------

(x - 8) (x - 5) = 0

x - 8 = 0. x - 5 = 0

x = 8. x = 5

I hope this helps!

graph the function 2x +3y = -21

Answers

Answer:

check below

Step-by-step explanation:

2x + 3y = -21

3y = -21 - 2x

3y = - 2x -21

divide both sides by 3

y = -[tex]\frac{2}{3}[/tex]x - 7

A producer of printed circuit boards (PCBs) wishes to estimate the scoring depth of their circuits. To this end, they have collected 45 samples of measured depths. The mean and standard deviations of these samples is 0.165 mm and 0.022 mm respectively.

1. Create a plot showing the dependence of the size of the confidence interval (ρ) on the confidence level (γ) ranging from 0 to 1. Keep the sample size fixed at 45

2. Create a plot showing the dependence of the size of the confidence interval on the
sample size ranging from 1 to 100. Keep the confidence level fixed at 0.95. (Here you
can assume normality even where N <30)

3. Create a plot showing the pdf of the sample mean and with the area computed above shaded in. Hint: plt.fill between.

Answers

The mean and the standard deviations of the samples is 0.165 mm and 0.022 mm.

n = 45

[tex]\overline{X} = 0.165{~}mm[/tex]

s = 0.022 mm

Now, 95% of the confidence interval.

[tex]CI=\overline x {~}\pm t_{\frac{\alpha}{2}, n-1 }\frac{s}{\sqrt{n} }[/tex]

The critical values are:

α = 1 - 0.95 = 0.05

n - 1 = 45 - 1 = 44

[tex]t_{\frac{\alpha}{2} , n-1=t_{0.025,44}=2.0154[/tex]

So, 95% of CI =  0.165 ± 2.0154 × ( 0.022 ÷ √45 )

95% CI = ( 0.158, 0.172 )

1. The plot for the dependence of the size of the confidence interval on the confidence value ranging from 0 to 1.

2. A plot showing the dependence of the size of the confidence interval on the sample size ranging from 1 to 100.

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The longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6m find the longer diagonal and the area.

Answers

If the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6m. The longer diagonal is 10m and the area is 30m².

Longer diagonal

The longer diagonal is calculated as:

Longer diagonal=6+4

Longer diagonal=10m

The area is calculated as:

Area of kite=5m×6m

Area of kite=30m²

Therefore If the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6m. The longer diagonal is 10m and the area is 30m².

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what’s the answer????

Answers

Domain and range of the graphs are as follows:

1. D: [-4,4]  and   R: [1,3]

2. D: [-3,5]  and   R: [0,6]

3. D: [-2 ∝]  and   R: [-2,4]

Given:

In the first graph:

The graph's domain is its left-to-right travel distance.

Start by examining the leftmost point on this graph.

At the farthest left point, the x-value is at x=-4 Trace the graph once more until you reach the location that is the furthest to the right.

At this point, the x-value is 4. The graph is continuous from -4 to 4 since there are no breaks running from left to right.

Domain is as [-4,4]  also written as -4 ≤x≤4

The graph's range is its vertical range from down to up.

Look at the graph's lowest or most distant point. At this point, the y-value is equal to 1. Now examine the graph's top or how high it rises.

This is when x=-4 or x=4, but since we're determining the range right now, we need to take a look at the point's y-value, which is at y=3. Since the graph is continuous from top to bottom, there are no breaks in it.

Range : [1,3] also written as 1 ≤ y ≤ 3

similarly we find the rest of the domain and range of the graphs.

Hence  we don't get any line of symmetry in the graph.

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The biggest school in the world is in lucknow, india. it has more than 40,000 students and 2500 teachers! would it be easier to make new friends in a school with 40,000 kids than a school with fewer than 100 kids? A student is attending the local technical college in a course of study that will take several months to two years of study. What level of education is he probably pursuing?. Read each question. Then write the letter of the correct answer on your paper.What is an equivalent form of 5/2+2 i ?(F) 5/4i (H) 5+5 i / 4 (G) 10-10i / 4-4i (I) 5-5i / 4 Of the over $550 million dollars lent to low-income individuals or to those who do not have access to typical banking services, what was the approximate average size of a loan made by the kiva microfinance services organization?. According to this document, why were Native American Indians hostile to the surveyors? Give 3 examples of how organs systems work together round to the nearest thousand . 7665 Un coche tarda 9hrs en recorrer un trayecto siendo su velocidad de 85km/h, Cunto tardar en recorrer el mismo trayecto a 70km/h? Multiply. State any restrictions on the variables.8 y-4 / 10 y-5 . 5 y-15 / 3 y-9 A researcher wants to compare math performance scores of high school juniors who are located in various urban areas. the researcher will most likely conduct the research by using which descriptive research method? a. naturalistic observation b. longitudinal study c. cross-sectional study d. case study This morning, Milan's car had 19.57 gallons of fuel. Now, 3.8 gallons are left. How much fuel did Milan use?gallonsXS how much more does $1,000 earn in 8 years **Sometimes you are given the information for a part-to-partrelationship, but are asked about a part-to-whole relationship.When this happens, just add another row to your ratio table.The ratio of mammalsto reptiles at the petI store is 3:7. If there are90 animals at the petI store, how many of theanimals are reptiles?Show answer in a ratio table What is the meaning of the Latin affix in the word "uniforms"?onesamealonemanyits A Given t(x)=4x7,what is t(x)when x=3 Positive stress can help build stronger bones.TrueFalse When a bad thing (aversive stimulus) is applied to a person or animal and decreases the probability of a particular behavior, it is known as _____ ________ is the ability to ensure that e-commerce participants do not deny their online actions. How Does Disease Affect Cognition? In Young Love, what did the boy like about the girl?Her hair was long.Her hair was short.Her eyes were blue.He didn't like the girl.