In a class of 23 learners, the girls were 7 more than the boys. How many boys were in the class​

Answers

Answer 1

Answer:

8 boys.

Step-by-step explanation:

Lets say b is the number of boys and g is the number of girls.

We know that:

23 = b + g

g = b + 7

So then lets solve for b:

23 = b + g

23 = b + ( b + 7)

Simplify.

23 = 2b + 7

Subtract 7 from both sides to isolate the b.

16 = 2b

Divide both sides by 2.

8 = b

So there are 8 boys in the class.

We can check our work by substituting the value of b into our equation.

23 = b + ( b + 7)

23 = 8 + ( 8 + 7 )

23 = 8 + 15

23 = 23

So therefore our answer is correct.


Related Questions


What is the factored form of the polynomial?
x² - 12x + 27?
O(x+4)(x
+ 3)
O(x-4)(x
+ 3)
O(x + 9)(x + 3)
O(x-9)(x-3)

Answers

Answer:

D. (x-9)(x-3)

PLEASE MARK AS BRAINLIEST!!!

19.7 1. Jake found the hypotenuse of a right triangle to be an irrational number. Which of the following could be the number he found? O√16 O 12/13 O √2 k​

Answers

Answer:

√2

Step-by-step explanation:

An irrational number is one that cannot be expressed as p/q where both p and q are integers

Square roots of numbers which do not result in an integer are irrational

So it is the last choice √2

The Gomez family has 3 dogs and 2 birds. What fraction of the pets are birds?​

Answers

Answer:

2/5

Step-by-step explanation:

if there’s 5 pets and 2 of them are birds 2/5 of them are birds

The answer to your question is:

2/5

What is the approximate value of √77, to the nearest whole number?

Answers

8.774 is the answer rounded to 9
So 9

Enter the difference in feet between the elevation at Zabriskie Point and Badwater Basin​

Answers

The distinction in feet between the elevation at Zabriskie purpose and Badwater Basin​ is 930 feet.

Subtraction is associate degree operation wont to realize the distinction between numbers. Difference: the ultimate result once subtracting the number from the number.

The image of the amount line of the question is given below.

From the image , we are able to see that

Zabriskie purpose is at 648 feet and Badwater Basin is at - 282 feet.

The distinction between these points is given by

= 648 - (-282)

= 930 feet

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The complete question is mention below :

The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Badwater Basin​ .

sin²A+sin²A.tan²A=tan²A​

Answers

Greetings from Brasil...

Putting SIN² A in evidence

SIN² A(1 + TG² A) = TG² A

           1 + TG² A = SEC² A

SIN² A(SEC² A) = TG² A

SIN² A/COS² A = TG² A

TG² A = TG² A

What expression is equivalent to 5^0 • 5^3 A: 0. B:1. C:5^3. D:1/5^3

Answers

The letter B:1 is the closest one to the equivenlent expression

Find CD if KD=x+1 And KC=2x-1

Answers

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x

Please help me I’m confused

Answers

[tex]she \: paid = 2(1.69) + 1(1.49) + 1(1.09) + 0.68=6.64 \\ change = 10 - 6.64 = 3.36[/tex]

solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6

Answers

The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)

From the question, we are to solve the given system of equations

The given system of equations is

4x - y -2z = -8      ------------ (1)

-2x + 4z = -4        ------------ (2)

x + 2y = 6            ------------ (3)

From equation (2)

-2x + 4z = -4

4z = -4 + 2x

Divide through by 2

2z = -2 + x         ----------- (4)

From equation (3)

x + 2y = 6

2y = 6 - x

y = 3 - 1/2(x)      ---------- (5)

Substitute equations (4) and (5) into equation (1)

4x - y -2z = -8

4x -(3 -1/2(x)) - (-2 +x) = -8

4x -3 + 1/2(x) + 2 - x = -8

Multiply through by 2

8x - 6 + x + 4 -2x = -16

Collect like terms

8x + x -2x = -16 + 6 - 4

7x = -14

x = -14/7

x = -2

Substitute the value of x into equation (4)

2z = -2 + x

2z = -2 + (-2)

2z = -2 - 2

2z = -4

z = -4/2

z = -2

Substitute the value of x into equation (5)

y = 3 - 1/2(x)

y = 3 - 1/2(-2)

y = 3 + 1

y = 4

Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)

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Write 3thousands 16 tens 7 ones in standard form

Answers

Answer: 3,167

Step-by-step explanation:

Im pretty sure it would be 3,167

CAN YOU ANSWER NUMBER 30? THANK YOU

Answers

Answer:

the slope is -5/2 and the y-intercept is (0,-3)

Step-by-step explanation:

Answer:

y = -5/2x - 3

Step-by-step explanation:

First you distribute, -5/2 or -2.5 (x +4)

Which results in y - 7 = -2.5x + -10

and then add +7 to both sides

y = -2.5x + (-3 )

Turn x into a fraction and:

y = -5/2x - 3 The last answer choice

i t h i n k

Evaluate squareroot of
61.73²-38.27²

Answers

Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

[tex]\sqrt{2346}[/tex] = 48.43552415324934

2. How is the sentence "9 less than x is-1" written as an equati

Answers

X - 9 = -1

(Blank space filler)

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

the perimeter of a college basketball court is 96 meters
and the length is 3 meters less then twice the width.
What are the demensions.

Answers

Answer:

Width=17m and Length=31m

Step-by-step explanation:

The perimeter of basketball court is rectangle in shape and is 96 m.

let us assume width be x m

so accordingly length will be 2*x-3=2x-3m

Perimeter= 2*(length+width)

96=2*(2x-3+x)

96=2*(3x-3)  

96=6x-6

6x=102

x=102/6

x= 17

so, the width is 17m

and length is 2x-3=2*17-3=31m

What is 12.75w + 25 =114.25

Answers

Answer:

w = 7

Step-by-step explanation:

12.75w + 25 = 114.25

12.75w + 25 - 25 = 114.25 - 25

12.75w = 89.25

12.75w/12.75 = 89.25/12.75

w = 7

Hope this helps!  :)

( m n ) (x) for x = -3. m n (-3)=

Answers

Two expressions with equal sign is equation, if (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).

What is Equation?

Two expressions with equal sign is called as Equation.

Given,
(m/n)(x) for x=-3

i.e means we need to find (m/n)(-3)

So we have to calculate by putting -3 in to two functions m and n.

(m/n)(-3)=m(-3)/n(-3)

Therefore (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).

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LESSON 7.6 THERE ARE 4 QUESTIONS HERE PLEASE ANSWER ALL FOUR TO GET THE POINTS

Find the measure of the indicated angle to the nearest degree.

Answers

By using a trigonometric relation, we can see that the missing angle is a = 41.1°

How to find the missing angle on the right triangle?

In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.

These measures are:

Hypotenuse: 73 units.Opposite cathetus: 48 units.Adjacent cathetus: 55 units.

Now we can use the trigonometric relation:

Cos(a) = (adjacent cathetus)/(hypotenuse)

Where a is the angle we want to get, so we can rewrite:

Cos(a) = 55/73

Now, if we apply the inverse cosine function in both sides, we get:

Acos(Cos(a)) = Acos( 55/73)

a = Acos(55/73) = 41.1°

By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°

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25°
y
x 120°
y=[? ]º

Answers

Answer:9514 1404 393

Answer:

 y = 95°

 x = 60°

Step-by-step explanation:

The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:

 120° = 25° +y

 95° = y . . . . . . . . . . subtract 25° from both sides

_____

If you like, you can get there by calculating x (or not):

 x = 180° -120°

 y = 180° -25° -x = 180° -25° -(180° -120°)

 y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x

Step-by-step explanation:

What is an equation of the line that passes through the points (5,0) and (-8,0)

Answers

Answer:

y = 0x

explaination

What is .75x.75x.75x.75x.75 written as a power

Answers

Answer: 75^5 which mean 75 to the 5th power

Step-by-step explanation:

If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are
a. substitutes.
b. complements.
c. normal goods.
d. inferior goods.
e none of the above

Answers

If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"

Substitutes are two goods that can be used in place of each other for a similar purpose.

In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.

Complements are two goods that are used together, such as peanut butter and jelly.

Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.

Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

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4. A parcel of land is subdivided into five building lots as
shown below. What fractional part of the total area of the
parcel of land is represented by each of the five lots?
Express answers in lowest terms.
LOT #2
AREA =
19,750 sq ft
LOT #1
AREA =
15,000 sq ft
LOT #3
AREA =
14,500
sq ft
LOT #4
AREA =
17,875
sq ft
LOT #5
AREA =
16,625
sq ft
[4 marks]

Answers

The fractional representation of each plot is given by 12/67 , 79/335 , 58/335 , 143/670 and 133/670 .

A fraction denotes a component of a whole or, more broadly, any number of equal pieces. A common or simple fraction is made up of a non-zero denominator that is displayed below (or after) the line that the numerator is displayed above (or before a slash, as in the case of 12). Compound fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

The total area of the lot is given by (19750+15000+14500+17875+16625) =83750 square feet.

Fractional representation of Lot 1= 15000 ÷ 83750 = 12/67

Fractional representation of Lot 2= 19750 ÷ 83750 = 79/335

Fractional representation of Lot 3= 14500 ÷ 83750 = 58/335

Fractional representation of Lot 4= 17875 ÷ 83750 = 143/670

Fractional representation of Lot 5= 16625 ÷ 83750 = 133/670

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The equation: s=p2−p2 gives the number of handshakes, s, that would take place when p people gather in a room and every person in the room shakes the hand of every other person exactly once. A) There are 12 people in the room, how many unique handshakes will there be? Answer: There will be unique handshakes. B) If there are 120 unique handshakes in the room, how many people are there? Answer: There are people in the room.

Answers

serian

respuesta 9 .5 por 56. 5678902

Looking at the box-an-whisker plot for the package weight data below, what
does the position of the median line in the box and the length of the whiskers
tell you about the shape of the distribution?
Ground Beef Package Weight Data (in pounds)
0.75
0.83
0.87
0.89
0.89
0.89
0.92
0.93
0.96
0.96
0.97
0.98
0.99
1.06
1.08
1.08
1.15
1.16
1.16
1.19
1.19
1.2
1.21
1.24
1.28
1.38
1.41
OA. The data is uniformly distributed.
B. The distribution is strongly skewed to the right.
OC. The position of the median and length of whiskers tell you little
about the shape of the distribution.
D. The data is roughly symmetrical and mound-shaped (normally
distributed).
O E. The distribution is strongly skewed to the left.

Answers

The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .

A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.

Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.Box plots display a data set's minimum score, first (lower) quartile, median, third (upper), and maximum scores in a five-number summary.The median is the average value from a set of data and is shown by the line that divides the box into two parts.Almost half the scores are greater than or equal to this value and half are less than the median value.

Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.

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Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Assume that P(X ≤ X₀) = P(Z ≤ 1.3). Which of the following equations should be solved to get the value of X₀?

Answers

For the standard deviation, from the equation find the value of X₀ is 10.2

What is Standard Deviation ?

The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.

Given

Z = 1.3

μ = 5 , σ = 0.4

Now for  X₀

Z =    X₀ -X / σ

1.3 =   X₀ - 5 / 0.4

X₀ = 10.2

Hence, X₀ = 10.2

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A tree is 5 feet and 10 inches tall how tall is it in inches

Answers

Answer:

70 inches

Step-by-step explanation:

remembering that 1 foot is 12 inches, you would do 12 inches multiplied by 5 feet. 12x5=60. After adding 60 inches to the remaining 10 inches, you get 70 inches. The tree is 70 inches tall

The estimated weight of a blue whale is 3.46 x 105 pounds. The estimated weight of a
sei whale is 5.6 x 104 pounds. What is the combined estimated weight of the two
whales?

Answers

The combined estimated weight of the two whales is 945.7 Pounds.

The estimated weight of a blue whale = 3.46 × 105

Total estimated weight of a blue whale = 363.3 Pounds

Now, the estimated weight of a sea whale = 5.6 × 104

Total estimated weight of a sea whale = 582.4 Pounds

For finding the combined estimated weight of the two whales,

we will add the total estimated weight of both whales.

Here is how we will do it:

Total estimated weight of a blue whale + Total estimated weight of a sea whale

= 363.3 Pounds + 582.4 Pounds

Hence, 945.7 Pounds will the combined estimated weight of the two whales.

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Help me fast. somone please thanks <3

Answers

Answer:

[tex]6\frac{1}{9}[/tex]

Step-by-step explanation:

You said you needed the answer fast if you want I cant still give an explination.

7. The question is in the screenshot

Answers

The total number of vehicles is simply given as

A total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]

This is further explained below.

What is the distance?

Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.

When discussing physics or using the term in daily conversation, "distance" may either refer to a literal measurement or an approximation based on several other factors.

In conclusion, Here, we need to include all of the cars that are available on the length of road that is 20 miles long, and we can accomplish this by integrating the density function f. (x).

Therefore a total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]

Option C

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