The height of the window is 9-x feet, the perimeter of the window is 36-2x.
What is an expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
What is algebraic expression?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables.
Given that,
A window is 9 feet long.
Its length exceeds its height by x feet.
The length of the window = 9 feet
Then, the height of the window,
x feet shorter than the length= 9-x feet
As a result, the window is 9-x feet tall.
The perimeter of the window is 2 (l+b)
2 (9+9-x),
2 (18-x),
36 - 2x.
Therefore, the perimeter of the window is 36-2x.
To learn more about an expression visit:
https://brainly.com/question/14083225
#SPJ9
a. write a sequence too described the number of blocks needed to create the figure for each step.
b. how many blocks will be needed to create the next figure?
c. describe the sequence in words
3. in a sequence, the first term is 12 and the common difference is -5. find the 4th term of sequence
Using arithmetic sequences, it is found that:
a) The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex].
b) 14 blocks will be needed to create the next figure.
c) The sequence means that the number of blocks start at 5 and increase by 3 each figure.
3) The 4th term of the sequence is of -3.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
From the figure, we have that:
The Figure 1 has 5 dots.The Figure 2 has 8 dots.The Figure 3 has 11 dots.Hence the first term and the common ratio are given as follows:
[tex]a_1 = 5, d = 3[/tex]
The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex], hence the sequence means that the number of blocks start at 5 and increase by 3 each figure.
For item b, the amount is:
[tex]a_4 = 5 + 3(4 - 1) = 14[/tex]
14 blocks will be needed to create the next figure.
For item 3, the sequence is given by:
[tex]a_n = 12 - 5(n - 1)[/tex]
Hence the 4th term is:
[tex]a_4 = 12 - 5(4 - 1) = -3[/tex]
The 4th term of the sequence is of -3.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
The sum of the speeds of two trains is
719.8 miles per hour. If the speed of the first train is
6.2 mph faster than the second train, find the speeds of each.
Taking into account the definition of a system of linear equations, the speed of the first train is 363 mph and the speed of the second train is 356.8 mph.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In other words, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Speed of each trainIn this case, a system of linear equations must be proposed taking into account that:
"F" is the speed of the first train."S" is the speed of the second train.The sum of the speeds of two trains is 719.8 miles per hour. The speed of the first train is 6.2 mph faster than the second train.So, the system of equations to be solved is
[tex]\left \{ {{F+S=719.8} \atop {F=S+6.2}} \right.[/tex]
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
S + 6.2 + S= 719.8
Solving:
2S + 6.2= 719.8
2S= 719.8 - 6.2
2S= 713.6
S= 713.6÷ 2
S= 356.8
Remembering that F= S+ 6.2, then:
F= 356.8 + 6.2
F= 363
In summary, the speed of the first train is 363 mph and the speed of the second train is 356.8 mph.
Learn more about system of equations:
brainly.com/question/12266438
brainly.com/question/14323743
brainly.com/question/1365672
brainly.com/question/20533585
#SPJ1
Use the spinner below to find the probability of getting the following after 1 spin.
10
9
11
8
12 1
7 6
2
5
3
4
P(number> 11) | I
=
(Round to 4 decimal places)
The probability of getting no. less than 11 after 1 spin is 0.833 .
An experiment is a situation involving chance or probability that leads to results called outcomes.
An outcome is the result of a single trial of an experiment.
An event is one or more outcomes of an experiment.
Probability is the measure of how likely an event is.
P(A) = The Number Of Ways Event A Can Occur /(The total number Of Possible Outcomes).
The probability of an event depends on the number of favorable (occurrence of the desired event) outcomes in comparison to the total number of outcomes.
We define the probability of an event by dividing the favorable outcomes by the total number of outcomes, as shown below.
P = n(E) / n(S)
Where,
n(E) = The favorable number of outcomes
n(S) = The total outcomes
Given Data:
The spinner rotates 1 time
find the probability of getting P(number> 11) from numbers 1 to 12.
n(E) = 10
n(S) = 12
P(A) = 10 /12
p(A) = 5/6
p(A) = 0.8333..
Thus, the probability of getting no. less than 11 after 1 spin is 0.833
To learn more about probability
visit - https://brainly.com/question/10734660
#SPJ9
Can somone help me with these fractions will give u brainliest :'(
Answer:
2/3 < 14/6
3/8 < 8/3
2 1/6 > 5/9
5. The surface area of a cuboid is 518 cm².
The breadth of the cuboid is 11 cm and its
height is 9 cm. Find the length of the cuboid.
The correct answer is 8 cm.
Given the surface area = 518 cm²
breadth of the cuboid = 11 cm
height of the cuboid = 9 cm
Now let l be the length of the cuboid,
The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively
Cuboid's total surface area formula,
Thus the surface area of the cuboid = 2(lb+bh+lh)
518 = 2 ( l × 11 + 11 × 9 + l × 9 )
518 = 2 (11l + 99 + 9l)
259 = 11l +99 +9l
259 - 99 = 20 l
160/20 =l
length = 8 cm
To learn more about surface area cuboid refer the link:
https://brainly.com/question/14314593
#SPJ9
(0, 0), (3, 3)
What is the slope of these 2 points and how do I find it
Answer:
The slope is 1
Step-by-step explanation:
(3-0)/(3-0) = 3/3 = 1
Christa and Megan have sales jobs at different companies. Christa earns $18 for each successful sales call she
makes plus 3% commission on her sales. Megan earns $21 for each successful sales call she makes plus 3.5%
commission on her sales. In July, Christa made 35 successful sales calls and Megan made 29 successful sales calls.
They each had the same sales, in dollars, for July, and they made the same total salary that month. Which equation
can be used to find x, the amount Christa and Megan each had in sales in July?
The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the amount Christa and Megan each had in sales in July. Hence:
For Christa = 18(35) + 0.03x
For Megan = 21(29) + 0.035x
630 + 0.03x = 609 + 0.035x
The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
The answer because this question is kinda confusing
Answer: Find [tex]2^{21} = (2y)^{3}[/tex] then the solution of [tex]y^{3}[/tex] = [tex]2^{7}[/tex]
Step-by-step explanation:
Given data,
[tex]2^{21}[/tex] = [tex](2y)^{3}[/tex]
[tex](a^{m)^{n} }[/tex] = [tex]a^{m*n}[/tex] says that when you take a number, a , and multiply it by itself m times, then multiply that product by itself n times, it's the same as multiplying the number a by itself m * n times.
we can use formula,
[tex](a^{m)^{n} }[/tex] = [tex]a^{m} a^{n}[/tex]
So,
we can write,
[tex]2^{21}[/tex] = [tex]2^{3} y^{3}[/tex]
[tex](2^{7} )^{3}[/tex] = [tex]2^{3} y^{3}[/tex]
[tex]2^{7} 2^{3}[/tex] = [tex]2^{3} y^{3}[/tex]
cancel the [tex]2^{3}[/tex] in both sides,
Then,
[tex]2^{7}[/tex] = [tex]y^{3}[/tex]
Therefore,
[tex]y^{3}[/tex] = [tex]2^{7}[/tex]
Learn more about event correlation here: brainly.com/question/11353285
#SPJ9
x shares pay 8% dividend and y shares pay 9%. Reiko has invested 200000 more on x shares than she has on y shares. Her total earnings for the year for the two investments is 271000. How much did she invest in x shares
The amount Reiko invested in x shares is 1,700,000 based on 8% annual dividend
How do represent the amounts invested in each share?
The fact that Reiko invested 200,000 more on x shares means that if we assume that he invested Z on y shares then the amount invested in x shares is Z+200000
return on x shares=(Z+200,000)*8%
return on x shares=0.08Z+16000
return on y shares=Z*9%=0.09Z
total return=0.08Z+16000+0.09Z
total return=0.17Z+16000
total earnings=271000
271000=0.17Z+16000
271000-16000=0.17Z
255000=0.17Z
Z=255000/0.17
Z=1,500,000
Z+200,000=1,500,000+200,000=1,700,000
Find out more about dividends on:https://brainly.com/question/16180039
#SPJ1
A dress was priced at 150 dollars. Each month, the price is reduced by 12 dollars. How much was the coat reduced in price after three months
Answer:
Step-by-step explanation: the coat was reduced by 12 dollars for 3 months so take 12x3= 36. So the coat was reduced by 36 dollars.
a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be
If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.
Distance(Work)
A
/ ║
/ ║
/ ║ 7 miles
/ ║
(Home) B /___________║C
14 miles
Using Pythagorean theorem formula to determine the what the distance will be:
Hypotenuse²=√Perpendicular² +Base²
Let plug in the formula
Hypotenuse²=√7²+14²
Hypotenuse²=√49+196
Hypotenuse²=√245
=15.65 miles
Therefore If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.
Learn more about distance here: https://brainly.com/question/26046491
#SPJ1
PLEASE HELP
Simplify 4/5/10. Give the answer in simplest form.
Answer:4
5
÷
10
Rewrite the division as a fraction.
4
5
10
Multiply the numerator by the reciprocal of the denominator.
4
5
⋅
1
10
Cancel the common factor of
2
.
Tap for more steps...
2
5
⋅
1
5
Multiply
2
5
by
1
5
.
2
5
⋅
5
Multiply
5
by
5
.
2
25
The result can be shown in multiple forms.
Exact Form:
2
25
Decimal Form:
0.08
Step-by-step explanation:
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
James defines that an angle is a figure consisting of two rays.
The statement of James is not precise enough because he should specify that the rays must be collinear.
The two rays coming from the same point will form collinear rays which will form an angle at the end point. The common end point is the vertex of the angle. And each ray will known as an arm of an angle.
From the figure, we can see that the vertex is the corner of the angle, i.e., O is the vertex in the given figure.
OA and OB are the two arms of the angle. The line OB is also known as reference line which is the line where an angle is drawn.
Also, the line OA will be considered as terminal line. Terminal line is the side up to which an angle measurement done.
Know more about An Angle: -https://brainly.com/question/24301874
#SPJ9
what to do with these points
I think they're for posting questions
If A={2,3,4}and B {1,3,5,7} what will be AnB
Answer:
A∩B = { 3 }
Step-by-step explanation:
A∩B means "the intersection of A and B" as in "all elements that appear in BOTH sets".
Only 3 appears in both sets.
Functions of a polynomial. graph f(x)=(x+5)^2
Using a transformation of the parent function y = x², the graph of f(x) = (x + 5)² is given at the end of the answer.
What are transformations on the graph of a function?Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.
Examples of transformations are as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.For this problem, the parent function is given by:
f(x) = x².
Which has a parabolic graph with vertex at (0,0).
For f(x) = (x + 5)², we have that x -> x + 5, meaning that the function is shifted 5 units left, meaning that the parabola has a vertex at (0,-5), and the graph is given at the end of the answer.
More can be learned about transformations in a function at https://brainly.com/question/28687396
#SPJ1
Explain how to use estimation to solve this problem
Answer:
If the debt of 24 trillion was equally divided by 300 million people, it's not really an estimation. You have an exact answer.
You would just divide it so each person owes $80,000
As the x-value increases
by 2, the y-values increases
by 60.
Answer: 30
Step-by-step explanation:
Slope: y/x
y/x =
+60/+2=
60/2=30
the area of T is 17cm calculate the area of U
Based on the area of T, the area of U can be calculated to be 272 cm²
How to find the area?When you have an object that is enlarged and have the area of the object before it was enlarged, the area of the enlarged object is:
= Area of original object x Scale factor of enlargement ²
The scale factor is:
= Side of U / Corresponding side of T
= 12 / 3
= 4
The scale factor is 4.
The area of U is therefore:
= 17 x 4²
= 272 cm²
Find out more on area at https://brainly.com/question/8147174
#SPJ1
Can't seem to understand this, please help!
The equations of each line are:
a. y = -3x + 3
b. y = -2/3x - 3
How to Write the Equation of a Line?In slope-intercept form, the equation of a line is written as, y = mx + b, given that:
m is the slope valueb is the y-intercept valueNote: the slope values of parallel lines are the same.
a. The slope of y = -3x - 1 is, -3. The line that is parallel to it will have the same slope (m) of -3.
Substitute m = -3 and (x, y) = (2, -3) into y = mx + b to find b:
-3 = -3(2) + b
-3 = -6 + b
-3 + 6 = b
3 = b
b = 3
Substitute b = 3 and m = -3 into y = mx + b
y = -3x + 3
b. Rewrite 2x + 3y = 6 in the slope-intercept form
3y = -2x + 6
y = -2/3y + 2
The slope of y = -2/3y + 2 is, -2/3. The line that is parallel to it will have the same slope (m) of -2/3.
Substitute m = -2/3 and (x, y) = (0, 5) into y = mx + b to find b:
5 = -2/3(0) + b
-3 = 0 + b
-3 = b
b = -3
Substitute b = -3 and m = -2/3 into y = mx + b
y = -2/3x - 3
Learn more about the equation of a line on:
https://brainly.com/question/13763238
#SPJ1
Question: 5/20
Mike bought 17 bottles of beer from a shop. He wants to
move these bottles to his car If he can only carry 3 bottles at
a time, what is the minimum humber of trips he needs to make
to carry these bottles?
Answer:
6 trips
Step-by-step explanation:
divide by 3
17/3
5.66666666
now round it off and say 6
Please please please please please help me
estimate the answers to these questions by rounding the numbers the numbers
a.-28-53. b.514+-321
c. -888- - 111. d.-61.1 + -29.3
The solutions after rounding the numbers are;
a. 80
b. 190
c.780
d. 90
What is Rounding number?
Rounding means making a number simpler but keeping its value close to what it was.
The questions are given as;
a. -28 - 53
b. 514 + -321
c. -888 - - 111.
d. -61.1 + -29.3
Now, solve and rounding the numbers as;
a. -28 - 53 = 81
After rounding it we get;
81 ≈ 80
Hence, -28 - 53 = - 80
b. 514 + -321 = 514 - 321
= 193
After rounding it we get;
⇒ 193 ≈ 190
Hence, 514 + -321 ≈ 190
c. -888- - 111 = - 888 + 111
= - 777 ≈
After rounding it we get;
- 777 ≈ - 780
d. -61.1 + -29.3 = -61.1 - 29.3
= - 90.4
After rounding it we get;
- 90.4 ≈ - 90
So, The solutions are;
a. 80
b. 190
c.780
d. 90
Learn more about the rounding number visit:
https://brainly.com/question/555836
#SPJ1
Write 762,508
in expanded form using exponents
It should be noted that writing 762,508 in expanded form using exponents will be 762,508 = 700000 + 60000 + 2000 + 500 + 8.
How to illustrate the information?It should be noted that exponents simply means expanded notation. It's the way of writing to see the individual digits.
Therefore, writing 762,508 in expanded form using exponents will be:
762,508 = 700000 + 60000 + 2000 + 500 + 8
Therefore, it should be noted that writing 762,508 in expanded form using exponents will be 762,508 = 700000 + 60000 + 2000 + 500 + 8
Learn more about exponents on:
brainly.com/question/819893
#SPJ1
Three investment portfolios are shown below.
ROR Portfolio 1 Portfolio 2 Portfolio 3
−3.8% $700 $1,250 $1,025
2.1% $2,575 $1,700 $500
11.3% $220 $1,515 $790
5.8% $1,000 $1,345 $250
1.6% $1,430 $1,675 $2,500
Using technology, calculate the weighted average of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 3, Portfolio 2
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 3, Portfolio 1
What is weighted average ROR?
The weighted average ROR is the sum of rate of returns of the assets in the portfolio multiplied by the portion of the portfolio invested in each security
Portfolio 1:
total investment=$700+$2,575+$220+$1,000+$1,430
total investment=$5925
weighted average ROR=(-3.8%*$700/$5925+2.1%*$2575/$5925+11.3%*$220/$5925+5.8%*$1000/$5925+1.6%*$1430/$5925)
weighted average ROR=2.25%(third)
Portfolio 2:
total investment=$1,250+$1,700+$1,515 +$1,345+$1,675
total investment=$7485
weighted average ROR=(-3.8%*$1,250/$7485+2.1%*$1,700/$7485+11.3%*$1,515 /$7485+5.8%*$1,345/$7485+1.6%*$1,675/$7485)
weighted average ROR=3.53%(first)
Portfolio 3:
total investment=$1,025+$500+$790+$250+$2,500
total investment=$5065
weighted average ROR=(-3.8%*$1025/$5065+2.1%*$500/$5065+11.3%*$790/$5065+5.8%*$250/$5065+1.6%*$2,500/$5065)
weighted average ROR=2.28%(second)
Find out more about weighted average ROR on:https://brainly.com/question/9816365
#SPJ1
about how many pizzas does mr. t's pizzeria sell each week ? remember , there are 7 days in a week
Answer:
Is there any more information than that? if there Is I might be able to help
what is the simplifed form of the following expression? (3/5)^3
Answer:
Step-by-step explanation:
The simplified form of the expression (3/5)³ = 27/125
Step-by-step explanation:
The given expression is (3/5)³
3/5 is a proper fraction.
(3/5)³ can be written as,
(3/5)³ = 3³/5³
To find 3³ and 5³
3³ = 3*3*3 = 27
5³ =5*5*5 =125
Find the equation of the line shown.
Answer:
y=x+6
Step-by-step explanation:
First, write out the slope intercept equation.
y=mx+b
Ok, the first step for finding a linear equation is finding the y-intercept. The line crosses the y-axis at 6, so the y-intercept is 6. Plug that into the slope-intercept Equation:
y=mx+6
Then, slope is rise over run, and the line goes up 1 and right 1 to get to the next point, so divide those numbers.
1/1=1
Then plug that into your slope intercept equation:
y=1x+6
Since the one won't do anything, it will just be this:
y=x+6
Brainly User
11/01/2016
Mathematics
Middle School
answered
By recycling 1 ton of paper,6,953 gallons of water are saved. How many gallons of water are saved by recycling 4 tons of paper?
The number of gallons that would be saved after the recycling 4 tons of paper would be 27, 812
What is proportion?Proportion can be defined as the mathematical comparison of two numbers.
It is also said to be an equation defining two given ratios as equivalent to each other.
From the information, we have that;
By recycling 1 ton of paper, 6, 953 gallons of water was saved
To determine the gallons of water that would be saved after recycling 4 tons of paper, we have to;
If 1 ton of paper = 6, 953 gallons of water
Then 4 tons of paper = x
cross multiply
x × 1 = 6953 × 4
multiply through
x = 27, 812 gallons
The number of gallons that would be saved after the recycling would be
27, 812 gallons
Thus, the number of gallons that would be saved after the recycling 4 tons of paper would be 27, 812
Learn more about proportion here:
https://brainly.com/question/1781657
#SPJ1
The wholesale cost of a bicycle is $98.75. The markup for the bicycle is 33.3%. Find the selling price of the bicycle to the nearest cent.
The selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
What is the selling price of the bicycle whose mark-up is as described in the task content?The wholesale cost price of the bicycle in discuss is $98.75 as described in the task content while the markup for the bicycle is as given in the task content.
On this note, it follows that the selling price of the bicycle is the sum of its cost price and it's mark-up. Hence, we have;
Selling price = $98.75 + (33.3% of $98.75)
= $98.75 + (0.333 × $98.75)
= 98.75 + 32.88
= $131.63.
Ultimately, selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
Read more on percentages;
https://brainly.com/question/22603224
#SPJ1