The perimeter of the rectangle below is 128 units. Find the length of side VW .
Write your answer without variables.
Answers
Perimeter=2 (length +widht )
128=2 (2y+3+3y+1)
64=5y+4
5y=60
y=12
VW=3y+1=3.12+1=37
P = 2a + 2b where
a = 2(3y + 1 ) and b = 2(2y +3)
P = 6y + 2 + 4y + 6 = 10y + 8 = 128
now we can solve for y
10y = 120
y = 12
Now we just express value of y in formula for finding lenght of VW and we got length
Answer is 37
Related Questions
Heather has $500 in her savings account. she withdraws $20 per week for gas. write an equation heather can use to see how many weeks it will take her to have a balance of $220.
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220 - 500 = -20w
- 280 = -20w
-280/-20 = w
14 = w.....it would take 14 weeks
$29,000;$4 decrease find the new amount given the original amount and the percent of change.
Answers
0.0138%
52.063 divided into 9.2 rounded to the nearest hundredth
Answers
Answer:
The answer is 5.66
Step-by-step explanation:
52.063 divided by 9.2 is 5.65902173913. Then you round of to the nearest hundredth which is two decimal places to the right (so it's 5). Then you round it off one value higher since 9 is above 5. Therefore the final answer is 5.66
A model rocket is launched with an initial upward velocity of201ft/s . The rocket's height h (in feet) after t seconds is given by the following. h=201t -16t^2
Find all values of for which the rocket's height is 93 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
...?
Answers
The values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
A model rocket is launched with an initial upward velocity of 201ft/s.
The rocket's height h (in feet) after t seconds is given by the following:
h = 201t -16t²
The above equation is parabolic.
Plug h = 93 feet
93 = 201t - 16t²
16t² - 201t + 93 = 0
After solving with the quadratic formula:
[tex]\rm t_{1,\:2}=\dfrac{201\pm \sqrt{201^2-4\left(16\right)\left(93\right)}}{2\left(16\right)}[/tex]
t = 0.481, 12.081
or
t = 0.48, 12.08 secods
Thus, the values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
Write the distribution of 7×6=
Answers
Mark has a baking tray with 24 muffins and the muffin are arranged in 4 equal rows how many are there in each row
Answers
4 equal rows
24 / 4 = 6
The answer is: 6 muffins in each row
Hope the answer helps :)
There are 6 muffins in each row.
How does the graph of g(x) 1/x+4-6 compare to the graph of the parent function f(x) 1/x
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Answers
Answer:
Option 4- Graph of g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
Given : Graph of [tex]g(x)=\frac{1}{x+4}-6[/tex]
To find : How does the graph of g(x) compare to the graph of the parent function [tex]f(x)=\frac{1}{x}[/tex]
Solution :
The graph f(x) is being translated to form the graph g(x).
In graph [tex]g(x)=\frac{1}{x+4}-6[/tex] there is
Translation of 4 unit left and 6 unit downward.
In graph f(x) if we shift the graph with 4 unit left it form
f(x)→f(x+b) , the function is shifted towards left with b unit.
So, [tex]f(x)=\frac{1}{x+4}[/tex]
In graph f(x) if we shift the graph with 6 unit downward it form
f(x)→f(x)-a , the function is shifted downward with a unit.
So, [tex]f(x)=\frac{1}{x+4}-6[/tex]
Therefore, Option 4 is correct.
Graph of g(x) is shifted 4 units left and 6 units down from f(x).
Bill makes four payments a year of $128.25 for life insurance; four payments of $161.82 for real estate taxes; twenty-four payments of $37.46 for health insurance; and six payments of $221.65 for auto insurance. What is the total of his annual fixed expenses for these items?
Answers
162.82 × 4 = 651.28
37.46 × 24 = 899.04
221.65 × 6 = 1329.9
So add them all up.
3393.22
To calculate the total annual fixed expenses, we multiply the number of yearly payments by the amount of each payment for the different insurances and taxes, and then add these products together to find that the annual fixed expenses total $3,388.74.
The student has asked to calculate the total of his annual fixed expenses for life insurance, real estate taxes, health insurance, and auto insurance. To determine this, we will multiply the amount of each payment by the number of times the payment is made annually and then sum these amounts to get the total yearly expense:
Life Insurance: 4 payments of $128.25
Real Estate Taxes: 4 payments of $161.82
Health Insurance: 24 payments of $37.46
Auto Insurance: 6 payments of $221.65
Now, we calculate each:
Life Insurance: 4 imes $128.25 = $513.00
Real Estate Taxes: 4 imes $161.82 = $647.28
Health Insurance: 24 imes $37.46 = $898.56
Auto Insurance: 6 imes $221.65 = $1,329.90
Adding these amounts gives us the total annual fixed expenses:
$513.00 (Life Insurance) + $647.28 (Real Estate Taxes) + $898.56 (Health Insurance) + $1,329.90 (Auto Insurance) = $3,388.74 as the annual fixed expenses.
Explain how you use the bar model to solve 14-7 equal seven
Answers
Use the function described below to answer questions 1 - 4.
Yvonne invested $4,000 in a savings account which pays 3.5% interest compounded annually. Use the formula A = P(1 + r)t, where P is the principal, r is the interest rate, and t is the time in years.
1. Approximately, how much money will Yvonne have in 4 years? Round to the nearest cent.
2. Approximately, how much money will Yvonne have in 8 years? Round to the nearest cent.
3. Approximately, how many years will it take for Yvonne to double her money? Write the number of years only.
4 Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.00 and it depreciates at a rate of 45% each year, in how many years will it be worth less than 1/3 of what he paid for it?
Answers
0.00014s in scientific notation? ...?
Answers
Is the value in scientific notation
A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the the ladder?
A) 1 foot
B) 2 feet
C) 5 feet
D) 22 feet
Answers
5 feet.
please help me I really need it.
Answers
Answer:
(x, y, z) = (-5, -1, 0) (x, y, z) = (-8, -7, 5)Step-by-step explanation:
1. A graphing calculator or equation-solving web site can tell you the solution is (-5, -1, 0).
As is sometimes the case with multiple-choice questions, you can choose the "consensus answer".
For x, -5 appears in 3 of 4 answer choices.
For y, -1 appears in 3 of 4 answer choices.
For z, 0 appears in 3 of 4 answer choices.
Thus, the "consensus" is that the answer is (-5, -1, 0). Choosing this one to check can shorten the work of checking the answer choices.
-5 +5(-1) +4(0) = -10 . . . first equation can use this answer2(-5) -(-1) +5(0) = -9 . . . second equation can use this answer2(-5) -10(-1) -5(0) = 0 . . . third equation can use this answerSo, by "guess and check" we have determined the solution to be (-5, -1, 0).
__
2. First of all, you can substitute the given value of z into the other two equations. Then you have ...
2x -y +5 = -4-2x +3y -5 = -10The first of these equations can be solved for y:
y = 2x +9
and this can be substituted for y in the second of these equations:
-2x +3(2x +9) -5 = -10
4x +22 = -10
4x = -32
x = -8
and ...
y = 2(-8) +9 = -7
So this solution, too, is the "consensus solution," ...
(x, y, z) = (-8, -7, 5)
Which of the following is a factor of 2x4 + 22x3 + 60x2?
2x3
x4
x + 4
x + 5
Answers
Answer
One factor of the equation [tex]2x^{4} + 22x^{3} + 60x^{2}[/tex] is x + 5 .
Option (d) is correct.
Reason
As the equation in the question is as follows
[tex]= 2x^{4} + 22x^{3} + 60x^{2}[/tex]
simplify the above
Taking 2x² as a common part
= 2x²(x² + 11x + 30 )
= 2x² (x² + 5x + 6x + 30)
= 2x²(x(x+5) +6(x + 5))
= 2x²(x + 5)(x + 6)
Therefore the factors are 2x² , (x +5) , (x + 6) .
whats x?
16x - 4x = -48
If possible, can you show your steps
Answers
12x = -48
12x/12 = -48/12
x = -4
The price of a pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these shoes? A.) $2.84 B.) $3.16 C.) $4.50
Answers
tax=tax rate(change the % to a decimal)xprice of item
which in this case comes out to be $2.84
In the fall, you go to the local nursery and purchase a package of 10 rose plants. The clerk informs you that on average you can expect 5% of the plants to not live through the winter. Assume that the plants are a random sample.
a) Use the binomial formula to determine the probability that one or more of the plants will not survive the winter.
b) What is the probability that all the plants will survive? Write how the binomial formula is used to calculate the probability.
Answers
p = 0.05, q = 1 - 0.05 = 0.95
a.) P(1 or more will not survive the winter) = 1 - P(all will survive the winter) = 1 - P(0) = 1 - 10C0 (0.05)^0 (0.95)^10 = 1 - 1(1)(0.5987) = 0.4013
b.) P(all will survive) = P(none will die) = P(0) = 0.5987
Simplify.
2+{8−2[32+5(1+2)]}
Answers
Answer:
-84 is the answer.
Step-by-step explanation:
The given expression is 2 + {8 - 2[32 + 5(1 + 2)]}
We will start solving the inner most parenthesis first.
2 + {8 - 2[32 + 5×3]}
Further solve the parenthesis having the addition of 32 and 15
= 2 + {8 - 2[32 + 15]}
= 2 + {8 - 2×[47]}
Finally we will solve the last parenthesis.
= 2 + {8 - 94}
= 2 + {-86}
= 2 - 86
= -84
Denver is called the mile-high city because it is at an altitude of 1 mile. how many feet is the
Answers
How to do 4 3/4 -9 2/3?
Answers
4- 9 ➡ -5
3 over 4- 2 over 3
9 over 12- 8 over 12 ➡ 1 over 12
-5 + 1 over 12 ➡-4 and 11 over 12
Therefore, your answer would have to be ➡ 4 and 11 over 12
What is the area of ABC below? If necessary, round your answer to two decimal places.
Answers
(9.4)^2 + (23.2)^2 = c2
88.36 + 538.24 = c2
626.6 = c2
c= 25.03
Now that we have the base, let us proceed for the Area.
The formula for area would be A = 1/2 (b)(h)
Plug in the values.
A = 1/2(25.03)(7.9)
A= 1/2(197.74)
A= 98.87
Therefore, the area of figure ABC is 98.87.
Hope this answer helps.
The answer I got from apex was- 106.26
A student gets paid to sell raffle tickets at the school basketball game. He earns $15 a day, plus an extra $0.25 for each raffle ticket he sells and $2 for each hour he works at the game. If d = days, r = raffle tickets, and h = hours, what function can he use to calculate his earnings?
Answers
T = 15d +r/4 +2h
or
you can write another way
T = 15d + 0.25r + 2h
Answer: C. [tex]T=15d+\frac{r}{4}+2h[/tex]
Step-by-step explanation:
Let d = days, r = raffle tickets, and h = hours.
Given: A student earns in a day = $15
Then his earning in d days =$15d
Also, he earns for each riffle = $0.25
Then his earning in for r riffles =$0.25r
And , he earns for each hour he works at the game = $2
Then his earning for h hours = $2h
Then the function he can use to calculate his earnings is given by :_
[tex]T=15d+0.25r+2h\\\\\Rightarrow\ T=15d+\frac{1}{4}r+2h[/tex]
two consecutive odd negative integers have a product of 483, find the integers ...?
Answers
x^2+2x-83=0
From this we can see that a negative X is -23, which when +2 is added results in -21.
a cable installer charges $42.50 per hour plus a $45.00 service charge. your fathers firm hires him to hook up his companys internet service. find the total charges if it takes the cable installer 5 hours to complete the task? ...?
Answers
42.50*5+45 = 257.5
Answer: $257.50
Step-by-step explanation:
Total charges of 5 hours paid by father = Charges of cable installer for 5 hours + Service Charge
Charges of cable installer per hour = $42.50
Charges of cable installer for 5 hours = 5 × 42.50 = $212.50
Additional service charge by him = $45.00
So, total charges of 5 hours paid by father = $212.50 + $45.00 = $257.50
4x-6=10x-3
?? i am bad at math lol
Answers
4x-6=10x-3
minus 4x both sides
-6=6x-3
add 3 to both sides
-3=6x
divide both sides by 6
-1/2=x
take care.
Describe the kernel and range of (a) the orthogonal projection on the xz -plane (b) the orthogonal projection on the yz-plane (c) the orthogonal projection on the plane defined by the equation y=x ...?
Answers
(0,1,0) and (0,0,1)
while the Null space would be anything on the x axis.
You drive your car for 3 hours at an average speed at 30 km per hour. how far did you go?
Answers
What is 35/10 convert into a decimal?
Answers
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet?
Answers
yellow roses:roses
what is the value?
5x+3=4x ?? bit confused
Answers
x+3=0
minus 3 from both sides
x=-3