If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

4(T+G+M)=600
8(0+G+M)=600
6T+G+0)=600

Answers

Answer 1

We call:

T = Tom's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
G = George's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
M = Mario's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]

As the first statement says that they can work together, then:

T + G + M = Painting rate working together, that is the surface area they paint per hour.

Since the problem says that they last four hours painting a [tex] 600ft^{2} [/tex] room, then we need to multiply the amount of hours times the painting rate that is equal the surface area of the room, so:

4(T + G + M) = 600

Applying a similar reasoning, the George and Mario's painting rate is:

0 + G + M
Note that 0 implies that Tom didn't work in this case.

As they last eight hours painting the room, then:

8(0 + G + M) = 600

The same reasoning is applied to Tom and George working together. In this case 0 implies that Mario didn't work, so:

6(T + G + 0) = 600

We have a system of linear equations in three variables T, G, M:

4(T+G+M)=600
8(0+G+M)=600
6(T+G+0)=600

Solving:

(1) T + G + M = 150
(2) G + M = 75
(3) T + G = 100

Substitute (3) in (1):
100 + M = 150 ∴ M = 50

Replace M in (2):
G + 50 = 75 ∴ G = 25

Substitute G in (3)
T + 25 = 100 ∴ T = 75

Then, the painting rates are:
Tom = 75 [tex]( \frac{ ft^{2} }{h} )[/tex]
George = 25 [tex]( \frac{ ft^{2} }{h} )[/tex]
Mario = 50 [tex]( \frac{ ft^{2} }{h} )[/tex]

Solving for Time to determine how long it would take Tom to paint the room alone:

Painted Area = Painting Rate×Time, so:

[tex]Time Tom = \frac{Painted Area}{Painting Rate (T)} [/tex]
[tex]Time Tom = \frac{600}{75} = 8 hours [/tex]

Answer 2

Answer:

A. 8 hours

Step-by-step explanation:

Related Questions

(evaluating expressions) what is the value of the expression 2½x + 3⅔y if x = 4 and y = 3? * 21

Answers

2 1/2 (4) + 3 2/3 (3)
10 + 11 = 21

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:

An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

Which of the following is the perimeter of the inner edge of the frame?

(π = 3.14)

146.78 inches

208.78 inches

293.56 inches

347.56 inches

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that:

- An oval is formed by a rectangle with semicircles at each end.
- The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

2. Then, the perimeter is:

P=((3.14)(diameter)/2)(2)+(Lenght of the rectangle)(2)

P=((3.14)(27 inches)/2)(2)+(62 inches)(2)
P=208.78 in

Answer: P=208.78 in

i took the test on flvs its right

2x-14y= -16 solve for x ..

Answers

The first step for solving this expression is to move the variable to the right side of the equation and then change its sign.
2x = -16 + 14y
Now divide both sides of the equation by 2.
x = -8 + 7y
Since we cannot simplify this equation any further,, the correct answer will be that x = -8 + 7y.
Let me know if you have any further questions.
:)

2x - 14y = -16

Move all the terms without the variable on the other side of the equation. Add 14y to both sides of the equation.

2x = -16 + 14y

Divide both sides by 2.

x = -8 + 7y is your answer.

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. one flower is chosen at random and given to a woman. another flower is then chosen at random and given to a different woman. what is the probability that both flowers are pink roses?

Answers

0.267 should be right

Answer:

Step-by-step explanation:

The probability that the first flower is a pink rose is 4 /15.

The probability that the second flower is a pink rose is 3 /14 .

Therefore, the probability that both flowers are pink roses is

4 /15 · 3 /14 = 0.057

Michelle will be 72 years old in eighteen years. How old is Michelle now?

Answers

Michelle would be 54 years old.

72-18=54

She is 54 years old, since you would subtract 18 from 72.

WILL MARK BRAINLIEST! PLEASE HELP
In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
A. 64
B. 52
C. 41
D. 60

In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
A. 28.5
B. 15.6
C. 14.1
D.31.2

thank you.

Answers

Part 1) In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?

we know that
the law of cosines establishes that
c²=a²+b²-2*a*b*cos C

in this problem

c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9

applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°

the answer Part 1) is the option
D. 60

Part 2) In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?

we know that
∠C=180-(62+43)-----> ∠C=75°

Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in

the answer Part 2) is
D.31.2

Which of the following are exterior angles ? Check all that Apply NEED ASAP

Answers

Answer:

∠2 , ∠3 , ∠5 ,∠6 are exterior angles

Step-by-step explanation:

Given : Figure.

To find : Which of the following are exterior angles.

Solution : We have given a figure with angle 1 ,2, 3,4,5,6.

Exterior angle : An angle which lies outside the closed figure.

We can see ∠1 and ∠4 area lies in closed figure.

But all other angle ∠2 , ∠3 , ∠5 ,∠6 are lies outside so, these are the exterior angles.

Therefore, ∠2 , ∠3 , ∠5 ,∠6 are exterior angles

Answer:

5. 6. and 2

Step-by-step explanation:

All exterior ANGLES that are still connected to the triangle. 3 Is not an angle on Triangle 1. It is its own triangle, as well as a point.

Reduce the fraction to lowest terms. 38x^2yz^2/ -19 yz^2z^3

Answers

Hope this is helpful.

I WILL MARK BRAINLIEST

Answers

Hello!

You can use the Pythagorean Theorem

[tex]a^{2} + b^{2} = c^{2} [/tex]

c is the hypotenuse which is the side across the right angle
a and b are the other sides

Put in the values you know

[tex] a^{2} + 5^{2} = 12^{2} [/tex]

Square the numbers

[tex]a^{2} + 25 = 144[/tex]

Subtract 25 from both sides

[tex] a^{2} = 119[/tex]

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

5.0/5

prestonshelton

Expert

1.1K answers

231K people helped

Hello!

You can use the Pythagorean Theorem

c is the hypotenuse which is the side across the right angle

a and b are the other sides

Put in the values you know

Square the numbers

Subtract 25 from both sides

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

Using the rate of $8 for every 2 pounds of rice, how much would a 1/2 pound of rice cost

Answers

2/½=4
8/4=2
It would be 2$

2 pound = $8

1 pound = $8 ÷ 2 = $4

1/2 pound = $4 ÷ 2 = $2

Answer: $2

ms blankenship had 80 dollars to purchase school supplies for her class.she bought 32 glue sticks and 32 boxes of crayons.each glue stick cost 1.40 and each box of crayons vost 0.59 .how much money did ms blankenship have left after these purchases

Answers

Together 32 glue sticks cost $44.80.
Together 32 box of crayons cost $ 18.88.

$44.80 + $18.88 = $63.68
$80 - $63.68 = $16.32

So Ms. Blankenship had $16.32 left after buying school supplies.

Hope this Helps!!

What formula would I use to find A?

Answers

For this case by cosine theorem, we can use the following formula to find the value of a:
a ^ 2 = (6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70)
Clearing a we have:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))
Answer:
A formula to find A is:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))

Simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a)

Answers

Answer:

31 - 61a

Step-by-step explanation:

We distribute, being especially careful with the negative signs:

1 + 2a - 3(4 + 5a) + 6(7 - 8a)

1 + 2a - 3 * 4 - 3 * 5a + 6 * 7 - 6 * 8a

1 + 2a - 12 - 15a + 42 - 48a

31 - 61a

The required simplified expression of the given expression is 31 - 61a.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As mentioned in the quesiton, to simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 12 - 15a + 42 - 48a

Adding alike terms,
⇒ 31 - 61a

Thus, the required simplified expression of the given expression is 31 - 61a.

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A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.1%, 3.2%). what is the point estimator of the mean percentage of reservations that are canceled on the day of the flight?

Answers

Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105

If p is the point estimator;

Then,
Minimum range = p - Error
Maximum range = p + Error

Solving one of the two expressions,
0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Answer:

Read more on Brainly.com - https://brainly.com/question/9975138#read more Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105If p is the point estimator; Then, Minimum range = p - Error Maximum range = p + Error Solving one of the two expressions,0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Step-by-step explanation:

If there is a ratio of 3 to 2, than how many are there in the first number if there is a total of 80?

Answers

Answer:

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5, so each stands for 80/5 = 16 items. Then 3 ratio units stand for 3×16 = 48 items.

3 : 2 = 48 : 32

The first number is 48.

On a recent trip, sarah's car traveled 20 mph faster on the first 110 miles than it did on the remaining 80 miles. the total time for the trip was 4 hr. find the speed of sarah's car on the first part of the trip.

Answers

Let x mph be the speed for the 110 miles trip. Then for 80 miles,
Speed = (x-20) mph

Time, t = Distance/Speed
On 110 miles, t1 = 110/x hrs
On 80 miles, t2 = 80/(x-20) hrs

Total time = 4 hrs = t1+t2 = 110/x + 80/(x-20)

Solving for x;
4 = [110(x-20) + 80(x)]/x(x-20)
4(x)(x-20) = 110x -2200 + 80x
4x^2 - 80x = 110x - 2200 + 80x
4x^2 -80x -110x - 80x +2200 = 0
4x^2 -270x +2200 = 0
Solving the quadratic equation;
x = [-(-270)+/- Sqrt ((-270)^2 -4(4)(2200)]/2*4 = 33.75+/- 24.27 = 9.48 mph or 58.02 mph

Ignore the value smaller than 20 as this would yield a negative value of second speed which is not practical.

Therefore, speed in the first 110 miles is 58.02 mph

what is 4.6 repeating as a fraction???
please help!! :'(

Answers

Your answer would be 4 2/3.

Let

x=4.66¯6

Then 10x=46.66¯6

So 10x−x=46.66¯6
4.66¯6.−−−−−−−− subtract
9x=42

Divide both sides by 9

x=429=423

The angle of elevation from point A to the top of a cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
A.
60.50 ft.
B.
62.50 ft.
C.
63.50 ft.
D.
61.50 ft.

Answers

tan 38 = h/80
h = 80 tan 38 = 62.50 ft

Its B

The volume of a right rectangular prism is 573.3 cm³. The length of the right rectangular prism is 7.35 cm and the height is 16.25 cm. What is the width of the right rectangular prism? Enter your answer in the box.

Answers

The width of the right rectangular prism is 4.8. You multiply 7.35 by 16.25 and then you divide 573.3 by that answer. So, 573.3 ÷ 119.4375 = 4.8. Hope this helped

Answer:

4.8

Step-by-step explanation:

please please please someone help me no one on this site will help me. i so confused. please help.

PLEASE SOMEONE HELP ME!!!!! ILL GIVE BRAINLIEST
1. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.04x2 + 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A. 208.02 m
B. 416.30 m
C. 0.52 m
D. 208.19 m

2. A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum height.
A. Reaches a maximum height of 11.6 feet after 5.75 seconded.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.

3. A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
A. Reaches a maximum height of 22 feet after 1.00 second.
B. Reaches a maximum height of 22 feet after 2.00 seconds.
C. Reaches a maximum height of 44 feet after 2.17 seconds.
D. Reaches a maximum height of 11 feet after 2.17 seconds.

Answers

Problem One
The rocket will hit ground level when y = 0. The plan is is to set y =0 and solve the quadratic. Be careful how you go about to this. It is an odd way to represent this kind of problem. The question does say that y defines how far off the ground the rocket is at the beginning. Therefore the height of the building does not matter (or shouldn't). All that matters is that y is ground level when y = 0.

a = - 0.04
b = 8.3
c = 4.3

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]
[tex]\text{x = }\dfrac{ -8.3 \pm \sqrt{8.3^{2} - 4*(-0.04)*(4.3) } }{2(-0.04)}[/tex]

From here you should be able to calculate the answer. One of them is -0.52 which is not the one you use. Minus heights do not matter in these problems yet. The other root is your answer.

Problem Two

Problem two is the usual way to express what happens to a projectile in the air. It again is going to be solved by the quadratic equation.

There are two ways to do this problem. If you know physics, you can solve it using the projectile formulas. If you don't , then you can use the trick in the previous problem. You can calculate how long it takes to hit the ground (h will then be zero).

This problem is rather nasty for someone who has not taken physics. There is another trick. You have to divide the time you get from the previous step by 2. When you solve the quadratic for h = 0, you get 11.6 seconds. But that is the time it takes to hit the ground. Half time is when the boulder will be at it's highest point. t = 11.6 / 2 = 5.8 (which your answers record as 5.75).

h = 0

a= -16

b = 184

c = 20

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]

[tex]\text{x = }\dfrac{ -184 \pm \sqrt{184^{2} - 4*(-16)*(20) } }{2*(-16)} [/tex]

The answer from this equation is t = 11.6

The time you want is t = 5.75. You can calculate the maximum height by putting 5.75 in for t.

Problem 3

Problem 3 is done exactly the same way as problem two. You just have different numbers. When h = 0 the time taken to reach zero = 2.17 seconds. Therefore the time you want to put into the original equation for the maximum height is 1/2 of 2.17 seconds. From there you can find the maximum height.

Note: there is a lot of math in here. I have gotten you past the physics. I have also alluded to the answers. I think you should be able to carry out the rest.

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

Answers

i would say about $10 about 1/6th the time

Answer:

$30

Step-by-step explanation:

To find the expected value, first we find the outcomes for the sample space.

Rolling a 6-sided die, we have

1, 2, 3, 4, 5, 6

There are 2 values that are whole number multiples of 3: 3 and 6.

There is a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 6.

There is a 1/6 chance of rolling a 1, 1/6 chance of rolling a 2, 1/6 chance of rolling a 4, and 1/6 chance of rolling a 5.

Next we multiply the value won or lost by each probability.

If the player rolls a 3, they win 3(20) = 60. Multiplying it by its probability, we have

1/6(60) = 60/6 = 10

If the player rolls a 6, they win 6(20) = 120. Multiplying it by its probability, we have

1/6(120) = 120/6 = 20.

If the player rolls a 1, 2, 4 or 5, they win nothing. 0 times all of these will be 0.

Lastly, we add together these products:

10+20+0+0+0+0 = 30

How do I do this? Please help

Answers

with intersecting chord lengths multiplying the 2 given lengths of one chord needs to equal the multiplication of the 2 lengths of the 2nd chord

so on chord FH you have 3.5 and 4.8
multiply those: 3.5 x 4.8 = 16.8

so now chord GI needs to equal 16.8
to find Y divide 16.8 by 2.4

y = 16.8 / 2.4 = 7

y = 7

What is the area of a circle with a radius of 13 millimeters?
(Use 3.14 for Pi.)

Answers

Final answer:

The area of a circle with a radius of 13 millimeters is calculated using the formula πr², which equals 530.66 mm².

Explanation:

The area of a circle is calculated using the formula πr², where 'r' represents the radius of the circle and 'π' (Pi) is a mathematical constant approximately equal to 3.14. When you have a circle with a radius of 13 millimeters, you would substitute 13 into the formula in place of 'r'.

So, the calculation for this circle's area becomes π*(13)² = 3.14 * 169. When you calculate this, you get 530.66 mm². Therefore, the area of a circle with a radius of 13 millimeters is 530.66 mm².

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Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per realm of white paper and $3.75 per realm of blue paper. If the purchase order is for $36.00 and she ordered 10 realms of paper, how many realms of white paper will she receive

Answers

You have:

x: the number of reams of white paper purchased
y:the number of reams of blue paper purchased

Then, you have the following system of equations:

x+y=10
3.50x+3.75y=36

When you solve the system shown above, you obtain:

x=6
y=4

The answer is: 6 reams of white paper

Let a = reams of white pape b = reams of blue paper

1>>> a+b=10
2>>> 3.50a+3.75b=36

a=6
b=4
There will be 6 realms of white paper that Maria will receive

What is the length of AB?

Answers

The radius of the circle is given to be r = 14.5

Let the center be O. So OB is the radius = 14.5

We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.

So, we can write:

[tex](14.5)^{2}=10^{2}+OA^{2} \\ \\ OA^{2}=110.25 \\ \\ OA=10.5 [/tex]

Thus, the measure of OA = 10.5

OB = OA + AB

14.5 = 10.5 + AB
⇒
AB = 4

r = 14.5

form a right triangle with the 10 as 1st side and r as the hypotenuse.
get the length of the other side using pythagorean.

c = sqrt(14.5^2 - 10^2) = 10.5

The length from the center to point A = c = 10.5
AB = r - c = 14.5 - 10.5 = 4

length AB = 4

What is the surface area of this square pyramid?

Round your answer to the nearest tenth.

Answers

The question is to find the surface area of the square pyramid:

This pyramid encloses a volume V, so it has five surfaces, namely:

*One square base.
*four triangular surfaces.

1. Surface area of the square base:

All four sides are equal, so:

As = LxL = (8.4yd)(8.4yd) = 70.56[tex]yd^2[/tex]

2. Area of triangular surfaces:

Given that the angle β=60°, we have four equilateral triangles which have three equal sides each, therefore:

At = [tex] 4(\frac{base.height}{2}) [/tex] = [tex]2L.Ap[/tex]

Now we need to calculate the apothem Ap.

Using trigonometry, we can calculate Ap using the sine function:

sinβ = [tex] \frac{opposite}{hypotenuse} [/tex] = [tex] \frac{Ap}{a} [/tex]

Given that the triangles are equilateral, then a = L

∴ Ap = (a)(sinβ) = 8.4sin(60°) = (8.4)([tex] \frac{ \sqrt{3} }{2} [/tex]) = 7.275yd

So:

[tex]At = 2(8.4)(7.275) = 122.22 yd^{2}[/tex]

Therefore, the surface area of the pyramid is:

A = As + At = 70.56 + 122.22 = 192.78 [tex] yd^{2} [/tex]

The answer is 192.8 yd²

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sections than red sections. how can Miguel color the sections of his grid to follow all the rules.

Answers

color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue

A line passes through (-7, -5) and (-5, 4). a. Write an equation gor the line in point-slope form. b. Rewrite the equation in standard form using integers.
A. Y-5=9/2(x+7);-9x+2u=-53
B. Y+5=9/2(x-7);-9x+2y=53
C. Y+5=9/2(x+7);-9x+2y=53
D. Y+7=9/2(x+5);-9x+2y=31

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -7 &,& -5~) % (c,d) &&(~ -5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-5)}{-5-(-7)}\implies \cfrac{4+5}{-5+7}\implies \cfrac{9}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)] \\\\\\ \boxed{y+5=\cfrac{9}{2}(x+7)}\implies y+5=\cfrac{9}{2}x+\cfrac{63}{2}\impliedby \begin{array}{llll} \textit{and now we multiply}\\ \textit{both sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2y+10=9x+63\implies \boxed{\stackrel{\textit{standard form}}{-9x+2y=53}}[/tex]

just a quick note, multiplying both sides by the LCD, whatever it may be, simply gets rid of the denominators.

A rectangle has a length that is 3 times the width. Use the formula P = 2l +2w to determine the length if the perimeter is 32 and the width is 4 a. 12 c. 32 b. 8 d. 4

Answers

Let the width be 4
Let the lenght be 3x because it is 3 times the width
P = 2L + 2W
32= 2(3X)+2(4) Combine like terms
32 = 6x+ 8 solve for x
24=6x divide
x= 4
Answer: D

A total of 589 tickets were sold for a play. They were either adult tickets or student tickets. There are 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?

HELLLPP ASAPPP

Answers

Adult tickets: 325
Student Tickets: 264

You can get this by setting adult tickets equal to x and student tickets equal to x - 61. Then you can set equal to 589 and solve for x.

Other Questions

What is the correct evaluation of 15-x, when x is equal to -5? What is budgeting time for a presentation Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points The cost of parking in a garage, in dollars, can be modeled by a step function whose graph is shown. How much does it cost to park for 3 hours and 45 minutes?$3$4$6$10 What was the point of slave codes? A. Masters wanted to systematically free slaves when they could no longer work. B. Masters wanted laws that would protect slaves from cruelty. C. Masters wanted to encourage their slaves to rebel against other masters. D. Masters wanted laws that would reinforce their power over slaves. Which of these is true about a magnetic field? It has the same magnitude at every point. It points in the same direction as it would make a compass point. It has a magnitude at each point but no specific direction. It has the same direction at every point. What design flaw on this ballot could potentially cause confusion for voters? the ballot appears fine as it is, without any potential for confusion. the alignment of the yes/no arrows is confusing in some portions. it is not clear who is running for congressional or state offices. it is not clear where and how the ballot should be marked? Two friends bring hamburger meat to your cookout. One brings 2.7 pounds, and the other brings 3.54 pounds. How much hamburger meat do they bring? Why did many of the delegates at the constitutional convention oppose? Explain how judical review empowers the supreme court within the system Factor 1/2 out of 1/2z+9 The dominant idea of health care in the united states is doctors in white coats, hospitals, and advanced technology. what have medical anthropologists found to be the case in regard to this concept in the rest of the world? Acetyl-coa and succinyl-coa are both high-energy thioesters, but their chemical energy is put to different uses. explain how the chemical energy is used in the two cases. Make up an equation of the form y = kx +b, the graph of which passes through the following points: C (19, 31) and D (1, 9) Karl and his dad are building a playhouse for karl's younger sister. the floor of the playhouse will be a rectangle that is 6 by 8 1/2 feet. how much carpeting do karl and his dad need to cover the floor. Select an interesting Spanish-speaking country and plan a tour. Answer the following questions in Spanish: Why would you like to visit that country? What would you like to do there? What do you know about the place and its tourist attractions? Do you know anyone who has been there? What opinion does he or she have of that country?Does not have to be long just enough it get by. Why should friar laurence be blamed for the death of juliet and ro,eo? The length of a rectangle is four times its width. if the width is 15, what is the area? The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width what FDR programs in photographer Arthur Rothstein to document Portland's Hoovervilles