A monument outside city hall has dimensions as shown below in the figure. If one gallon of paint can cover 213 ft^2, how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.

Answer: b = 9

Step-by-step explanation:

Set up proportions.

20 : 12

15 : b

Cross multiply the proportions.

20b : 180

Simplyfi the ratio.

20b/20

180/20

The answer is b = 9.

hope this helps :)

Answer:

Step-by-step explanation:

15    b

20  12

15 times 12 is 180

20 times b is 20b

20b=180

÷20  ÷20

b=9

9/12=15/20

3/4=3/4

Answer:

1\4 of the price

Step-by-step explanation:

200 -50 =150-50=100-50=50-50=0 you can do it 5 times so its reduced by 1\4

Answer:

25% off

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

0.003  

Step-by-step explanation:

Answer:

41.13

Step-by-step explanation:

The figure is basically 8+8+circumference of a circle with 8 diameter. The circumference is 2pi(4) which is 50.27, and you add 16 to that. This gives you the answer 41.13

Thanks to garden555 for pointing out my mistake.

Answer:

60m / 41.12 m

Step-by-step explanation:

side of square is 8m

hence, radius of the semicircle is 1/2 of 8

= 4m.

2semicircles = 1 circle.

perimeter of a circle = 2πr

Taking value of π as 22/7,

= 2 x 22/7 x 4

= 176/4

= 44m

OR

Taking value of π as 3.14,

= 2 x 3.14 x 4

= 25.12m

hence, perimeter of figure is,

44 + 8 + 8 = 60m

OR

25.12 + 8 + 8 = 41.12 m

Answer:

In terms of P, the price of the sweater after the discount is 0.72P.

Step-by-step explanation:

Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:

100*10%=10

100-10=90%

This means that the price paid would be 90% of P. Then, the statement says that the price was discounted by another 20%. So, you have to calculate 20% of the price and subtract that amount from the price:

90*20%=18

90-18=72%

According to this, this means that in terms of P, the price of the sweater after the discount is 0.72P.

Answer:

[tex] 48 {x}^{2} {y}^{5} [/tex]

Step-by-step explanation:

Given:

[tex] l = 8x^2 y\: \&\: b = 6y^4 [/tex]

Area of rectangle

[tex] = l \times b \\ \\ = 8 {x}^{2} y \times 6 {y}^{4} \\ \\ = 8 \times 6 \times {x}^{2} y \times {y}^{4} \\ \\ = 48 {x}^{2} {y}^{5} [/tex]

Answer:

(The multiply and the x are the same, so I’m just letting you know that the first x is the letter x and the second is the multiply sign.)

x x 3 + 4 (equation)

x = 6 (solution)

Step-by-step explanation:

6 x 3 + 4

22 - 4 = 18 (which takes out the four, which means what number times 3 would get 18)

6 x 3 = 18

6 x 3 + 4 = 22

Answer:

5/18 is not equivalent to 1/3.

Step-by-step explanation:

9/27, 2/6 and 15/45 are equivalent to 1/3.

Answer:

25

Step-by-step explanation:

an absaloute value means that every number inside of that would be a positive number.

Answer:

the answer is B) -9x2 -90x -221

Answer: The distance is 15 units.

Step-by-step explanation:

Let's define the bottom left corner of the left rectangle as the point (0, 0).

we know that the rectangles are of 10 by 14, then the point O will be exactly on the middle of these two quantities (because the long side is on the horizontal axis, the point O could be written as):

O (7, 5)

Point M is on the top of the rectangle, then we know that the y component will be equal to 14.

And the x component is on the middle of the rectangle (this side is the one that measures 10 units)

the middle is 5.

And we also need to add the 14 units of the other rectangle that is lying down, then the x-component of this rectangle is 14+ 5 = 19

The point M is (19, 14)

We want to find the distance between the points (7, 5) and (19, 14)

We know that the distance between points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

In this case, the distance between points O and M will be:

distance = √( (7 - 19)^2 + (5 - 14)^2) = 15

Distance between points O and M is 15 units.

Answer:

it is corrects

Step-by-step explanation:

Answer:

0.5c+2t

$23

Step-by-step explanation:

0.5c+ 2t

0.5(30) + 2 (4)

15+8

23

Answer: 317/305 or 1 12/305

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Answer:

A

Step-by-step explanation:

IT IS A

Answer:

D 35

Step-by-step explanation:

When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1

Answer:

xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD.........................................................D :D

Before we solve the equation let's take a look at it.

f(x) = -2x + 3

See how x appears in both f(x) and as the variable in the second half of the equation?

f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.

So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."

Catching on? We need to replace x with -1 to solve for f(-1).

So here we go:

f(x) = -2x + 3

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

Voilà! We have solved for f(-1). Hope this helped.

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

Answer: D

Step-by-step explanation: D shows the initial value as 2 and the rate of change as three which is what the problem says

Answer:

Choice D

Step-by-step explanation:

It would be D because it directly graphs what is being asked is shown in the graph. It is also d because I got it right on quizizz. It shows that the initial value is 2 and the rate of change is 3, so therefore the answer is D.

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

Answer:

A, Similar              

You're welcome

Answer:

100

Step-by-step explanation:

1 yard = 3 feet

6 yards = 18 feet

(18*2)+(32*2)

36+64

100

Answer:  The perimeter is a 100 feet.

Step-by-step explanation:

If it is 32 feet long and 6 yards wide then I am thinking that the shape will be a rectangle.

To find the shape of a rectangle, you can use the formula,  P = 2l+2w  were P is the perimeter, l is the length, and w is the width.  

But first since feet and yards are different measurements, and the question is asking for the perimeter in feet, then you will first have to convert 6 yards to feet.  

6 yards = 18 feet  

This means that the sides  will be 32 feet long and 18 feet wide.

Now using the formula, input 32 for L and 18 for W and solve for P the perimeter.

 P  = 2(32) + 2(18)

P = 64+ 36

P = 100  

Answer:

geometric sequence

ratio

2

Answer:

Step-by-step explanation:

Reflection over y-axis results in:

Point A is (3, 2)

It's reflection is:

Answer:

9 is answer . . . . . . . ........

Step-by-step explanation:

so each ticket is $8 so thats going to be 8x.There are 5 friends so you pay for 5 tickets they buy small bag of popcorn so let that have a variable of.p. then they spend a total of 62.50.

62.50=8(5)+p

62.50=40+p

-40. -40

22.50=p

so the 5 small bags of popcorn costs $22.50

Answer:

No solution

Step-by-step explanation:

1) 3(x+3y=6)

  3x+9y=72

2) 3x+9y=18

   3x+9y=72

3) 3x+9y=18

 -

   3x+9y=72

____________

       -54

lalalalalalalala im cute-