Look at the attached questions please :)

The perimeter of the rectangle below is 130 units. Find the length of side VY.

Shkiper50 [21]

Answer:

VY = 28 units

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2 ( length + breadth )

given P = 130 , then

2(5y + 2 + 4y) = 130 ( divide both sides by 2 )

9y + 2 = 65 ( subtract 2 from both sides )

9y = 63 ( divide both sides by 9 )

y = 7

Then

VY = 4y = 4 × 7 = 28

7 0

1 year ago

I need help with coming up with equation

Natali5045456 [20]

Let's call a child's ticket $c$ and an adult's ticket $a$ . From this, we can say:

$c + a = 116$ ,

since 116 tickets are sold in total.

Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

$\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750$ .

Given these values, we can say:

$17000a + 12750c = 1653250$ ,

since each adult ticket $a$ costs 17,000 and each child's ticket $c$ costs 12,750, and these costs sum to 1,653,250.

Now, we have two equations:

$17000a + 12750c = 1653250$

$c + a = 116$

Let's solve:

$17000a + 12750c = 1653250$

$a = 116 - c$

Find $a$ on its own, which will allow us to substitute it into the first equation

$17000(116 - c) + 12750a = 1653250$

Substitute in $116 - c$ for $a$

$1972000 - 17000c + 12750c = 1653250$

Apply the Distributive Property

$1972000 - 4250c = 1653250$

Combine like terms

$4250c = 318750$

Subtract 1972000 from both sides of the equation and multiply both sides by -1

$c = 75$

We have now found that 75 child's tickets were sold. Thus,

$75 + a = 116 \Rightarrow a = 116 - 75 = 41$ ,

41 adult tickets were sold as well.

In sum, 41 adult tickets were sold along with 75 child tickets.

6 0

3 years ago

Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?

Harrizon [31]

This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
$12 \frac{1}{3} = \frac{36}{3} + \frac{1}{3} = \frac{37}{3} 
$
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
$\frac{37}{3} * \frac{4}{3} = \frac{148}{9} = 16 \frac{4}{9} 
$
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.

8 0

3 years ago

Read 2 more answers

3 x 104 + 2.5 x 105 =<br> A. 0.5 x 105<br> B. 2.8 x 105<br> C. 3.25 x 105<br> D. 5.5 x 109

WITCHER [35]

Answer:

574.5 A) 52.5 B) 294 C) 341.25 D) 599.5

Step-by-step explanation:

3*104+2.5*105=312+262.5=574.5

A) 0.5*105=52.5

B) 2.8*105=294

C) 3.25*105=341.25

D) 5.5*109=599.5

6 0

3 years ago

A rectangular lawn is 24 feet wide by 32 feet long. A sidewalk will be built along the inside edges of all four sides. The remai

levacccp [35]

So the original lawn has an area
24 × 32 = 768 the new lawn will have area 425
this means the area of the sidewalk will be 768-425=343
now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of
$(32 - 2x)(24 - 2x) = 425 \\ 768 - 64x - 48x + 4 {x}^{2} = 425 \\ 4 {x}^{2} - 112x + 343 = 0$
use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture

5 0

3 years ago