Can someone help me with this math homework please!

Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.

NeX [460]

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

5 0

3 years ago

Which statement is correct? 1. A horizontal line has no slope. 2. A vertical line has a slope of zero. 3. A line that rises from

arsen [322]

Answer:

A line that rises from left to right has a positive slope

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't

AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form $y=a(1+r)^x$ , where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

$3\%=\frac{3}{100}=0.03$

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

$y=160(1+0.03)^x$

$y=160(1.03)^x$

To find amount of money in Clare's account after 30 years, we need to substitute $x=30$ in our equation.

$y=160(1.03)^{30}$

Therefore, the expression $160(1.03)^{30}$ represents the amount of money that Clare would have after 30 years.

8 0

3 years ago

Write two decimals one repeating and one terminating with the values between 0 and 1

weqwewe [10]

A repeating decimal is one that essentially goes on forever. A terminating decimal is one that has an end, therefore a definite value.

The fraction 1/3 is a repeating decimal, because when you divide 1 by 3, you get .333333 (to infinity). To show that something is repeating, draw a bar (or line) above the number that is repeating, in this case, 3.

The fraction 1/4 is a terminating decimal. Like the one above, when you divide 1 by 4, you get a fraction. In this case, it is .25, which does not repeat.

The fractions are there just to show you how you could get to either, but your terminating decimal is .25, and your repeating decimal is .3 (but with a line over the 3 if possible).

3 0

3 years ago

Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width

Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

$\text{Area of rectangle} = length\times breadth$

$108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth$

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

$\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}$

$\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}$

$\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}$

Hence, remaining area = 70 square inches .

6 0

3 years ago