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sp2606 [1]
3 years ago
5

A rectangular picture frame is made from one-inch-wide pieces of wood. The area of just the frame is 18 square inches, and one o

f the outer edges of the frame is 5 inches long. What is the sum of the lengths of the four interior edges of the frame?

Mathematics
2 answers:
rewona [7]3 years ago
7 0

The lengths of the top/bottom interior edges are $5-2=3$ inches (since there is 1 inch of frame to either side of the interior rectangular hole). Let the lengths of the left/right interior edges be $x$ inches. Then, the lengths of the left/right exterior edges are $x+2$ inches. The area of the frame is equal to the area of the frame rectangle minus the area of the hole. This is equal to $5\cdot(x+2)-3x=2x+10$. Since we are given that this area is 18 square inches, we have the equation $2x+10=18\Rightarrow x=4$. So the dimensions of the interior hole are $3\times4$. Thus, the sum of the four interior edges is $3+4+3+4=\boxed{14}$ inches.

Leni [432]3 years ago
6 0

Answer:

46

Step-by-step explanation:

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the US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years. By how muc
rewona [7]

Answer:

The population growth is 6.26 per square mile per year

Step-by-step explanation:

We are given

he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years

So,

Initial population =128.7

Final Population =191.3

Total time =10 years

now, we can find population grow per year

=\frac{final-initial}{T}

now, we can plug values

=\frac{191.3-128.7}{10}

=6.26

So,

The population growth is 6.26 per square mile per year

3 0
3 years ago
Read 2 more answers
Gretchen can buy 17.4 ounces of Brand A toothpaste for $5.22, or she can buy 26.6 ounces of Brand B toothpaste for $6.65. Which
konstantin123 [22]
Price of Brand A toothpaste for 17.4 ounces = <span>$5.22
</span>Price of Brand A toothpaste for 1 ounce = $5.22/17.4 = 0.3
Price of Brand B toothpaste for 26.6 ounces = $6.65
Price of Brand B toothpaste for 1 ounces = $6.65/26.6 = 0.25
So, if we see the price for per ounce of brand A and B, price of Brand B per ounce is less than brand A.
and if we find the difference between the prices of both = 0.3 - 0.25 = 0.05

Thus, the correct answer is "D", <span>Brand B is the better deal, because it costs $0.05 less per ounce than Brand A".</span>
3 0
3 years ago
Read 2 more answers
Solve for x<br> -3(x + 4) - 2 = -2(x - 5)<br> x= -4<br> x = -11/5<br> x = 24<br> x = -24
Gala2k [10]

Answer:

-24

Step-by-step explanation:

-3 (x + 4) - 2 = -2 (x - 5)

-3x - 12 - 2 = -2x + 10

-3x + 2x = 10 + 12 + 2

-x = 24

x = -24

5 0
3 years ago
Pls help me with this i rly do not understand this
gavmur [86]

Answer:

6 times the square root 2

Step-by-step explanation:

Hi there!

Since this is a 45-45-90 triangle, we know the sides are a, a, and a times the square root of two.

Since we can see the 6 is on of the sides that has the 90 degree corner, we know that 6 is our a.

Therefore, we know k is the hypotenuse and is 6 times the square root 2.

Hope this helped, have a great day! ^u^

4 0
3 years ago
Dave's age in 4 years is 18. Write an equation that represents Dave's age in 4 years.
julsineya [31]
This equation might be x + 4 =18

3 0
3 years ago
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