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scZoUnD [109]
3 years ago
8

A wire that is 73 feet long needs to be divided into lengths using the ratio 3 to 13. Whats the longest length?

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

Answer: 59.3125 feet

Step-by-step explanation:

This is a question relating to ratio and proportion. Since the wire is 73 feet long and needs to be divided into lengths using the ratio 3:13, then the longest length will be:

= 13/(3+13) × 73 feet

= 13/16 × 73feet

= 59.3125 feet

Therefore, the longest length is 59.3125 feet.

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3 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

6 0
3 years ago
Which number is prime?<br> A. 4<br> B. 10<br> C. 22<br> D. 31
Ganezh [65]

Answer:

D. 31

31 is prime

7 0
3 years ago
Read 2 more answers
Heather can complete two problems in ten minutes, and when she started she had three problems done. joel can complete three prob
zzz [600]
 heather can do 2 problems in 10 minutes....60 minutes in an hr
2/10 = x / 60...2 problems to 10 min = x problems to 60 min
10x = 120
x = 120/10
x = 12....so she can do 12 problems in 1 hr

Joel can complete 3 problems in 15 minutes...
3/15 = x / 60
15x = 180
x = 180/15
x = 12....so he can do 12 problems in 1 hr

so 24 problems can be done in 1 hr

Heather started with 3 problems done and Joel started with 2 problems done....added = 5 problems already done

and it is asking between 30 and 50 hrs.....so there is no equal sign in ur problem

ur answer is : 30 < 24x + 5 < 50 <==




5 0
3 years ago
1 more than the product of a number and negative 8 ​
castortr0y [4]

Answer:

-8x+1

or

1+(-8x)

3 0
3 years ago
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