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3 years ago

5

The distance between Atlanta and Savannah,Georgia is 245 miles. The distance on a map is 3 1/2 inches. What is the scale of the

map?

1 answer:

nikdorinn [45]3 years ago

6 0

1 inch per 70 miles
......

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Which graph represents the solution set of the system of inequalities?

Novay_Z [31]

Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9
3(0) ≥ (0) - 9
3 ≥ - 9 yes
3x + y > - 3
3(0) + (0) > - 3
3 > - 3 yes
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5 yes
3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

4 0

3 years ago

If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Rus_ich [418]

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, $y\div x=3$

"The sum of y and x is 80"

This means, $x+y=80$

<h3>Step 2: Make use of the facts</h3>

If $y\div x=3$ , then $y = (3*x)$ .

We can plug this into the other equation by substitution:

$x + (3 * x)=80$

This simplifies to:

$4x = 80$

Which we can solve out and get:
$x=20$ .

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: " $y = (3*x)$ ".

And now we substitute the value of x, into this.

$y = (3 * (20))$

By solving this out, we get:
$y=60$

So, the value of y is 60.

3 0

2 years ago

9th out of 10 questions

Mazyrski [523]

Hello! When dividing fractions, you multiply by the reciprocal of the second fraction. So 2/3 divided by 1/2 would be 2/3 times 2.

As you can see, the first fraction would be the same. Therefore, a will be 4. 5 and 6 will swap, so b will be 6 and c will be 5.

Therefore, our answer is D) a=4, b=6, c=5

I hope this helps!

8 0

3 years ago

Read 2 more answers

Circle has a circumference of 59 cm using 3.14 as an approximation for π (pie)

soldi70 [24.7K]

I believe the radius of the circle would be about 18.79 (rounded).
Hope this helps ;}

6 0

3 years ago

Find the radius of a circle having area 616cm square.

OLEGan [10]

Answer:

$\boxed{\sf Radius \ of \ circle = 14 \ cm}$

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Step-by-step explanation:

$\sf \implies Area \ of \ circle = \pi r^{2} \\ \\ \sf \implies 616 = \frac{22}{7} \times {r}^{2} \\ \\ \sf \implies 616 \times \frac{7}{22} = {r}^{2} \\ \\ \sf \implies 28 \times \cancel{22} \times \frac{7} { \cancel{22}} = {r}^{2} \\ \\ \sf \implies 28 \times 7 = {r}^{2} \\ \\ \sf \implies 196 = {r}^{2} \\ \\ \sf \implies {r}^{2} = 196 \\ \\ \sf \implies r = \sqrt{196} \\ \\ \sf \implies r = \sqrt{ {14}^{2} } \\ \\ \sf \implies r = 14 \: cm$

4 0

3 years ago