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posledela
3 years ago
6

There are 15 girls and 10 boys in a 5th grade class. What is the ratio of girls to boys? Write this as a simplified fraction :​

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Step-by-step explanation:

15 + 10 = 25 people

15 are girls and 10 are boys and that makes 15/10 ratio.

15/10 divided by 5 each is 15/5=3 and 10/5=2 which gets you a simplified fraction of

3/2

Hope this helped!

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Sasha is bisecting a segment. First, she places the compass on one endpoint, opens it to a width larger than half of the segment
ycow [4]

Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.

Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.

4 0
2 years ago
Evaluate h(5t^{2})given that h(t)=17-11t
Gala2k [10]
h(t)=17-11t
h(5t^{2})=17-11(5t^{2})
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5 0
4 years ago
Hannah buys two and a half pound of dried fruit for $1.15 how much is she paying for one pounds of dried fruit
Nadya [2.5K]

All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)

1.15 ÷ 2.5 = 0.46

Therefore each pound costs $0.46

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5 0
4 years ago
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition
kow [346]

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

  • y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

  • y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

8 0
3 years ago
A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to
11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2

The dog's running area is approximately 942 feet².

3 0
3 years ago
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