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Soloha48 [4]
3 years ago
13

There are 14 boys and 21 girls in seventh grade class what is the ratio of boys to girls in simplified form ??

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

The ratio of boys to girls would be \frac{14}{21} since you can divide both 14 and 21 by 7, the simplified form would be  \frac{2}{3}.

The answer is 2 to 3.

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The scale from a map to the actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5
galina1969 [7]

Answer 868 miles

Step by step

Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them =  3.5\times 248 \text{ miles}=868 \text{ miles}

Hence, the approximate distance between Chicago and Boston = 868 miles.

i.e.  1 cm on map = 620/2.5 miles =  248 miles

6 0
3 years ago
Plz help!!!!<br> With this question
Shtirlitz [24]

Answer:

GH = 15

Step-by-step explanation:

14. BC = 19

GH = 9x - 3

FE = 5x + 1

Given that GH is the midsegment of the trapezoid, therefore:

GH = (BC + FE)/2

Plug in the values

9x - 3 = (19 + 5x + 1)/2

9x - 3 = (20 + 5x)/2

Multiply both sides by 2

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 2

✔️GH = 9x - 3

Plug in the value of x

GH = 9(2) - 3 = 18 - 3

GH = 15

8 0
3 years ago
Position vs time for two runners<br><br> Runner a and runner b
Anna35 [415]

Answer:

i8765

Step-by-step explanation:

5 0
3 years ago
Write the equation of the conic section below.
tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

  • Vertex = (3, -1)
  • Directrix = y = -3

Therefore:

  • h = 3
  • k = -1
  • k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

7 0
2 years ago
Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completin
Neko [114]
D beacuse a hexangon is like the shape of the circle


3 0
3 years ago
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