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-BARSIC- [3]
3 years ago
13

The ratio of boys to girls at the beach cleanup was 7:8 if there were 42boys how many girls were there

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Let x be the number of girls at the beach. The ratio of boys to girls at the beach cleanup was 7 : 8. If there were 42 boys and x girls, you can write a proportion:

\dfrac{42}{x}=\dfrac{7}{8}.

Use the main property of proportion:

42\cdot 8=7\cdot x,\\ \\x=\dfrac{42\cdot 8}{7},\\ \\x=6\cdot 8=48.

Answer: 48 girls

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What is the y-intercept of the graph of the equation 6x-5y=-15
guapka [62]

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y .....(1)

The general equation of slope-intercept form is:

y = mx +c  ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

7 0
3 years ago
What is the area of the given sector
Romashka-Z-Leto [24]
Assuming the shape is a piece of a circle, you can determine the ratio of the shape to a full circle. A full circle will have 360 degree but this shape is only 40 degree. Then the ratio would be: 40/360= 1/9 full circle.

Then, using the circle area formula, the area of the 1/9 circle would be: 
full circle area= pi * r^2
full circle area= 22/7 * 6^2
full circle area= 792/7
1/9 full circle area= 792/7*9= 88/7 = 12.57
3 0
3 years ago
Which of the following are vertical asymptotes of the function y= 3cot(2x)-4
alexandr1967 [171]
The vertical asymptotes for y = 3cot(2x)-4 occur at 0,π/2, and every is x = πn/2, where n is an integer. 
8 0
3 years ago
What is the area of a garden that measures 4mx4mx6mx4mx10mx8m
topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

  • One square
  • Two rectangles

Recall that the area of a square is given by:

A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square

On the other hand, the area of a rectangle is given by:

A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle

Therefore:

FOR THE SQUARE:

L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}

FOR THE RECTANGLE 1:

L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}

FOR THE RECTANGLE 2:

L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}

Finally, the area of a garden is the sum of the three areas:

A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0
3 years ago
What times what is 14
erastovalidia [21]
1 x14=14  * what times one is one*
2 x7=14 
4 0
3 years ago
Read 2 more answers
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