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frez [133]
3 years ago
11

At book fair, the ratio of adults to children is 7 : 3

Mathematics
1 answer:
joja [24]3 years ago
6 0

The percentage of the boys at the book fair is 6%

<h3>What is a percentage?</h3>

Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.

At a book fair, the ratio of adults to children are:

7 : 3

The total number of people at the book fair = 7 + 3 = 10

The percentage of adults are:

\mathbf{=\dfrac{7}{10}\times 100\%}

= 70% are adults

The percentage of children are:

 \mathbf{=\dfrac{3}{10}\times 100\%}

= 30% are children

However, if from the children, 4 are girls and 1 is a boy.

The total number of children at the fair  = 4 + 1 = 5

The percentage of girls are:

\mathbf{=\dfrac{4}{5} \times 30\%}

= 24%

The percentage of boys at the book fair is:

\mathbf{=\dfrac{1}{5} \times 30\%}

= 6%

Learn more about percentages here:

brainly.com/question/24304697

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stepladder [879]

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

3 0
3 years ago
after allowing 30% discount on the marked price of an article,there is a profit of 10% . if the cost price is 1500 find the mark
GenaCL600 [577]

Answer:

2357.14

Step-by-step explanation:

  x - .30x = 1500(1.10)

          .7x = 1650

            x = 2357.14

7 0
3 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2
Arada [10]

Given:

Scale factor s=\dfrac{1}{3}

Center of dilation = (4,2)

To find:

The coordinates of the points C' and A.

Solution:

We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

The scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using rule (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Hence, the coordinates of Point C' are C'(2,5).

Let us assume that point A is A(m,n).

Using rule (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

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3 years ago
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Mazyrski [523]

Answer:

4

Step-by-step explanation:

A.

subtract both slopes

B.

in word problems:

"rate of change" means slope

C.

1. horizontal line's slope is 0

2. number next to the x is the slope

   y = 4x + 1 : slope is 4

3. "How much more" is word problems means subtract

4 - 0 = 4

D.

horizontal and vertical lines' slopes are 0

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Jesses mom.gave him 45$ to buy snacks at school he spends 15 every two weeks
Black_prince [1.1K]

Answer:

ok?

whats the queston?

if its devide it is 3

Step-by-step explanation:

45=15x3

15/45=3

4 0
3 years ago
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