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2 years ago

The ratio of boys to girls on a swimming team is 4 to 3. The team has 35 members how many are girls

Mathematics

2 answers:

diamong [38]2 years ago

5 0

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one being Comprehension and another being Solving. I'll start off with Comprehension.

Comprehension

We can see that based of the problem, for every batch of 7 kids, there are 4 boys and 3 girls. That means that we can split the total, which is 35, into groups of 7 and seeing how many girls and boys there are.

Now that we know what we need to figure out and what to do, we can begin solving.

Solving

So, for every group of 7 kids there are 4 boys and 3 girls. We can divide 35 by 7 to find how many of these identical groups there are.

$35 \div 7=5$

We know that there are 5 such groups of 4 boys and 3 girls each. Therefore, we can multiply 4 and 3 by 5 as there are 5 such groups to find our total.

$4*5=20\\$

We know there are 20 boys.

$3*5=15$

We know there are 15 girls.

We can check this by seeing if this adds up,

$15+20=35?\\35=35$

Therefore, our answer is there are 15 girls and 20 boys.

rewona [7]2 years ago

5 0

Answer:

15 Explanation Based on the given conditions, formulate: 35 *3/(4+3) Calculate the product or quotient : 105/(4 + 3); 105/7 Calculate the sum or difference: Cross out the common factor: 15 get the result : 15

Answer: 15

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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

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$4b=-8$

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$(-\frac{3}{2},2)$

8 0

3 years ago

El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de

Flauer [41]

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

MN || BC, and MN = (1/2)BC,
ML || AC, and ML = (1/2)AC, and
NL || AB, and NL = (1/2)AB.

Assuming AB = BC = AC = x units, we get:

MN = (1/2)BC = x/2,
ML = (1/2)AC = x/2, and
NL = (1/2)AB = x/2.

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

Learn more about the mid-point theorem of triangle at

brainly.com/question/9635025

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

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2 years ago

Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of $500 for hotel and

-BARSIC- [3]

First add 150 + 60 = 210

Second divide 500 divided by 210 = 2.3

Jennifer can stay up to 2 nights.

3 0

3 years ago

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Tema [17]

Answer:

To get the function g, shift f by 1 unit.

Step-by-step explanation:

Given

$\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}$

Required

How do f(x) translates to g(x)

In terms of f(x), g(x) can be represented as:

$g(x) = f(x) + k$

Where

$f(x)= |x|$

and

$k = 1$

This implies that f(x) is vertically shifted 1 unit up to get g(x)

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2 years ago

I need help on this question

sasho [114]

Answer:

The shape is a kite and x=26

Step-by-step explanation:

The shape is a kite because the two adjacent sides at the right match and the two sides on the left match

To find x:

125+125=250

360-250=110

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Divide both sides by 5: 5x/5=130/5

x=26

7 0

3 years ago

The ratio of boys to girls on a swimming team is 4 to 3. The team has 35 members how many are girls￼

The ratio of boys to girls on a swimming team is 4 to 3. The team has 35 members how many are girls