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azamat
4 years ago
11

at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how man

y boys are at the concert​
Mathematics
1 answer:
sergey [27]4 years ago
3 0

Answer:

100

Step-by-step explanation:

Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:

\frac{b}{g}=\frac{2}{7}

Also, there are 250 more girls than boys, so we can write:

g = 250 + b

Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:

\frac{b}{g}=\frac{2}{7}\\\frac{b}{250+b}=\frac{2}{7}\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=\frac{500}{5}=100

The number of boys = 100

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Write the quadratic equation in general form then choose the value of “b”.
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Write the quadratic equation in general form then choose the value of “b”.  

(2x-1)(x+5)=0

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4 years ago
Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and
Brut [27]

Answer:

Cost per night: 75

Equation: y = 75x + 50

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, y = mx + b, where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

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Substitute m = 75, and b = 50 into y = mx + b.

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6 0
3 years ago
At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e
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Answer:

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Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

A_0 = 1500 km^2

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So for instance, after 1 year, the area is

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8 0
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