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Pachacha [2.7K]
3 years ago
11

if there are 20% of the boys and 30% of the girls in a high school like tennis, and 60% of the boys and 90% of the girls like ma

th, If 500 students like tennis and 1500 like math, how many boys and girls are in the school
Mathematics
1 answer:
Ghella [55]3 years ago
8 0
0.2b + 0.3g = 500
0.6b + 0.9g = 1500

Then use the system of equation to solve your question.
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A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price
timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If  we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

\frac{75}{100} =\frac{34.50}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

75y=100(34.50)\\75y=3450

I now solve for y by dividing by 75.

\frac{75y}{75} =\frac{3450}{75} \\y= 46....

The original price was $46.


5 0
3 years ago
Write the expression in terms of sin x and cos x only. sin(2x)+cos(3x)
BartSMP [9]
Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))
5 0
3 years ago
Read 2 more answers
How do we find the area of a strange shape? Has six end points so it can become 4 triangles.
Sati [7]
In order to find the area for a strange shape, you divide it up into simpler figures. In this case, you already know that it can be divided into 4 triangles, so find the area of each triangle and add them up. Hope this helped!
6 0
3 years ago
Read 2 more answers
Laurie is moving a dresser with a mass of 250 kg. She does 126 J of work with a force of 14 N. How far does she move the dresser
grandymaker [24]
The main formula is E = sum Work, 
or the work is W= FxAB=E
so AB= E/F = 126/ 14 = 9m

7 0
3 years ago
The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find the distance o
olganol [36]

The proportion can be used to find the distance on the map (x) that represents 50 miles will be x/50 = 5 / 200. Then the correct option is A.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The scale on a map shows that 200 miles is represented by 5 inches on a map.

Then the proportion can be used to find the distance on the map (x) that represents 50 miles will be

x/50 = 5 / 200

Then  the correct option is A.

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

8 0
2 years ago
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