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Sonja [21]
3 years ago
5

How does a "for every" statement show a ratio comparison?

Mathematics
1 answer:
Alchen [17]3 years ago
8 0
Example: For every 3 boys, there are 4 girls.

Ratio: 3:4 also 3/4

How to use it?

Example question: If there are 3 boys for every 4 girls and there are 27 boys in the class, how many girls are there?

How to set up the ratio:

3 27
— = —
4 x


Solve it?

[Cross Multiply]

3x= 108

[Divide]

X= 36

How to check it?

Reduce 27/36 and see if it equals 3/4

OR

Plug both into the calculator and both should come out with the same decimal. In this case it is 0.75
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The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?
Setler [38]
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
7 0
2 years ago
Which of the following expressions represents "no more than 5"?
777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0
3 years ago
Which is bigger 7/8 or 3/4?
Kay [80]
7/8 because 3/4 = 6/8, and 7/8 is bigger than 6/8
8 0
2 years ago
Read 2 more answers
How do i write b + 3 = b^2 in verbal expression
igor_vitrenko [27]

Answer:

b plus 3 is equal to b squared

7 0
3 years ago
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea
erma4kov [3.2K]

Answer:

the volume of the sphere is

33.51 in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v =   64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

v= l*b*h

v=l^{3}

64= l^{3}

l= \sqrt[3]{64}

l= 4 in

also diameter d=length l

Diameter d=  4in

Radius r =  \frac{d}{2}= \frac{4}{2}= {2 in}

Height h=4in

we know that the volume of a sphere is given by

v= \frac{4}{3} \pi r^{3}

substituting into the formula we have

v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}

8 0
2 years ago
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