MATHEMATICS HIGH SCHOOL

The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many
bananas are there?

Answers

Answer 1
Answer:

We know that the ratio of apples to bananas is 2 to 3, which can also be written as 2/3.

Let's use a proportion to solve for the number of bananas:

2/3 = 12/x

Here, x represents the number of bananas in the bowl.

To solve for x, we can cross-multiply:

2x = 3 * 12

2x = 36

x = 18

Therefore, there are 18 bananas in the bowl.
Answer 2
Answer:

Answer:

18 bananas

Step-by-step explanation:

for every 2 apples, there are 3 bananas.

So, if there are 12 apples then the original ratio of number of apples is being multiplied by 6

To prove this, 2 is the original ratio of apples and when 2 is multiplied by 6, you get 12 apples

To ensure the ratio of apples to bananas is the same, you multiply the original ratio of bananas by 3 as well. This leaves us with 18 bananas for every 12 apples (3*6 = 18)

To check if you are correct, you divide both the number of apples and the number of bananas by 6 and you get the original ratio, 2 to 3.

The ratio is essentially the same throughout except when you increase it by a constant ratio, it is no longer simplified but it is the same.

I tried explaining this the best I could and I really hope this made sense and helped!

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Miller School has 2 boys for every 3 girls in the fifth grade. There are 120 students in the fifth grade. How many girls are there? How many boys are there?

Answers

b-boys\ng-girls\n\n(b)/(g)=(2)/(3)\to b=(2)/(3)g\n\nb+g=120\to(2)/(3)g+g=120\n\n(2)/(3)g+(3)/(3)g=120\n\n(5)/(3)g=120\ \ \ \ \ /\cdot(3)/(5)\n\ng=72\n\nb=(2)/(3)\cdot72=2\cdot24=48\n\nAnswer:48\ boys\ and\ 72\ girls.

A pool has 29,000,000 mL how many liters of water can the pool hold

Answers

1000mL=1L so 29,000,000mL=29,000L
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Order the following numbers from least to greatest.
Put the least value on the left.

Answers

Answer:

-2, -5/2, 1.7

Step-by-step explanation:

since in negative larger numbers are smaller, a negative fraction is larger than a negative whole number

Answer:

Step-by-step explanation:

- 5/2 | -2 | 1.7

i just got it correct doing that

Pls help Zoey is trying to write an equation in slope intercept form. She knows slope intercept form is y=mx+b. She is given the slope is 3 and the y intercept is 10. When she plugs it in she gets 10=3x+b. What mistake did zoey make and how can she fix it?

Answers

Answer:

the mistake that zoey had made while writing the equation was putting the y-intercept in the wrong place.in the slope intercept from the equation is y=mx+b.y is the product or the line, m is the slope, b is the y-intercept, the actual equation should be y=3x+10,instead what zoey had which was 10=3x+b. she guessd by pairing the y-intercept with y instead of b.

Step-by-step explanation:

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1)If (x-2) is a factor of x2+ 3ax -2a, then find the value of a

Answers

Answer:

x - 2 => x = 2

x² + 3ax - 2a

=> 2² + 3 × a × 2 - 2 × a

=> 4 + 6a - 2a

=> 4 + 4a

=> 4 ( 1 + a )

★ 1 + a = 0

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A ball is launched from a sling shot. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.After 1 second, the ball is 148 feet in the air; after 2 seconds, it is 272 feet in the air.

Find the height, in feet, of the ball after 6 seconds in the air.

I have no idea any help?

Answers

From the data given, generate first the quadratic equation which best describe the height of the ball. The quadratic function has a general form of 
                                             f(x) = Ax^2 + Bx 

Substituting the known data,

                             (1)            148 = A(1^2) + B(1)
                             (2)             272 = A (2^2) + B (2)
solving for A and  B simultaneously, 

                                              A = -12
                                              B = 160

To answer this problem, substitute 6 to x. Thus, after 6 seconds, the height is 528 feet. 
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