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3 years ago

24 is 120% of what?, i need help so please tell ne the steps!?

Mathematics

1 answer:

taurus [48]3 years ago

4 0

Answer: it’s 20

We have, 120% × x = 24

or,

120/100 × x = 24

Multiplying both sides by 100 and dividing both sides by 120,

we have x = 24 × 100/120

x = 20

If you are using a calculator, simply enter 24×100÷120, which will give you the answer.

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

A recipe calls for two eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?

zzz [600]

Hello!

2 eggs makes 10 pancakes so that is a 2:10 ratio

which can be reduced to 1 egg makes 5 pancakes so

35/5 which equals 7

7 eggs are needed to make 35 pancakes

Hope this helps!

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2 years ago

What is the parent function of g(x)=-3f(x+2). NEED HELP ASAP.

bezimeni [28]

Answer:

f ( x ) = x

Step-by-step explanation:

The parent function is the simplest form of the type of function given

8 0

2 years ago

Paige, a 25% shareholder in an s corporation, had a stock basis of $10,000 at the beginning of the year. the corporation had ord

ElenaW [278]

Check google for the answer

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2 years ago

Pete walks 6 miles during each trip to school. How many trips does he need to make in order to make in a total of 48 miles?

Diano4ka-milaya [45]

Answer:

8 trips

Step-by-step explanation:

ALl you have to do is divide 48 by 6, which will give you 8, and there's your answer!

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2 years ago

Read 2 more answers

24 is 120% of what?, i need help so please tell ne the steps!?​

24 is 120% of what?, i need help so please tell ne the steps!?