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3 years ago

Kyle's height increased 17 % last year and 12% this year. What is the total percent increase ?

Mathematics

1 answer:

Advocard [28]3 years ago

6 0

Answer:

31.04%

Step-by-step explanation:

So he increased 17%, then increased 12%.

When he increased by 17%, his height was 117%, relative to his former height. 12% of 117% is 14.04%

So he increase 17%, then increased 14.04% ( of his original height) so his total growth was 31.04%

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1 / f = 1 / a + 1 / b

Sphinxa [80]

That equation can represent the relationship among the image distance,
object distance, and focal length of a lens.

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6 0

3 years ago

Bella solves the equation 4(x + p) = 12, where p is a constant. He states that solution to the equation is x = -5. Determine the

liq [111]

Answer:

P=3

Step-by-step explanation:

To solve for p, we can simply substitute his answer in place of x, changing the equation to 4(-5+p)=12. Now we just have to solve it.

1. Apply the distributive property. We can do this by multiplying 4 by -5 and p. Our equation is now -20+4p=12

2. Add 20 on both sides. Since the 20 is negative, we would add it on both sides, canceling out the -20 and leaving us with the equation 4p=32.

3. Now divide 12 by 4. We want to get p alone by itself, so we divide both sides by 4, leaving us with the solution p=3.

Hope this helps! :D

4 0

3 years ago

Solve the following using the elimination or substitution method. Show all work.

ki77a [65]

Jim has 28 nickels and 37 dimes in his pocket. which is determined by the substitution method.

<h3>What is the equation?</h3>

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Let the number of nickels would be n

Let the number of dimes would be d

As per the given question,

d + n = 65 ....(i)

0.10d + 0.05n = 5.10 ....(ii)

From equation (i),

d + n = 65

d + n - n = 65 - n

d = 65 - n

Substitute in for the equation(ii): d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n = -1.4

n = 28

This means there are 28 nickels

Substitute the value of n = 28 in the equation (i),

d + n = 65

d + 28 = 65

d = 37

So there are 37 dimes

Thus, Jim has 28 nickels and 37 dimes in his pocket.

Learn more about the equation here:

brainly.com/question/10413253

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3 0

1 year ago

Read 2 more answers

4 sin ^ 2 x- 4 sin x + 1 = 0

m_a_m_a [10]

$4\sin^2x-4\sin x+1=(2\sin x-1)^2=0\implies \sin x=\dfrac12$

This happens for $x=\dfrac\pi6+2n\pi$ and $x=\dfrac{5\pi}6+2n\pi$ where $n$ is any integer.

8 0

3 years ago

you plan to cover the entire surface area of a cylindrical dart board with cork. find the surface area of the dart board if the

Assoli18 [71]

So the amount needed=area of circle times height
area formula=pi times radius^2
height=3/4

so
pi=aprox 3.14
radius=7
3.14 times 7^2
3.14 times 49
153.86
times 3/4
115.395 in^3

answer is 115.4 cubic inches

5 0

3 years ago