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4 years ago

What is 7/8% of 24? Please show work

Mathematics

1 answer:

mestny [16]4 years ago

3 0

7/8% of 24 = ( ( 7 × 100 ) / 8 ) × 24
= ( 700 / 8) × 24
= ( 175 / 2 ) × 24
= 175 × 12 = 2100

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Please help find the formulas for these!! ASAP!!!

Ilya [14]

Answer:

$a)\ f(x)=\left\{\begin{array}{cccc}-x+2&for&x\in(0,\ 2]&/0$

$b)\ f(x)=\left\{\begin{array}{cccc}-3x-3&for&x\in(-1,\ 0]&/-1$

Step-by-step explanation:

These are graphs of piecewise functions.

Each part is a graph of the linear function.

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

========================================

Part 1:

Points (0, 2) → b = 2, and (2, 0).

Calculate the slope:

$m=\dfrac{0-2}{2-0}=\dfrac{-2}{2}=-1$

Put the value of m and b to the equation of a line:

$(1)\ y=-1x+2=-x+2$

Part 2:

Points (2, 1) and (5, 0).

Calculate the slope:

$m=\dfrac{0-1}{5-2}=\dfrac{-1}{3}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, 0) to the equation of a line:

$0=-\dfrac{1}{3}(5)+b$

$0=-\dfrac{5}{3}+b$ add 5/3 to both sides

$\dfrac{5}{3}=b$

Therefore we have:

$y=-\dfrac{1}{3}x+\dfrac{5}{3}$

The domain of the function is (0, 2] and (2, 5].

Formula of the piecewise function:

$f(x)=\left\{\begin{array}{cccc}-x+2&for&x\in(0,\ 2]&/0$

============================================================

We solve the same as in a) in Part 1

Part 1:

(-1, 0), (0, -3) → b = -3

$m=\dfrac{-3-0}{0-(-1)}=\dfrac{-3}{1}=-3$

$y=-3x-3$

Part 2:

(0, 3) → b = 3, (2, -1)

$m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2$

$y=-2x+3$

Domain: (-1, 0] and (0, 2].

$f(x)=\left\{\begin{array}{cccc}-3x-3&for&x\in(-1,\ 0]&/-1$

6 0

4 years ago

What is 160% of what is 32

belka [17]

Answer:

51.2

Step-by-step explanation:

160% is the same as saying 1.6 as a decimal. So 160% of 32 would be 32 × 1.6 = 51.2

7 0

3 years ago

Read 2 more answers

#3) A skier is at the top of his hill ready to ski down. The skier is now located at

gladu [14]

The any would be -7/-3

4 0

3 years ago

Milan bought 4 CDs that were each the same price. Including sales tax, he paid a total of $52.40. Of that total, $4.80 was tax.

beks73 [17]

Step-by-step explanation:

52.40-4.80

=47.6

47.6÷4

$11.9

5 0

3 years ago

Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.

pashok25 [27]

When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.

Answer: assume a≥7

7 0

3 years ago