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Sliva [168]
2 years ago
7

Of the 140 7th graders, 15% earn the Presidential Physical Fitness award. How many students earn the award? *

Mathematics
1 answer:
GenaCL600 [577]2 years ago
8 0

Answer:

21 students

Step-by-step explanation:

the percent proportion is a/w = p/100

where A is a part of the whole W, and p% or p/100 is the percent

a/140 = 15/100 (Substitute w =140 and p= 15)

a times 100=140 times 15 (cross poducts property)

100a=2100  (Multiply)

100a/100 = 2100/100 (divide both sides by 100)

a = 21 (simplify)

So, 21 students win the award.

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The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
3 years ago
Read 2 more answers
A ball is thrown straight up with a initial velocity of 56 feet per second . The height , h , of the ball t seconds after it is
Tju [1.3M]

<span>Formula: H(t) = 56t – 16t^2   </span>

H(t) = - 16t^2 + 56t

<span><span>A.      </span>What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.</span>

<span><span>B.      </span>What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.</span>

<span><span>C.      </span><span>After how many seconds will it return to the ground? – 16t^2 + 56t = 0   - 8t =0 t = 0</span></span>

<span><span>-          </span><span>8t (2 + - 7) = 0     2t – 7 = 0  t = 7/2   Ans: 3.5 seconds</span></span>

3 0
3 years ago
Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
vitfil [10]

Answer:

(A) e^2

(b) e^{-3}

(c) e^2

(d) e^3

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) (\frac{1}{e})^{-2}

So (\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2

(b) (\frac{e^5}{e^2})^{-1}

So (\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}

(c) \frac{e^5}{e^3}

So \frac{e^5}{e^3}=e^2

(d) \frac{1}{e^{-3}}=e^3

7 0
2 years ago
A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99
pav-90 [236]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

4 0
3 years ago
The function​ s(t) represents the position of an object at time t moving along a line. Suppose s (3 )equals 156 and s (6 )equa
bixtya [17]

Answer: The average velocity of the object over the time interval [3,6] is 20.

Step-by-step explanation:

Since we have given that

s(3) = 156

s(6) = 216

We need to find the average velocity over the time interval [3,6].

So, average velocity becomes

\dfrac{s(t_1)-s(t_0)}{t_1-t_0}\\\\=\dfrac{s(6)-s(3)}{6-3}\\\\=\dfrac{216-156}{3}\\\\=\dfrac{60}{3}\\\\=20

Hence, the average velocity of the object over the time interval [3,6] is 20.

5 0
2 years ago
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