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adelina 88 [10]
3 years ago
14

of 140 seventh grade students, 15% earn the presidential physical fitness award. How many students earn the award

Mathematics
2 answers:
mafiozo [28]3 years ago
6 0
10% = 14 , 5% = 7 , 14+5= 21 , so 21 won the award 
4vir4ik [10]3 years ago
4 0
0.15*140=21

21 is 15% of 140
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Month 1: 93 in
Elodia [21]

Answer:

9.5 inches per month

Step-by-step explanation:

Given the information about the depth of the pond:

Month 1:     93 in

Month 2:    98 in

Month 3:    112 in

From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula

\dfrac{\text{Depth}_3-\text{Depth}_1}{3-1}

Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is

\dfrac{112-93}{3-1}=\dfrac{19}{2}=9.5\ in/month

4 0
3 years ago
this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y
marissa [1.9K]

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

__

3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

__

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0
3 years ago
At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, then how many a
Reika [66]

Set up the equation by writing the number of students in the ratio as a fraction:

3/4= (245-x)/x Cross multiply:

3x= 4(245-x) Multiply on right:

3x= 980-4x Add 4x on both sides:

7x= 980 Divide both sides by 7:

x= 140 this is how many girls there are. And:

245-140= 105= boys

5 0
3 years ago
Read 2 more answers
The Siberian tiger can grow up to 10 4/5 feet long. Express this length as decimal
MrRissso [65]
The answer is 10.8. You turn 10 4/5 into 54/5. Then you divide 54 by 5.
6 0
3 years ago
Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th
ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

3 0
4 years ago
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