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What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10?

Artemon [7]

Answer:

s = 4

Step-by-step explanation:

3r = 10 + 5s

3×10 = 10 + 5s

5s = 30 - 10

5s = 20

s = 20 : 5

s = 4

7 0

3 years ago

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A. Work of 5 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural length. What is the force

kirza4 [7]

Answer:

(a) 62.5 N

(b) 694.4 N/m

(c) 41.7 N

Step-by-step explanation:

Work done in stretching a spring is

$W = \frac{1}{2}Fe=\frac{1}{2}ke^2$ since $F=ke$

F is the applied force, E is the elongation and k is the spring constant.

(a) Here, e = 16 cm = 0.16 m

$W = \frac{1}{2}Fe$

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.16}=62.5\text{ N}$

(b) Here, e = 12 cm = 0.12 m

$W =\frac{1}{2}ke^2$

$k=\dfrac{2W}{e^2}=\dfrac{2\times5}{0.12^2}=694.4\text{ N/m}$

(c) The restoring force is the same as the applied force.

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.12}=41.7\text{ N}$

4 0

4 years ago

Step 3: Using multi-step equations to solve problems a) You are using the equation 4(p - 7) = 44 to determine how many pictures

mrs_skeptik [129]

Answer:

p = 18

Explanation:

$\hookrightarrow \sf 4(p - 7) = 44$

$\sf change \ sides$

$\hookrightarrow \sf p-7\right}=\frac{44}{4}$

$\sf simplify$

$\hookrightarrow \sf p-7\right}= 11$

$\sf change \ sides$

$\hookrightarrow \sf p\right}= 11+7$

$\sf final \ answer$

$\hookrightarrow \sf p\right}= 18$

3 0

3 years ago

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1. What does it mean that Nikoleta is in the 10th percentile for length and weight? Is that a desirable statistic if she was in

VladimirAG [237]

Explanation:

1. It means that Nikoleta is longer and heavier than 10% of children her age.

2. We generally expect that a change from being in the 50th percentile to the 10th percentile signifies a condition that is interfering with normal growth. That is not usually considered desirable.

5 0

4 years ago

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Which inequality correctly compares 2/5, 1/8, and 5/7

anyanavicka [17]

Answer:

second or last

Step-by-step explanation:

4 0

2 years ago

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