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Evaluate $0.3y + \frac{y}{z}$ when $y = 10$ and $z = 5$ .

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Grade 8

Write and solve direct variation equations

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More problems from Write and solve direct variation equations

Question

y

varies directly with

x

and

y = 20

when

x = 10

, find

y

when

x = 4

. Write and solve a direct variation equation to find the answer.

\newline

y = \underline{\hspace{2em}}

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Posted 8 months ago

Question

A direct variation includes the points

(4,16)

and

(1,n)

. Find

n

. Write and solve a direct variation equation to find the answer.

\newline

n = \_\_\_

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Posted 8 months ago

Question

3 + jk + k^3

when

j = 2

and

k = 6

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Posted 3 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

. At what rate

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 1 month ago

Question

A leaky

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

for g .)

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

)

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

(in m).

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

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Posted 1 month ago

Question

Solve the equation.

\newline

6 w^{7}=98,304

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\text{ m}

at a constant speed with a rope that weighs

0.6\text{ kg/m}

. Initially the bucket contains

42\text{ kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\text{-m}

level. How much work is done? (Use

9.8\text{ m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Get tutor help

Posted 1 month ago

View all (4)

Evaluate 0.3y+yz0.3y + \frac{y}{z}0.3y+zy​ when y=10y = 10y=10 and z=5z = 5z=5.

Evaluate $0.3y + \frac{y}{z}$ when $y = 10$ and $z = 5$ .