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2 years ago

Kim mowed 1/4 of her yard. Her son mowed 3/7 of it. Who mowed the most. How much is left

Mathematics

1 answer:

Pepsi [2]2 years ago

3 0

Answer:

A. Kim's son

B. 9/28

Step-by-step explanation:

Give the fractions a common denominator of 28 then add.

12/28>7/28, so the son mowed more. 7/28+12/28=19/28. subtract this from 1 whole lawn and get 9/28.

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The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union

Sloan [31]

Answer:

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America.

Why do phase changes occur?

1. Compare: Set the Water temperature to 0 °C and click Play. Observe the water molecules.

Click Reset, set the Water temperature to 100 °C, and click Play again.

What do you notice? The water molecules are moving slightly faster at 100 °C than at 0 °C.

[Note: This difference may be too small to observe easily.]

2. Observe: Click Reset. The mean molecular speed of the water molecules is displayed

below the container. Set the Water temperature to 0 °C and Add/remove heat energy to

400 J/s. Click Play.

A. How does the mean speed of the water molecules change as they are heated?

The average speed of water molecules increases as they are heated.

B. Does the mean molecular speed change as much as the temperature as the

water heats up? Explain.

Sample answer: For each degree of temperature change, the mean molecular

speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about

17% faster than at 0 °C.

3. Explain: How is temperature related to the motions of molecules?

The higher the temperature, the faster the molecules move.

4. Observe: Click Reset. Set the Water temperature to 20 °C and the Ice volume to 50 cc.

Set Add/remove heat energy to 0 J/s. Click Play. How do the molecules in the liquid

interact with the molecules in the solid?

The molecules of the liquid collide with the molecules of solid, gradually breaking the bonds

between the molecules in the solid and causing the ice to melt.

Step-by-step explanation:

7 0

2 years ago

Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $

kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = P $e^{rt}$ , where

A is the future value of the investment, including interest

P is the principal investment amount (the initial amount)

r is the interest rate in decimal

t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000 $e^{8r}$

→ Divide both sides by 3000

∴ $\frac{11}{6}$ = $e^{8r}$

→ Insert ㏑ in both sides

∵ ㏑( $\frac{11}{6}$ ) = ㏑( $e^{8r}$ )

→ Remember ㏑( $e^{n}$ ) = n

∴ ㏑( $\frac{11}{6}$ ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0

2 years ago

Thirty eight years ago George was 14. how old is he now

ahrayia [7]

Lol I think it’s 38 I mean yeah right? It says thirty eight years ago which means he talking about the present

7 0

2 years ago

Read 2 more answers

If x^2 +2xy -8 = 0, then when x = 4, dy/dx =

Katena32 [7]

For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.

3 0

3 years ago

Read 2 more answers

What is the difference between 1/4 and 2/3

Mamont248 [21]

2/3 is way bigger then 1/4

6 0

2 years ago

Read 2 more answers