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3 years ago

In Amy's garden the ratio of herbs to plants is 5:2. If there are 40 herb plants, how many vegetable plants are in her garden?

Mathematics

1 answer:

GREYUIT [131]3 years ago

4 0

There are 16 vegetable plants because 40/5 is 8 and 2 times 8 is 16. 5:2=40:16

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What is the scale factor of triangle ABC to triangle XYZ?

Alex

9514 1404 393

Answer:

C. 6

Step-by-step explanation:

XY/AB = 30/5 = 6

Triangle ABC is scaled by a factor of 6 to make triangle XYZ.

5 0

3 years ago

Plane traveled 1120 miles each way to Munich and back. The trip there was with the wind. It took 10 hours. The trip back was int

kotegsom [21]

Answer:

84 mph and 28 mph

Step-by-step explanation:

Let the speed of plane is p and speed of the wind is w.

Then we have:

10*(p + w) = 1120 ⇒ p + w = 112
20*(p - w) = 1120 ⇒ p - w = 56

Sum the two equations and solve for p:

p + w + p - w = 112 + 56
2p = 168
p = 84

Find w:

84 + w = 112
w = 112 - 84
w = 28

6 0

2 years ago

$1,000 after 2 years at an interest rate of 3.0% is round up to the nearest cent

Shalnov [3]

After two years with the interest compounded annually the amount would be $1,060.90.

After two years with the interest compounded monthly the amount would be $1,061.76.

After two years with the interest compounded quarterly the amount would be $1,061.60.

After two years with the interest compounded semiannually the amount would be $1,061.36.

4 0

3 years ago

Which of the following is true about the measure of segment EF?

m_a_m_a [10]

There is no following

6 0

3 years ago

Donatello starts with a marble cube of side length $10.$ He then slices a pyramid off each corner, so that in the resulting poly

prohojiy [21]

Answer:

The length of each side of the polyhedron, s is 4.142 or

= $10(\sqrt{2}-1)$

Step-by-step explanation:

If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as

$\sqrt{x^2 + x^2} = \sqrt{2x^2} =x\sqrt{2}$

x·√2 because we have an hy

Therefore, the original cube had sides of length

10 = 2·x + x·√2

Solving for x we get

$x = \frac{10}{\sqrt{2}+2 }$

Therefore the length of s is x·√2 which gives

$s = x\sqrt{2} = \frac{10}{\sqrt{2}+2 }\sqrt{2} = 10\sqrt{2} -10 = 10(\sqrt{2}-1) = 4.142$

The length of each side of the polyhedron, s = 4.142.

3 0

3 years ago