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3 years ago

16.2 Jumping Rope

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

Percentage of Diego's time is 75%.

Step-by-step explanation:

Given : Jumping Rope hool held a jump-roping contest. Diego jumped rope for 20 minutes. A school held a jur Jada jumped rope for 15 minutes.

To find : What percentage of Diego's time is that?

Solution :

Diego jumped rope for 20 minutes.

Jada jumped rope for 15 minutes.

Percentage of Diego's time is given by,

$\text{Percentage change}=\frac{\text{Jada time}}{\text{Diego time}}\times 100$

$\text{Percentage change}=\frac{15}{20}\times 100$

$\text{Percentage change}=75\%$

Therefore, percentage of Diego's time is 75%.

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Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$

So, the correct answer is B

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3 years ago

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butalik [34]

Answer is D) Y. It's matching with the results given

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3 years ago

Name all of the angles that have the same measure as <1

kati45 [8]

Step-by-step explanation:

angle 5, 3, 7 since they're vertical and alternate interior angles that are all connected to angle 1

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3 years ago

Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.

lbvjy [14]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

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Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

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3 years ago

A 30 gram sample of a substance that's used to sterilize surgical instruments has a k-value of 0.1235. Find the substances half

jok3333 [9.3K]

Answer : The substances half life in days is, 5.6 days.

Step-by-step explanation :

Half life : It is defined as the amount of time taken by a radioactive material to decay to half of its original value.

All radioactive decays follow first order kinetics.

The relation between the half-life and rate constant is:

$k=\frac{0.693}{t_{1/2}}$

where,

k = rate constant = 0.1235 per days

$t_{1/2}$ = half-life

Now put all the given values in the above formula, we get:

$0.1235\text {days}^{-1}=\frac{0.693}{t_{1/2}}$

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Thus, the substances half life in days is, 5.6 days.

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3 years ago