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3 years ago

5

Last month, Dory biked 11 Times as many miles as Karly. Together they biked a total of 156 miles. How many more miles did Dory b

ike last month?

1 answer:

salantis [7]3 years ago

4 0

13 more miles. You can use long division.

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Last year 49 people adopted a manatee through fia’s foundation. This year 15% more people adopted a manatee. How many people ado

borishaifa [10]

The equation is 49 times .15 which equals 7.35 then you add that to 49 which equals 56.35. Hope that helps and sorry if its wrong

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2 years ago

A model is made of a car. the car is 3 meters long and the model is 3 centimeters long. what is the ratio of the length of the c

Delicious77 [7]

The answer is d. No probs!

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3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

james borrows Php 700000 and promises to pay the principal and interest at 15% compounded monthly. How much must he repay after

Licemer1 [7]

Answer:

A = $ 1,987,379.10 + 700,000= $2,687,379.10

Step-by-step explanation:

15% = 0.15 rate per tear

A = P (1+r/n)^nt

A = 700,000 (1+0.015/12)^12*7

A = 700,000 (1+0.0125)^84

A = 700,000 ((0.9875)^84

A = 700,000 (2.839113)

4 0

2 years ago

Does anyone know answer to this ?

yKpoI14uk [10]

Answer:

THESE CAN HELP U OUT

A=12

B=15

8 0

2 years ago