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2 years ago

Anson collected 720 seashells. Then he gave 209 seashells to

Mathematics

1 answer:

vaieri [72.5K]2 years ago

3 0

Answer:

18.75%

Step-by-step explanation:

720 - (209+376) =

720 - 585 = 135

135/720 = 0.1875 --> 18.75%

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Solve for x. <br><br> 3(x + 5) - 2(x + 2) = 20

IRINA_888 [86]

[tex] 3(x + 5) - 2(x + 2) = 20 \\
3x + 15 - 2x - 4 = 20\\
5x + 11 = 20\\
5x = 9\\
x = 1\frac{4}{5} [tex]

4 0

2 years ago

Read 2 more answers

4/7 divided by 1 3/4

poizon [28]

Answer:

16/49

Step-by-step explanation:

4/7 ÷ 1 3/4

Convert 1 3/4 into an improper fraction

4/7 ÷ 7/4

Find the reciprocal of 7/4 and multiply

4/7 * 4/7

16/49

Hope this helps :)

7 0

2 years ago

A card is picked at random from a standard deck of cards. What is the sample space for this expirement if you were trying to

kifflom [539]

D samplsce space =52

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2 years ago

Read 2 more answers

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

For all values of x<br> f(x) = 3x + 2<br> Find f-¹(-12)

Novosadov [1.4K]

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

8 0

1 year ago