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3 years ago

Billy works 22 hours every week. he makes $8.00 per hour. He gets paid every

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

352

Step-by-step explanation:

he makes 176 a week because 8×22=176. then do 176×2 because it will be fot 2 weeks. the total will then be 352

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Find c if m A = 70.6°, b = 10.4 in

nata0808 [166]

Answer:

its 7.8

Step-by-step explanation:

4 0

2 years ago

Plz help me 75 points for the 2 questions!!!

liraira [26]

Answer:

<u>The system of equations:</u>

2x + 7y = -11
3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
6x + 21y - 6x - 10y = -33 + 44
11y = 11
y = 1

2x + 7*1 = -11
2x = -11 - 7
2x = -18
x = -9

<u>The solution is:</u>

x = -9, y = 1

<u>Simplifying in steps:</u>

8u - 29 > -3(3 - 4u)
8u - 29 > - 9 + 12u
12u - 8u < -29 + 9
4u < -20
u < -5

3 0

3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago

What is the percentage difference between 50 and 45

Vinil7 [7]

45 is 90 percent of 50. / / / 50 is (111 and 1/9) percent of 45.

6 0

3 years ago

Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's

zloy xaker [14]

Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4.

$\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}$
$\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}$
$\frac{12}{12} - \frac{10}{12} = \frac{2}{12}$

It can then be concluded that each parent ate $\frac{1}{12}$ of the cake, since there was $\frac{2}{12}$ remaining.

You can check this answer by adding up all of the parts we used in this problem:

$\frac{3}{12} + \frac{3}{12} + \frac{4}{12} + \frac{1}{12} + \frac{1}{12} = \frac{12}{12}$

Hope this helped you out! :-)

3 0

3 years ago