Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school year at the same rate of pay and needs to make another $\$3000$, how many hours per week must she work?

Answer:

B. 114 deg

Step-by-step explanation:

Since sides AC and BC are congruent, then angles A and B are congruent.

m<A + m<B + m<C = 180

33 + 33 + m<C = 180

m<C + 66 = 180

m<C = 114

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.

Answer:

m∠b = 35°

m∠c = 145°

m∠ d = 35°

Step-by-step explanation:

To find m∠b, we use Definition of Supplementary Angles:

180 - (90 + 55) = 35°

To find m∠c, we also use Definition of Supplementary Angles:

180 - 35 = 145°

To find m∠d, we use Vertical Angles Theorem:

m∠b = m∠d = 35°

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

P ( not win) =  (m-l) / m

Step-by-step explanation:

If there are m tickets and l are winners

m-l are not winners

P( not winning) = non winners/ total

                              (m-l) / m

Answer:

Step-by-step explanation:

P ( not win) =  (m-l) / m

Answer:

-1/9

Step-by-step explanation:

- (3^-5) (3^3)

Apply the law of exponents.

- 3^(-5 + 3)

Add the exponents.

- 3^(-2)

Evaluate.

= - 1/9

Answer:

A

Step-by-step explanation:

(3^-5)(3^3)

=3^-5+3

=3^-2

=1/3^2

=1/3×3

=1/9

=-9

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

The measure of each individual angle will be of 90°

A quadrilateral is a 2D figure which has 4 sides.

According to the given question a square is dilated by a factor of 2.

Suppose the side of the original square was x cm.

∴ We know the area of he square will be side² which is

= (x)²

= x².

Now the square is dilated by a factor of 2.

∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².

But the measure of each individual angle will be same and they are all of 90°.

learn more about quadrilateral here :

https://brainly.com/question/13805601

#SPJ2

Answer:

1/11

Step-by-step explanation:

Out of eleven of the sections, Bridget only takes care of one, so she took care of one out of eleven (1/11) sections.

Hope this helped! :)

Answer:

1/11

Step-by-step explanation:

Since there are 11 equal sections in total, we know that 11 is the denominator => the amt. of garden her neighbor plants is excess info. so we can cross that out. => Bridget plants 1 section of the whole garden so that is our numerator.

Thus, we have our answer of 1/11

Answer:

10%

-------------------------------------------------

Total marbles = 5 + 8 + 12 = 25

P(red then green) = (5/25)(12/24) = 1/10

1/10 = 0.1 = 10%

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

Answer:

Step-by-step explanation:

er

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Subtract the percent of getting odd from 100 percent.

100 - 62 = 38%

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Answer:

Step-by-step explanation:

Rolling two consecutive odd numbers when a pair of dice is rolled.

There are 3/6 (1, 3, 5) odd numbers on a fair dice.

3/6 = 1/2

The dice is rolled twice.

1/2 × 1/2 = 1/4

Answer:

Your correct answer is 1/4

Step-by-step explanation:

The numbers 1, 3, and 5 are all odd numbers on a fair dice.

3/6 = 1/2

The dice will be rolled 2 times.

1/2 × 1/2 = 1/4

Answer: 132

Step-by-step explanation:

First, you write your equation. Let your number be X.

Here is your equation.

(x ÷ 11) + 7 =19

Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12

But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

By definition of logarithms:

[tex]b^y=M[/tex]

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].

The answer would be [tex]b^y=M[/tex].

For some examples, consider:

[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:

[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

Answer:

Step-by-step explanation:

6j + 7 = 21 - j

Add 'j' to both sides

6j + 7 + j = 21 - j +j

7j + 7 = 21

Subtract 7 form both sides

7j + 7 - 7 = 21 - 7

7j  = 14

Divide both sides by 7

7j/7 = 14/7

j = 2

Answer:

j = 2

Step-by-step explanation:

6j + 7 = 21 - j

6j + j = 21 - 7

7j = 14

j = 14/7

j = 2

Answer:

12y

Step-by-step explanation:

There are 12 months in a year

Take the number of years and multiply by 12

12y is the number of months

Answer:

12y

Step-by-step explanation:

To find the number of months in a certain amount of years, there are twelve months in a year, so you would just multiply twelve by the number of years. Hope this helped!

Brainliest is always really appreciated :)

Answer: A. (1,25000) (2,21250) (3,13750) (4,10000)

B. Domain: {1, 2, 3, 4}. Range: {10000, 13750, 21250, 25000}

C. No

Step-by-step explanation:

For A: The number of years the car is owned will affect the value of the car. So the number of years owned is the x and the value of the car is y.

For B: The domain means x and the range means y. Order them in numerical order and don't forget to put {brackets}!

For C: Function means if on a graph, it shows up as a squiggly line. The easiest way to identify whether of whether it is not a function is if a x value repeats.

– Hope this helps!

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:225

Step-by-step explanation:

Answer: B: 9.6 x 10 7 km

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation: