Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?

Answer:

30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.

Step-by-step explanation:

Let's learn by having an example, take number 220 and build its prime factorization.

0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.

1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.

220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.

2) Divide the result of the previous operation, 110, by 2, again:

110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.

3) Divide the result of the previous operation, 55, by 2, again:

55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.

4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):

55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.

5) Divide 55 by the next prime number, 5:

55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.

6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.

7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.

This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.

Answer: 2 miles per hour

Step-by-step explanation: This is a fraction equal to

6 miles ÷ 3 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

6 miles ÷ 3

3 hours ÷ 3

=  

2 miles

1 hour

=  

2 miles

hour

= 2 miles per hour

Answer: i think it’s A and D

Answer:

i think it is D

Answer:

it will take 8 weeks

8 x 15 =120

120+75= 195

195x2= 390

Answer:

All real values of 'x'. i.e., the answer to the question is 'E'

Answer:

.25 per orange

Step-by-step explanation:

2.5/10=.25

Answer:

c

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

its C  

trust me

i did edge

Answer:

x = 2

Step-by-step explanation:

I hope this helps!

Answer:

100,000+2,000+400+50+3

Step-by-step explanation:

Answer:

100,000+2,000+400+50+3

Answer:

0.4

Step-by-step explanation:

all I got to say is that the answer is 0.4 %100

I am not sure what you are trying to ask. Are you sure the problem doesn't give you anymore information? Please let me know :D

Answer:

x = 98

y = 126

Step-by-step explanation:

If you match triangle abc to triangle cde, you will match where x and y is.

168 ÷ 12 = 14

Now you multiply 14 by the other side lengths

9 • 14 = 126

7 • 14 = 98

It is similar to a dilation.

Answer:

way to hard sorry cant help you

Let's solve your inequality step-by-step.

9−4(x+4)≤7+4(5x+7)

Step 1: Simplify both sides of the inequality.

−4x−7≤20x+35

Step 2: Subtract 20x from both sides.

−4x−7−20x≤20x+35−20x

−24x−7≤35

Step 3: Add 7 to both sides.

−24x−7+7≤35+7

−24x≤42

Step 4: Divide both sides by -24.

−24x

−24

≤

42

−24

x≥

−7

4

Answer:

x≥

−7

4

Answer:

[tex]Slope = 1.57[/tex]

Step-by-step explanation:

Given

[tex]Height = 230.38\ m[/tex]

[tex]Base = 146.5\ m[/tex]

Required

Determine the slope

Slope is calculated as thus:

[tex]Slope = Rise/Run[/tex]

In this case:

[tex]Rise = Height = 230.38 m[/tex]

[tex]Run = Base = 146.5 m[/tex]

So, we have:

[tex]Slope = 230.38 / 146.5[/tex]

[tex]Slope = 1.57[/tex] (approximated)

Answer:

1

Step-by-step explanation:

-11 + 11 =0

0+1= 1

So it would be 1>-11

Answer:

A

y = [tex]\sqrt{x+11}[/tex] + 5

Step-by-step explanation:

For edge

Answer:

The answer is "Option d".

Step-by-step explanation:

It involves the use of quantitative templates, diagrams, or summaries in such a given set of experimental data or real-liability for research. This research method is used for gathering, analyzing, assessing, or making judgments.  

Answer:

16 teaspoons

Step-by-step explanation:

4x4= 16 teaspoons

The amounts of oil and vinegar combined to make the salad dressing are

in a constant definite proportion.

The quantity of oil required to make 28 teaspoons of dressing is 16

teaspoons.

Reasons:

According to the question, 4 parts of oil are added to every 3 parts of

vinegar.

Therefore;

The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3

4 : 3 = [tex]\dfrac{4}{3}[/tex]

The proportion of oil to vinegar is therefore;

[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]

Which gives;

[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]

Let x represent the amount of oil required to make 28 teaspoons of dressing,

we have;

[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]

Which gives;

[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]

[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]

Therefore;

[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]

The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.

Learn more here:

https://brainly.com/question/20320243

Answer:

93

Step-by-step explanation:

So use order of operations

Answer:

x=5 over 2 (it's a fraction)

Step-by-step explanation:

STEP 1 distribute : 4-1 (2x+4)=5

4-2x-4=5

STEP 2 subtract: 4-2x-4=5

-2x=5

STEP 3 divide both sides of the equation by the same term:

-2x=5

-2x 5

----- ------

-2 -2

STEP 4 simplify:

cancel the terms that are both the numerator and denominator

divide the numbers

x= - 5 over 2 (fraction)

I hope this helps

Answer:

It's -3/4

Step-by-step explanation: y2-y1/x2-x1

So (8-5)/((-2)-(-6))

Answer: 0.9974

Step-by-step explanation:

Let X be the random variable that follows the normal distribution \.

If mean ([tex]\mu[/tex]) = 10 and standard deviation ([tex]\sigma[/tex]) =1

then, the probability of selecting a number between 7 and 13 = [tex]P(7<X<13)[/tex]

[tex]=P(\dfrac{7-10}{1}<\dfrac{X-\mu}{\sigma}<\dfrac{13-10}{1})[/tex]

[tex]=P(-3<z<3)[/tex]                     [Since [tex]z=\dfrac{X-\mu}{\sigma}[/tex]]

[tex]=P(z<3)-P(z<-3) \ \ \ [P(z_1<Z<z_2)=P(Z<z_2)-P(Z<z_1)]\\\\= P(z<3)-(1-P(z<3))\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=2P(z<3)-1\\\\=2(0.9987)-1\ \ [\text{By p-value table}]\\\\= 0.9974[/tex]

Hence, the probability of selecting a number between 7 and 13 is 0.9974.

Answer:

14 √2

Step-by-step explanation:

 Given expression:

             √392

Simplified radical = ?

Solution:

      392  = 8 x 49

    =  √8 x 49

    =   7√8

    =   7√4 x 2

    = 7 x 2√2

    = 14 √2

Answer: I think it's-4/10 + (-7/10) = -1 1/5

Step-by-step explanation: number line

Answer:

-4/10 + (-7/10) = -1 1/5

If its incorrect ..........

Step-by-step explanation:

...........I need an image

Answer:

−x⋅(17x−24)

Step-by-step explanation:

(-2x -  (2x • (5 - 4x))) +  3x • (4 - 3x)

 (-2x -  2x • (5 - 4x)) +  3x • (4 - 3x)

  24x - 17x2  =   -x • (17x - 24)

Answer:

Step-by-step explanation:

1,080 hours just multiply 24 and 45