Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?

A.12x + 9.5y ≤ 220 AND x + y ≥ 20
B.12x + 9.5y ≤ 220 AND x + y ≤ 20
C.12x + 9.5y ≥ 220 AND x + y ≤ 20
D.12x + 9.5y ≥ 220 AND x + y ≥ 20

Answers

Answer 1

Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer 2

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.


Related Questions

a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth

Answers

Answer:

$6414

Step-by-step explanation:

Step one

given

Principal=$2,000

rate= 6%= 0.06

Time= 20 years

Required

The final amount

Step two:

The compound interest formula is

A= P(1+r)^t

substituting we have

[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]

The amount given to the college is $6414

What is the height of the triangle? Please mark me brainlest

Answers

Answer:

It's 3 square units.

Count the "squares" and you get 3 and it's not real units so It's called "Square units".

:)

Answer:

no figures

Step-by-step explanation:

to work with and the answer is can't be determined

Need help ASAP!!!
Please helppp

Answers

Your answer will be 24

identify a value k that makes (x+5) a factor of x^3+kx^2-x+45

will mark brainliest

Answers

Answer:

We should attempt synthetic division to find when

x

3

k

x

2

+

2

k

x

15

x

3

has a remainder of

0

, which would signify that it is a factor of the polynomial.

The synthetic substitution would be set up as:

3

1

k

2

k

15

−−−

−−−

−−−

−−−

−−−

|

0

Treating the synthetic division like any other synthetic division problem, we see that

3

1

k

2

k

15

−−−

−−−

3

−−−−−−−−

3

k

+

9

−−−−−−−−

3

k

+

27

−−−−−−−−−

1

k

+

3

k

+

9

|

0

If the remainder equals

0

, then we know that

3

k

+

27

+

(

15

)

=

0

Solve this to see that

k

=

4

.

Thus,

(

x

3

)

is a factor of

x

3

4

x

2

+

8

x

15

.

8+6t-3t+t
I’ll mark brainliest and 10 points I need ASAP

Answers

Answer:

8+4t

Step-by-step explanation:

combine 3t and t then do 6t - 4t getting 8+4t

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answers

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

Thus, the other angle = 2x

Complementary angles

We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Question :

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

Answer :

A.) 30 degrees

Solution :

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)

30% OFF EACH SHEET!

30% OFF EACH SHEET!

Answers

Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

I need help ASAP it’s compound interest and I’m not very good at it

Answers

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where

A is the new valueP is the initial amountr is the rate in decimaln is the number of the periodt is the time in years

Part B:

5)

P = $4250

r = 1.5% = 1.5 ÷ 100 = 0.015

n = 4 ⇒ Compounded quartly

t = 3 years

→ Substitute them in the formula above

∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]

∴ A = 4250 [tex](1.00375)^{12}[/tex]

∴ A = 4445.244256

She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

P = 6000

∵ The account is compounded semi-annually at 3%

r = 3% = 3 ÷ 100 = 0.03

n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

t = 10

→ Substitute them in the formula above

∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]

∴ A = 6000 [tex](1.015)^{20}[/tex]

∴ A = 8081.130039

She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

r = 5% = 5 ÷ 100 = 0.05

n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

P = 9000

∵ The time is 8 years

t = 8

→ Substitute them in the formula above

∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]

∴ A = 9000 [tex](1.025)^{16}[/tex]

∴ A = 13360.55059

He will have $13360.55059 in 8 years

Which diagram best shows how fraction bars can be used to evaluate 1/2 ÷ 1/4

A: 2/4
B:2
C:1/2
D:1/2

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP DUE AT 8:30 A.M. I WILL MARK BRAINLIEST! Thank you

Choose the correct solution to the equation:

1. 7B+ 4= 7B - 3
A. No Solution
B. Infinitely Many Solutions
C. One Solution

2. 2C-5=8C+7
A. No Solution
B. Infinitely Many Solutions
C. One Solution


3. 5A+7=3A+7+2A
A. No Solution
B. Infinitely Many Solutions
C. One Solution

Answers

Answer:

1. no solution

2. one solution

3. infinitely many solutions

Step-by-step explanation:

1. 4= -3

false

2. -5=6c+7

2=6c

c=3

3. 5a+7=5a+7

true

Answer:

No solution

One solution

Infinite number of solutions

Step-by-step explanation:

Decide, for each of the statements below, if they are true or false. a) We use bootstrap distributions as a tool to calculate p-values b) The spread of the bootstrap distribution resembles the spread of the sampling distribution c) Each bootstrap statistic is calculated from a bootstrap sample formed by drawing an entirely new sample from the population

Answers

Answer:

a) True

b) True

C) false

Step-by-step explanation:

just a guess..... Merry Christmas

3/8 x 4/9? Plz help I’m doing a test lol

Answers

Answer: 0.16666666666

Help me pls I will rate u five stars and like it if it is correct and I will try to mark u brainiest

Answers

first line: 8
second line: 64
hope this helped

Answer:

1. 8 x 8 ÷ 2

2. 64 ÷ 2 = 32

Step-by-step explanation:

(7+1) becomes 8 and 8 x 8 becomes 64

64 ÷ 2 = 32

The logarithmic property
[tex] log_{b}(m) - log_{b}(n) [/tex]
=
[tex] log_{b}( \frac{m}{n} ) [/tex]
can be proven by using which exponential property. ​

Answers

Answer:

using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)

What is the perimeter, in feet, of the polygon 15 22 10 18 14?

Answers

Answer:

79 feet

Step-by-step explanation:

The perimeter is all the sides added together.

15+22+10+18+14 =

79 feet

please give thanks :)

if answer is incorrect, your question is not clear enough. this is the best answer I can provide.

Step-by-step explanation:

check the answer it is as same

a company pays its employees and average hourly wage of 36.25 with a standard deviation of 6.50 more than 23.22 of 36 employees are randomly selected, what is the probability that their mean wage is more than 23.22

Answers

Answer:

P [ X > 23,22 ]  = 0,8798      or  P [ X > 23,22 ]  =  87,98 %

Step-by-step explanation:

P [ X > 23,22 ]  =  1  -  P [X ≤ 23,22 ]

P [X ≤ 23,22 ] =  ( X - μ₀ ) / σ /√n

P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36

P [X ≤ 23,22 ] =  - 13,03 *6 / 6,50

P [X ≤ 23,22 ] = - 12,02        or       P [X ≤ 23,22 ] = 12,02 %

(note the - sign only mean that values on the left tail of the bell shape curve)

Then

P [ X > 23,22 ]  =  1  -  0,1202

P [ X > 23,22 ]  = 0,8798      or  P [ X > 23,22 ]  =  87,98 %

-6 (y + 15) = -3y + 6
What value of y makes the equation true?

Answers

Answer: y=-32

Step-by-step explanation:

1. Simplify:

-6y-90=-3y+6

2. Add like terms:

-96=3y

=> y=-32

Have a nice day! :)

Reduce 13/2+1 3/4+ 2 5/6=

Answers

Answer:

[tex]\frac{35}{3}[/tex] or [tex]11 \frac{2}{3}[/tex]

Step-by-step explanation:

Just add them

please help me! plssssss

Answers

Answer:

1 hour and 15 minuets

Step-by-step explanation:

5 hours and he was hedging for 25% of that time.

25%=.25

5(0.25)

1.25

A quarter of an hour is 15 minutes.

So the final answer would be 1 hour and 15 minuets.

This one might not look familiar yet, but it's very similar to the distance problems you've already seen.

My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?

Question 5 options:

0.36 miles


2.75 miles


30 miles


176 miles

Answers

Answer:

176.

Step-by-step explanation:

what is the first step in evaluating the expression below ? 3x{9-(4+2)÷2}​

Answers

If you follow the rules of PEMDAS, the parentheses should be first.
So it would be,
3x{9-7/2}
3x5.5
16.5
hope this helps! If its wrong Im so sorry

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?

Answers

Answer:

Both take time together = 36 / 5 hours = 7.2 hours

Step-by-step explanation:

Given:

Briana take time = 12 hour

Henry take time = 18 hour

Find:

Both take time together

Computation:

Briana 1 hour work = 1/12

Henry 1 hour work = 1/18

Both take time together = 1/[1/12+1/18]

Both take time together = 1/[5/36]

Both take time together = 36 / 5 hours = 7.2 hours

Indicate the answer choice that best completes the statement or answers the question
Determine whether each table represents a linear or a nonlinear function.
b
0
12
4
18
16
38
16

Answers

Answer:

I also think b one is correct

What is the difference between the two hotel rates per night?
A $26 per night
B $28 per night
C $298 per night

Answers

Answer:

3

Step-by-step explanation:

What is the simplified value of the expression below? -2.6+5.8

Answers

Answer:

3.0

Step-by-step explanation:

5.8-2.6=3.2 simplified 3.0

The answer for -2.6+5.8 is 3.2

An object has a density of 40 g/cm
and a volume of 50 cm? What is
cm
the mass of the object?

Answers

Answer:

80

Step-by-step explanation:

which is the correct answer?​

Answers

Step-by-step explanation:

Step 3 is incorrect, it should be x - 4 + x = x(x - 3).

x - 4 + x = x(x - 3)

2x - 4 = x² - 3x

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1.

x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.

=> x = 1.

what is the slooe of the following equation y =-×+1​

Answers

Answer:

-1

Step-by-step explanation:

slope is always the coeffcient* the number beside the variable

In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?

Answers

Answer: [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean [tex]\overline{x}= 29.7[/tex] degrees

Population standard deviation [tex]\sigma=2.7[/tex] degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

[tex]\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}[/tex]

[tex]=29.7\pm ( 1.2816)(0.42167)[/tex]

[tex]=29.7\pm 0.5404[/tex]

[tex]=(29.7-0.5404,\ 29.7+0.5404)[/tex]

[tex]=(29.1596,\ 30.2404)[/tex]

Hence, 80% confidence interval for the temperatures in the freezer [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Supervisor: “Your bonus will be 7% of your sales revenue.” Employee: “My sales revenue is $8,327, so my bonus will be __________.”

Answers

Answer:

$586.04 is your answer

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