Your friend really wants to buy the newest cell phone which will cost him $750. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $55 to detail a car and $70 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $750?
A: 55c+70x [tex]\leq[/tex] 750
B: 55c+70x > 750
C: 55c+70x [tex]\geq[/tex] 750
D: 55c+70x < 750

Answers

Answer 1

Answer:

C, 55c + 70x  ≥ 750

Step-by-step explanation:

He needs a minimum of $750.

Answer 2

The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that,

Number of cars = c

Number of SUVs = x

Amount paid for detailed car = $55

Amount paid for detailed SUV = $70

Cost of coolest cellphone = $750

The inequality for the given data will be written as below,

(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone

55c + 70x ≤ 750

Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.

Learn more about inequality:

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Related Questions

A store purchases an item wholesale for $60 and marks it up by 70 percent. If there is a 7 percent tax on the item, how much will the item cost?

Answers

Answer:

$106.20

Step-by-step explanation:

60x70%=42

60x7%=4.2

60+46.2

Answer:

b

Step-by-step explanation:

As you walk to your car, you notice that your tire is nearly flat! The initial psi level yesterday was 40 but it is now only 38 today. If this trend continues and the tire keeps losing the same percentage of air, how much should be left at the end of the week rounded to 1 decimal? (7 days later)

Answers

Answer:

Step-by-step explanation:

Given that:

Initial psi yesterday = 40 psi

psi today = 38 psi

If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week

1 week ( 7days)

Total loss after 7 days = (amount lost per day * number of days)

Total psi lost per day= [(40 - 38) = 2

% psi lost = (2/40) * 100

= 5%

Applying the exponential loss functin:

A = I ( 1 - r)^t

t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount

A = 40(1 - 0.05)^7

A = 40(0.95)^7

A = 40 * 0.69833729609375

A = 27.933

A = 27.9 psi

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth. 1.Which line represents the distance traveled by Noah, and which line represents the distance traveled by Diego? Label each line with one name.​

Answers

Answer:

the blue line

Step-by-step explanation:

Answer:

Step-by-step explanation:himxbe

Which of them is correct? I'm like, slow right now.

Answers

Answer:

c

Step-by-step explanation:

.

.

.

.

.

.

.

.

................

Answer:

its the one you have clicked in the pic E

Step-by-step explanation:

Use the distributive property to write an equivalent expression.

8(4t + 9)

Answers

Answer:

32t+72

Step-by-step explanation:

15+3x=45 I'm sorry but there will be a lot of questions I need to ask. But can someone help me with this one too?

Answers

Hey :)

x= 10

Subtract 15 from both sides
3x=45−15


Subtract 15 from 45 to get 30
3x=30

Divide both sides by 3.
x= 3/30


Divide 30 by 3 to get 10
x=10


Hope this helps :)

Answer:

x=10

Step-by-step explanation:

15+3x=45

-15        -15 *first subtract 15 from both sides

3x=30       * then divide by 3 on both sides to get x by itself

/3     /3

x=10

theres ur answer :D

Which of the following is an example of a rational number that is not an integer?

Answers

Uh what is the followijg LOL LEL

PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)

You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?

Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD



$138.04




$118.42




$128.36

Answers

The Anwser is $128.32.

The difference of twice a number and 3 is at most -21

Answers

Answer:

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

a lab uses negative numbers to describe a car moving backward on a road if the car was at -75.5 feet ,went forward 23 feet and then forward again 14.5 feet where is the car now

Answers

Did you that that God loves you and wants the best for you

What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 4x - y = 12

Answers

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

Please help! Will give brainliest!

Answers

Answer:

D.5

Step-by-step explanation:

4*5=20

8*5=40

12*5=60

..etc

brainliest?

HELP HELP HELP PLS Does it matter which way you subtract the values when you are finding the distance between two numbers on a number line .Give example to support your answer please answer in complete sentence please it's about to be due.

Answers

Answer:

Yes, it matters which way you subtract values because if you subtract a larger number from a smaller number you will get a negative nummber, but when you subtract the smaller number from the bigger number you get a positive number

ex: 5-6= -1 but 6-5=1

Step-by-step explanation:

Is the relation a function? And why
A)No
B)Yes

Answers

No I think pls tell me if I’m right
The answer is no


Good luck

Evaluate a2-b for a = 8 and b = 17.
The value of the expression is

Answers

Answer:

-1

Step-by-step explanation:

Assumuning your asking what a2-b is.

8(2) - 17

-1

Answer:

-1

Step-by-step explanation:

If A= 8 and B= 17...

8(2)-17

16-17

-1

Which equation has solution x = -3?


A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6

Answers

Answer:

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer: x = -3

I believe the answer is D

Evaluate the following algebraic expression for the given value of the variable ​

Answers

Answer:

[tex]\boxed{8}[/tex]

Step-by-step explanation:

-Solve the following expression when [tex]x = 4[/tex]:

[tex]\frac{5x + 12}{4}[/tex]

-Apply the value of [tex]x[/tex] onto the equation:

[tex]\frac{5x + 12}{4}[/tex]

[tex]\frac{5(4)+ 12}{4}[/tex]

-Multiply both the [tex]5[/tex] and [tex]4[/tex]:

[tex]\frac{5(4)+ 12}{4}[/tex]

[tex]\frac{20+ 12}{4}[/tex]

-Add both [tex]20[/tex] and [tex]12[/tex]:

[tex]\frac{20+ 12}{4}[/tex]

[tex]\frac{32}{4}[/tex]

-Divide [tex]32[/tex] by [tex]4[/tex]:

[tex]\frac{32}{4}[/tex]

[tex]\boxed{8}[/tex]

So, therefore, the final answer is [tex]8[/tex].

Answer:

Step-by-step explanation:

My answer is 8!!!

If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.

A negative number is raised to an even exponent. The result is
zero
one
O positive
negative

Answers

Answer:

positive I guess that's the answer

Answer:

positive

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

1) B

2) A

Step-by-step explanation:

B because we use pemdes and for 2 they answers are both equivalent

Answer:

1) B. Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

To answer Part B, we have to answer to equation.

Step 1- Add x to both sides of the equation.

4x+2= 6-x

+x         +x

5x+2= 6

Step 2- Subtract 2 to both sides of the equation.

5x+2= 6

   -2   -2

5x= 4

Step 3- Divide 5 to both sides of the equation.

5x= 4

5    5

This gives us 4/5 or 0.80.

So, the answer is yes to Part B.

Hope this helps!


Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
- 69." What is Peter's number?

Answers

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

Identify a pair of alternate exterior angles.
a. 6 and 8
b. 2 and 7
c. 3 and 6
d. 3 and 2

Answers

3 and 6 is the pair of alternate exterior angles

Write all prime numbers between 15 and 20

Answers

Answer:

17 and 19

Step-by-step explanation:

Answer:

17, 19

Step-by-step explanation:

15 is composite (5, 3) (15, 1)

16 is composite (8, 2) (4, 4) (16, 1)

17 is prime (17, 1)

18 is composite (9, 2) (6, 3) (18, 1)

19 is prime (19, 1)

20 is composite (2, 10) (4, 5) (20, 1)

Perform the indicated operation.

(-7) · (-5)

-12
-35
12
35

Answers

35, because two negatives when multiplied is equal to a positive

 A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. NEEED HELP PLZ :(

A 3x + 82 = 22
B 3x + 22 = 82
C 3x − 22 = 82
D 3x − 82 = 22

Answers

B.3x+22=82 is the correct answer

Answer:

I think option 2 is correct

3x+22=82

Hope u like it

x + (2x + 40) + (3x – 50) = 15,002

Answers

Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?

Answers

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

If NK = 23, what is the value of x?

Answers

X = 13 because if NK = 23 that means the equation is x-6+9+2x-19 = 23 then you subtract 9 from each side of the equals sign and add the x’s together than add -6 to -19 and get a equation of 3x-25 = 14 then add 25 to each side and get 3x = 39 the divided 39 by 3 and get x = 13

A factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
O 60 doughnuts a minute
O 58 doughnuts a minute
O 56 doughnuts a minute
50 doughnuts a minute

Answers

Answer:

60 doughnut per mintute

Step-by-step explanation:

This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.

Lindy Landscaping Gardens
A line graph titled Lindy Landscaping Gardens has tulips on the x-axis, and Daffodils on the y-axis. There is 1 tulip for every 2 daffodils.


What is the constant of proportionality?
0.2
0.5
2
5

Answers

Answer: 2

Step-by-step explanation: I saw the answer somewhere else. Just wanted to tell you. I got it right on the test I think I was doing.

Answer:

2

Step-by-step explanation:

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