1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldier1979 [14.2K]
3 years ago
6

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of

money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

You might be interested in
Can someone please help me and explain I’ll mark brainliest
malfutka [58]

Part (a)

<h3>Answer:   x = -8</h3>

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

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

<h3>Answer:  x = 5/11</h3>

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

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

6 0
3 years ago
Name two streets that intersect but do not appear<br> to be perpendicular.
d1i1m1o1n [39]
Maple and oak street
7 0
3 years ago
PLEASE I REALLY NEED HELP WITH THIS!
Gekata [30.6K]

Answer:

See answers below

Step-by-step explanation:

Problem 1)

Conditional: If two angles are supplementary, then their sum is 180 degrees

Truth value: True

Converse: If the sum of two angles is 180 degrees then the two angles are supplementary.

Truth value:  True

Problem 2)

Conditional: If x^2=36 then x=6

Truth value: False

Converse: If x=6 then  x^2=36

Truth value: True

For the False, notice that having x^2=36, doesn't necessarily imply that x=6, since x=-6 would also render 36 when squared.

7 0
4 years ago
Mr. Jackson traveled to a city 170 miles from his home to attend a meeting. Due to car trouble, his average speed returning was
Umnica [9.8K]

Answer: the average speed at which he traveled to the city is 52.9 mph

Step-by-step explanation:

Let x represent the average speed at which he traveled to the city. Due to car trouble, his average speed returning was 8mph less than his speed going. It means that the speed at which he returned is (x - 8) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same(170 miles), then

Time spent in travelling to the city is

170/x

Time spent in travelling back from the city is

170/(x - 8)

If the total time for the round trip was 7 hours, it means that

170/x + 170/(x - 8) = 7

Multiplying both sides of the equation by x(x - 8), it becomes

170(x - 8) + 170x = 7x(x - 8)

170x - 1360 + 170x = 7x² - 56x

7x² - 56x - 170x - 170x + 1360 = 0

7x² - 396x + 1360 = 0

Applying the general formula for solving quadratic equations which is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 7

b = - 396

c = 1360

Therefore,

x = [- - 396 ± √(- 396² - 4 × 7 × 1360)]/2 × 7

x = [396 ± √(156816 - 38080)]/14

x = [396 ± √118736]/14

x = (396 + 344.58)/14 or x = (396 - 344.58)/14

x = 52.9 or 3.7

Checking both values of x,

For x = 52.9

170/52.9 + 170/(52.9 - 8) = 7

= 3.2 + 3.8 = 7

Therefore, x = 52.9 mph

4 0
3 years ago
I really need help so i need you to help me with my homework so I can bring it back on Friday and it is done so I can get a grad
Yuri [45]
So what's the homework?
8 0
3 years ago
Other questions:
  • Jeremiah Holmes
    9·1 answer
  • Which problem could the bar diagram represent?
    10·1 answer
  • a cars wheels are 28 inches in diameter. how far in miles will the car travel if its wheels revolve 10000 times?
    7·1 answer
  • Jonathan took a 35 questions test and
    15·2 answers
  • The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
    13·1 answer
  • What is 3.50 as a fraction an d improper fraction
    15·2 answers
  • What expressions are equal to 16.04
    12·1 answer
  • Joel has been offered sales positions at two different companies. Alphaco offers an annual salary of $65,000. OmegaCo offers an
    8·1 answer
  • Help ASAP will give brainlist
    7·1 answer
  • How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!