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
Brilliant_brown [7]
3 years ago
15

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w

ork no more then 19 total hours and must earn at least $170. If Jacob worked 4 hours landscaping, determine the minimum number of whole hours washing cars he must work to meet his requirements.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer:

Jacob should work minimum of 14 hours washings cars to meet his requirement.

Step-by-step explanation:

Let the number of hours of washing cars be 'x'.

Let the number of hours of landscaping be 'y'.

Given:

Cost for Per hour for washing cars = $10

Cost for per hour Landscaping = $8

Total number of hours of working \leq 19

Amount to be earned this weekend \geq \$170

So we can say that;

x+y\leq 19

Also,

Amount to be earned this weekend should be greater than or equal to sum of Cost for Per hour for washing cars multiplied by number of hours of washing cars and Cost for per hour Landscaping multiplied by number of hours of landscaping.

framing in equation form we get;

10x+8y\geq  170

Now Number of hours he worked for landscaping y=4

So we get;

10x+8\times4\geq 170\\\\10x+32\geq 170

Subtracting both side by 32 we get;

10x+32-32\geq 170-32\\\\10x\geq 138

Dividing both side by 10.

\frac{10x}{10}\geq \frac{138}{10}\\\\x\geq 13.8

Hence Jacob should work minimum of 14 hours washings cars to meet his requirement.

You might be interested in
Y=x+2<br> 3x+3y=6<br> solving systems by substitution
motikmotik

Answer:6

Step-by-step explanation:Reorder

2

2

and

−

x

-

x

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

y

=

6

3

x

+

3

y

=

6

Replace all occurrences of

y

y

in

3

x

+

3

y

=

6

3

x

+

3

y

=

6

with

−

x

+

2

-

x

+

2

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

(

−

x

+

2

)

=

6

3

x

+

3

(

-

x

+

2

)

=

6

Simplify

3

x

+

3

(

−

x

+

2

)

3

x

+

3

(

-

x

+

2

)

.

Tap for more steps...

y

=

−

x

+

2

y

=

-

x

+

2

6

=

6

6

=

6

Since

6

=

6

6

=

6

, the equation will always be true.

y

=

−

x

+

2

y

=

-

x

+

2

Always true

Remove any equations from the system that are always true.

y

=

−

x

+

2

6 0
3 years ago
Express the number in scientific notation. 780,000,000
Aloiza [94]
Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.

In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.

7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.

The final number looks like this:

7.8 * 10^8

780,000,000 in scientific notation is <span>7.8 * 10^8
Hope that helped =)</span>
4 0
3 years ago
Read 2 more answers
Evaluate for x=4 and y=-3 write in simplest form<br> 2y/x2
lorasvet [3.4K]

Hello from MrBillDoesMath!

Answer:

I think your formula  (2y/x2) is equivalent to

(2*y)/(x^2)      where x^2 means x-squared.

If so, then

(2*y)/(x^2) = (2*3)/(4*4) = 6/16 = 3/8

Thank you,

MrB

7 0
3 years ago
$1.5 x 10^13 in decimal
inna [77]
The answer is 15,000,000,000,000
8 0
3 years ago
8/20 in a decimal and percentage?
Georgia [21]

Answer: 40% and 0.4

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • For f(x) = 0.02(2)^x find the average rate of change from x= 3 to x= 8
    7·1 answer
  • NEED HELP WITH A MATH QUESTION
    7·1 answer
  • Which solid has a volume that is 1/3 the volume of a cylinder? A) B) C) D)
    8·1 answer
  • What is the #1 rule of inequalities that<br> makes them different than equations?
    15·1 answer
  • Someone plz help me I will give brainliest
    6·2 answers
  • What fraction is equivalent to 18%
    6·1 answer
  • How do you solve the problem 2247 divided by 7?
    11·2 answers
  • Solve for x to the nearest tenth.<br> х<br> 3<br> 7<br> 3<br> 20 POINTS
    6·1 answer
  • Identify the type of function graphed to the right.
    14·1 answer
  • If the slope is 6 and the point is (4,-7), point-slope form is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!