The expression 8x + 12y represents the sum of Harry's and Lloyd's total wages, where x represents the number of hours Harry worked and y represents the number of hours Lloyd worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?

Answers

Answer 1

Answer:

The rewritten is x + 1.5y.

It can be concluded that Lloyd earns $0.5 per hour more than Harry.

Step-by-step explanation:

Given;

8x + 12y

The expression can be rewritten by dividing it through by 8 as follows:

(8 / 8)x + (12 / 8)y = x + 1.5y

Therefore, the expression can be rewritten as x + 1.5y.

Since x represents the number of hours Harry worked and y represents the number of hours Lloyd worked, the new expression implies that Harry earns $1 per hour while and Lloyd earns $1.5 per hour. Therefore, it can be concluded that Lloyd earns $0.5 per hour more than Harry.


Related Questions

Find the perimeter of a 35° slice of pizza that has a radius of 8 inches.

Answers

9514 1404 393

Answer:

  20.9 inches

Step-by-step explanation:

The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.

  P = r + r + rα . . . . . where α is the central angle in radians

35° is (35°/180°)π radians, about 0.6109 radians

Then the perimeter is ...

 P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in

The perimeter of the slice is about 20.9 inches.

A and b are two cyclinders that are mathematically similar. The area of the cross section of cyclinder A is 18cm^2 work out the volume of cyclinder b

Answers

Answer:

THE VOLUME IS 36 CM2, its pretty easy

Step-by-step explanation:

Answer:

720cm^3

you have to use cubed on mathswatch not( ^ )or you will not get he point

In Mr. Romero's auto shop class, the ratio
of boys to girls is 5:2. If there are 35 students
in the class, how many are boys?

Answers

Answer:

boys 5:2 girls

add the ratio parts together

5 + 2 = 7

divide the total number of students by the total number of parts

35/7 = 5

now multiply each part of the ratio by 5

boys 25

girls 10

there are 25 boys

State if the three numbers can be the measures of the sides of a triangle. Show your work
1) 7,2,6
2) 11,2,11

Answers

Answer: 2

Step-by-step explanation:

Answer is 2 (11,2,11)

Choose the best method to solve the system of linear equations. Then choose a reason to justify your answer choice. x−3y=6 x−3y=−3

Answers

Answer:

No solution.

Step-by-step explanation:

The given equations are :

x−3y=6 ...(1)

x−3y=−3 ...(2)

We need to solve the above equations.

The above two lines are parallel. Forparallel lines,

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}[/tex]

Here,

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}[/tex]

It means, the above equations have no solution.

What is the slope of the line graphed on the coordinate plane?
Put your answer in the box

Answers

Answer:

-8

Step-by-step explanation:

As we know, slope is rise over run. We count up and over until we get to the next dot. To get to the next dot, we count 8 up and -1 over (since we go to the left, not the right). We can put this in a fraction (rise/run). That gets us 8/-1, which can be simplified to -8.

a triangle has the side lengths of 7.5 and 4.8, what is the range of lengths for the third side

Answers

Answer:

2.7 < x 12.3

Step-by-step explanation:

using triangle inequality theorem:

(3 scenarios, discount the one that produce a negative)

4.8 + 7.5 > x        x < 12.3

4.8 + x > 7.5        x > 2.7

7.5 + x > 4.8    (discount)

Papa John's sold 236 pizzas last night. The manager wants to give the workers a prize if they can increase the number of pizzas sold by 24%. How many pizzas do they need to sell to get the prize? (Remember if there is a decimal to round up to the next whole number so 13.2 would become 14)

Answers

11 cheese pizzas and 43 pepperoni pizzas

Answer:

You need to increase the amount of pizza sold by 24%, you can do it one of two ways:

236*0.24 = 56.64 and then do 236 + 56.64 = 292.64

(this way you find out what 24% of 236 is and then add it to 236 to get an increase of 24% )

or you can do this:

236 *1.24 = 292.64

(this way you're finding out what 124% of 236 is. I find this way easier because there's less steps. it works because you're still finding out what 24% is, you're just keeping the 236 there)

either way they need to sell 293 pizza's to get the prize

Step-by-step explanation:

i hope this helps :)

can you help me with my stem and leaf question?

Answers

Answer:

Step-by-step explanation:

Given data set is 3, 8, 12, 12, 14, 20, 21, 23, 26, 34.

So the stem and leaf set will be,

0 |   3    8

1  |   2    2   4

2 |   0    1    3   6  

3 |   4

Key :

1 | 4 means 14

if there were 27600 people in the city Raleigh north Carolina about how much ice cream might they have been expected to consum

Answers

Answer:

27600

Step-by-step explanation:

one for one person

I NEED HELP ASAP
Clara is playing a board game. The game has five cards with a different shape on each card. When a player draws a card, they go to the next spot on the board that has the shape shown on the card. The cards are shown below.

Complete the table by matching the number of trials and the expected frequency for each shape.

Answers

Answer: See the attached image below

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

Explanation:

The problem doesn't state this, but I'm assuming we have the same amount of each type of card. For instance, we could have 10 of each card.

The probability of getting any one type is 1/5 = 0.2 since there's one type we're after out of 5 shapes total. If we had 10 of each card, then the probability of getting a diamond is 10/50 = 1/5 = 0.2; note how there are 5*10 = 50 cards total.

If we expect 50 diamonds, then this must mean that 50/0.2 = 250 trials were conducted. You have the correct answer for the first box.

If we do 200 trials, then we expect (1/5)*200 = 40 cards would be a pentagon card. That explains row 2.

If we do 150 trials, then we expect (1/5)*150 = 30 star cards. The value 30 goes in the second box.

The value 300 goes in the third box. We find this by computing 60/0.2, or we can multiply 5 by 60. Note how (1/5)*300 = 60.

Lastly, if we conduct 50 trials, then we expect 10 circle cards because (1/5)*50 = 10.

Side note: the values 100 and 20 are not used.

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
the point whose coordinates are
A. (2,-2)
B. (5, -1)
C. (1,3)
D. (2,2)

Answers

Solve by Substitution
D. X=2 Y=2.

3. Angle g and angle h are:

A. adjacent
B. congruent
C. complementary
D. vertical

Answers

Answer is A: Adjacent

Answer: Adjacent angle you can look it up you know that right

Which expression is equivalent to 2(x + 7) - 2(9x - 0.4)?

A -16x + 13.2
B -16x + 14.8
C -16x + 14.8
D -16x + 14.8

Answers

Answer:

-16x+14.8

Step-by-step explanation:

2(x+7)-2(9x-0.4)

2x+14-18x+0.8

-2x+14-18x+0.8

14-16x+0.8

14+0.8-16x

14.8+-16x

Which of the following are composite numbers check all that are true

Answers

Answer:

33, 49, and 21.

Step-by-step explanation:

its 33, 49, and 21

hope this helps

Which sentence best describes the equation: z = 18 + 96

Answers

Answer:

A

Step-by-step explanation:

Z is the same as the answer to the equation so if you add 18 and 96 together you will get z

also sum means adding

Answer: a

Step-by-step explanation:

the answer has addition and it says 18+96=z so i believe that theyre trying to say that whatever you add is gonna equal z so i believe the correct answer is a (:

Susan is making a large batch of salsa.
She can spend no more than $30 on ingredients. She buys all ingredients except for tomatoes for $6.50. Tomatoes cost $2 per pound.
How many pounds of tomatoes,x, can she buy?

INEQUALITY THAT REPRESENTS THIS SITUATION
30>= 6.50+2x​

Answers

Answer:

She can buy 0 to 11.75 pounds of tomatoes.

Step-by-step explanation:

Consider the provided information.

It is given that Susan can spend no more than $30 on ingredients. She buys all ingredients except for tomatoes for $6.50. Tomatoes cost $2 per pound.

It means she can only spend less than or equal to $30. Let x be the pounds of tomatoes she can buy.

So, the required inequality should be:

[tex]30\leq 6.50+2x[/tex]

Now simplify the inequality.

[tex]30-6.50\leq 2x[/tex]

[tex]23.5 \leq 2x[/tex]

[tex]11.75\leq x[/tex]

Hence, she can buy 0 to 11.75 pounds of tomatoes.

I have nothing good to offer, but please help!

What is true about all the points on the y-axis in Quadrant 1?

(Look at picture for details)

Answers

does the question have a photo attached on your screen because it sounds like the image you included is not completed

write a word problem with

x+2.5=127.5

Answers

Answer:

Daniel saved $127.50 for a guitar. His younger brother took $2.50 from him. How much money does he have left (x)? Solve for x.

Step-by-step explanation:

hope that helped :)

During babysitting, she gained a total of x amount of money. Afterwards, she went to the park to sell some lemonade and gained a total of $2.5. She ended up with a total of $127.5 at the end of the day. How much money did she have before she sold lemonade?

Z + y + 0 = z + y equals to what?

Answers

Answer:

y=0/0

Step-by-step explanation:

Step 1: Add -y to both sides.

y+z+−y=y+z+−y

z=z

Step 2: Add -z to both sides.

z+−z=z+−z

0=0

Step 3: Divide both sides by 0.

0/0=0/0

y=0/0

Plz help i am confusion

Answers

Answer:

NO solution , the -17y at both sides will cancel ,so no variable left

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-17(y-2)=-17y+64

-17y+34=-17y+64

34=64

therefore

y€∅

Please help im running out of time

Answers

Answer:

B

Angle on a straight line is 180 degrees. Angle ABC is 90. You're given angle FBE as 47. So, it is 180-(90+47)= 43. That's the angle ABF.

Noah ran 2 1/2 miles in 3/5 hour. How far does he run in 1 hour?

Answers

Step-by-step explanation:

0.6 hours = 2.5 miles

=> 1 hour = 2.5 miles * (1/0.6) = 4.16 miles.

Hence Noan runs 4.16 miles in 1 hour.

(or 25/6 miles)

Factor the expression.
49.12
- 16
O A
(4x + 7)(4x - 7)
B. (7x + 4)(7x-4)
C. (7x-4)(7x-4)
OD. (4x-7)(4x - 7)

Answers

Step-by-step explanation:

Difference of squares: A² - B² = (A + B)(A - B).

Therefore 49x² - 16 = (7x)² - (4)² = (7x + 4)(7x - 4).

The correct answer is Option B.

Answer is B. Hope this helps :)

Melissa had d dollars. She earned 5 more dollars babysitting

Answers

Answer:

D + 5

Step-by-step explanation:

Is this is an expression you have to write the answer would be d + 5

A bag of rice lasted 7 days for 77 children how long will it last for 11 children​

Answers

1 day

You have to divide 77 to 7. It will be 11. That's why its 1 day...

a grcery store display has 60 oranges and 18apples. what is the ratio of oranges to apples


Answers

Answer:

60:18

Step-by-step explanation:

The ratio of oranges to apples is 10/3
Put the number of oranges as the numerator and the number of apples as the denominator 60/18 then divide the numerator and the denominator by a common factor I did 6 so 60 divided by 6 is 10 and 18 divided by 6 is 3 and that equals to 10/3 hope this helped :)

Answer me nowwwww pleaseee

Answers

Answer:

Surface currents probably

Step-by-step explanation:

The ordered pair (2,-5) is a solution to which of the following systems of equations

Answers

Answer:

The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.

The solution is the point

(

6

,

11

)

Explanation:

We solve the set of two equations as simultaneous equations.

Call this Equation 1:

y

=

2

x

+

1

Call this Equation 2:

y

=

x

5

Rearrange Equation 2 to make

x

the subject:

x

=

y

+

5

Substitute this value of

x

into Equation 1:

y

=

2

(

y

+

5

)

+

1

=

2

y

+

10

+

1

=

2

y

+

11

Rearranging:

y

=

11

y

=

11

We can substitute this into either equation to find the value of

x

:

x

=

6

That means the intersection of the lines is at the point

(

6

,

11

)

.

Step-by-step explanation:

Help me!!!!!!! What are the inequalities number 7-8

Answers

(1/2) > (1/3) > (1/5)

0.1 < 0.15 < 0.2
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