Sophie and Marcos are each saving for new bicycles. So far,
Sophie has $10 saved and can earn $5 per hour walking
dogs. Marcos has $4 saved and can earn $8 per hour at his
family’s nursery.
a. Write an equation for each individual.
b. After how many hours of work will Sophie and Marcos
have saved the same amount?
c. What will that amount be?

Answers

Answer 1

a.   Sophie's equation: 10+5a=b

Marcos' equation: 4+8a=b

a=number of hours  b=total needed for bike

b.   a=2 for their totals to be the same.

c.   b=20 for their totals to be the same.

work:

10+5(2) > 10+10 > 20

4+8(2) > 4+16 > 20


Related Questions

position to term rule of 2, 6, 10, 14, 18

multiply by _____ and subtract by _____

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

compute the differences of all the adjacent terms

[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]

The difference between all the adjacent terms is the same.

Thus,

[tex]d=4[/tex]

and

[tex]a_1=2[/tex]

Therefore, the nth term is computed by:

[tex]a_n=4\left(n-1\right)+2[/tex]

[tex]a_n=4n-2[/tex]

Thus, position to term rule of 2, 6, 10, 14, 18  multiply by __4___ and subtract by __2__.

4y+(-2e)+6x

x=98

e=36

y=14
Please help me

Answers

Answer:

572

Step-by-step explanation:

4y + (-2e) + 6x

4(14) + (-2(36)) + 6(98)

56 - 72 + 588

-16 + 588

572



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

ddddd

Step-by-step explanation:

D SORRY IF IM WRONG

If 12 oranges cost 5.04 how much does 1 orange cost

Answers

$0.42 I think that is the answer

Drag each figure to show if it is similar to the figure shown or why it is not similar.

Answers

Answer:

Step-by-step explanation:

Similar figures have the same shape but the same size.

Moving from left to right:

The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.

The second figure is not similar because of shape

The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7

The fourth figure is similar because it is rotated

The fifth figure is not similar because of shape

The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7

Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?

Answers

Answer:

26 flower arrangements

Step-by-step explanation:

14 times $17 equals $238

$576 - $238 = $338

$338/13 = 26 flower arrangements

Solving systems by elimination: Abbie bought a combination of streamers and balloons for a birthday party. The number of balloons, y, was three less than two times the amount of streamers perchased, x,. If Abbie bought a combination of 9 balloons and streamers, what system of equations can represent the situation?

Answers

Answer:

the two equations you can use are

y = 2x - 3

y + x = 9

Can anybody help(>v<)

Answers

Answer:

-7/10, -0.2, 1/2, 0.7

Step-by-step explanation:

Plzz have brainiest

Need help asp!!!plz


What is the output of the function y = 2" + 4 if the input is -2?

Answers

Answer:

Step-by-step explanation:

4(s + 50) 52 +30s + 200

SOLVE. |y - z| when y=7, z= 11


please help I am super confused and im in the middle of the test

Answers

Answer:

[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]

Complete the equation so that it has the indicated number of solutions.

One integer solution: 3x - 3 = ___x + 11

Group of answer choices

7

5

3

6

Answers

6 Winston I got the addy and

Gabrielle is 8 years older than Mikhail. The sum of their ages is 58. What is Mikhail's age?

Answers

Answer:

Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50

Step-by-step explanation:

About 3% of the population has a particular genetic mutation. 200 people are randomly selected. Find the mean for the number of people with genetic mutation in such groups of 200?

Answers

Answer:

6

Step-by-step explanation:

200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.

solve using elimination 3x-3y=-2, -6x+6y=4 (please show your work if possible)

Answers

Sorry my handwriting is a little messy but I hope this helps!!

There are 120 bouncy balls in a display bin. Of the bouncy balls in the bin, one-half are priced at $0.25 each, one-fifth are priced at $0.75, and the remaining bouncy balls are priced at $1.50. What is the total value of the bouncy balls in the bin? Write a numerical expression that can be used to solve the problem. Then solve it.

Answers

Answer:

$87

Step-by-step explanation:

Total bouncy balls = 120

one-half are priced at $0.25 each

1/2 of 120

= 1/2 × 120

= 120/2

= 60

Price of 1/2 = 60 × $0.25

= $15

one-fifth are priced at $0.75

1/5 of 120

= 1/5 × 120

= 120/5

= 24

Price of 1/5 = 24 × $0.75

= $18

Remaining bouncy balls = 120 - 60 - 24

= 36

Price of remaining balls = 36 × $1.50

= $54

Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls

= $15 + $18 + $54

= $87

Round 79.045 to the nearest tenth

Answers

Answer:79.50

Step-by-step explanation:

79.0 because the number in the hundredths is less than 5

Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?

Answers

Answer:

Step-by-step explanation:

20

HELP!!!! Please help me!!!

Answers

Answer:

The answer you have checked is the correct one.

Mr. Zahbor has a balance on his credit card of $212.45. He writes a check for $165.45. After he has paid, how much more will he need to pay to have a zero balance?

Answers

Answer:

$47

Step-by-step explanation:

find the slope and Y intercept for each equation y=2x -4

Answers

The y intercept is -4 and the slope is 2

slope = ( -2)

Y intercept = 10

Just some simple fraction problems, I am stuck on this though.

Answers

Answer:

5 1/6 ÷ 4 2/3 = 31/28

3 3/4 ÷ 1 2/8 = 3

4 2/4 ÷ 2 1/4 = 2

5 2/5 ÷ 1 4/5 = 3

4 2/8 ÷ 3 2/4 = 17/4

3 3/9 ÷ 2 4/12 = 10/7

7 1/2 ÷ 3 3/5 = 25/12

6 2/8 ÷ 3 1/3 = 15/8

Explanation:

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14

How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm

Answers

December 18th to 24th is 6 days! And 8:25am to 4:30 pm is 8 hours and 5 minutes. So, in total, it’s 6 days, 8 hours, and 5 minutes.

solve for x.


2/3x = 10

Answers

Answer:

x=15

Step-by-step explanation:

2/3x = 10

To find x divide both sides by 2/3.

2/3x÷2/3 = 10÷2/3

x=15

Easy!! :3

Answer~

x = 15

Steps~

(2/3)*x = 10 // - 10

(2/3)*x-10 = 0

2/3*x-10 = 0 // + 10

2/3*x = 10 // : 2/3

x = 10/2/3

x = 15

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

Hope i helped!!

Have a great day!!

( `w`)``

Merida wrote the table of points below. Which explains whether or not Merida has described a proportional relationship, and why?

Answers

Answer:

B

Step-by-step explanation:

When graphed, it doesnt not pass through the origin, but it is completely staight/linear.

Answer:

d

Step-by-step explanation:

Yo can I get some help on this question please

Answers

Answer:

x=16

Step-by-step explanation:

x+15=6x-65

x+80=6x

80=5x

16=x

hope this helps :P

Ittt should be X=16

Find the solution of the system of equations shown on the graph.

Answers

Answer:

(7,-6)

Step-by-step explanation:

The solution of the systems of equations is the point where the lines intersect. So just looking at the graph, you can see that the point (7,-6) is where the two lines intersect.

Hope this helps! :)

WILL GIVE BRAINLIEST!!

1yd 1ft = _____yd

A. 1 1/12

B. 1 1/2

C. 1 1/6

D. 1 1/3

Answers

Answer:

B

Step-by-step explanation:

1 yard and 1 foot = 1 1/2

BRAINLIEST PLEASE

At an aunt's wedding , Nicolas collected data about an ice sculpture that was about to completely melt . A graph of his data is shown at right . a . Write an equation for a line of best fit . What are the units for the slope and y-intercept in the equation ? b Based on your equation , how tall was the ice sculpture one hour before Nicolas started measuring ?

Answers

Answer:

Step-by-step explanation:

From the scatter plot given in the attachment,

a). Line of best fit will pass through two points (0, 10) and (4, 0)

   Let the equation of the line is,

   y = mx + b

   m = slope of the line

   b = y-intercept

   Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]

   m = -2.5 inches per hour

   y-intercept = 10 inches

   Therefore, equation of the line will be, y = -2.5x + 10

b). Since, Nicolas started measuring the height of the ice sculpture at x = 0

    One hour before the start of the observations means x = (0 - 1) = -1

    From the given equation,

    y = -2.5(-1) + 10

       = 2.5 + 10

       = 12.5 inch

If m∠2=48°, what is the m∠5?

Answers

Answer:

132º

Step-by-step explanation:

We can see from the image that 2 is vertical angles with 4, making 4 48º.

Because angle 4 is consecutive interior angles with angle 5, they add up to 180.

180-48=132º

Divide. Give the quotient and remainder.
2831 divided by 25

Answers

Answer:

113 R 6

Step-by-step explanation:

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