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ladessa [460]
3 years ago
8

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init

ial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? If h represents the hourly fee, which equation models this problem?
a. h + 43 = 64
b. h = 64 + 43
c. 7h + 43 = 64
d. 7h + 7 = 64
Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

  c. 7h + 43 = 64

Step-by-step explanation:

If h is the hourly fee, then 7h is the fee for renting the equipment 7 hours. That added to the initial fee of $43 gives the total charge of $64.

  7h + 43 = 64 . . . . . appropriately models the charges

___

The solution is h = (64 -43)/7 = 3. The hourly fee was $3.

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Please help!
frosja888 [35]

a. The center of the circle will be the coordinate point of the marked point inside the circle.

center: (3,-5)

The radius is the distance between the center and any point on the circle.

radius: 4 units

b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center

standard form: (x-3)²+(y+5)²=16

c. Simplify equation in standard form to get general form.

(x-3)²+(y+5)²=16

x²-6x+9+y²+10y+25=16

general form: x²+y²-6x+10y+18=0

Hope u find this useful!

7 0
4 years ago
Problem
Sergeu [11.5K]

The lengths of HJ and JK are 50 and 72 respectively.

Given: J is between H and K. the length of HJ=2x+4, JK=3x+3, and HK=22.

The line HJ and JK are  collinear then the total length is given as: HJ+JK=HK

substitute values

⇒ (2x+4)+(3x+3)=22

⇒ 5x+7=22

⇒ 5x=22-7

⇒ 5x=15

⇒ x=3

Thus, the length of HJ is (2x+4)=(2*3+4)=10

And the length of JK is (3x+3)=(3*3+3)=12

Learn more about collinear lines here: brainly.com/question/27943430

#SPJ10

8 0
2 years ago
Read 2 more answers
(See Attachment)
vesna_86 [32]
The solution would be the coordinates of (3a,a).
8 0
3 years ago
If you have a 21oz cereal and the price is 2.94 what is the unit price
just olya [345]
For 21 Oz, price is 2.94
So, for 1 Oz, it would be: 2.94 / 21 = 0.14

In short, Your Answer would be $0.14 cereal per oz.

Hope this helps!
6 0
3 years ago
Read 2 more answers
You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and
shutvik [7]

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

4 0
3 years ago
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