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dlinn [17]
3 years ago
7

Divide. Write the quotient in lowest terms. 2 3/4 divided by 3

Mathematics
1 answer:
miskamm [114]3 years ago
5 0
0.92 is the answer because you round the decimal 0.91666666666 to 0.92
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Solve the system by substitution<br> -x - y - z= -8<br> -4x + 4y + 5z = 7<br> 2x + 2z = 4
Stella [2.4K]

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

-x - y - z=  -8

-(2-z)-y-z= -8         replace x

-2+z-y-z= -8          (cancel z)

-2-y= -8

6 = y

Then:

-4x + 4y + 5z = 7  replace x and y

-4(2-z)+4*6 + 5z = 7

-8 + 4z + 24 + 5z = 7

16 + 9z = 7

9z = 7 - 16

9z = -9

z = -9/9

z= -1

Finally

x= 2-z  replace z

x = 2- (-1)

x = 3

5 0
3 years ago
A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Fi
Annette [7]
Let c and n represent the numbers of pencil and pen boxes, respectively
.. 3c +2n = 6.00
.. 2c +4n = 8.00

You can halve the second equation and subtract it from the first to get
.. (3c +2n) -(c +2n) = 6.00 -4.00
.. 2c = 2.00
.. c = 1.00

Then
.. 1.00 +2n = 4.00 . . . . . half the original second equation with c filled n
.. 2n = 3.00
.. n = 1.50

A box of pencils costs $1.00; a box of pens costs $1.50.
8 0
3 years ago
Read 2 more answers
Find the missing length indicated?
kondor19780726 [428]

Answer:

D. 15

Step-by-step explanation:

Let the missing length be represented as x.

Thus:

(24 - x)/12 = x/20 => angle bisector theorem

Cross multiply

20(24 - x) = x(12)

480 - 20x = 12x

480 - 20x + 20x = 12x + 20x

480 = 32x

480/32 = 32x/32

15 = x

Missing length = x = 15

6 0
2 years ago
HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
2 years ago
PLEASE HELP ME I DONT WANT TO FAIL
Ksenya-84 [330]

Answer:

294

Step-by-step explanation:

6 0
3 years ago
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