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alina1380 [7]
3 years ago
14

Shannon graphed the system of equations.

Mathematics
2 answers:
Kamila [148]3 years ago
6 0

we have

7x - 4y= -8 -------> equation 1

y = x - 3 -------> equation 2

Multiply the equation 2 by  4

4y = 4x - 12 -------> equation 3

Add equation equation 1 and equation 3

7x - 4y= -8\\4y = 4x - 12\\ -------\\7x=4x-20\\ 3x=-20\\ x=- \frac{20}{3}

Find the value of y

y = x - 3

y = - \frac{20}{3} - 3\\\\y = - \frac{29}{3}

the solution is the point (-20/3,-29/3)----> (-6.67,-9.67)

using a graph tool

see the attached figure

therefore

<u>the answer is the option</u>

(–5, –7.2)

ehidna [41]3 years ago
3 0
All you need to do is plug -5 into the second equation and you see it is near (-5, -8). When plugged into the top, you get (-5, -27/4) which comes out to ABOUT -6.75 for the Y value. The closest is actually a tie. The first option is .8 from the first and .45 from the second leading in a total distance of 1.25. The second, which is the fellow answer, is 1.2 from the first and .05 from the second, leading to 1.25 away.

The third, which is next closest is 1.8 from the first and .55 from the second leading to a distance of over 2 from the optimal, so only the first two are answers.
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Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons
GaryK [48]

Complete question:

Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6

-(-6)(-1) = 6 [incorrect]

Correction:

-(-6) (-1) :

- (-6) = 6

6 (-1) = - 6

Given that reduction in materials = 13 7/10 tons per month

Monthly reduction = 13 7/10 = 137/10 tons

After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons

Change in amount of material taken to the land fill:

Initial amount - amount after 7 months

If initial amount = x

Change in amonnt = (x - 95.9) tons

8 0
3 years ago
Mentally estimate the total cost of items that have the following prices $1.85 $.98 $3.94 $9.78 and $6.18 round off the answer t
velikii [3]

the first 4 would be rounded up tot he nearest dollar and the last one rounded down to the nearest dollar

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Answer is C


7 0
3 years ago
There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many
svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

T=\frac{5!}{3!\times 2!}

T=\frac{5\times 4\times 3!}{3!\times 2}

T=10

Therefore, color patterns are possible are 10.

Option A is correct.

4 0
3 years ago
I just need number 10 .
Gnoma [55]
A mixed number ? Wouldn't you have to multiply 11 x 6 which equals 66 + 1 = 67 ? Thats how they taught me in elementary school .
5 0
3 years ago
Read 2 more answers
A theater company charges $4.50 per ticket for people of all age groups. If c represents the total number of children who bought
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Answer:

4.50c

Step-by-step explanation:

3 0
3 years ago
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