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3 years ago

What is the solution of the system of equations?y = –4x + 10y = –2x – 6(–22, 8)(8, –22)(–2, –2)(–2.67, 20.67)?

Mathematics

1 answer:

forsale [732]3 years ago

5 0

The solution is the second choice:
(8, -22)

_____
That is the point on the graph where the line intersect.

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£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as

Nitella [24]

Sarah has received £ 294

Solution:

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

Caroline gets twice as much as Sarah

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

Sarah gets three times as much as Gavyn

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"

From eqn 2,

$g = \frac{s}{3}$ --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

$2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294$

Thus sarah has received £ 294

7 0

3 years ago

How many tables will Mrs. Comfort need to rent if there were 32 guests?

RSB [31]

Answer:

Depends on how many people each table holds

Step-by-step explanation:

5 0

3 years ago

Please help me 30 points to whoever can do this geometry work sheet please help me I’m so tired

marissa [1.9K]

This is algebra and too blurry to see. for 12 you have
4/3x-1/2x=-5 so 8x-3x/6=-5 and 5x/6=-5 so x=-6

4 0

3 years ago

If (x + 7) is a factor of f(x), what is the value of f(-7)?

rewona [7]

Answer:

The answer is 0.

Step-by-step explanation:

Simply plug in -7 for x as they want to see what the value of the function is when x=-7.

You can then just add -7 and 7.

7 + -7 = 0

So the answer is 0

7 0

3 years ago

List the single-digit divisors of 2100. I really need help

liberstina [14]

Answer:

1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

Prime factors of 2100 are:

2100 = 2*2*3*5*5*7

The single-digit divisors are:

1, 2, 3, 2*2= 4, 5, 2*3= 6, 7

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Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:

2100/1 = 2100, yes
2100/2 = 1050, yes
2100/3 = 700, yes
2100/4 = 525, yes
2100/5 = 420, yes
2100/6 = 350, yes
2100/7 = 300, yes
2100/8 = 262.5, no
2100/9 = 233.33, no

So all the numbers from 1 to 7

5 0

3 years ago