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alukav5142 [94]
2 years ago
8

Use substitution to solve the following system of equations. -2x + 4y = -18 AND x = y + 3

Mathematics
2 answers:
Annette [7]2 years ago
5 0

Answer:

x = -3    y = -6

Step-by-step explanation:

x = y + 3

x - 3 = y

-2x + 4(x - 3) = -18

-2x + 4x - 12 = -18

2x = -6

x = -3

x = y + 3

-3 = y + 3

-6 = y

loris [4]2 years ago
4 0

Answer:

x = -3 ; y = -6

Step-by-step explanation:

x = y + 3

-2x + 4y = -18

-2(y+3) + 4y = -18

-2y -6 + 4y = -18

2y = -12

y = -6

x = -6+3

x = -3

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Tim dug a hole that was 16 1/2 inches deep.He left a pile of dirt next to the hole that was 8 3/4 inches high.Show how you could
Viktor [21]

Answer:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

But what the question requested was the distance from the top of the dirt to the bottom of the hole

5 0
2 years ago
Nth term sequences, please may I get some help. 15 p.
Dovator [93]

Answer:

(n+2)^2+6

Step-by-step explanation:

Pattern 1 consists of

3+3\times 3+3 small squares (here n = 1 and 3\times 3=(1+2)\times (1+2)).

Pattern 2 consists of

3+4\times 4+3 small squares (here n = 2 and 4\times 4=(2+2)\times (2+2)).

Pattern 3 consists of

3+5\times 5+3 small squares (here n = 3 and 5\times 5=(3+2)\times (3+2)).

Thus, pattern n consists of

3+(n+2)\times (n+2)+3=6+(n+2)^2 small squares.

3 0
3 years ago
PLEASE HELP ME PLEASE
il63 [147K]
Looks like you meant to write (p/q)³ if so it's power of a quotient
3 0
3 years ago
Read 2 more answers
Manny used 8 tenth-size parts to model 8/10. Ana used fewer parts to model an equivalent fraction. How does the size of a part i
viktelen [127]
Alrighty, let's think of it like this: You are trying to fill a box with a bunch of sports balls. You have tiny little golf balls, and you have giant bowling balls. You need to fill this same box all the way up.

If you fill it with the tiny golf balls, you are going to need a <em>whole lot of them!</em>

If you are putting in bowling balls, only a few of them will fit, because they are so much bigger.

When it comes to your fraction, the box is the the number 8/10. That number will not change because we are not changing the size of the box.

We are just changing what we are filling it with. Manny, can fit 8 parts, or in this case balls, into the box.

It says Ana uses fewer parts, so she cannot fit as many in as Manny.

This means that Manny would have the golf balls, since he can fit more in than Ana, who must have the bowling balls.

So which is bigger? A bowling ball or a golf ball?

A bowling ball, which is what Ana has. So <u><em>Ana's part will be bigger</em></u> in size.
4 0
2 years ago
Read 2 more answers
What is 22+54x=-20+60x
krek1111 [17]

Answer:

7

Step-by-step explanation:

22+54x=20+60x

54x=-42+60x

-6x=-42

x=7

4 0
3 years ago
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