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MrRa [10]
4 years ago
13

To solve the system of equations below, Maria isolated the variable y in the first equation and then substituted it into the sec

ond equation. What was the resulting equation?
{ 3y=12x
{x^2+y=18

A. x^2 + x = 18
B. x^2 − 4x = 18
C. x^2 + 4 = 18
D. x^2 + 4x = 18
Mathematics
2 answers:
GaryK [48]4 years ago
8 0

Answer:

D. x^2 + 4x = 18

Step-by-step explanation:

To solve the system of equations below, Maria isolated the variable y in the first equation and then substituted it into the second equation.

First equation is 3y=12x

To isolate y we divide both sides by 3

y=4x

Now substitute 4x for y in second equation

x^2+y=18

x^2+4x=18

this equation is in option D

Evgen [1.6K]4 years ago
7 0
Y = 4x
The answer is D
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I know this is super easy! My brain just cannot wrap my head around my maths today. Please help soon.
zysi [14]

Hello there! the answers to your question are:

a. $15x + $20y = $100; x + y = 6.

b. Yes, he can, since the cost of 4 shirts is $60, and two pants is $40, which adds up to be how much he is spending, or $100.  

Let's start by working to solve part a. We need to set up a system of equations that models the situation given. To do this, let's set up an equation that models how many Sean will buy in total and how much he will spend.

The question says that he wants to spend $100 total, and shirts cost $15 and pants cost $20. We can model this as $15x + $20y = $100.

The question also says he wants to purchase a total of 6 items for his wardrobe, so the number of items he buys has to add up to 6. This can be modeled as x + y = 6.

This gives us our answer for part a. Now let's solve part b. We are being asked if Sean can buy 2 pants and 4 shirts. This fits one of our equations, x + y = 6, since 4 and 2 add up to be 6. We need to see if this fits our other equation, though $15x + $20y = $100. To do this, we can substitute the number of shirts (4) into the x value, and the number of pants (2) into the y value and solve. If the total is more than 100, he can't. If it is less, he can.

$15(4) + $20(2) = 100

60 + $20(2) = 100

60 + 40 = 100

Since our total adds up to $100, he can buy 2 pairs of pants and 4 shirts.

I hope this helps and have a great rest of your day!

8 0
3 years ago
How many times larger is 3 x 1015 than 6 x 1010
Deffense [45]

it is 3,000 times larger! that is the difference.

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Answer:

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2) 5/8-___= -3/8

3) 1/3÷___= 1/9

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3 0
3 years ago
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8 0
3 years ago
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Given: PQ= TQ, UQ: QS
joja [24]

Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement.

The required figure is shown below:

 Statement                                             Reasons

PQ ≅ TQ; UQ ≅ QS                               Given

PQ = TQ, UQ = QS                     Definition of Congruence

PQ + QS = PS; TQ+QU = TU    Segment Addition Postulate

TQ + QS = PS                            Substitution  (PQ = TQ)

TQ + QS = TU                            Substitution  (QU = QS)

PS = TU                                    Transitive Property

Prove: PS ≅TU                          Definition of Congruence

Hence, the required prove is shown above.

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