MATHEMATICS MIDDLE SCHOOL

What is the solution to the system of equations?5x - 3y = -9
2x - 5y = 4

(_,_)

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Answers

Answer 1
Answer: Multiply the 1st equation by 2 and the 2nd by 5 to get:
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)

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Darius takes his family on an afternoon boat ride. Going through York Canal, he drives 5 miles in 15 minutes. Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Which statement about the distances is true? A) The distance traveled in York Canal is 15 miles less than the distance traveled on Stover Lake. B)The distance traveled in York Canal is twice the distance traveled on Stover Lake C)The distance traveled in York Canal is one half the distance traveled on Stover Lake. D)The distances traveled in York Canal and Stover Lake are the same.

Answers

In first case, the average speed is (5/15) miles per minutes = (1 /3 ) miles per minutes;
In second case, the distance traveled in York Canal is 30 x ( 1 / 3) =  10 miles; 
But, 10 + ( 10 ÷ 2 ) = 10 + 5 = 15 miles;
The correct answer is C)!

Answer:

The distance traveled in York Canal is one half the distance traveled on Stover Lake.

Step-by-step explanation:

What is the simplest form for 18/39.?

Answers

6/13 is the simplest form
6/13 because 18 and 39 are divisible by 3.

Use the order of operations and the digits 2,4,6 and 8 to create an expression with a value of 2

Answers

8 / 2 + 4 - 6 = 2.

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Ricardo has a $50 gift card for an electronic store. he also has a coupon good for $10 off his purchase. Let a represent the amount of merchandise Ricardo can buy from the store using his gift card and coupon. Write and solve any quality to represent the situation

Answers

Well, that means he can buy 60$ in the shop.
Because: if he buys something of 60$ (we'll forget the taxes since it is not mentioned), and has 10$ off, that means the item drops to 50$. And then he can use his full gift card. 

Answer:

a < 60

Step-by-step explanation:

First off, he has a gift card ($50), plus the coupon ($10), so he can spend a total of $60.

Now we know he can only buy $60 worth of stuff. We cannot go over this amount.

So the inequality is a < 60. But also we can get exactly $60 dollars of things or less so actually, the inequality is a  < 60

Juanita wrote 3 x 47 as 3 x 40 + 3 x 7. Which property did she use to rewrite the expression?

Answers

distribute proporty
a(b+c)=ab+ac
3=a
b=40
c=7
3(40+7)=3*40+3*7

which of the following are solutions to the equation below check all that apply 2x^2 +6x = 20 A) 2 B) -10 C) 1 D) 20 E) -5 F) -2

Answers

Answer:

A. x = 2

E. x = -5

Step-by-step explanation:

Step 1: GCF

2(x² + 3x) = 20

x² + 3x = 10

Step 2: Complete the Square

x² + 3x + 9/4 = 10 + 9/4

(x + 3/2)² = 49/4

Step 3: Solve

√(x + 3/2)² = √49/4

x + 3/2 = ±7/2

x = -3/2±7/2 or x = -5, 2
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