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Black_prince [1.1K]
3 years ago
5

What is 6x - 7y = 2(x+10y )

Mathematics
2 answers:
marysya [2.9K]3 years ago
4 0

6x-7y= 2(x+10y)

x=24/4y

Anna [14]3 years ago
4 0

For this case, we must simplify the following equation:

6x-7y = 2 (x + 10y)

We apply distributive property to the terms of the parenthesis on the right side of the equation:

6x-7y = 2x + 20y

We subtract "2x" on both sides of the equation:

6x-2x-7y = 2x-2x + 20y\\4x-7y = 20y

We add "7y" to both sides of the equation:

4x-7y + 7y = 20y + 7y\\4x = 27y

We clear one of the variables:

y = \frac {4x} {27}

Answer:

y = \frac {4x} {27}

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the Royal fruit company produces two types of fruit drinks. the first type is 20% pure juice,the second type is 100% pure fruit
skad [1K]

30 pints of first type and 130 pints of second type drinks must be used to make the mixture.

<em><u>Explanation</u></em>

Lets assume, the amount of first type drink is x pints.

As the total amount of the mixture is 160 pints, so the amount of second type drink = (160-x) pints.

The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....

0.20x+1.00(160-x)= 0.85*160\\ \\ 0.20x+160-x=136\\ \\ -0.80x= -24\\ \\ x=\frac{-24}{-0.80}=30

So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.

5 0
3 years ago
timur paid $4.50 to enter the fair. he then bought a pretzel for $1.50 and played a game $1. last he rode a roller coaster for $
Soloha48 [4]
X-(4.5+1.5+1+3)= 8
x-10=8
+10. +10
x= 18

He took $18 to the fair. You take his original amount and subtract the things he paid for/bought to get what he came home with. I hope it helps!
8 0
2 years ago
What is the value of the expression 5/7 divided by 8/9
kirill115 [55]
45/56
5/7 divided 8/9
5/7 times 9/8
45/56
7 0
3 years ago
jacob bought 5 pencils for 80 cents. At this same rate, how many pencils can hee but for 40 cents? Explain why this answer does
Step2247 [10]
5 pencils cost $.80. Each pencil costs $0.16
Then divide $0.16 into $0.40
This equals 2.5 pencils, you can't buy half a pencil
3 0
3 years ago
Consider the following functions. f={(−4,−1),(1,1),(−3,−2),(−5,2)} and g={(1,1),(2,−3),(3,−1)}: Find (f−g)(1).
fenix001 [56]

Answer:

0

Step-by-step explanation:

Subtraction of functions has the property:

  • (f−g)(1) = f(1) - g(1)

f={(−4,−1),(1,1),(−3,−2),(−5,2)}  has (1,1) means that f maps 1 to 1, therefore f(1) = 1

g={(1,1),(2,−3),(3,−1)}  has (1,1), means that g maps 1 to 1, therefore g(1)=1

As a Result, since (f−g)(1) = f(1) - g(1), we have (f−g)(1) = 1-1=0

7 0
2 years ago
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