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nlexa [21]
4 years ago
5

What is the solution to the system of equations. 2x+4y=12. Y=1/4x-3

Mathematics
1 answer:
larisa86 [58]4 years ago
5 0
2/7 not sure but that's what i got 
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Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?
9966 [12]

Answer:

In 7 years

Step-by-step explanation:

Let

n ----> the number of years

x -----> Kate's age

y ----> Victor's age

we know that

(x+n)=2(y+n)

we have

x=17\\y=17-12=5\\

Victor's age is 5

substitute the given values

(17+n)=2(5+n)

Solve for n

17+n=10+2n

2n-n=17-10

n=7

<u><em>Verify</em></u>

In 7 years

Kate's age is 17+7=24

Victor's age is 5+7=12

24=2(12)

so

Kate is twice as old as Victor

8 0
3 years ago
A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table show
kondaur [170]

Given that amount of first acid solution = 4 liters

Let concentration of the first acid solution = x

then effective amount of first solution = 4x


Given that amount of second  acid solution = 10 liters

Givn that concentration of the second acid solution = 40% = 0.4

then effective amount of second solution = 0.4(10)


Then amount of resulting acid solution = (4+10) liters

Givn that concentration of the resulting acid solution = 30% = 0.3

then effective amount of resulting solution = 0.3(4+10)


Combining all those results gives equation

4x +0.4(10) = 0.3(4+10)

4x +4 = 0.3(14)

4x +4 = 4.2

4x = 0.2

x=0.05


Hence final answer is 0.05 or you can say 5%.



6 0
3 years ago
Read 2 more answers
Which measurement is most accurate to describe the weight of an apple?
timofeeve [1]
120 g from different country
4 0
3 years ago
Suzie simplified the following expression. What mistake did she make? 2(3 + 9x) - 2x 6 + 9x - 2x 6 + 7x
Levart [38]

2(3 + 9x) - 2x

= 6 + 9x - 2x <----------------mistake right here

= 6 + 7x

Correct:

Expanding by using distributive property

2(3 + 9x) - 2x

= 2* 3 + 2 * 9x - 2x

= 6 + 18x - 2x

= 6 + 16x


3 0
3 years ago
Find the value of x.<br> 54<br> 79
Blababa [14]

Answer:

I believe it is 47 degrees

Step-by-step explanation:

Triangles add up to 180 degrees

54 + 79 = 133

180 - 133 = 47

4 0
3 years ago
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