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Nadya [2.5K]
2 years ago
8

HELP PLSASE: Find the solution of the system of equations.

Mathematics
1 answer:
Mamont248 [21]2 years ago
3 0

Answer:

Step-by-step explanation:

x

=

−

24

y

=

10

Explanation:

x

+

4

y

=

16

2

x

−

4

y

=

8

Subtract the bottom equation from the top one so the

+

4

y

and

−

4

y

cancel each other out.

−

x

=

24

x

=

−

24

x

+

4

y

=

16

−

24

+

4

y

=

16

4

y

=

40

y

=

10

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Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=7 1/2 when x=3
kolbaska11 [484]

Answer:

y/x = 2.5

Step-by-step explanation:

y ∝ x

change ∝ to = by adding constant k or c

y = kx

Divide both sides by x

y/x = k, also k = y/x

Input the values

k = (7 1/2)/3.  Change 7 1/2 to improper fraction to give 15/2

k = (15/2)/3

k = \frac{15}{2} ÷ 3  

Change the division sign to multiplication which will change 3 to its inverse(1/3)

k = \frac{15}{2} × \frac{1}{3}

k = \frac{15}{6}

Divide the numerator and denominator by 3 to get 5/2

k = 5/2

From y/x = k,input k into the eqn

y/x = 5/2

y/x = 2.5

8 0
3 years ago
In the figure, Δ ABC Δ XYZ. What is the perimeter of ΔABC? Show your work.
slava [35]

Answer:

49

Step-by-step explanation:

∆ABC~ ∆XYZ

AB= 11 that is half of XY = 22

therefore XZ/2 = AC (base) = 32/2 = 16

and YZ /2 = BC(hypotenuse) = 44/2 = 22

(a= 11, b= 16, c= 22)

perimeter of a triangle

P = a+b+c

P= 11+16+22= 49

8 0
3 years ago
Simplify by dividing negative three over eight divided by five over nine.
goblinko [34]

Answer:

\frac{-27}{40}

Step-by-step explanation:

First we need to write in correct form :

\frac{-3}{8}:\frac{5}{9}

We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.

So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)

\frac{-3}{8} *\frac{9}{5}

Now, multiply numerator by numerator, denominator by denominator :

\frac{-27}{40}

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3 years ago
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You can see that an odd number of steps is simply multiplying the number of steps by a number that moves up one each time. For instance, 1*1, 3*2, 5*3, etc. It's a bit harder with the even numbers. Their pattern is multiplying half the number of steps by 1.5, but the ones place value moves up a number each time, for example, 2*1.5, 4*2.5, 6*3.5. This means that 10 steps is 10 * 5.5, or 55 blocks and that 100 is 5,050 steps.


8 0
3 years ago
Eight more than twice a number is equal to ten less than five times the number. Let n represent the number. Write an equation th
solniwko [45]
The answer is 8+2n=5n-10
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