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3 years ago

6x + 5y = 147 8x + 4y = 156

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

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In the stock market an amazon stock share rose 4 and 1/2 points on Wednesday rose 3 and 3/8 points on Thursday and fell 2 and 1/

Vika [28.1K]

Answer:

In the three days the Amazon stock share rose by $5\frac{5}{8}$

Step-by-step explanation:

Given:

Amazon stock share

rose 4 and 1/2 points on Wednesday

rose 3 and 3/8 points on Thursday

fell 2 and 1/4 points on Friday

To find the overall change.

Solution:

The change in share on Wednesday is given as = $+4\frac{1}{2}$

The change in share on Thursday is given as = $+3\frac{3}{8}$

The change in share on Friday is given as = $-2\frac{1}{4}$

Thus, the over all change is given by:

$4\frac{1}{2}+3\frac{3}{8}-2\frac{1}{4}$

In order to combine mixed numbers, we will work the whole numbers and the fractions separately.

⇒ $(4+3-2)+(\frac{1}{2}+\frac{3}{8}-\frac{1}{4})$

⇒ $5+(\frac{1}{2}+\frac{3}{8}-\frac{1}{4})$

To combine fractions, we will take least common denominator.

The L.C.D. 2,4 and 8 = 8 as it is the least common multiple for all the denominators

So, we multiply the numerators with the corresponding numbers to make the denominators common.

⇒ $5+(\frac{1\times 4}{2\times 4}+\frac{3}{8}-\frac{1\times 2}{4\times 2})$

⇒ $5+(\frac{4}{8}+\frac{3}{8}-\frac{2}{8})$

Combining the numerators.

⇒ $5+\frac{4+3-2}{8}$

⇒ $5+\frac{5}{8}$

⇒ $5\frac{5}{8}$

The overall change for the three days can be given as : $+5\frac{5}{8}$

This means the share rose by $5\frac{5}{8}$

5 0

3 years ago

What is one way you can calculate 0.25 times 0.044 as a decimal?

Rudik [331]

Answer:

0.011

Step-by-step explanation:

let's see so first

first you line the numbers on the right (DO NOT ALINE DECIMAL POINTS)

second, starting from on the right multiply each digit in the top number by each digit in the bottom number just as whole numbers .

after add the products

7 0

3 years ago

Plz help I will give brainliest

arsen [322]

Answer:

#8. M = -8/9

#9. M = 3/5

6 0

2 years ago

Solve for x 30x=(60)(ЧО)

Tju [1.3M]

Answer:

x = 8

Step-by-step explanation:

30x = (60)(40)

30x = 240 Multiply 60 and 40

x = 8 Divide 30 from both sides

4 0

3 years ago

Simplify the expression

Natalija [7]

Step 1 :

(23 x 2 - 5) • x 3

Step 2 :

Trying to factor as a Difference of Squares :

Factoring: 8 x 2-5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Answer:

(8 x 2 - 5) • x 3

3 0

3 years ago