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4 years ago

What does x equal in the equation: 5/9-2/7x=19/63

Mathematics

1 answer:

Paraphin [41]4 years ago

7 0

Answer:

x = 56/63

Step-by-step explanation:

$\frac{5}{9}-\frac{2}{7}x =\frac{19}{63}$

$\frac{19}{63} - \frac{5}{9} =\frac{-2}{7}x\\\\\frac{19-35}{63}=\frac{-2}{7}x\\\\\frac{-16}{63}= \frac{-2}{7}x\\\\\frac{-16}{63}*\frac{-7}{2} = x\\\\\frac{112}{126}=x\\\\x= \frac{56}{63}$

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At a basketball game, a team made 55 successful shots. They were a combination of 1- and 2-point shots. The team scored 92 po

AysviL [449]

There were 18 one point shots and 37 two point shots.

Step-by-step explanation:

Let the number of one point shots be x and the number of two point shots be y .

So we have the system:

x + y = 55

x + 2y = 92

Subtract the first equation from the second, we get:

0 + y = 92 - 55 = 37.

y = 37.

From equation 1 we have x = 55 - y

therefore x = 55 - 37 = 18.

5 0

3 years ago

Rogue Industries reported the following items for the current year: Sales = $3,000,000; Cost of Goods Sold = $1,500,000; Depr

Nataly_w [17]

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales = $3,000,000

Cost of Goods Sold = $1,500,000

Depreciation Expense = $170,000

Administrative Expenses = $150,000

Interest Expense = $30,000

Marketing Expenses = $80,000

Taxes = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense - Marketing Expenses - Taxes

so put now all these value to get the income

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence

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3 years ago

The model represents an equation. What value of x makes the equation true?

kirill [66]

Answer:

Step-by-step explanation:

According to the diagram, there are 5 x's in and 8 of negative 1 in the left hand side of the equation. This is represented mathematically as;

= 5x+8(-1)

= 5x - 8 .............. 1

In the right hand side, there are 3 of -x's and 1 in 10 places. This is also expressed as;

= -3x+1(10)

= -3x+10 ............ 2

Equate 1 and 2 and find x

5x-8 = -3x+10

add 7 to both sides

5x-8+8 = -3x+10+8

5x = -3x+18

add 3x from both sides

5x+3x = -3x+18+3x

8x = 18

x = 18/8

x = 9/4

Hence the value of x that makes the equation true is 9/4

5 0

3 years ago

Consider the incomplete paragraph proof. given: isosceles right triangle xyz (45°–45°–90° triangle) prove: in a 45°–45°–90° tria

mash [69]

1. We have to prove that in a 45°–45°–90° isosceled triangle, the hypotenuse is times the length of each leg.

2. Since, triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, which states $a^2+b^2=c^2$

But, in isosceles triangle it becomes

$a^2+a^2=c^2$

3. By combining like terms, we get

$2a^2=c^2$

4. Now, we will determine the principal square root of both sides of the equation.

$\sqrt2 a = c$

5. Dividing both sides of the equation by '2', we get

$\frac{a}{\sqrt 2} = \frac{c}{2}$

$a = \frac{c}{\sqrt 2}$

So, $c = \sqrt{2}a$

6. So the hypothenuse c is $\sqrt 2$ times the length of each leg 'a'.

6 0

4 years ago

Read 2 more answers

Jerome's sister told him to multiply both the amount of water and the amount of drink

Arada [10]

Answer:

×1 = 3 : 8.

×2 = 6 : 16

×3 = 9 : 24

×4 = 12 : 32

Step-by-step explanation:

5 0

3 years ago