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elena-14-01-66 [18.8K]

2 years ago

12

2x - 3y = 1 and x + 2y = 18

1 answer:

Yuliya22 [10]2 years ago

5 0

Answer:

x = 8 and y = 5

Step-by-step explanation:

2x - 3y = 1 --(1)

x + 2y = 18

x = 18 - 2y --(2)

sub (2) into (1):

2(18 - 2y) - 3y = 1

36 - 4y - 3y = 1

-7y = 1 -36

7y = 35

y = 5

x = 18 - 2(5) = 8

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The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?

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3 years ago

What is the sum or whatever of this equation. This equation is V = πx3^2x8

navik [9.2K]

Answer:

$V=226.08$

Step-by-step explanation:

To evaluate $V$ from the following expression:

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2 years ago

Find the value of x

Paladinen [302]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

x = 12°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180$

[ by linear pair ]

$\qquad❖ \: \sf \:7x + 6 = 180 - 90$

$\qquad❖ \: \sf \:7x + 6 = 90$

$\qquad❖ \: \sf \:7x = 90 - 6$

$\qquad❖ \: \sf \:7x = 84$

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$\qquad \large \sf {Conclusion} :$

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7 0

2 years ago

The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid

aliya0001 [1]

Answer:

see explanation

Step-by-step explanation:

Find the coordinates of c using the section formula

$x_{c}$ = $\frac{(3(1)+(2(6)}{2+3}$ = $\frac{3+12}{5}$ = 3

$y_{c}$ = $\frac{(3(4))+(2(-1))}{2+3}$ = $\frac{12-2}{5}$ = 2

coordinates of c = (3, 2)

Similarly to find the coordinates of d

$x_{d}$ = $\frac{x(2(1))+(3(3))}{3+2}$ = $\frac{2+9}{5}$ = $\frac{11}{5}$

$y_{d}$ = $\frac{(2(4))+(3(2))}{3+2}$ = $\frac{8+6}{5}$ = $\frac{14}{5}$

coordinates of d = ( $\frac{11}{5}$ , $\frac{14}{5}$ )

4 0

2 years ago

Read 2 more answers

A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com

nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0

3 years ago