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weqwewe [10]
3 years ago
11

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no so

lution or infinitely many solutions.
3x - 2y = 11

x - y/2 = 4
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0
X - y/2 = 4
x - 4 = y/2
2(x - 4) = y
2x - 8 = y.....so we sub in 2x - 8 in for y in the other equation

3x - 2y = 11
3x - 2(2x - 8) = 11
3x - 4x + 16 = 11
-x = 11 - 16
-x = -5
x = 5

2x - 8 = y
2(5) - 8 = y
10 - 8 = y
2 = y

It has one solution and it is (5,2)
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The are adding a new room to their house. The room will be a cube with volume 6859 ft. They are going to put in hardwood​ floors
AysviL [449]

Answer:

3610 dollars

Step-by-step explanation:

Remark

If you take the Cube Root of the volume, that will give you the length of an edge of the cube. If you square the edge, you get the area of one of the faces of the cube.

The Cost = the Area of 1 face * 10 dollars. is the answer.

Given

Volume = 6859 cubic feet

Cost per square foot = 10 dollars.

Solution

V = 6859 feet^3                     Take the cube root of both sides

Edge = ∛V

Edge = ∛V = ∛6859

Edge = 19 feet exactly.

Area of the floor = s^2

Area of the floor = 19^2

Area of the floor = 361 square feet

Cost = 10 * 361 = $3610

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2 years ago
20 POINTS
aivan3 [116]

Answer:

To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Leslie invests $2500 in a savings account for 10 years. The account accrues interest at a rate
sveta [45]

Answer:

You make $32,000 a year and want to save 10% of your income every year. How much should you put into savings every month?

$32$,000 x 0.10 = 3,200

You want to save $3200 a year.

You should be saving $266.67 a month or $133.33 a paycheck if you are paid

Step-by-step explanation:

7 0
3 years ago
Graph the line with slope-2/3<br> passing through the point (-5, -4),
Orlov [11]

Answer:

The figure is attached down

Step-by-step explanation:

To graph a line you must have its equation

The form of the linear equation is y = m x + b, where

  • m is its slope
  • b is the y-intercept (y at x = 0)

∵ The slope of the line is  -\frac{2}{3}

∴ y = -\frac{2}{3} x + b

- To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passing through point (-5 , -4)

∴ x = -5 and y = -4

∵ -4 =  -\frac{2}{3} (-5) + b

∴ -4 = \frac{10}{3} + b

- Subtract  \frac{10}{3} from both sides

∴ -\frac{22}{3} = b

∴ y = -\frac{2}{3} x - \frac{22}{3}

To draw the line substitute x by any two values and find their ys

∵ x = -2

∴ y = -\frac{2}{3} (-2) - \frac{22}{3}  

∴ y = -6

∴ The line passing through point (-2 , -6)

∵ x = 1

∴ y = -\frac{2}{3} (1) - \frac{22}{3}  

∴ y = -8

∴ The line passing through point (1 , -8)

∵ x = 4

∴ y = -\frac{2}{3} (4) - \frac{22}{3}  

∴ y = -10

∴ The line passing through point (4 , -10)

Now we can make a table to draw the line

→  x  : -5  :  -2  :  1  :  4

→  y  : -4  :  -6  : -8 :  -10

Plot the points on the graph paper and draw the line

<em>Look to the attached graph</em>

4 0
4 years ago
Consignment Sale. Just Between Friends is the leading pop-up consignment sales event franchise in North America. The Des Moines
natita [175]

Answer:

Just Between Friends

The percentage of consignors who receive a check for more than $370 is:

= 16%.

Step-by-step explanation:

Mean of consignor check, μ = $480

Standard deviation, σ = $110

Value of check received, x > $370

Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:

z = (x-μ)/σ

z= ($370 - $480)/$110

z = -$110/$110

z = -1.00

Percentage of consignors who receive a check for more than $370

= 0.15866

= 0.16

= 16%

7 0
3 years ago
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