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Evgen [1.6K]
3 years ago
14

A rectangle has a length that is 10 less than 3 times the width. If the rectangle has an area of 8 square feet, what is the widt

h of the rectangle?
Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Solve this problem by forming an equation

3x - 10 = 8

3x = 18

The width of the rectangle is 6 square feet.

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A car salesperson earns a 18% commission on every car sold. The salesperson sells a car for $37,560. What is the commission?
Hatshy [7]

100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

3 0
3 years ago
Line l passes through point (3,−26) and line p is the graph of y−3=−5(x−2) .
uranmaximum [27]

Considering the definition of parallel line, the equation of line l is y= -5x -11.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Parallel line</h3>

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

<h3>Equation of parallel line in this case</h3>

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

<u><em>y=  -5x +13</em></u>

where:

  • the slope is -5.
  • the y-intercept is 13.

Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

-26= -5× 3 + b

-26= -15 + b

-26 + 15 = b

<u><em>-11 = b</em></u>

Finally, the equation of parallel line is y= -5x -11.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

3 0
1 year ago
Please assist me with these problems​
Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

T = 55

The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

P = 250 + (x/100) S

When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

8 0
3 years ago
Find the value of x. Write your answer in simplest radical form.
Georgia [21]
25 because
{15}^{2}  +  {20}^{2}  = 625 \\  \sqrt{625}  = 25
hope this helps
4 0
3 years ago
Solve the inequality for u<br>-5u+27 [less than or equal to] 2​
baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

Solve:

5≤u

:)

6 0
3 years ago
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