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3 years ago

37+z≤54 37+z≤54 . Graph the solution.

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

See attached picture.

Step-by-step explanation:

Solve the inequality:

$37+z\leq 54\\z\leq 17$

Graph the solution by placing a closed dot (or filled in dot) on 17 on the number line. This is closed or filled in since z is less than or equal to. Then for the less than part, shade to the left of 17.

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Artistic nails salon earns a profit of$6500 in January and $17,500 in May. What is the rate of change in profit for this time pe

bearhunter [10]

Hello! :D

Okay, lets goooooo!

"There is a profit of $6,500 in January and $17,500 in May.
There are four months between January and May.
The rate of change= ($17,500 - $6,500) 4= $11,000/ 4= 2,750

So, the rate of change in profit is 2,750 per month."

quotes HomerTheGenious

So don't thank me, thank Homer.

:)

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4 years ago

Three cards are chosen from a standard deck of 52 playing cards with replacement. What is the probability every card will be a h

Fudgin [204]

Answer:

b 1/64

Step-by-step explanation:

well, total heart cards in deck are 13

so, in first case prob of 1 heart is = 13/52 = 1/4

combined prob = 1/4 * 1/4 *1/4 = 1/64

please leave me a brainliest asnwer i onnly need one more :)

7 0

3 years ago

michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ

bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric Total Cost

2.2 $2.53

3.6 $4.14

4.2 $4.83

What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

$\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}$

$\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Let us find cost per yard using 2nd set of data.

$\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Similarly we will find cost per yard for 3rd set of data.

$\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Therefore, the cost per yard of fabric is $1.15.

4 0

3 years ago

How much longer is a one inch button than a 3/8 inch button?

Verizon [17]

Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

3 0

2 years ago

For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is .

SCORPION-xisa [38]

Given triangle XYW with vertices X(2, b), Y(-4, -2) and W(-2, 3), the slope of a straight line is given by
$m= \frac{y_2-y_1}{x_2-x_1}$

Thus, the slope of XY is given by
$\frac{-2-b}{-4-2} =0.56 \\ \\ -2-b=0.56(-6)=-3.36 \\ \\ b=-2+3.36=1.36$ ,

Thus the vertex of X is (2, 1.36)

Therefore, the slope of WX is given by
$\frac{1.36-3}{2-(-2)}= \frac{-1.64}{4} =-0.41$ ,

and the slope of YW is given by
$\frac{3-(-2)}{-2-(-4)}= \frac{3+2}{-2+4} = \frac{5}{2}=2.5$ .

For a right triangle, two of the sides intersect each other at 90 degrees (i.e. they are perpendicular to each other).

When two lines are perpendicular the product of the slopes of the the lines is -1. i.e. the slopes of two perpendicular lines are opposite reciprocal.

Two numbers are said to be opposite reciprocal when one of the number is the result of taking the reciprocal of the other number and then changing the sign.

Recall that the slope of WX is -0.41 and the slope of YW is 2.5, but 2.5 x (-0.41) ≈ -1.

Therefore, the statement that verifies that triangle WXY is a right triangle is "
The slopes of WX and YW are opposite reciprocals."

7 0

4 years ago

Read 2 more answers