Solve for x:

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

2x + 6 + 3x + 12 = 33

5x + 18 = 33

5x = 33-18

5x = 15

therefore x=3

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At some department store, all suits are reduced 30% from the retail price. If a man purchased a suit that originally rera ec for

Arisa [49]

Answer:

$78.72

Step-by-step explanation:

To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value

30% is equivalent to 0.30, $\frac{30}{100}$ , and $\frac{3}{10}$
So we can use either of these values. I will use 0.30 for simplicity

($262.40)(0.30) = $78.72 is the amount saved

5 0

3 years ago

The points (10,14) and (35,49) form a proportional relationship. Find the slope of the line through the points. Then use t

Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5 or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446

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