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3 years ago

After a 48% mark up, you purchase a new playstation for $333. What was the original price of the playstation?

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

Answer:

$225

Step-by-step explanation:

The original price plus 48% equals $333.

x + 0.48x = 333

1.48x = 333

x = 225

The original price was $225.

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What are the zeros of the polynomial below (x + 3)(x - 5) =0

Hitman42 [59]

Answer:

-3, 5

Step-by-step explanation:

By solving for x you get -3 and 5.

6 0

3 years ago

Find r if (r, 6) and (5, -4) are two points on a line with a slope of 5/7 (Hint: use the slope formula)

andreyandreev [35.5K]

The formula of a slope:

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

We have

$(r,\ 6),\ (5,\ -4)\\\\m=\dfrac{5}{7}$

Substitute

$\dfrac{-4-6}{5-r}=\dfrac{5}{7}\\\\\dfrac{-10}{5-r}=\dfrac{5}{7}\qquad|\text{cross multiply}\\\\5(5-r)=(-10)(7)\qquad|\text{use distributive property}\\\\25-5r=-70\qquad|-25\\\\-5r=-95\qquad|:(-5)\\\\\boxed{r=19}$

4 0

3 years ago

If m<9=97 and m<12=114, find each measure.

seropon [69]

Answer:

a. 97

b. 83

c.66

d. 114

e.83

f. 97

g. 114

h.66

i. 83

j. 66

k.83

l.97

m. 114

n. 66

6 0

3 years ago

An athlete plains to run 3 miles. Each lap around th school yard is 3/7 miles how many laps will the athlete run

kati45 [8]

Answer: 7 laps

Step-by-step explanation:

The athlete planned to run 3 miles

1 lap = 3/7 miles

x laps = 3 miles

by proportion :

x × 3/7miles = 3 miles

x = 3 ÷ 3/7

x = 3 x 7/3

x = 7

Therefore: the athlete will run 7 laps

3 0

3 years ago

The Frill family and the Smith family go to the movies.

Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

$6a + 2c = 124$

as equation 1,

and

$3a + 5c = 100$

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

$3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200$

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

$(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5$

Now substitute c into equation 2.

$3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5$

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0

3 years ago