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3 years ago

Find the unit rate,Kenny reads 5/8 pages in 2/3 minute.Please show your work.

1 answer:

5 0

Unit rate in this case would be pages per minute so divide (5/8)pages÷(2/3)minute.
Dividing a fraction can be done as multiplying by the reciprocal.
(5/8)·(3/2)=15/16pages per minute or 0.9375 pages/min.

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In this question, all lengths are in cm. ABC. 3x-4, 2x+12, 7x-2. Given that AB:AC = 1:2 Show that AC:BC = 2:3

tresset_1 [31]

Answer: AC : BC = 22 : 33 = 2 : 3

Step-by-step explanation:

Since we have given that

AB = 3x-4

AC= 2x+12

BC = 7x-2

And AB: AC = 1 : 2

and To show : AC : BC = 2 : 3

So, it becomes ,

$\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5$

So, AC: BC becomes:

$\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}$

Hence, proved.

5 0

2 years ago

Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .

kompoz [17]

Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)

5 0

1 year ago

Compare |0.47| and |-0.51|

Paraphin [41]

Answer:

A is the correct answer

Step-by-step explanation:

As the question is asking what simple is the correct one and the lines sorry I forgot what the name of them is. Then lines make negatives positive it does not effect a positive number as the number is positive.

7 0

2 years ago

A 2-column table with 5 rows. Column 1 is labeled Decimal with entries 0.1 6 repeating, 0.3 repeating, 0.5, x, 0.8 3 repeating.

Sindrei [870]

Answer:

A 2-column table with 5 rows. Column 1 is labeled Decimal with entries 0.1 6 repeating, 0.3 repeating, 0.5, x, 0.8 3 repeating. Column 2 is labeled Fraction with entries one-sixth, two-sixths, three-sixths, four-sixths, five-sixths.

Which best shows how the table can be used to determine the missing value x?

2(two-sixths) equals four-sixths, so 2(0.5) = 1, and x = 1.

4(1-sixth) equals four-sixths, so 4(0.16) = 0.64, and x = 0.64.

Three-sixths plus one-sixth equals four-sixths, so 0.5 + 0.16 = 0.6, and x = 0.6.

Five-sixths plus one-sixth equals four-sixths, so 0.83 + 0.16 = 0.99, and x = 0.9

4 0

2 years ago

The original price of a desk is $380. The desk is on sale 20% off.

Kaylis [27]

Answer:65

Step-by-step explanation:

7 0

2 years ago