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3 years ago

Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio?

1 answer:

5 0

3:4 = 6:8

$\frac{3}{4} = \frac{6}{8}$

The same principle is used with fractions. The identity property of multiplication states that any number times 1 is the same number. Since $\frac{2}{2}$ = 1, the fraction/ratio does not change in value.

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Rewrite the fraction in the sentence below as a percentage 21/25

Paul [167]

21/25

Change to decimal:-

Divide numerator by denominator.

21/25

21 ÷ 25 = 0.84

21/25 = 0.84

Change to a percentage:-

0.84 × 100 = 84

21/25 = 0.84 = 84%

6 0

3 years ago

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

-Dominant- [34]

Let

x--------> the number of children

y------> the number of teenagers

z------> the number of adults

we know that

$2x+3y+5z=1,950$ ------> equation A

$x+y+z=570$ -----> equation B

$y=\frac{3}{4}x$

$x=\frac{4}{3}y$ -------> equation C

Substitute equation C in equation A and equation B

$2[\frac{4}{3}y]+3y+5z=1,950$

$\frac{17}{3}y+5z=1,950$ --------> equation D

$[\frac{4}{3}y]+y+z=570$

$\frac{7}{3}y+z=570$ --------> equation E

Multiply equation E by $-5$

$-\frac{35}{3}y-5z=-2,850$ --------> equation F

Adds equation D and equation F

$\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers$

therefore

<u>the answer is the option</u>

$150\ teenagers$

4 0

3 years ago

Read 2 more answers

Triangle ABC has coordinates A (0, 1) B (0, 2) and C (3,2). If Triangle ABC is equivalent to triangle EDF, what is the measure o

Elanso [62]

Answer:

Step-by-step explanation:

Segment BC corresponds to segment DF. The length of BC is the distance between coordinates (0, 2) and (3, 2). These points are on the same horizontal line (y=2), so the distance between them is the difference of their x-coordinates: 3 - 0 = 3.

7 0

3 years ago

Read 2 more answers

2. What number will go in the blank so that the equation will have an

dolphi86 [110]

Answer:

I think option B) -5

I hope help you

7 0

3 years ago

Read 2 more answers

A function is given by a table of values,a graph, a formula, or a verbal description. Determine whether it is one to one.