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Novay_Z [31]
3 years ago
5

If y varies directly as x and y=27 when x=32, find y if x=33

Mathematics
1 answer:
NARA [144]3 years ago
5 0
When x= 32, y= 27
when x=33, y= ?
\frac{32}{27}  =  \frac{33}{y}
y =   \frac{33 \times 27}{32}
y= 27.8

y is nearly 28
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Divide 28 cans of soda into two groups so the ratio is 3 to 4
kaheart [24]
First, you add the two ratio numbers to figure out what to divide your 28 cans of soda by.

3=4=7
Next, you divide this amount into your total amount of cans of soda.

28/7=4.

This means that for each one in the ratio, there is 4 cans.  So you multiply both numbers in the ratio by 4.

3*4 = 12
4*4=16

So, your final answer is 12:16, or 12 cans of soda in one group, and 16 cans of soda in the other.
6 0
3 years ago
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tick
RSB [31]

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

5 0
3 years ago
Which number best represents the slope of the graphed line -5,-1/5,1/5,5
HACTEHA [7]

The slope of the line will be – 1/5. Then the correct option is B.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Take two point from the graph.

(0, 2) and (1, –3)

Then the slope will be

m = (2 – (–3)) / (0 – 1)

m = 5 / (–1)

m = – 1/5

Then the correct option is B.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

4 0
1 year ago
Take a factor out of the square root:
Nat2105 [25]

Answer:

See below.

Step-by-step explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18  = √(2*3*3)

= √9*√2

= 3√2.

6 0
3 years ago
21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

A = P(1 + \frac{r}{100})^{n}

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

so

we have

A = 475(1 + \frac{3.8}{100})^{4}

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

5 0
3 years ago
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