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3 years ago

14

Which ratios are proportional to 14 : 21? Choose all answers that are correct.

2 answers:

Svet_ta [14]3 years ago

4 0

2 : 3 (reduced by a factor of 7 from 14 : 21) and 56 : 84 (increased by a factor of 4)

otez555 [7]3 years ago

4 0

Let's turn that ratio into a fraction: 14/21

14/21... Let's pull some common factors out.

If I remember my times tables, 7 fits into both 14 and 21 so let's divide the top and bottom by 7:
2/3

And 2/3 is the same as 2:3

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Shelley purchases several stuffed animals to give to charity. The price of each animal is listed in the chart. Which animal has

podryga [215]

The price of the duck because the 5 in the price of the horse is in the ones place. So you will have to divide by 10 to get to the 5 in the duck's price.

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2 years ago

(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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2 years ago

I need help finding Sin B, Cos B, and Tan A for a geometry problem. please help meee

Scilla [17]

Answer:

Sin B = 5/13

Cos B = 12/13

tan A = 12/5

Step-by-step explanation:

Sin B = opposite side/ hypotenuse

Sin B = 5/13

Cos B = adjacent side / hypotenuse

= 12/13

tan A = opposite side /adjacent side

= 12/5

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2 years ago

Graph the function y=|x+2|-3

inna [77]

This graph the answer to your problem.

5 0

2 years ago

Read 2 more answers

F(x) = a(x - h)power of 3 + k please describe what a, h and k do within our function.

Zarrin [17]

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative). This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative). This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.

6 0

3 years ago