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QveST [7]
3 years ago
15

Which of the following is the inverse y=3x

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
To find an inverse, switch the x and the y and solve for the new y.  Yours switched is x = 3y.  Now solving for y we divide both sides by 3 to get y = x/3
You might be interested in
1) Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes
amm1812

Answer:

1. D

2. D

3. C

4. C

5. C

6. C

7. D

8. A

9. No question given (shown)

10. 8047 meters


Step-by-step explanation:


1.

If 2 cakes feed 11 people, then 1 cake feeds \frac{11}{2}=5.5 people

To find how many cakes it will require to feed 58 people, we divide 58 by 5.5:

\frac{58}{5.5}=10.55

We can't make fractional cakes, so we will need 11 cakes.

Answer choice D is right.


2.

To get ratio of banana to all fruit, we make the fraction with total number of bananas on top and total number of fruits on bottom.

Total bananas = 4

Total fruits = 12 +4 +8 = 24

So the ratio is \frac{4}{24}

Reducing it, we get \frac{4}{24}\\=\frac{1}{6}

We can write this as 1:6

Correct answer D


3. <em>"What is 34% written as a ratio?"</em>

To write in ratio (fraction), we divide the number in front of the percent sign (which is 34) by 100. So we have \frac{34}{100}

We can write this as 34:100

C is right


4.

First, 5 pounds per foot for 12 foot is 12 * 5 = 60 pounds

We need to change foot to meter and pounds to kg. We need two unit ratios for this. It is shown below:

\frac{60Pounds}{12Feet}*\frac{0.454Kg}{1Pound}*\frac{1Feet}{0.305Meters}\\=\frac{(60)(0.454)}{(12)(0.305)}\\=7.44\frac{Kg}{Meters}

Answer choice C is right.

<u>Note:</u> in the calculation above, pounds and pounds cancel as well as feet and feet cancel


5.

To get ratio (fraction) of blue to red marbles, we divide total number of blue by total number of red.

Total blue = 60 (given)

Total red = 90 - 60 = 30

So Ratio is \frac{60}{30}=2:1

Answer choice C is right.


6. Clark gives \frac{3}{10} to charity, this in percentage is 30%

We do long division and get a decimal and then multiply the decimal by 100 and stick a "%" sign after that:

\frac{3}{10}=0.3\\0.3*100=30

Hence 30%

Answer choice C is right.


7.

The first 5 level points are 20, 25, 30, 35, & 40. As we can see from the pattern, for each level inrease, the number of stars increase by 5.

Fifth level is 5 * 8 = 40

-------------------------------- Now,

  • Sixth level will be 40 + 5(6 -5) = 40+5=45
  • Seventh level will be 40 + 5(7 -5) = 40 + 5(2)=50
  • Eight level will be 40 + 5(8 -5) = 40 + 5(3) = 55

Seeing the pattern, 30th level would be : 40 + 5(30 -5) = 40 +5(25) = 165

Answer choice D gives us the correct answer.


8.

To get dollar rate per minute, we divide dollars by minutes for each and whichever is lowest, that is the BEST.

A) 240 minutes for $50 a month: \frac{50}{240}=.21 dollars per minute

B) 140 minutes for $70 a month: \frac{70}{140}=.50 dollars per minute

C) 200 minutes for $45 a month: \frac{45}{200}=.23 dollars per minute

D) 800 minutes for $250 a month: \frac{250}{800}=.31 dollars per minute

So we can see that the lowest and best rate is that of A).

Answer choice A is correct.


9. Question not given (shown).


10. <em>"1 mile = 5,280 feet 1 foot = 0.3048 meters Convert 5 miles to meters (round to the nearest meter)."</em>

We first change 5 miles to feet, and then to meters by setting up the ratio shown below:

5Miles*\frac{5280Feet}{1Mile}*\frac{0.3048Meters}{1Feet}\\=5(5280)(0.3048)\\=8046.72 meters

<u>*Note:</u> miles and miles cancel and feet and feet cancel when doing the conversion

Rounded to nearest meter, 8047 meters

8 0
3 years ago
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Can someone please help me solve this question 17a + 1b - 7a + 3b + 17​
tangare [24]

Answer:

10a + 4b + 17

Step-by-step explanation:

Combine like terms (terms with the same amount of variables & same variables). Reorder the terms:

17a - 7a + 1b + 3b + 17

(17a - 7a) + (b + 3b) + 17

10a + 4b + 17

10a + 4b + 17 is your answer.

~

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3 years ago
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True or false.
wariber [46]
The answer for the given question above is FALSE.<span> If it's at the 63rd percentile, then 37% of the data are GREATER than or equal to x. I hope this answer helps. Have a great day!</span>
7 0
3 years ago
The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit pu
Jet001 [13]

i don't know sorry.....................................

8 0
3 years ago
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Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Comp
Tema [17]

Answer:

B.

Step-by-step explanation:

step by step explanation

4 0
2 years ago
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