MATHEMATICS HIGH SCHOOL

Write the following proportion using colons. 7 is to 21 as 3 is to 9.a. 7:21 = 3:9
b. 7:3 = 21:9
c. 21:7 = 3:9
d. 7:21 = 9:3

Answers

Answer 1
Answer:

Answer:

Option A.

Step-by-step explanation:

There are two fraction given in this question and we have to write the proportion using colon.

Visually fractions (7)/(21) and (3)/(9) are different but when we simplify these fractions we get the actual relation between them.

We simplify (7)/(21) first.

By dividing from 7 in the numerator and denominator we get

((7)/(7))/((21)/(7))=(1)/(3)

similarly we simplify the fraction (3)/(9)

By dividing numerator and denominator by 3

((3)/(3) )/((9)/(3) )=(1)/(3)

Now we can say that both the fractions are equal.

(7)/(21)=(3)/(9)=(1)/(3)

So the ratio will be 7 : 21 = 3 : 9

Option A. will be the answer.
Answer 2
Answer: The answer is 7:21 = 3:9.

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165 / 26 mixed fraction ​

A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?

Answers

For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
                                   = (16 * 7) days
                                   = 112 days
18 ounce bottle lasts = (112/12) * 18
                                  = 168 days
                                 = 168/7 weeks
                                 = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?​

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      (x)/(75) = (8)/(10)

           x = (75 * 8)/(10)

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

The mean temperature for the first 7 days in January was 9 °C. The temperature on the 8th day was 8 °C. What is the mean temperature for the first 8 days in January

Answers

Answer:

8.875\°C

Step-by-step explanation:

Let

x ----> the mean temperature for the first 8 days in January

we know that

The mean temperature for the first 7 days in January multiplied by 7 is equal to the sum of the temperatures for the first 7 days

9(7)=63°C

so

The sum of the temperatures for the first 7 days plus the temperature on the 8th day, all divided by 8 is equal to the mean temperature for the first 8 days in January

x=(63+8)/(8)=8.875\°C

Answer:

8.875 degrees Celsius

Step-by-step explanation:

Evaluate (ab)^2. a=4 and b=3

Answers

First, plug in for a(4) and b(3).

That will make the problem as: (4*3)^2.

Multiply 4 and 3, which is 12. Then take (12)^2, which will give you the answer of 144.

1. Which events are dependent? I. flipping a coin multiple times II. picking even numbers,with replacement. III. picking odd numbers,without replacement. A. I only B. III only C. I and II D. II and III. 2.Which events are independent? I. flipping a coin multiple times II. picking coins, with replacement III. picking coins ,without replacement. A. I only B. II only C. I and II D. II and III and last one A spinner numbered 1 through 8 is spun 3 times. what is the probability of spinning an even number, then an odd number, and then an 8? Write your answer as a decimal. do not round. Please help me

Answers

1). Flipping a coin or picking a number are not dependent.  The probability
of the result is the same every time.  It only changes if you leave out what
you picked the first time, because then the total number of possibilities is
different.
With this reasoning, they might say that iii. is dependent because you
don't replace what you draw the first time.  I'm not comfortable with that.
Sure, you don't replace the first number you picked, but how many odd
numbers are left ?  Still an infinite number.
So I think iii. is the answer they want here, but I don't think any of the
choices is really dependent.  

2). By the same reasoning, i. and ii. are independent.  The coins have
no memory.  They don't remember what happened last time.

3).  The probability of any result is

                              (number of successes)/(number of possibilities).

Total number of possibilities each time is 8.

Probability of an even number (2, 4, 6, or 8) the first time = 4/8 = 0.5

Probability of an odd number (1, 3, 5, or 7) the second time = 4/8 = 0.5

Probability of an 8 the third time = 1/8 = 0.125 .

Probability of all 3 events = (0.5) x (0.5) x (0.125) = 0.03125  (3.125%)
 

Fish are sold at 10 for $8.64. What will be the cost of 16 fish

Answers

The cost of 16 fish would be $13.824.

How to determine What will be the cost of 16 fish

To find the cost of 16 fish, we can set up a proportion based on the given information:

10 fish cost $8.64

So, 1 fish would cost $8.64 / 10 = $0.864

Now, we can find the cost of 16 fish:

Cost of 16 fish = 16 × $0.864 = $13.824

Therefore, the cost of 16 fish would be $13.824.

Learn more about proportion at brainly.com/question/1496357

#SPJ3
8.64/10 = 0.864 per fish

.864 x 16 = $13.82
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