Rewrite 4/6:1/3 as a unit rate. A: 2/1 B: 12/6 C: 2/9 D: 12/1

Answers

Answer 1
Answer:

Answer:

2/1

Step-by-step explanation:

get the first part of each fraction to something divisible by the second part

4· 3=12/6

1· 3=3/3

12÷2= 23÷3= 1

2/1

Answer 2
Answer:

Answer:

Correct answer is A 2:1

Step-by-step explanation:

When writing a unit rate the denominator is always 1

If you want to obtain a unit rate you divide both quantities by the second one.

what is a unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.


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If f(x) = 2x and g(x)=1/x, what is the domain of (f o g)(x)?x_>0
all real numbers except x = 0
x<_0
all real numbers

Answers

(X)=2X-ALL real numbers except x=0x<_0

If D varies directly with t and D is 108 when t is 4, find D when t is 7.

Answers

D\alphat
D=kt
108=k(4)
108=4k
k=(108)/(4)
k=27
The equation connecting D and t is;
D=27t
When t=7,
D=27*7
D= 189

Answer:

189

Step-by-step explanation:

Given : D varies directly with t and D is 108 when t is 4

To Find:  Find D when t is 7

Solution:

D varies directly with t

D ∝ t

So, D=kt

where k is the constant of proportionality

Now we are given that D is 108 when t is 4

So, 108=k(4)

(108)/(4)=k

27=k

Thus the constant of proportionality i.e. k = 27

So, D=27t

Now substitute t = 7

So,  D=27(7)

D=189

So, D = 189 when t = 7

Sara puts $4000 into an investment yielding 5% annual simple interest; she left the money in for five years. How much interest does Sara get at the end on those 5 years?

Answers

Answer:

1000

Step-by-step explanation:

4000.

5% annual, so 5x5=25

4000 of 25%

1000

15 is 2 1/2 of what number?

Answers

15 is 2 1/2 of a number 6.

We need to find that 15 is 2 1/2 of what number.

What is the meaning of 'of' in maths?

In math, 'of' is also considered one of the arithmeticoperations which means multiplication within the brackets.

Let the unknown number be y.

Now, 2 1/2 of y=15

⇒5/2 ×y=15

⇒y=6

Therefore, 15 is 2 1/2 of 6.

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▪ Answer:

n = 6

▪ Step-by-step explanation:

n × 2 1/2 = 15

n × 5/2 = 15

n × 5 = 30

n = 30 ÷ 5

n = 6

Bubba can mow a field in 8 hours. If Skeeter helps, they both can do it together in 3 hours. How long would it take Skeeter to mow the field by himself?

Answers


When they work together, they do  1/3 of the job in one hour.

                   (Bubba) + (Skeeter) = 1/3 job/hour    

Subtract 'Bubba'
from each side:            Skeeter  =  (1/3 job/hour) - (Bubba)

Bubba, working alone, does  1/8 of the job in one hour.

                                      Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

Can you subtract 1/8 from 1/3 ?

Before you can subtract, you'll need a common denominator.
I've got a nice one here . . .  24 .

                   1/3  =  8/24
                   1/8  =  3/24                                                         

                   Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

                                  =  (8/24 job/hour) - (3/24 job/hour)

                                  =        5/24 job/hour .

Skeeter mows at the rate of  5/24 field/hour.

The other way to look at that is:     24/5 hour/field  =  4.8 hours .

Check:

         Bubba:     1/8     field per hour  =  0.125
         Skeeter:  1/4.8  field per hour  =  0.208333...     

         Together:                        (0.125 + 0.208333)

                                             =  0.333... field per hour

                                             =    3 hours/field .                  yay!

Express the following in power notation -8 ÷ 343

Answers

Final answer:

The given expression -8 ÷ 343 can situationaly be written in power notation as -8 ÷ 7^3. This transformation changes '343' to '7^3' since 343 is 7 cubed.

Explanation:

The expression -8 ÷ 343 cannot be directly written in 'power notation', as the concept of'power notation' commonly refers to writing an expression in the form of a base value raised to an exponent.

Power notation is typically represented as a^n, where 'a' is the base and 'n' is the exponent. However, '343' can be written in power notation since it is 7 cubed (7^3).

So, while we should clarify the details, one way to write the expression could be -8 ÷ 7^3.

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Answer:?

Step-by-step explanation:?