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Answer:

She walks back for 4.2 hours

Step-by-step explanation:

Notice that we don't know the distance of the race (so let's name it "d").

She clearly would spend less time running (t1) the distance d at 7 mph, than when coming back walking (t2) at 3 mph.

But we know that the addition of both times must be 6 hours which is what she has to spend:

t1 + t2 = 6

Considering the equation that relates distance (D), time(t) , and speed (v) as:

v = D/t

we can solve for the times t1 and t2 in each trip (running vs walking){

t1 = d/7

t2 = d/3

then when we add these two equations term by term, we get:

t1 + t2 = d/7 + d/3

extract d common factor;

t1 + t2 = d (1/7 + 1/3)

replace t1 + t2 with the 6 hours:

6 = d (10/21)

multiply both sides by 21, and divide both sides by 10 to isolate d:

21 * 6 / 10 = d

d = 12.6 miles

Now knowing the distance she run and walked, we can find the time she spent walking back (t2)

t2 = 12.6 /3 = 4.2 hours

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

Answer:

20

Step-by-step explanation:

ok so for every 2 dogs is 5 so 2,5; 4,10; 6,15; 8,20.

Answer:

Step-by-step explanation:

I'm pretty sure the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

( ( 4 /10 x)(6) /4 x)(2) /3

Product:  2 /5 x^2

Simplified: You can't simply that.

(I hope this is correct, correct me if I'm wrong.)

Answer:

42.9

Step-by-step explanation:

Remember your decimal rules when doing long division

Answer:

6 8 10 12 14

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Answer:

The answer is 80. If you multiply 40 x 3 it is 120 and 40 x 2 is 80 so 2/3 of 120 is 80 NOT 40

Answer:

I would say 2 hours

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

that is what   thinkof ur answer

Answer:

Height=61 feet

Step-by-step explanation:

Height=sin 55 degrees x 75

Height=0.8192 x 75

Height=61.43

Answer:

4 6/15

Step-by-step explanation:

The picture will give the explanation of why I see 4 6/15

Answer:d and a

Step-by-step explanation:

Answer: below

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

Answer: 10/20 or 1/2

Step-by-step explanation:

10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half

Santa ate 10/20. right?

so you would subtract 10 from 20

which would give you 10

so Mrs. Claus also ate 10/20

-----

Another way to solve:

since 10/20 = 50%

Mrs. Claus ate the same amount

because 50% is half of 100% ( 1 whole )

So, Mrs. Claus ate 10/20

Answer:

so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned

Answer: Mean = $36,000 and standard deviation = $1000.

Step-by-step explanation:

The mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\mu\\\\Standard\ deviation = \dfrac{\sigma}{\sqrt{n}}[/tex] , where n =sample size.

Here, we are given

[tex]\mu=\$36000,\ \ \sigma=\$3,000[/tex]

n= 9

Then, the mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\$36000,\ \ Standard\ deviation=\dfrac{3000}{\sqrt{9}}=\dfrac{3000}{3}=\$1000[/tex]

Hence, Mean = $36,000 and standard deviation = $1000.

Number of years taken to reach the amount of $12,690 is 5 days,

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

                              [tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]

[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

0.184383 - 0.00002618= 365*t

⇒1843.5 =365*t

⇒t=5 days.

Hence, number of years taken to reach the amount of $12,690 is 5 days,

Learn more about compound interest here:

https://brainly.com/question/3989769

#SPJ1

Answer:

14,-3

Step-by-step explanation:

Answer:

14, -3

Step-by-step explanation:

I got it right edg 2023

Answer: how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

replace b with 3 and solve:

3² + 4 = 13

Answer:

(24x - 48y + 10) / 26 = a

Step-by-step explanation:

-12(-2x+4y) = 26a - 10

24x - 48y = 26a - 10

24x - 48y + 10 = 26a

(24x - 48y + 10) / 26 = a

Answer: 7/12 a light year I believe

Step-by-step explanation:

So what you do is you make the denominators of 1/2 and 1/12 the same which would be 6/12 and 1/12.

You then add them together and you get 7/12

I am sorry if this isn't right :< this is my 1st answer :>