The product of two consecutive room numbers is 210. Find the room numbers.

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:

(8, 15]

Step-by-step explanation:

If ∠A is bigger than 90 then that means 12x-6 > 90

12x > 96

x > 8

and we know that the angle must be between 0 and 180. so 12x < 186

x <= 15

Answer:

the answer is A.y=4x+7

Step-by-step explanation:

Line M is parallel to the line L, so the equation for line M isy=4x+b

Plug in the coordinates of the point (2,15) , you get:

15=4*2+b

Solve that to get b=7

Therefore the equation of line M is y=4x+7

Answer:

It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

x2−5x+6x2−2x−3x−6(x−2)(x−3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

Division by zero is undefined, so x≠-2 and x≠-3.

Vertical asymptotes: x=-2, and x=-3

As x approaches ∞, f(x) approaches 2.

As x approaches -∞, f(x) approaches 2.

Horizontal asymptote: y=2

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: 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.

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:

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:

13

Step-by-step explanation:

replace b with 3 and solve:

3² + 4 = 13

( ( 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: 1,222

Step-by-step explanation:

I would set this up as a fraction

3/2=1833/x

I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.

Another option is to cross multiply

3x=2(1833)

1833*2=3666

Divide 3x by 3 to get x alone

Divide 3666 by 3 to get answer

1222

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:

-2

Step-by-step explanation:

Answer:

it is 24

Step-by-step explanation:

Answer:

Step-by-step explanation: C %100

Answer:

I believe it is d but don't quote me on it

Answer:

7/4 +1/6 +X=15/2

1/6+X=15/2-7/4

1/6+X=30/4-7/4

X=23/4 - 1/6

X= 138-4/24

134/24

5.58333

Step-by-step explanation:

Answer:

6 4/12

Step-by-step explanation:

1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2

Answer:

?????

Step-by-step explanation:

Answer:

4 6/15

Step-by-step explanation:

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

Answer:

24.5 inches

Step-by-step explanation:

area of trapezoid: (b1 + b2 /2) h

Answer:

14,-3

Step-by-step explanation:

Answer:

14, -3

Step-by-step explanation:

I got it right edg 2023

Answer:

I would say 2 hours

Answer:

60 degrees

Step-by-step explanation:

90 digress minus 30 degrees will be 60 degrees

Answer:

B.Arithmetic

Step-by-step explanation:

because the terms have a first common difference

the rate of change is 4

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 :>