Alexa and Savannah are both driving along the same highway in two different cars to
a stadium in a distant city. At noon, Alexa is 600 miles away from the stadium and
Savannah is 350 miles away from the stadium. Alexa is driving along the highway at a
speed of 50 miles per hour and Savannah is driving at speed of 25 miles per hour. Let
A represent Alexa's distance, in miles away from the stadium t hours after noon. Let
S represent Savannah's distance, in miles, away from the stadium t hours after noon.
Graph each function and determine how far both Alexa and Savannah are from the
stadium at the moment they are an equal distance from the stadium.

Answers

Answer 1
A=600-50t
S=350-25t

600-50t = 350-25t
600=350+25t
250=25t
t=10 hrs when they are the same distance.

At 10 hrs, they are 100 miles away from the stadium

Related Questions

Which fraction is equivalent to 1?

One-half
Eight-sixteenths
Eleven-twelfths
Nine-ninths

Answers

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of a in the right triangle shown below?

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Answer:

Step-by-step explanation:

4. List two solids for which the formula V = Bh applies and 2 for which V = Bh does
not apply.

Answers

Step-by-step explanation:

V = Bh applies for :

1. the volume of prism

2. the volume of cylinder

V = Bh doesnt apply for :

1. the volume of pyramid

2. the volume of cone

The two solids where the formula V = bh applied is are prism volume, and cylinder volume. And, where the formula V = Bh does not apply is pyramid volume and cone volume

Listing of two solids:

(1) Applied of formula V = Bh is :

The volume of a prismThe volume of the cylinder

(1) Not Applied of formula V = Bh is :

The volume of the pyramidThe volume of a cone

Learn more about the solid here: https://brainly.com/question/20784784

Plsss help!!!!!!!!!!!

Answers

you’re correct, it’s the first option

3/4 * 8 WITH EXPLANATION PLEASE
I WILL MARK YOU BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.

Can someone please help me with question 7 8 and 9 please

Answers

Answer:

7. n (Division sign) -5+1<7 = n<11   8. n (division sign) 3-2>-12= n>11      9. -2 x n-6>-18= n>-10

Step-by-step explanation:

I think this is right

. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal placesA. The Rudely Disagrees condition has a mean of 3.82 and a standard deviation of 0.85 while the Politely Disagrees condition has a mean of 4.16 and standard deviation of 0.97.B. The Rudely Disagrees condition has a mean of 4.16 and a standard deviation of 0.97 while the Politely Disagrees condition has a mean of 3.82 and standard deviation of 0.85.C. The Rudely Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the Politely Disagrees condition has a mean of 3.82 and standard deviation of 0.97.D. The Rudely Disagrees condition has a mean of 3.82 and a standard deviation of 0.97 while the Politely Disagrees condition has a mean of 4.16 and standard deviation of 0.85.E. The Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the Agrees condition has a mean of 3.82 and standard deviation of 0.97.

Answers

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

plz plz plz plz help me​

Answers

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

For each of the following situations, state the predictor variable and the outcome variable.

a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per 100,000 drivers is compared to the age of drivers.
b. A study is done to determine if the weekly grocery bill changes based on the number of family members.

Answers

Answer:

Part a

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Step-by-step explanation:

Part a)

Predictor variable is basically independent variable whose influence is studied on the  dependent variable or the outcome variable

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

2(x + 4)2 = 20 solve by square roots

Answers

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.

Answers

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  [tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]

So, the sum can be written as ...

  [tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]

_____

It appears that the key to choosing the correct answers is paying attention to signs.

Answer: Step number 2 is 287,980

Step-by-step explanation:

Just did the assignment.

Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?

Answers

220,000 times 3.82 = 840400 divided by 30 equals 28,013

The total interest on the loan will be $457,412,82892.

What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.

We can find the total interest on loan, using the formula -

I = {P(1 + APR/100)^t − P}

The principal amount of loan = $220,000

Compound APR = 3.82%

Time = 30 years

Using the formula, we get -

220,000[1 + 0.0382]^30−220,000

220000{[1 + 0.0382]^30 - 1}

$457,412,82892

Therefore, the total interest on the loan will be $457,412,82892.

To solve more questions on mortgage loans, visit the link below -

https://brainly.com/question/28865502

#SPJ1

What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.​

Answers

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

1 hour 42 minutes 1 hour 32 minutes+1 hour 38 minuts+1 hour 30 minutes

Answers

Answer:

382

Step-by-step explanation:

Just add all of them and 1 hour equals 60 mins

First, lets add the hours.

1 hour + 1 hour + 1 hour = 3 hours

Now, let's add the minutes,

42 minutes + 32 minutes + 38 minutes + 30 minutes = 142 minutes

1 hour = 60 minutes

How many grouped 60's are there in 142? There are 2 full 60s in 142 minutes.

2 60s = 120 minutes

Add 2 hours, but subtract 120 minutes.

142 minutes - 120 minutes = 22 minutes

So, the final answer is 5 hours and 22 minutes.

If this helps, please mark brainliest!

Have a wonderful day!

How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15

Answers

Answer:

b

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

12 yd and 2 ft

Step-by-step explanation:

what does y intercept mean ?​

Answers

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

What is the missing term?

Answers

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

-15 is the answer for your question

solve for b
b − 326 = 411

Answers

Answer:

b = 737

Step-by-step explanation:

b - 326 = 411

  + 326 +326

b = 737

Answer:

b = 411 - 326

b = 85

I hope this will be helpful

Write the equation of a circle with a center at (-12, -11) and a radius of 7.​

Answers

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

Please help me with my homework and thank you

Answers

Answer:

14.4 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 36 m

Height of building (H) = 33 m

Length of shadow (L) =?

The length of the shadow can be obtained as follow:

Hypothenus² = H² + L²

36² = 33² + L²

1296 = 1089 + L²

Collect like terms

1296 – 1089 = L²

207 = L²

Take the square root of both side

L = √207

L = 14.4 m

Therefore, the length of the shadow is 14.4 m

jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years

Answers

Answer:

9927.5$

Step-by-step explanation:

4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.

Find the slop help please

Answers

y= mx + b is the formula for the slope.
The answer to your question is 2 hopefully i did right just like the formula

a coin collection consists of nickels, dimes, and quarters, and has a total value of $3.30. there are three times as many nickels as quarters. how many coins of each kind are there if the number of dimes is three less than the average of the number of quarters?

Answers

Answer:

18 nickels, 9 dimes, 6 quarters.

Step-by-step explanation:

Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.

Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why

Answers

Answer:

H0 : σ = 0.5

H0 : σ < 0.5

Step-by-step explanation:

From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.

Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.

H1 : σ < 0.5 ;

Therefore, our null will be ;

H0 : σ = 0.5

I need answer plz I beg I will give you a good rating and also points.

Answers

Answer:

44.95+x <= $250

Step-by-step explanation:

its the second option

she spent $44.95 on the 2 books she already bought. if x represents what she has left to spend, the total has to be LESS THAN or EQUAL TO $250 when they're added, so the second option is correct.

what is 7,548,392 rounded to 100

Answers

Answer:

7,548,400

Step-by-step explanation:

what is the best answer for 7/8 = ?/48

Answers

I’m pretty sure the answer is 42.

How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.2
×
10
8

plzzzzzzzz help for a brainly

Answers

Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

The correct answer is 45°. A straight line has an angle of 180°, so you need to subtract 135° from 180°, which gives a result of 45°
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