Mark made a business trip of 259.5 miles. He averaged 59 mph for the first part of the trip and 57 mph for the second part. If the trip took 4.5 hours, how long did he
travel at each rate?

Answers

Answer 1

Answer: He spends 1.5 hours on the first part of trip and 3 hours on the second part of trip

Step-by-step explanation:

Let x = the number of hours for first part

Let y = the number of hours for second part

Concept: speed × time = distance

----------------------------------------------------------------

x+y=4.5

59x+57y=259.5

-----

y=4.5-x

59x+57y=259.5

-----

59x+57(4.5-x)=259.5

59x+256.5-57x=259.5

2x+256.5=259.5

2x=3

x=1.5

4.5-1.5=3 hrs


Related Questions

Evaluate the expression if x = 3, y = 4 and z = 5. 6y - 2xy​

Answers

Answer:

the answer is 0

Step-by-step explanation:

6 (4) -2 (3)(4)

24-24=0

PLS HELP WILL MARK BRAINLIEST!

Answers

No picture to help you

Please help :) which angles are supplementary

Answers

Answer:

The first one BED and DEA. AEC and BEC.

Step-by-step explanation:

Supplementary angles are 2 angles that when added equals 180. Also, if there are no numbers given, the 2 angles should make a straight line when next to each other.

16. The price of an item will increase by RM4 every month. If the current price
is RM258, find its price in ten months' time.

Answers

RM298

reason: multiply RM4 by 10 to get RM40 and add that to RM258 to get RM298

Answer:

Sol:

The current price of item = RM258

The price that increases every month = RM4

Now,

It's price in ten month's line= Current price + 10 X increased price per month

= RM 258 + 10X RM4

=RM 258+ RM 40

= RM 298

Therefore, it's price in ten month's line will be RM 298

PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!

Answers

Answer:

A. Graph B

Step-by-step explanation:

The reasoning is because the 2 lines are parallel; therefore, it is impossible for them to overlap or intersect, which is the only way a solution can be found. Parallel lines can never have a solution. Hope this helped!

Should be graph b as the answer

Add 15,7,.5 step by step please I'll mark u brainlest PLEASE

Answers

Answer:

27

Step-by-step explanation:

15+5=20

20+7=27

Answer: 27

Step-by-step explanation:

15+5=20

20+7=27

The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe reduced picture?

Answers

Answer:

The answer is 3.825 inches, the reduced picture will be 84% of the size of the original

Answer:

3.78 inches

Step-by-step explanation:

if the original length is 4.5 and we are making it 84 percent of that size we multiply 4.5 times 84 percent(that is 0.84).

If we type in 4.5 * 0.84 on a calculator the answer comes back as 3.78

so the answer is 3.78 inches

find how many natural numbers are there between 80 and 120​

Answers

Answer:

40

Step-by-step explanation:

Natural numbers are numbers that occur commonly in nature and are whole non-negative numbers. Therefore, there are 40 natural numbers between 80 and 120.

The last one Please answer asap im still crying

Answers

Answer:

He has 12 ten dollar bills

Step-by-step explanation:

Let t = number of 10 dollar bills

f = number of fifty dollar bills

t+f = 25  since he has 25 bills

solving for f

f = 25 -t

Then we know he has 770 dollars

10t+50f = 770

Using f = 25-t in the above equation

10t + 50 ( 25-t) = 770

Distribute

10t+ 1250 - 50t = 770

Combine like terms

-40t+1250 = 770

subtract 1250 from each side

-40t - 1250-1250 = 770-1250

-40t = -480

divide each side by -40

-40t/-40 = -480/-40

t =12

He has 12 ten dollar bills

Write an equation in slope intercept form for the line described. slope -1/2, passes through (0,5)

Answers

Answer:

y=-1/2x+5

Step-by-step explanation:

One of the specialties at Dixie’s Cafe is vegetable stew, which simmers over a low flame all day. Since the cooking time is so long, Dixie must decide in the morning how many servings of the stew to cook for that night’s dinner service. Moreover, the stew cooked on a given day cannot be served the next day; it must be thrown away. Vegetable stew is the highest-profit item on the menu at Dixie's Cafe. It earns Dixie a profit of $8. Demand for in-flight meals Cumulative d Probability f(d) Probability F(d) 40 0.01 0.01 41 0.03 0.04 42 0.04 0.0843 0.05 0.1344 0.08 0.2145 0.09 0.346 0.12 0.42 47 0.13 0.55 48 0.17 0.7249 0.12 0.8450 0.08 0.9251 0.03 0.95 52 0.02 0.9753 0.02 0.01 54 0.99 1 serving, whereas all the other items earn a profit of $4. Customers who want stew but find it out of stock will order one of these other items. The ingredients for one serving of stew cost the Cafe $2.50. A) First suppose that the demand for stew on a given evening is normally distributed with a mean of 18 and a variance of 16. How many servings of stew should Dixie prepare in the morning? (Fractional servings are OK). What is the expected cost (ingredients and lost profit) of the optimal solution? B) Now suppose that the demand is distributed as an exponential random variable with mean 18. How many servings should Dixie prepare?

Answers

Answer:

what the hell i cant under stand u need to press enter more

Step-by-step explanation:

What type of number is pie/2 ?

Answers

Answer:

its a irrational number

Name: Graphing in the Coordinate Plane
PLS I NEED YOUR HELP​

Answers

Basically all you have to do is go over (left from the center 5 spots) to -5 and up 3. You do x before y always. Then you put a p there because that is point p. I hope this helps you

#16 What are the coordinates of S?

Answers

The answer is F(-5.5,1)

Regarding a regression model, which of the following description is wrong? Say x is predictor and y is the outcome.a. Without the regression model, the best prediction of y is the mean of y.b. The amount of variability in y that can be explainedc. The regression line does not always pass through the point (X, Y)d. The regression models can have more than three predictors at the same time.

Answers

Answer:

D)

Step-by-step explanation:

The regression model can have one or more predictor (x dependent variable)  at the same time.

What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. An unknown value represented by a box is being subtracted from 839. Numerical Answers Expected! Answer for Blank 1: Look at the pic

Answers

Answer: The answer is 720

Step-by-step explanation: I started off by guessing a random number, i picked 10. So i multiplied 12x10 and i got 120. I added 120 with 120 until i got something close enough (720.) I got it right on the test as well- :)

Here is a polygon on a grid. An L shaped figure on a square grid. Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.

Answers

Answer: the perimeter of this L shaped figure is 10 units, so scaling it by 3× would make the perimeter 30 units. so the scale factor is 3

The scale factor of the figure is 3 units.

We need to draw a scaled copy of this polygon that has a perimeter of 30 units and also we need to find the scale factor.

What is the scale factor?

The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.

If the sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor.

Now, scale factor = Scaled perimeter/Actual perimeter

From the figure, the perimeter of the figure is 10 units.

So, scale factor = 30/10 =3 units

Therefore, the scale factor of the figure is 3 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

[tex]0.05x^{2}[/tex]how do i evaluate 0.05

Answers

You divide 0.05 by two

Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the initial-value problem corresponding to y(0)=2 and y′(0)=10.

Answers

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

PLZ HELP I"LL GIVE BRAINLIEST TO THE BEST ANSWER AND 5 STARS AND A THANKS. PLZ ITS IN THE PICTURE!!!

Answers

you will put them as a fraction and divide them and when you divide them like for the first one it 6/2 12/4 18/6 amd when you divide each one u will get 3 for each one and put 3 over 1 and still will be 3 i hope that made since: )

Answer:

The constant of proportionality is 1/3.

Step-by-step explanation:

You can find this answer by taking two coordinates shown and put them into a fraction form.

Example:

The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.

To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.

So 1/ 3 is correct.

Or take a look at the graph...

the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.

What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x= 3
B. x = 8
C. x = 12
D. x = 21​

Answers

Answer:

21

Step-by-step explanation:

5x-3x=18+15-9

2x=42 /:2

x=21

How do I solve this?
2^5 - 4^2 / 2^2

Answers

Answer:

28

Step-by-step explanation:

4 squared is equal to 16

2 squared is equal to 4

16÷4=4

2 to the fifth is 32 (2x2x2x2x2)

32-4=28

Hope this helps :-)

28 is the answer the answer above has the explanation

the positive square root of 28?

Answers

Answer:

is 4 i think

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​

Answers

Answer: being similar means they are in the same ratio. so x = 12

Step-by-step explanation:

first put it into a ratio, 4/x =2/6 and answer it like an equation.

4/x=2/6 (cross multiply)

24=2x

x=12

Answer:

x = 12

Step-by-step explanation:

The only full "pair" of sides is 2 on the little polygon and 6 on the big polygon. The relationship between them is 3. 2 × 3 = 6

Now, apply this to the pair we are using: 4 × 3 = x

4 × 3 = 12, so x equals 12.

6+4m-1=21

I think this is the last question so please be quick and help!

Answers

Step-by-step explanation:

5+4m=21

4m=21-5

4m=16

m=16/4

m=4

Answer:

m=6

Step-by-step explanation:

(6)+4m(-1)=21<subtract 6-1

(-5)+4m=(21)<subtract 5 to both sides

(4m)=(26)<divide

Jack picks 5 pounds of apples in 8 minutes. Jill picks 6 pounds of apples in 10 minutes. Working together at these rates, how many pounds of apples will they pick in 40 minutes?

Answers

jill will pick up 24 and jack will pick up 25

c.
A train is traveling 1 mile every 75 seconds. If the train continues at this rate, then how
far will it travel in two hours?

Answers

Answer:

96 miles.

Step-by-step explanation:

2 hours = 2*60*60 = 7200 seconds.

So the required distance = 7200/75

= 96 miles.

Answer:

96 miles

Step-by-step explanation:

i did this a few months ago (coincidence I think not)

The information below represents the costs of Maggy’s home ownership. what does Maggy spend on average per month related to her home? Mortgage $1,309 per month

Answers

$2,152.58.

You can add the per month straight up, but you have to divide the annual costs by 12 (12 months in a year). Add all the numbers together, and you get (roughly) 2,152.58.

Help please Thanks homework help

Answers

Answer:

30

Step-by-step explanation:

3x+x=4x

40+20=60

180-60=120

120/4=30

Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4

Answers

Answer:

D

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{1}{5}x+4[/tex]

To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:

[tex]x=\frac{1}{5}f^{-1}(x)+4[/tex]

Subtract 4 from both sides:

[tex]x-4=\frac{1}{5}f^{-1}(x)[/tex]

Multiply both sides by 5:

[tex]f^{-1}(x)=5x-20[/tex]

So that's our inverse :)

So, our answer is D

Answer:

D

Step-by-step explanation:

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