The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?

Answers

Answer 1

Mr. Reed DATA:

rate = 40 mph ; time = x 4.5 hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x hrs ; distance = 60x - 210 miles

------

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)


Related Questions

what percent of 29 is 3 in equation form

Answers

Answer:

3=p*29

Step-by-step explanation:

Answer:

0.87

Step-by-step explanation:

(29×3) ÷ 100

but I'm not sure):

2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum

Answers

Answer:

mad- 8.9796

iqr- 15

q1- 88

q2- 92

q3- 103

minimum- 85

maximum- 120

Step-by-step explanation:

the explanation is the picture **sorry i couldn't help with the dot plot**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met

Answers

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

[tex]H_{0}: p \geq 0.6[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p < 0.6[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that:

[tex]\mu = 0.6[/tex]

[tex]\sigma = \sqrt{0.6*0.4}[/tex]

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]

[tex]z = -0.6[/tex]

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.

5 y minus 3 y + 12

The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.

Answers

Answer:

2y+12

Step-by-step explanation:

First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.

MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years

A.5,000x2x10

B.5,000x2^10

C.5,000^2x10

D.5,000^10

Answers

Answer:

Suppose profits were $1

At 1 yr profit = 2    (2)^1

    2 yr         = 4     (2)^2

    3 yr         = 8      (2)^3

    10 yr        = 1024    (2)^10

So the correct answer should be  5000 * (2)^10


One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.

Answers

Your numbers are 4 and 9

We’ll call the first number a, the second b.
a = b - 5
5a = 2b + 2
(if you’re not sure where I got those equations, just let me know in the comments.)

Then we’ll substitute the first value into the second equation:

5(b - 5) = 2b + 2
5b - 25 = 2b + 2
3b = 27
b = 9

a = b - 5
a = 9 - 5 = 4

20 POINTS PLS AWNSER

Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. What is the most appropriate domain of the function?

A) all integer values of x

B all positive integer values of x

C OsXs 2 where x is an integer

D OsXs 3 where x is an integer​

Answers

A, all integer values of x

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. The most appropriate domain of the function; A) all integer values of x.

How to evaluate a given mathematical expression with variables if the values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

The function is a type of relation, or rule, that maps one input to a specific single output.

Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store.

Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each.

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases.

The most appropriate domain of the function;

A) all integer values of x

Learn more about evaluating a function at a value here:

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include why or why not pls help

Answers

Answer:

Yes.

Step-by-step explanation:

If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)

Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?

A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.

Answers

C. 9 years.
Hopefully this helps

Which expression is equivalent to square root a^7

Answers

Answer is d

Step-by-step explanation:

If you multiply a^6 and a it equals a^7

The red string r is 20 centimeters less than 5 times as long as the orange string s ." ​This can be represented by the expression r = 5 s − 20. Find the length of the red string​ if the length of the orange string is 10 centimeters. ​ The length of the red string is ​ centimeters.

Answers

30 Im pretty sure :>

voting rates in presidential elections from 1996-2012 are modeled below

Answers

Juiuiiijkkkkkkkkkkkkkkkkkk

The statement that does not model the situation:

(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.

What is a confidence interval?

A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Given:

Voting rates in presidential elections from 1996-2012 are modeled below.

Voting Rates in Presidential Elections, by Age, for the Voting-Age Citizen Population: 1996-2012

The interpretation of the statements is given below;

(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.

No, the greatest was in the year 2008.

(2) From 1996-2012, the average rate of change was positive for only two age groups.

True, the age groups are 39.6 to 45.0 and 69.1 to 72.0.

(3) About 70% of people 45 and older voted in the 2004 election.

Yes.

(4) The voting rates of eligible age groups lie between 35 and 75 percent during presidential elections every 4 years.

Yes, the interval difference is 4.

Therefore, option (1) is incorrect.

To learn more about the confidence interval;

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solve for x without using a calculator
x^4+81=0​

Answers

X^4+81=0 sorry if I got it wrong I apologize

Answer:

the answer to the equation is x= -3

Maria bought apples(a) for $2.32 per pound and bananas(b) for $1.65. She spends $31.42. Write the equation for this situation.

Answers

Answer:

$31.42-(2.32+1.65)

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, while in English, any equality is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.

If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next

Answers

Answer:

OD. 6

Step-by-step explanation:

- 63 y^5
27y^7
- 18y^9
Take out the common factor ​

Answers

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

Please answer this correctly!!!

Answers

Answer:

The answer would be D

Step-by-step explanation:

X = 3.9 *10^7 - 1.3 * 10^6

X= 3.7 * 10^7

Answer will be d my friend

Daily Distance Larry Biked (Km)

3 5 12 2 1
8 5 8 6 3
11 8 6 4 10
10 9 6 6 6
5 2 1 2 3
What was the most common Distance Larry Bike?help please

Answers

Answer:

The most common distance that Larry biked was of 6 Km.

Step-by-step explanation:

The most common distance that Larry biked is the number, in Km, which appears most frequently in this table.

The number which appears the most frequently is:

6 km

This means that the most common distance that Larry biked was of 6 Km.

prove trigonometric identity:

[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help​

Answers

from the pic above, hope it helps you

please i’ve gotten two wrong and i need to pass this

Answers

Answer:5 and 92

Step-by-step explanation:

Answer:

Step-by-step explanation:

what's the answer choices ??

The diameter of a circle is 26 yards. What is the circle's circumference?
Use 3.14 for a
yards
Submit

Answers

Answer: 26 yards

Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.

I'm not sure if it works in every case but you can try it ^^

What is the value of x???

Answers

Answer:

22.5

Step-by-step explanation:

22.5 x 3 = 67.5

67.5 + 22.5 = 90

22.5

22.5x3=67.5
67.5 + 22.5=90

Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high. She is building with cubes that have side lengths of 12 meter. What is the volume of the box she needs to build in cubic meters?

Answers

9514 1404 393

Answer:

  1344 cubic meters

Step-by-step explanation:

The volume is the product of the dimensions for a rectangular prism:

  V = LWH

  V = (4 m)(3 m)(112 m) = 1344 m³

Kate needs a volume of 1344 cubic meters.

4x + 3 2x+9 solve for x

Answers

4x+3+2x+9=180
6x+12=180
6x=168
x=28

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

FOR VERIFICATION ONLY:-

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84​

Answers

Answer:

below

Step-by-step explanation:

first count them up

17

divide it by 16 its d

The probability of picking any color balloon except for red at random is 82%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Red balloon = 3

Blue balloon = 2

Pink balloon = 2

Green balloon = 2

Orange balloon = 2

light Blue = 1

Yellow balloon = 2

Purple balloon = 2

So, the probability of picking any color balloon except for red at random

= 13/ 16 x 100

= 81.25 %

Thus, the required percentage is 82%.

Learn more about Probability here:

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∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)

and m\angle B=(3x+28)^{\circ}∠B=(3x+28)

, then find the measure of \angle B∠B.

Answers

Answer:

x + 10 + 3x + 28 = 90

4x = 52

x= 13

Step-by-step explanation:

Angle B = 67

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?

Answers

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!

Answers

Answer:

30 ounces of cheese

Step-by-step explanation:

12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving

20 x 1.5 = 30 so 30 ounces of cheese

help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)

Answers

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

If y varies inversely as x and x=4 when y=16 find x when y=9

Answers

Answer:

x=3

Step-by-step explanation:

x^2=y

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