The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer 1

Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.


Related Questions

A mathematical phrase represented by numbers, variables, and operations is a(n)
A. expression.
B. equation.
C. substitution.
D. exponent.

Answers

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Answer:

The other person is correct

Step-by-step explanation:

i got a 100

Refer to the diagram shown.
35°
25
t
DE
M
4
N
R
6
Q
What is m 2 MNT?
m2 MNT =

Answers

Answer:

what subject?

Step-by-step explanation:

The measure of <MNT = 142.17

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

PR= 6+ 4= 10 unit

So, using trigonometry

tan 25 = PT/ PR

0.466 = PT / 10

PT= 4.66 unit

Now, In ΔNPT

tan <TNP = P/ B

tan <TNP =  4.66/6

tan <TNP = 0.7766

<TNP = 37.83

Now, <MNT + <TNP = 180 {Linear pair}

<MNT = 142.17

Learn more about Trigonometry here:

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Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010

Answers

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

Why does Anthony read the preamble to the constitution in her speech, women’s rights to the suffrage

Answers

to emphasize that the United States was founded to secure the rights of everyone
to highlight that each individual state should get to decide who is allowed to vote

Answer:

to emphasize that the United States was founded to secure the rights of everyone

to highlight that each individual state should get to decide who is allowed to vote

Step-by-step explanation:

Jim has two cardboard boxes . Each box has a width of 5 feet and a height of 3 feet . If one box has a length of 2 feet and the other has a length of 4 feet , what is the total volume of both boxes ?​

Answers

Answer:

box 1 =30 box 2= 60

Step-by-step explanation:

box 1 = 5 times 3 times 2 = 30

box2 = 5 times 3 times 4 = 60

Answer:

30 + 60=90 or 90 Cubic feet

Step-by-step explanation:

Box 1:

V= (3)(5)(2)

V= 30

Box 2:

V= (3)(5)(4)

V= 60

What is the line of symnmetry for the function y = x2 – 2x + 6

Answers

Answer:

Replace x with −x and y with −y

to check if there is the x-axis, y-axis, or origin symmetry.

Not symmetric to the x-axis

Not symmetric to the y-axis

Not symmetric to the origin

but

Find the axis of symmetry-

x=1

Step-by-step explanation:

Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b

Answers

Answer:

A=1, B=1

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]

Where:

h = x-intercept

k = y-intercept

We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:

[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]

Multiplying by 8:

x + y = 8

Thus, the values of A and B are:

A=1, B=1

What is the slope-intercept equation for the following line? I need help answering​

Answers

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

A xbox is marked down $75. If this is a 15% decrease, find the sale price?

Answers

9514 1404 393

Answer:

  $425

Step-by-step explanation:

After the decrease, the sale price is 100% -15% = 85% of the original price. Of course, the markdown is 15% of the original price. Then the ratio of sale price to markdown is ...

  (sale price)/(markdown) = (85%)/(15%)

  sale price = markdown × 85/15 . . . . . multiply by markdown

  sale price = $75 × 85/15 = $425

The sale price of the x-box is $425.

Up all the road 6 meters in 12 seconds. What is the speed?​

Answers

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5

Answers

Step-by-step explanation:

it will 2.5 this is right answer option D

The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a sequence:

12, 30, 75, 187.5

The above sequence is a geometric sequence.

The common ratio can be calculated:

r = 30/12 = 75/30

r  = 2.5

Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

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Find the cost of Each Treat:
Total:
$25.71
$24.414
O
$25.71
Total:
$25.71
$23.21
$26.94
Help please rly fast.
I’ll rate you very good and do whatever. Thanks

Answers

Answer:

Ice cream is 8.98

Step-by-step explanation:

City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150?​

Answers

Answer:

D

Step-by-step explanation:

The distribution is approximately normal, and the mean is 0.46.

Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml

Answers

Answer:

the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 46 bottles are randomly selected, find the probability that the mean content is

- Less than 102.1 mL. (Draw the bell curve)

Between 99 mL and 102.1 mL

5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation . assume the population is normally distributed

After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?

Answers

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?​

Answers

Sorry for bad lighting - hope this helps ( correct me if this is wrong!)


10 points Find the missing angle.

Answers

Answer: 63

Step-by-step explanation:

Add the two numbers you have then subtract from 180 because a triangle is 180 degrees

63 is the answer hope this helps

Are the two triangles similar

Answers

Answer:

yes

Step-by-step explanation:

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

can someone help me please

Answers

Answer:

y-intercept = 1

Slope = 4

Step-by-step explanation:

First, we know that the point-slope equation of a line is given as y = mx + b. Where,

m is the slope, and

b is the y-intercept.

Now let's use this knowledge to solve the given problem.

✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?

Our answer is "1".

y-intercept = 1

✔️Slope of y = 4x - 3:

The slope (m) in this equation is 4.

I really need help thanks​

Answers

Answers would be 9,10, and 11!

What is half of 9 minutes and 28 seconds

Answers

4 minutes and 44 seconds. Half of 9 minutes is 4 minutes and 30 seconds half of 28 seconds is 14 seconds. If you add 4 minutes and 30 seconds and 14 seconds you get 4 minutes and 44 seconds.

One minute contains 60 seconds. The half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

How are minutes and seconds related?

A minute can be expressed in terms of seconds by the relation:

[tex]1 \: \rm min. = 60 \: \rm sec.[/tex]

9 minutes = [tex]9 \times 60 = 540 \: \rm sec.[/tex]

Thus, 9 mintues and 28 seconds = 540 + 28 = 568 seconds.

Its half would be:

[tex]\dfrac{568}{2} = 284 \: \rm sec.[/tex]

Dividing it by 60 to convert it back to minute and second form, we get:

Quotient = 4, remainder = 44

The remainder is still not divided by 60, so its in minutes.

But the quotient is the divided part of 284 by 60, so its in minutes.


Thus, 284 seconds = 4 mintues + 44 seconds.


Thus, the half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

Learn more about time here:

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What is an angle that is complementary to DGE?

(Please hell I’ll reward)

Answers

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Find the value of each variable for y and z

Answers

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =

Answers

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

Distance around an unmarked circle can be measured (always, sometimes, never)

Answers

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

can someone help me?

Answers

Step-by-step explanation:

the answer would be

4

2

1

3

5

Find the value of x.
a.17
b.12
c.40
d.18
e.none are correct

Answers

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    [tex]S = (n - 2)180[/tex]

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> [tex]S = (7-2)180[/tex]

---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]

---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]

---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]    

5) This means that ---> [tex]51x + 288 = 900[/tex]

Subtract 288 from both sides  and get:

---> [tex]51x = 612[/tex]    (900-288 = 612)

Then divide by 51 from both sides and get:

---> [tex]x = 12[/tex]     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

Hope you understood and have a nice day!! :D

kirana buys boxes of crackers that each has the same cost x. she represents the cost of 3 boxes of cheese crackers, 5 boxes of poppy seed crackers, and 4 boxes of plain crackers using the expression 3x+5x+4x. What equivalent expression can represent the cost.

A. 3•5•4•x
B. 10x
C. 12x

Answers

Answer:

c. 12x

Step-by-step explanation:

It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?

Answers

It would cost about $98.06 sorry if this is wrong

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

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