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

Answer:

Mr. Reed DATA:

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

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

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

Step-by-step explanation:

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Related Questions

Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3

HELPP

Answers

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

-1.5, -(-2), 2.5, 8/3

2 and 1/2 cups equal how many pints in fraction form

Answers

Answer:

1 1/2 pinyt

Step-by-step explanation:

Solve and check please i need help

Answers

36/6 = 6
X = 36
So x is 36

Can someoneee please help me

Answers

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

Please Help please .

Answers

Answer:

i believe the answer is y =5

(13)^2 = (12)^2 +( y)^2

169= 144 + y^2

169-144= y^2

25= y^2

5 = y

Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

Liam and Michael are going to play video games this afternoon.

Then, Liam going to play video games = 38

Michael going to play video games = 2

In 38 video games and 2 video games are exactly what Liam and Michael need.

So,

We can write,

Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]

As only one case is possible,

That is, [tex]2C_{2}[/tex] = 1

Probability = 1/(38!/(38-2)!2!)

= 1/(38!/36!2!)

=( 2! * 36! )/38!

= (2! * 36! )/38!*37!*36!

= 2!/38!37!

= 1/19!37!

= 1/703

= 0.001422

Rounding to nearest million ( 5 decimal )

Required probability = 0.001422

Therefore,

The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

To learn more about information visit Probability :

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A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.
[ ? ] km
Round to the nearest tenth.

Answers

9514 1404 393

Answer:

  73.5 km

Step-by-step explanation:

The magnitude can be found from the law of cosines. The angle between the two vectors is 140°, so the magnitude is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

  c^2 = 32^2 +46^2 -2·32·46·cos(140°) ≈ 5395.2348

  c = √5395.2348 ≈ 73.452

The magnitude of the resultant vector is about 73.5 km.

what is 15 grams in mcg?​

Answers

Answer:

15000000.00 mcg

Step-by-step explanation:

Can someone please help me? I need someone to answer and explain, I’ll reward points + brainalist (btw only need help with 13)

Answers

Answer: 5982

Step-by-step explanation:

The area of the rectangle is L*w so 100*50= 5000

the area of the semi-circle on top is

[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]

Total area is 5000+981.75= 5981.75

round up to 5982

How many times larger is the volume of Figure B than Figure A?

Answers

Answer:

k

Step-by-step explanation:

Which side lengths form a right triangle?
Choose all answers that apply:
A
5, V6, V31
B
15, 5,50
C 9, 12,15

Answers

Answer:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](c)\ 9, 12, 15[/tex]

Step-by-step explanation:

Required

Side lengths that form a right triangle

Applying Pythagoras theorem

[tex]a^2 = b^2 + c^2[/tex]

Where a is the longest side.

So, we have:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]

[tex]31 = 25 + 6[/tex]

[tex]31 = 31[/tex]

This forms a right triangle

[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]

[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]

[tex]2500 = 5 + 5[/tex]

[tex]2500 \ne 10[/tex]

This does not form a right triangle

[tex](c)\ 9, 12, 15[/tex]

[tex]15^2 = 12^2 + 9^2[/tex]

[tex]225 = 144 + 81[/tex]

[tex]225 = 225[/tex]

This forms a right triangle

Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6

Answers

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83


What is the solution to the equation?

Answers

Answer:

r = 29.82

Step-by-step explanation:

r/7.1 = 4.2

r = 7.1 x 4.2

r = 29.82

Answer:

29.82

Step-by-step explanation:

First, we multiply all terms by the same number to get rid of the denominators.

71 x /71/10 = 71 x 42

Next, we cancel the multiplied terms in denominator.

10 = 71 x 4.2

Solve!

10 = 29.82

A person is driving a car on a straight road. The graph shows the distance y in
miles that the individual is from home after x hours.
Find the slope-intercept form of the line.
y=x+
n

Answers

Answer:

Step-by-step explanation:

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

We have,

The point-slope form of a linear equation is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line.

The slope (m) using the given points:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values from the given points (1, 50) and (3, 120).

m = (120 - 50) / (3 - 1)

= 70 / 2

= 35

Use (1, 50)) and substitute its coordinates into the point-slope form:

y - y₁ = m(x - x₁)

y - 50 = 35(x - 1)

Simplifying further:

y - 50 = 35x - 35

y = 35x - 35 + 50

y = 35x + 15

Therefore,

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

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find the perimeter of the figure​

Answers

Answer: [tex]9 \frac{1}{2} x+5[/tex]

Step-by-step explanation:

In order to find the Perimeter, we add all the segments up.

 (2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)

=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis

=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same                              

                                                                  denominator

=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together

=(9x+1/2x)+5 ⇔ Combine like terms

=9 1/2 x +5

Hope this helps!! :)

Please let me know if you have any questions

1/2 log2x=3log23 rewrite with out using logarithmic

Answers

Answer:

729

Step-by-step explanation:

[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]

[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]

[tex]\sqrt{x} =27 \\[/tex]

x=27²=729

1895 x 7895+ 6575-1.753=?

Answers

Answer:

Step-by-step explanation:

1895 x 7895 + 6575 - 1.753

14961025 + 6575 - 1.753

14967600 - 1.753

14,967,598.247

please help! I get how to do the first part I just don't get how to do the second part.

Answers

9514 1404 393

Answer:

  WX = 33

  (x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

  WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

  WX = 33

__

The hash marks also tell you ...

  PW = WS

  y +4x = 18 . . . . . . substitute the given expressions

and also

  QX = XR

  2y +x = 22 . . . . . substitute the given expressions

__

If you solve the first equation for y, you get ...

  y = 18 -4x

Substituting that into the second equation gives ...

  2(18-4x) +x = 22

  36 -7x = 22 . . . . . . . simplify

  14 = 7x . . . . . . . . . . . add 7x-22 to both sides

  2 = x . . . . . . . . . . . . divide by 7

  y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

__

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

Solve each equation. If there is no solution, write no solution.
1. 161 = }
2. 10 = 1
3. Ini + 2 = 5
4. 4 = S - 3
5. x - 5 = -1
6. Zld= 49
7. Ir - 9] = -3
8. IC + 3 = 15

Answers

Number one and seven and three also six is no Solutions

Find the degree of the monomial (question in image)

Answers

im pretty sure the answer is 13! :)

Answer:

The answer to this question is 13

Which choice is equivalent to the fraction below?
5/16

O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5

Answers

Answer:

I think A

Step-by-step explanation:

   But im not sure

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times
you will roll an odd number?

Answers

Answer:

I think 1

Step-by-step explanation:

Maybe not 100% $ure

Answer:3

because yeah that the answear and stuff

the sum of the first night term of an AP is n^2-3n. write down the 10th term

Answers

Answer:

T10 = 16

Step-by-step explanation:

Using the expression for calculating the sum of an AP as:

Tn = Sn - Sn-1

When n = 10

T10 = S10 - S9

Given that;

Sn = n²-3n

S10 = 10²-3(10)

S10 = 100 - 30

S10 = 70

S9 = 9² - 3(9)

S9 = 81 - 27

S9 = 54

Substitute the given values

T10 = S10 - S9

T10 = 70 - 54

T10 = 16

Hence the 10th term of the sequence is 16

The choices below contain the lengths of sides of four separate triangles. Which of the choices
is NOT a right triangle?
a. 12, 16, 20
b. 15, 36, 39
C. 20, 24, 26
d. 30, 40, 50

Answers

Answer:

C

Step-by-step explanation:

Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.

What is the right triangle?

The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.

To find the right angle triangle it should satisfy the Pythagoras theorem

a. 12, 16, 20

[tex]12^{2} +16^{2} = 144 + 256[/tex]

               = 400

[tex]20^{2}[/tex] = 400

Since it follows the Pythagoras triplet, it is a right-angle triangle.

b. 15, 36, 39

[tex]15^{2} +36^{2} \\= 1521[/tex]

[tex]39^{2} =1521[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

c. 20, 24, 26

[tex]20^{2} + 24^{2} \\= 976[/tex]

[tex]26^{2} = 676[/tex]

Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.

d. 30, 40, 50

[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.

Learn more about the right triangle:

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How much is 2 oz chocolate melted equivalent to cup measurement?​

Answers

Answer:

2oz are 1/4 cup

done easy.

Step-by-step explanation:

Question 1 (1 point)
Solve 5 - 2x < 7
Ox-12
0x<-1
Ox>-1
Ox>-12

Answers

C. X > -1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−2x + 5 < 7

Step 2: Subtract 5 from both sides.

−2x + 5 − 5 < 7 − 5

−2x<2

Step 3: Divide both sides by -2.

−2x/−2 < 2/−2

x > −1

It would be C X > -1

what are the importance of knowing the theorems on midline, trapezoid and kite​

Answers

Answer:

It is important because it allows you to calculate the surface area of a trapezoidal prism

Step-by-step explanation:

determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...

Answers

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

u - 6.46 = 4.42

u = _

Answers

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88

PLEASE NEED HELP ASAP

Answers

Answer:

reflect over the y axis, move two units to the left and 8 units down

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