James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip

Answers

Answer 1

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph


Related Questions

Could you write 9 inches and 180 as a ratio?

Answers

Answer:

9:120 but if simplified 1:20

Step-by-step explanation:

I hope this helps

What is the simplest form of this expression?
-x(4x2 - 6x + 1)

Answers

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Need help pls very important 25 points here for person who gives good answer will get brainlyest

Answers

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

7(n - m) for m = 4 and n = 15

Answers

Answer:

63

Step-by-step explanation:

7(15-4)

7(9)

63

5x + 3y = 5
5x + 7y = 25

Answers

Answer:

(-2,5)

Step-by-step explanation:

What is the solution set for the inequality below
-3x + 15 < 18

Answers

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

Given D'E'F'G' is a dilation of DEFG, find the scale factor of dilation.

Answers

Answer:

7.5

Step-by-step explanation:

157.5/21 = 7.5

Write an algebraic expression or equation to represent each word phrase.
The quotient of n and 12 is 20

Answers

Answer:

n/12 = 20

Step-by-step explanation:

quotient is the answer of dividing

so

n/12 = 20

How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x

A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions

Answers

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

I need help fast thank you all!!

Answers

Answer:

b = 5.2

c = 3.5

Step-by-step explanation:

By 45°- 45° - 90° triangle theorem:

[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]

By 30°- 60° - 90° triangle theorem:

[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]

simplify [tex]\sqrt[4]{6^4}[/tex]

Answers

Answer:

6

Step-by-step explanation:

We can rewrite the expression as

(6^4) ^ (1/4)

We know that a^ b^c = a^ ( b*c)

6^4 ^ (1/4)

6 ^ ( 4*1/4)

6

Answer:

6

Step-by-step explanation:

[tex] \sqrt[4]{ {6}^{4} } [/tex]

The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer

[tex]6[/tex]

The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=

Answers

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me

Answers

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.


Henry, Brian and Colin share some sweets in the ratio 1:5:2. Henry gets 8 sweets. How many
did Colin get

Answers

Colin would get 16 sweets.

write the slope-intercept form of the equation of the line.

Answers

Answer: y=x+2

Step-by-step explanation:

ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).

(0, 2) is the y-intercept, which will replace b.

y=mx+2

the slope of the line is 1.

y=1x+2

y=x+2

The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?

Answers

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.

3
Regina writes the expression y +9.
4
Which expression is equivalent to the one Regina
writes?
A (9.3 : 4) + y
B 9+ y(3:4)
C (y +9)(3-4)
D None of these

Answers

Answer:

a

Step-by-step explanation:

if you do it right it is a

the answer would be (9•3 divided by 4)+y which is A

How many solutions will this system of equations have??
Please explain your thinking

Answers

7 because I’m smart and I have the expect same problem

Tess studied for 2/3 of an hour on Monday and 1 1/2 hours on Tuesday. How much more time did she spend studying on Tuesday than on Monday?

Answers

Answer:

she spent  2 1\6 studying more on tuesday because you got to add

Can somebody help me. Will mark brainliest.

Answers

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Pls explain how you got the answer also ☺️

Answers

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Can someone help me with this? I just need help understanding it.​

Answers

What do you need help with !?! I don’t get it you just write the question no picture

Select the equation that represents the graph above.


y=x√−2y is equal to square root of x minus 2 , ,


y=x√+2y is equal to square root of x plus 2 , ,


y=x+2y is equal to x plus 2 , ,


y=x+2−−−−−√

Answers

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

!!Please Help!! Find the value of z to the nearest tenth.

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP ​

Answers

Answer:

8 kilometers

Step-by-step explanation:

Since 5 is half of 10, then do 16/2 to find how many kilometers.

Answer:

8

Step-by-step explanation:

16 kilometres in 10 miles (divide by 10 to find 1)

  1.6km                         1 mile

   8(times1.6 by 5)                                   5 miles

please mark as brainliest!!!

Tyler ate x fruit snacks, and Han ate less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).

Answers

Tx -yx I believe not sure

find the value of x.

Answers

Answer:

Step-by-step explanation:

the ration of the 2 figures are 4/3 from the larger to the smaller one

this means that 4/3*6=8

x-1=8

x=9

choice c

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):

w = m + 6
w = 5m − 10

Which is a possible correct method to find Wilson's and Mary's ages?

Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

no 4=f

Step-by-step explanation:

dwfn sdv and it appers to be marys age ;)

think before you do something rude

Answer:  

C. Solve m + 6 = 5m - 10  

Step-by-step explanation:  

Wilson is 6 years older than Mary.  

(MARY's age + 6 = WILSON's age)  

Wilson's age is 10 years less than five times Mary's age.  

(MARY's age * 5 - 10years = WILSON's age)

(Mary is 4 years old and Wilson is 10:  

4 + 6 = 10  

4(5) = 20 - 10 = 10  

just in case you were curious)

Good luck!!

What is the answer???

Answers

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Helppp!!
What is the value of the missing angle?

Answers

Answer:

105

Step-by-step explanation:

all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105

hope this helps :)

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