Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?

Answers

Answer 1

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42


Related Questions

Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?

Answers

Answer: $4107.74

Step-by-step explanation:

Below is the data of ages at the local amusement park on a certain day.


17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15, 14



Provide the intervals and frequencies you would use to construct the histogram for this data set.

Answers

Answer:

39

Step-by-step explanation:

To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35.  A general rule would be 5-7 intervals, I will use 5.

Here are the intervals with the number of people that were in each:

1-7 (9)

8-14 (14)

15-21 (8)

22-28 (3)

29-35 (5)

14+9+8+3+5=39

What is the height of the pole?
top
O 12 ft
O 125 ft
O 18 ft
O 182 ft

Answers

The Answer is A

Hope this helps

How would you factor 6a - 15​

Answers

3(2a-5). To factor something out it mean to put it in a form that you can get the lowest numbers out. So what number goes in to both numbers 3. So there you go.

Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2

Answers

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp

Answers

a) 0.02 < 0.9
b) 2.93 > 2.69
c) 3.81 < 8.49

< means less than
> means greater than
= means equal to

Find the area of the shaded region.

Express the area in factored form.

Answers

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Pls someone help me

Answers

A, and B and that’s in order.

Bye how much more coffe is in the dads mug

Answers

152. (How i got it) 6x6x6=216. 4x4x4= 64. 216-64= 152

The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?

Answers

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

math question down below

Answers

Answer:

type the question picture isnt showing up

Step-by-step explanation:

Answer: A

I put the equation in stat

Problem PageQuestion
Pamela's age is two times Jiri's age. The sum of their ages is 66. What is Jiri's age?

Answers

Answer:

Jiri is 22

Pamela is 44

Step-by-step explanation:

Look at the attachment

Answer:

Jiri is 22 years old.

Step-by-step explanation:

P=2J

P+J=66

2J+J=66

3J=66

J=22

can someone plz help me with i don't understand it at allll

Calculating Vacation Costs

Situation:

Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.

Special Considerations:

• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.

• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.

• You must pay all expenses of the group of 4.

• Calculate costs on this sheet.

• Be sure to total costs.

Answers

Answer:

i don't understand

Step-by-step explanation:

What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution

Answers

Answer: it’s c

Step-by-step explanation:

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91

Answers

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Different forms of a quadratic function can be easier to use
than others. Each form has its own advantages, depending on
the kind of information that's needed for a given purpose.
• Design a chart, flow chart, mind map, or some other
visual to help you organize the information that can
easily be determined about the graph of a parabola
when the function is written in vertex form, standard
form, and factored form.
• Post your visual to the discussion board for other
students.

Answers

Whats the rest?

I need an answer

What creatures terrify Aeneas as he enters the realm of the dead?

Answers

Answer:

The sibyl tells Aeneas that he must find and pluck a golden bough from a tree in an ... First, however, he must find and bury the body of a dead comrade. ... spirits and monsters and eventually reach Acheron, one of the underworld's rivers. Here ... Also punished in Tartarus's realm are mortals who have sinned abhorrently

Step-by-step explanation:

Do You Know How?
Write an equation in Slope Intercept Form.
12. Given a Slope of -3 and a Y-Intercept of 8.

Answers

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q

Answers

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box

- the solution(s) are:
- there is no solution

Answers

Answer:

x = -4 or 3

Step-by-step explanation:

[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22

2[tex]x^{2}[/tex] + 2x - 24 = 0

[tex]x^{2}[/tex] + x - 12 = 0

(x + 4)(x - 3)=0

x = -4 or 3

x = -4 or 3
because

Please help with question off algebra nation

Answers

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?

Answers

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

A peregrine falcon dives for prey. Its elevation changes
by an average of -11.5 meters every second. The dive
lasts for 3.2 seconds. What is the change in the falcon's
elevation? What does this mean in the context of the
problem? Show your work​

Answers

11.5 x 3.2 = 36.8m

-36.8 meters change in elevation

Help me out please thank you

Answers

Answer:

a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4

b. 4/12 < 4/10 < 4/7 < 4/5

c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4

Step-by-step explanation:

Hope this helps!!!

A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

so, by the Pythagorean theorem

If it is a right triangle:

a^2 + b^2 = c^2

so,

6^2 = 36

8^2 = 64

10^2 = 100

okay, now we plug these into the equation

36 + 64 = 100

so yes, it is a right triangle.

Hope this helped!

Answer:

No, it's not a right triangle.

Explanation:

If you think about it a right triangle has 2 equal sides. So no this isn't a right traingle.

solve for x 3x-3>x+7

Answers

Answer:

x>5

Step-by-step explanation:

A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?

Answers

Answer:

1248 cubic feet

:
Which is the solution to –7x > 49?

Answers

X < -7
Hope I could help

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

The radius of a circle is 1 millimeter. What is the circle's area?

Answers

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:

Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.

The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?

Dan
Joe
Lee
Roy

Answers

Answer:

roy

Step-by-step explanation:

the y coordinate has the negative number like the community center's y.

Answer:

The answer is Lee :)

Step-by-step explanation:

both of the numbers are negatives so they both belong in 3rd quadrant

Other Questions
how many solutions does : 3y = -6x + 9 y = -6x + 9 Which value in this data set is an outlier?4,5, 1, 7,4,5,8,9,6,5,4,9,7O A 1OB. 23OD9 Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5) what is the compound of scI2 what do you mean by master strand ? Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model? how do you get into Harvard law school Which rights did women become more active in pursuing after achieving the right to vote? Select four options. equal pay equal treatment access to credit military enlistment access to higher education Which of these statements provides the best summary of the scene The distance between the origin and the point representing the real number. What is the median of the following numbers?1, 2, 10, 6, 4, 4, 6, 3, 1,4 Early in the Civil War, African Americans did not fight for the Union because The diagram below shows part of the nitrogen cycle.Which stage is decomposition? *A.2B.3C.4 Can someone give me three possible solutions? What should you do before creating research questions? Check all that apply.Form an idea for an argument or an opinion.Review the topic and what the prompt asks forAnalyze sources to determine the author's point of view.Think about what you already know and need to find out.Create an outline that includes all of your supporting evidence.Use index cards, charts, or graphic organizers to write notes. Barbara's Bakery purchased three new 7-year assets during the current year. She chose NOT to use Section 179 immediate expensing or take bonus depreciation. The furnishings were purchased for $15,000 in April, the equipment for $6,000 in July, and the appliances for $40,000 in November. What amount of depreciation expense is allowable in the current year What is the significance of the title of, "To Kill A Mockingbird." After removing a cutting from a parent plant, farmers usually: Which statement is true for slide or positive film The measure of an exterior angle of a triangle is equal to which of the following measures?A.The measure of its complementary angleB.The measure of its adjacent angleC.The sum of the measures of the interior anglesD.The sum of the measures of its remote interior angles