Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 miles per hour faster than the other car. After 1.5 hours the two cars are 159 miles apart. Find the speed of each car.

Answers

Answer 1
The second car is going 153mph

Related Questions

Enter an equation that can be used to find x. (Picture below)

The equation ____ can be used to find x.

Answers

(2x+1)+89=180.  180 is the angle of a straight line.  Set your two known sides equal to 180 and solve for x if needed.

I need halpp can ya'll folks help ma plez.What is 2.5x=15 thank you

Answers

place x to the other side of the equation

x=15/2.5

x=6

Answer:

6

Step-by-step explanation:

If you take 15 and divide it. by 2.5 you. get 6

The ticket price for the hockey match was 14.50. The price has increased by 7%. How much is a ticket after the increase

Answers

Answer:

15.5

Step-by-step explanation:


John recieves £173 per week after working for 25 hours. How much does he get per hour

Answers

Answer:

Amount John gets paid per hour [tex]6.92[/tex] Dollars per hour ,

Step-by-step explanation:

To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.

Amount John gets paid per hour = [tex]\frac{173}{25}[/tex] Dollars per hour.

                                                       =[tex]6.92[/tex] Dollars per hour

Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87. She paid a total of what dollars for the two pairs of shoes.

Answers


[tex]3.46 + 9.87 = 13.33[/tex]

Answer:

13.33

Step-by-step explanation:


Multiply. (7x-4)(4x-3)

Answers

Your answer is 28x^2-37x+12

1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd

28x^2-21x-16x+12

2) Collect like terms

28x^2+(-21-16x)+12

3) Simplify

28x^2-37x+12


Use FOIL

28x-21x-16x+12

-9x+12

The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .

What is the probability of drawing a second orange ball, given that the first ball is orange?




1/7

11/75

2/7

1/6

Answers

Answer:

answer is 1/7

Step-by-step explanation:

Given that there were some orange balls in a bag.

The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .

We have to find out the probability of drawing a second orange ball, given that the first ball is orange

Let A - I ball orange

B = II ball orange

Then P(AB) = 1/35 (given)

P(A) = 1/5 (given)

The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)

=P(AB)/P(A)

= 1/35 divided by 1/5

= 1/7

answer is 1/7


Answer: 1/7

Step-by-step explanation:

***PLEASE HELP WILL GIVE BRAINLIEST!!!***


If DG equals 88, DO = 5x+12 and OG =2x, find DO



.______________.________.
D O G

Answers

in the number line, the end points are DG, and the point in between is O

DG = 88

DO = 5x + 12

OG = 2x

Set the equation. The two parts (DO & OG) are equal to the whole (DG)

2x + 5x + 12 = 88

Simplify. Combine like terms

(2x + 5x) + 12 = 88

7x + 12 = 88

Isolate the x. Remember to do the opposite of PEMDAS. Subtract 12 from both sides

7x + 12 (-12) = 88 (-12)

7x = 76

Isolate the x. Divide 7 from both sides:

7x/7 = 76/7

x = 76/7

----------------------------------------------------------------------------------------------------------------------------

Find DO. Plug in "76/7" for x:

DO = 5x + 12

DO = 5(76/7) + 12

Simplify. Remember to follow PEMDAS. Multiply 76 with 5

DO =  380/7 + 12

Next, divide 380 with 7

DO = 54.29 (rounded)

Finally, add

DO  = 54.29 + 12

DO = 66.29

66.29 is your answer

hope this helps


Can someone please help me?


The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I?

Answers

Constantly accelerating because it is a straight line at a diagonal.

Martina works mowing lawns and babysitting. She earns 7.90 for mowing lawns and 6.90 for babysitting. How much will she earn for 7 hours of mowing and 1 hour of babystting

Answers

 mowing lawns: 7 * $7.90 = $55.30

+      babysitting: 1 * $6.90 = $  6.90

                                              $62.20

Answer: $62.20

An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble that is red or white? (b) What is the probability of drawing a marble that is neither red nor white? (c) What is the probability of drawing a pair of marbles, one red and one white at the same time? (d) What is the probability of drawing a pair of marbles, one blue and one orange at the same time?

Answers

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b)  Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c)  Prob of drawing two marble one red and one  white at the same time

= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]

d) Prob of drawing two marble one blue and orange  white at the same time

= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]

Yul has lunch at a resterant if his bill was $14.50 and yul wants to leave a 20% tip what is the amount he should leave for the tip

Answers

14.50 times 0.20 = 2.9

He would give a $2.90 as a tip of 20% from a bill of $14.50

Help With Proving Theorems
20 POINTS

1. If two vertical angles are supplementary, what is the measure of each angle?

Answers

Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.

Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.

Now note that supplementary means 180°

Set the equation. Let the angles = x

2x = 180

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides

(2x)/2 = (180)/2

x = 180/2

x = 90

90° is the measurement of each angle.

~Rise Above the Ordinary

Can someone help me please?

Answers

The answer will be b I am sure

Answer:

i think that the best answer to the question is b


Step-by-step explanation:


What is the number that has the same absolute value as 81

Answers

The absolute value of -81 has the same absolute value as that of 81 because they both have the same distance to 0.

please help on this one?

Answers

I think it is B. If you drew a graph of this and the x axis was time and the y axis is the  enrollment then you would get 3  different x values and  1 y value. That's still a function. I've drawn it below.


A box of 20 dictionaries costs $84. An individual dictionary costs $5. You need at least 55 dictionaries. Find the price of each combination of items.

Answers

55/20=2 as qutiont and 15 as remainder

2X84=168

15X5=75

answer=243

in how many ways can five girls and five boys stand in line if boys and girls must alternate?

Answers

[tex]5\cdot5\cdot4\cdot4\cdot3\cdot3\cdot2\cdot2\cdot1\cdot1\cdot2=28,800[/tex]

Are O, N, and P collinear? If so, name the line on which they lie.

Answers

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that O and N points are in a straight line but point P is aside.

So, the points O, N, and P are not collinear.

Therefore, correct option is "No, the three points are not collinear".


During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th customer which customer was the first to get a free t-shirt and a free water bottle

Answers

Answer:

40th customer

Step-by-step explanation:

Given that there is a promotional event

A sporting good store gave t shirt and free water bottle.

T shirt was given to 8th customer and water bottle to every 10th customer.

For the first person who should get both, he should have number as least common multiple of 8 and 10

8 = 2x2x2

10 = 2x5

Hence least common denominator = 2x2x2x5 = 40

Thus 40th customer will be the first to get both.


Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time

Answers

Answer:

No.  He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not  have enough time  since he is short of time by 2 minutes.


mary pitches a ball. the initial height is 8 ft and velocity 80 ft per second. when will the ball hit the ground?

Answers

Initial velocity of the ball (u) = 80 ft/ sec

Final velocity of the ball after reaching the ground (v) = 0

Distance covered by the ball to reach the ground (s) = 8 ft

Let "a" be the acceleration of the ball.

We know, [tex]2as=v^{2}-u^{2}[/tex]

[tex]2a(8)=0-80^{2}=-6400[/tex]

[tex]a=-\frac{6400}{16}[/tex]

[tex]a=-400ft/s^{2}[/tex]

Let "t" be the time required to reach the ground.

We know,

[tex]v=u+at[/tex]

[tex]t=\frac{v-u}{a}[/tex]

[tex]t=\frac{0-80}{-400}[/tex]

[tex]t=0.2s[/tex]

The ball will hit the ground in 0.2 second.

10 rubber stamps cost $10.30. What is the cost for 2 rubber stamps?

Answers

Answer:

2.06

Step-by-step explanation:

you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:

To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.

The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.

Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]

Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06

Geometry help , only answer if your sure please. The question is in the attached

Answers

Your answer would be D, The translation doesn't change the size or shape. Just location.

Hope this helped.

How do I find the zeros of x^4-10x^3-66x^2-94x-39

Answers

Answer: x = -1, -3, 7 + √62, 7 - √62


Step-by-step explanation:

q                                    p

x⁴ - 10x³ - 66x² - 94x - 39

[tex]\frac{p}{q}[/tex] = +/- [tex]\frac{1*3*13*39}{1}[/tex]

possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39

Use synthetic division or long division to see which factor will leave a remainder of 0.

try x + 1 = 0  ⇒   x = -1

-1   |  1     -10     -66     -94     -39

    |  ↓     -1        11        55      39

       1     -11      -55     -39       0

(x + 1)(x³ - 11x² - 55x - 39)        

next, try x + 3 = 0  ⇒   x = -3   for the new polynomial

-3   |  1     -11     -55     -39

     |  ↓     -3       42     39

        1     -14      -13       0  

(x + 1)(x + 3)(x² - 14x - 13)

Lastly: find the zeros by setting each factor equal to zero and solve.

x + 1 = 0  ⇒  x = -1

x + 3 = 0   ⇒ x = -3

x² - 14x - 13 = 0

[tex]x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}[/tex]

  [tex]= \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}[/tex]

  [tex]= \frac{14 +/- \sqrt{196+52}}{2}[/tex]

  [tex]= \frac{14 +/- \sqrt{248}}{2}[/tex]

  [tex]= \frac{14 +/- 2\sqrt{62}}{2}[/tex]

  [tex]= 7 +/- \sqrt{62}[/tex]


Picture of an inequality word problem. It says the answer is between 2 and 5 hours but I have no idea how to get that answer. Please help me with how to get that answer :(

Answers

it should be about 4-5 hours because her mom sleeps half the time that Mei sleeps!! you are welcome!


Jim has answered 7 e-mails this is 35% of the e-mails he must answer how many emails does he need to answer?

Answers

here is your answer...

Answer: He needs to answer 20 emails.

Step-by-step explanation:

Given : Jim has answered 7 e-mails .  (1)

This  is 35% of the e-mails he must answer .

We can write 35% as 0.35.

Let x be the number of emails  he need to answer.

Then, Number of mails he has answered = 0.35x  (2)

From (1) and (2), we have

[tex]0.35=7\\\\\Rightarrow\ x=\dfrac{7}{0.35}=\dfrac{700}{35}=20[/tex]

Hence, he needs to answer 20 emails.

PLEASE HELP ASAP
The length of a rectangle is 6m longer than its width. What are the possible widths if the area of the rectangle is at least 775cm^2?

Answers

Hey there!!

What is the area of a rectangle?

The area of a rectangle = Length × Breadth

Given :

Length is 6m longer than the width.

Hence, length = 6 + breadth

Area = ( 6 + breadth ) ( breadth )

Area = 6 breadth + breadth²

Area = 775

Hence, 775 = 6 breadth + breadth²

( Let's take the breadth as ' b ' )

775 = 6b + b²

... b² + 6b - 775 = 0

... b² - 25b + 31b - 775 = 0

... b ( b - 25 ) + 31 ( b - 25 ) = 0

... ( b + 31 ) ( b -25 ) = 0

There are two solutions found :

b + 31 = 0 and b - 25 = 0

Hence,

b = -31 and b = 25

As the values can not be in negatives, we take 25

Hence, the value of the breadth is 25.

Length = 6 + b

Length = 31

Hence, the value of the length = 31

Hope my answer helps!!

Solve the system equation.

Answers

Answer:

A) (0, 2)

Step-by-step explanation:

Rewriting the second equation to the same form as the first, it becomes

... 1/2y = x + 1

... y = 2x + 2

Now, it is clear that both equations have the same y-intercept at y=2, so that is the solution.

... (x, y) = (0, 2)

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

A.
x2 + y2 − 4x + 2y + 1 = 0

B.
x2 + y2 + 4x − 2y + 1 = 0

C.
x2 + y2 + 4x − 2y + 9 = 0

D.
x2 − y2 + 2x + y + 1 = 0

Answers

Answer:

B. x² + y² + 4x − 2y + 1 = 0

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the center (-2, 1) → h = -2 and k = 1.

The radius is the distance between the center and the given point.

Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:

[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]

We have the equation in standard form:

[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]

Convert to the genereal form using:

[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]

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