Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer 1

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour


Related Questions

jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13

Answers

Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents

Answers

Answer:

$11.75

Step-by-step explanation:

In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75

Can someone please help

Answers

Answer:

( -1 , 0.5)

Step-by-step explanation:

Ben and Ella are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Ella filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?

Answers

Answer:

Ben

Step-by-step explanation:

25 goodies = 20 minutes

27 goodies = 24 minutes

Let's use ratio, divide both of them by their minute

25/20 = 20/20

27/24 = 24/24

1.25 goodies = 1 minute

1.12 goodies = 1 minute

1.25 is bigger than 1.12.

Answer:Ben

Step-by-step explanation:

A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?

Answers

5 : 29 = x : 87
29x = 435
x=15

HURRY!
If Johnson had 1800 apples, and gives 347 to his mon, and hid dad gave him 2876, how many apples does he have.

Answers

johnson has 4,329 apples

Answer:

4329

Step-by-step explanation:

I coan't really explain this sorry.

I hope this helps though!

Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!

I need help please.

Answers

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

how do i graph x = -1

Answers

Answer:

red line shown is how to graph x = -1

Step-by-step explanation:

start moving from the middle of the graph (0,0) and move 1 to the left, marking it at -1

The lines represented by the equations y = -X – 3 and
5y + 5x = -15

Answers

Answer:

your y= is

y−intercept=−  1 /3  =−3.00000

Step-by-step explanation:

Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7

Answers

Answer:

a.   y = -2x + 7

b.   y = -⅔x + 4

c.   y = ⅔x - 7/6

Plz mark brainliest:)

What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?

Answers

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Round this number to the nearest HUNDREDS place
1 point
5,230

Answers

Answer:

5,200

Step-by-step explanation:

Answer:

5,000

Step-by-step explanation:  Think back to your elementary days: how did you learn to round numbers? Chances are, your teacher taught the class how to round up or down from the number 5. In other words, if the last number is below five, you might round it down, and if it’s above, it gets rounded up.  

In fact, there are a whole plethora of rounding rhymes that can easily be found on the internet. Complete a quick Google search, and you might find something like, “5 and above, give it a shove! 4 and below, let it go!”. While these sayings might seem like a great solution to help kids quickly learn to solve problems, how do children know what place value they are rounding to?  

kids with scores

Before the current Common Core or individual state standards were established, mathematics was often taught by encouraging students to memorize facts and learn tricks to complete problems. Rounding is no exception, as many educators have encouraged kids to use rhymes like those described above. Needless to say, it doesn’t teach a child the underlying concept itself.  

Below we’ll explore exactly why teaching math tricks don’t work, even if it helps students to arrive at a correct answer. Then, keep reading to discover 7 of the best ways to teach rounding numbers.  

Why Getting Answers Correct is Not Enough

As mentioned above, teaching kids tricks or “hacks” to complete math problems can sometimes be helpful, it doesn’t help your child understand the mathematical concept behind the skill. For kids, teaching them to think about the number 5 and round up or down can help them arrive at the right answer, but they aren’t thinking about place value when they use the trick. So, if children are completing a rounding activity, they don’t know if they should round to the nearest ten or hundred. In fact, they might not know why they’re rounding up or down at all!  

Question 7 of 9
4 = (4 = 9) = (4 = 4) = 9
O A. True
B. False

Answers

Answer:

B. false

Step-by-step explanation:

The left side  4  does not equal to the right side  9 , which means that the given statement is false.

If Kynlee can walk 3/5 mile in 1/3 of a day, how far can she walk in 1 day.

Answers

Answer:

1 and 4/5 mile or 1.8 miles

Step-by-step explanation:

You would multiply 3/5 by 3 because in 1/3 day she can walk 3/5 miles, you want to find out how much she can walk in a day! Hope this helps! If you liked this answer, a brainliest would much be appreciated!

Answer:

9/5 i believe ( or 1 4/5 )

Step-by-step explanation:

multiply 3/5 by 3, since 1/3 is only a part of the day

( im sorry if this is wrong :( )


Convert y = x2 - 4x + 1 to vertex form by completing the square.

O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1

Answers

Answer:

vertex: (-2, -3)

Step-by-step explanation:

y = x2 + 4x                 + 1  

y = x2 + 4x + 22          + 1 - 22  

y = (x + 2)2 + 1 - 4  

y = (x + 2)2 - 3            in y = (x - h)2 + k, (h, k) is the vertex.  

 

Answer:

y = (x - 2)² - 3

Step-by-step explanation:

Given

y = x² - 4x + 1

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 1

   = (x - 2)² - 3

Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?

Answers

Answer:

-2

Step-by-step explanation:

-5 + -7 = -12

-12 + 4 = -8

-8 + -4 = -12

-12 + 10 = -2

Answer:

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

Step-by-step explanation:

-5n-3(n+2)=18
what is n?
Please show all work

Answers

Answer:

n=-3

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Find x and y. Give reasons to justify your solution.

Answers

Answer:

122

Step-by-step explanation:

slope of one dotted lines:
slope of the reflection line:​

Answers

Answer:

Slope of dotted lines: 1

Slope of reflection line:​ -1

Step-by-step explanation:

For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.

For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.

The value of (-1728)+ V324 is​

Answers

-1710

im pretty sure

The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

[tex]\hat y =1.7 +1.48t[/tex]

Weight of the kitten after 10 weeks

[tex]\hat y =1.7 +1.48\times 10[/tex]

[tex]\hat y =16.5[/tex] pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

Pls help ASAP I will give brainlyest
Nile had 20% less strikeouts this year than last year. He had 124 strikeouts last year. Which steps are needed to calculate the number of strikeouts Nile had this year? Check all that apply

(A) Convert 20% to a decimal.

(B) Multiply: 0.2 × 124 = 24.8

(C) Divide: 124 ÷ 20 = 6.2

(D) Subtract: 124 – 24.8 = 99.2

(E) Add: 124 + 24.8 = 148.8

(F) Subtract: 124 – 6.2 = 117.8

Answers

Answer:

(A) Convert 20% to a decimal.

(B) Multiply: 0.2 × 124 = 24.8

(D) Subtract: 124 – 24.8 = 99.2

Step-by-step explanation:

Given parameters:

 Number of strikeouts last year = 124

  Percent reduction  = 20%

Unknown:

Number of strikeouts this year =?

Solution:

To find the number of strikeout this year,

   Convert 20% to a decimal   = [tex]\frac{20}{100}[/tex]  = 0.2

Now; Multiply: 0.2 × 124  = 24.8

The number of strikeouts this year = 124 - 24.8  = 99.2

     

PLS HELP ILL MARK BRAINEST DUE IN 20 minsss

Answers

Answer:

ill help

Step-by-step explanation:

what percent is equivalent to 1/20​

Answers

Answer:

1/20 is 5%

Step-by-step explanation:

1/20 = 5%

20/20 = 100%

100 ÷ 20 = 5%

1/20 x 100 = 0.05 x 100 = 5%

Step-by-step explanation:

[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]

I can't figure this out, help-

Answers

-2(7-y)+4= -4

-14+2y =-4-4

-14 + 2y = -8

2y = -8+14

y = 6/2

y = 3

Only thing I can think of is first crossing out +4 and -4, and end up with x = 7, but what the heck

What is 78x6 =
please let me know if you have the asers

Answers

Answer:

468

Step-by-step explanation:

and this is how you spell answers

The value of 78 × 6 is 468

What is multiplication?

Multiplication is the process of calculating the product of two or more numbers. The result of multiplication is called product.

If a × b = c , this means that a and b are the factors and c is the product.

For example if each student has 5 apples and there are 100 students in the camp, the total number of apples in the camp is

100 × 5 = 500 mangoes.

Similarly, 78 × 6

= 70 × 6 + 8 × 6

= 420 + 48

= 468

Therefore the product of 78 and 6 is 468

learn more about multiplication is

https://brainly.com/question/10873737

#SPJ6

2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360​

Answers

Answer:

360

Step-by-step explanation:

the intirior angles equals 180 so ttthe outside have to equal 360

Solve for x:
7x-99+ 2x+1
please helpppp

Answers

Answer:

x = 20

Step-by-step explanation:

7x - 99 = 2x + 1  (vertically opposite angles are equal)

Rearrange

5x = 100

x = 20

2xー1+2-2
solve this and show work

Answers

Answer:

2x - 1

Step-by-step explanation:

2x−1+2−2

=2x+−1+2+−2

Combine Like Terms:

=2x+−1+2+−2

=(2x)+(−1+2+−2)

=2x+−1

Answer:

x = 1/2

Step-by-step explanation:

We need to add -1 to each side of this to get rid of the -1 in the equation.

2x - 1 + 2 = 2

2x + 1 = 2

We need to subtract 1 from each side.

2x = 1

x = 0.5

Checking:

2(0.5) - 1 + 2 = 2

1 - 1 = 0 + 2 = 2 (Checks out)

ANSWER: x = 1/2

"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *

Answers

Answer:

3_5/6 hours

Step-by-step explanation:

2_ 1/3 = 2_ 4/12

1_3/4 = 1_6/12

2_4/12 + 1_6/12 = 3_10/12

3_10/12 = 3_5/6

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