Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car’s rate is 10 kilometers per hour less than the others. If they meet in 2 hours what is the rate of the slower car

Answers

Answer 1

9514 1404 393

Answer:

  85 km/h

Step-by-step explanation:

Let s represent the speed of the slower car. Then the travel time is ...

  time = distance/speed

  2 = 360/(s +(s+10))

  4s +20 = 360 . . . . . multiply by 2s+10

  4s = 340 . . . . . . . . . subtract 20

  s = 85 . . . . . . . . . . . divide by 4

__

The rate of the slower car is 85 km/h.


Related Questions

Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (4 points)

Group of answer choices

27

24

16

11

Answers

4 x (9/3) + 6 - 2
4 x (3) + 6-2
12+6-2
16
Final answer =16

The correct answer is option c) 16.

4 x (9 ÷ 3 ) + 6 - 2

Define simplification?

Simplification can define as exicute the operations according to the mathematical operators.

4 x (9 ÷ 3 ) + 6 - 2
by PEMDAS

Bracket solved 1 st
than division further mortification, addition and substraction.

4 x (3 ) + 6 - 2
12 + 6 - 2
= 16

Thus the required value of simplification is 16.

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PLEASE HELP 30 POINTS

Answers

The answer is No!! I hope this helps, have a wonderful day!

Answer:

A) yes, both functions are inverses of each other.

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[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]

1) Use your own words to explain the following terms:
function,
domain, range vertical line test.

Answers

TERMS

Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.

Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.

Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.

Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.

Hope This Helps You!

please help me out asap ​

Answers

Answer:

[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]

help pls i'm lost plssssssssssss

Answers

whats the number on the grid and make them as a fraction or decimal

You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Therefore , the solution to the given problem of interest comes out to be $272.

What does interest mean?

Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.

Here,

Given: $250 in principal

a 2.2% interest rate

and a 4-year term

To discover the basic interest:

Using this formula

Simple interest is equal to

=>P*R*T/100,

=> 250*2.2*4/100

=> 22.

Total amount after 4 years = 250 + 22 =272

Therefore , the solution to the given problem of simple interest comes out to be $272.

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If the value of "y" varies directly with "X"
and y = -8 when x = 20, find "y" if x = -4.

Answers

Answer:

y=kx

-8=k20

-8/20=20k/20

k=-0.4

y=-4×-0.4

y=1.6

Circle has a radius of 4 and the center is (-4,-8) what is the equation of the circle if I double the radius

Answers

9514 1404 393

Answer:

  (x +4)^2 +(y +8)^2 = 64

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...

  (x +4)^2 +(y +8)^2 = 64

what is

20x + 30x ( 23 - ( -9)

Answers

The answer is 980x. Good luck!
Thee answer is 980x.

A rectangular room measures 10 feet by 120 inches. Tonya said the area of the room is 1200 square feet. What did Tonya do wrong?

Answers

Answer: Tonya's calculation is incorrect because she mixed units of measurement. She used feet to measure one dimension of the room (10 feet) and inches to measure the other dimension (120 inches) and then calculated the area as 10 x 120 = 1200 square feet.

Area is a measure of the amount of space inside a two-dimensional shape, and it's typically measured in square units. To calculate the area of a rectangular room, you multiply the length of the room by the width of the room,

However in this case, Tonya used different units of measurement for length and width (feet and inches), and therefore the answer is incorrect.

You would need to convert inches to feet before multiplying 10 feet by 120 inches to get the area.

120 inches = 10 feet

So, the correct calculation of the area would be 10 feet * 10 feet = 100 square feet

It's worth mentioning that before calculating any area or volume, it's important to make sure that all units of measurement are consistent and the same.

Step-by-step explanation:

Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8

Answers

Answer:

96 and 36

Step-by-step explanation:

3+8 = 11

132/11 = 12

so:

12 x 3 = 36

12 x 8 = 96

Which of the following equations represent linear functions? select all that apply

Responses

3x+5y=1

y= -9/x2(2 is an exponent)

y=x2(2 is an exponent)-7

y=1/x
will give brainliest for whoever answers correctly and quickly

Answers

3x+5y=1
When you put this into slope intercept form you should get a linear function. For the second and third, it has exponents so it can’t be linear and the last one also isn’t linear

Ifn(r'ns')+ n(r'ns)=3 n(r n s) = 4 & n(s'nr)= 7 find n(u).

Answers

Answer:

  14

Step-by-step explanation:

You want to know the size of the universal set if ...

n(r'∩s') +n(r'∩s) = 3n(r∩s) = 4n(s'∩r) = 7

Universe

The given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:

  n(u) = 3 + 4 + 7

  n(u) = 14

__

Additional comment

  (r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3

  (r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11

Then r' ∪ r = u, the universal set.  . . . . n(u) = 3 +11 = 14

In the following equation, which part is the difference?
200 - 150 = 50
200
50
150

Answers

9514 1404 393

Answer:

  50

Step-by-step explanation:

The attachment shows the vocabulary associated with a subtraction equation.

In your equation, the difference is 50.

A piece of stained glass art forms a half circle. The part labeled a is green. What is the measure of angle a?

This is angles.

Answers

Answer:

40

Yea. Hope this helps? Adios

Answer:

40

Step-by-step explanation:

if this is what I'm sorry I'm not very good at math

2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5

A=2,B=1/2 and C=0

A=1,B=0 and C = 5

O A=1/4,B=3/4 and C=0

Answers

Answer:the third one

Step-by-step explanation:

The number that appears in the middle of an organized set of data from least to greatest
A) Mean
B) Median
C) Mode
D) Range

I'll give brainliestttt ​

Answers

The answer is median

Answer:

Median

Step-by-step explanation:

Have a good day ^^

What is the difference of the whole number and the mixed number below? 9-3 3/4 A. 5 1/4 B. 6 1/4 C. 6 3/4 D. 5 3/4

Answers

Answer:

A

Step-by-step explanation:

A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

Someone pls explain this. I know the answer is 1/504 but how do you get there?

Answers

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.

What are permutations?

Permutations refer to the arrangements of objects in certain order or way.

The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.

The probability is obtained as 1 / ₉P₃

where;

₉P₃ = 9! / (9 - 3)!

₉P₃ = 9! / 6!

9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

₉P₃ = 504

Hence, the probability = 1/504

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Pleaseee
True or False?
a) a line contains 2 points
b) a plane does not contain 3pts not all one line
c) Through any 2 points, exactly 1 line exists
d) If 2 planes intersect, their intersection is a point

Answers

The answer would be D)

Hey need some help, pretty desperate so please help thank you <3

Answers

Answer:

Hello!

answer x = 46

z = 24

y = 14

Why do people trust brainly to give a right answer?

Answers

Answer:

Because most of the times they can learn from their answers and the answers are correct.

Step-by-step explanation:

Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my other questions!

Answers

Answer:

3

Step-by-step explanation:

Please help solve (No Link Please!!!)

There is 283 5/8 gal of liquid fertilizer in a fertilizer
application tank. After applying 178 2/3 gal to a soybean
field, the farmer requests that a local farm supply company deliver an additional 250 gal to the tank. How many gallons of fertilizer are in the tank after the delivery?

Answers

Answer:

354 23/24 gallons

Step-by-step explanation:

283 5/8 can be rewritten as 283 15/24

and 178 2/3 can be rewritten as 178 16/24

we do this to subtract the numbers easily.

we get 104 23/24

104 23/25 + an additional 250 gal = 354 23/24

Help if you know how to do this! I’d really appreciate it!

Answers

The value of x is 20 and the value of y is 8 from the given quadrilaterals.

What is a Congruent Polygon?

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Given that, ABCD≅EFGH

We know that, corresponding parts of congruent polygon are equal.

Now, (4y-4)°=28°

4y=32

y=8

(10x-65)°=135°

10x=200

x=20

Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.

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Find x.
Round to the nearest tenth:
28°
350 ft
y
x = [ ? ]ft

Answers

Answer:

745.5 ft

Step-by-step explanation:

Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)

Opposite side = 350 ft

Hypotenuse = x

Apply the trigonometric function, SOH:

Sin θ = Opp/Hyp

Sin 28° = 350/x

x = 350/Sin 28

x = 745.5 ft (nearest tenth)

Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method

Answers

The current value of property is 4000

What is the capitalization rate?

The capitalization rate (also known as cap rate) is used in the world of commercial real estate to indicate the rate of return that is expected to be generated on a real estate investment property. Formula: Capitalization Rate = Net Operating Income / Current Market Value

Given here cap rate as 10% and income as 40000, Thus Current market value of property is = 40000/10

                                 =4000

Hence, The current value of property is 4000

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9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the
shares years later for y dollars per share. Express her capital gain algebraically.

Answers

Answer:

(hy)-(hx)=P

Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.

3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
См
a radius of 1 m. The entire area of the park has grass with the exception of the bases for
the lamps. Calculate the lawn area.

Answers

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

Kyra drove to visit her friend. She traveled 113 miles in 5\frac{2}{7} hours. What was her average speed? Write your answer as a mixed number using a space and the division symbol. Example 2 1/2

Answers

232 fhdbsid is asvgsbsbdd
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