Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?

Answers

Answer 1

Answer:

2 o'clock

Step-by-step explanation:

Their 'closing speed' is 60 - 50 = 10 km/hr

they have 20 km between them

 at closing speed this will take   20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00    or  2 oclock


Related Questions

9. 144^14/144^2

A. 144^16
B. 144^12
C. 144^28
D. 144^14/2

Answers

The correct result of this expression is 144¹²

This question is related to the division of potentiation of equal bases

Potentiation is a multiplication of equal factors. When dividing bases or equal numerator and denominator - just keep the bases and subtract the exponents.

= 144¹⁴ / 144²

= 144¹⁴‐²

= 144¹²

So, the correct answer will be 144¹²

Solve for x, please show work!

Answers

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

i need help with 7th grade math please 30 points need help ASAP

Answers

Answer:

Area = 657 ft^2

Step-by-step explanation:

Heron's Formula: [tex]S=\frac{a+b+c}{2}[/tex] ,

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\frac{20+21+29}{2}=\frac{70}{2} =45 ft[/tex]

[tex]Area=\sqrt{45(45-20)(45-21)(45-29)}\\\\=\sqrt{45(25)(24)(16)}\\\\=\sqrt{432000}[/tex]

= 657.267069

Area = 657 ft^2

Answer:

210 ft²

Step-by-step explanation:

Take the base and height of the triangle.

Base = 21 ft.Height = 20 ft.

Solving for area :

A = 1/2 x base x heightA = 1/2 x 21 x 20A = 10 x 21A = 210 ft²

2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.

Answers

Answer:

1.  8

2.  24

Step-by-step explanation:

The number of persons that drink grape milk only :

18 - 10 = 8

The number of persons that drink coffee :

42 - 8 = 34

The number of persons that drink coffee only :

34 - 10 = 24

How do you put x=y-1
into word form

Answers

Answer:

x equals y minus one

Step-by-step explanation:

= means equals

- is minus

x and y cannot be put into any other (word) form

hope this helps:)

How to solve the square root of x - 1.​

Answers

Answer:

I know i'm late but I think this might be right, I don't know, I used a website-

Step-by-step explanation:

When

√x-1

STEP

1

:

Isolate the square root on the left hand side

    Radical already isolated

    √x-1 = 0

STEP

2

:

Eliminate the radical on the left hand side

    Raise both sides to the second power

    (√x-1)2 = ()2

    After squaring

    x-1 =

STEP

3

:

Solve the linear equation

    Rearranged equation

    x -1 = 0

    Add  1  to both sides

    x = 1

    A possible solution is :

    x = 1

STEP

4

:

Check that the solution is correct

    Original equation

    √x-1 =

    Plug in 1 for  x

     √(1)-1 =

     Simplify

     √0 = 0

     Solution checks !!

    Solution is:

     x = 1

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Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?

Answers

Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,

Number of keychains>(40/2.50)

Number of keychains > 16

Thus, Wyatt needs to sell at least 17 keychains.

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Answer:

Step-by-step explanation:

17

If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?

Answers

Answer: 452.16

Step-by-step explanation:

A pair of shoes usually sells for $68. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?

Answers

Answer:

[tex]Total\ Price = \$57.12[/tex]

Step-by-step explanation:

Step 1:  Determine the discounted price

[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]

[tex]Discount=\$68 * (1 - 0.2)[/tex]

[tex]Discount=\$68 * (0.8)[/tex]

[tex]Discount=\$54.4[/tex]

Step 2:  Determine the total with tax

[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]

[tex]Total\ Price = \$54.4*(1+0.05)[/tex]

[tex]Total\ Price = \$54.4*(1.05)[/tex]

[tex]Total\ Price = \$57.12[/tex]

Answer:  [tex]Total\ Price = \$57.12[/tex]

Hope this helps!  Let me know if you have any questions

PLEASE HELP 20 POINTS!!

Answers

Answer:

D) x² - y = 10x + 25 + y

Step-by-step explanation:

A relation only becomes a function if each x-value only has a single y-value as the answer.

Evaluating

A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-value

How do you solve for x?

Answers

..........................


Which statement about the graphs is true?
O Graph A is a valid density curve because the part of
the graph from 2 to 6 is below the horizontal axis.
O Graph A is not a valid density curve because the
part of the graph from 1 to 2 is above the horizontal
axis.
O Graph B is not a valid density curve because part of
the horizontal axis has negative values.
O Graph B is a valid density curve because the curve
is above the horizontal axis, and the area under the
curve is 1.

Answers

The statement about the graphs is true is:  Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Statement about the graph that is true

Graph curve is above the horizontal axis.

Let determine the area under the curve using this formula

Base of left and right triangle

Left  

Base = -3 - (-5)

Base= 2

Right

Base= 3 - (-3)

Base= 6

Right and left height

Height= 0.25

Hence:

Total area=(base× height)/2

Total area=[ (2×0.25)/2] + (6×0.25)/2

Total area=0.25+0.75

Total area=1

Therefore  Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

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Draw the graph of the equation 2x - y = 10.​

Answers

Answer:

  see attached

Step-by-step explanation:

The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.

__

The x-intercept is the x-value when y = 0.

  2x -0 = 10

  x = 10/2 = 5 . . . . . . (5, 0) is a point on the line

__

The y-intercept is the y-value when x = 0.

  0 -y = 10

  y = -10 . . . . . . . (0, -10) is a point on the line

__

The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.

if the area of a square is 32f^2 how long is its diagonals?

Answers

Answer:
8f

Side:
√32 = 4√2

Diagonal of the square:
√2 X side = √2 X 4√2 = 8f

A surveyor needs to determine the distance between two points that lie on opposite banks of a river. Two points, A and C, along one bank are 250 yards apart. The point B is on the opposite bank. Angle A is 64º and angle C is 51°. Find the distance between A and B to the nearest tenth of a yard. • Write your answer as a number only. • Round answer to one decimal place.​

Answers

Answer:

does anyone know

Step-by-step explanation:

That is hard

Question 4:
Two equations are shown:

Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.

The value of x is:

The value of y is:

Answers

Answer:

x = 28

y = 32

Brainliest?

4.) Which of the following correctly describes the line y = 5?
(1) It is parallel to the x-axis
(2) It is parallel to the y-axis
(3) It is diagonal with a slope of
(4) It has no y-intercept

Answers

1. It is parallel to the x-axis.

Answer:

It is parallel to the x-axis

Step-by-step explanation:

................

Find the area of the shaded figure.

Answers

Answer: 12

Step By Step Explanation:

8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees

Answers

The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.

Then the measure of angle ACB will be

We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.

Then we have

2∠ABC = ∠AOB

2∠ABC = 80°

 ∠ABC = 40°

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HELP ASAP PLEASE !!

What is sum n = 1 to 4 5 ^ n equal to?

Answers

Answer: 50

Step-by-step explanation: hello the answer is 50

What is 48 times 22 1/2 times 32 equal to?

Answers

The simplified answer is 34560

A baker made two cakes of the same size.
At the end of the day, there was 2/3 of a chocolate cake left.
There was 5/6 of a strawberry cake left.
The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.
How much larger was the chocolate cake pieces than the strawberry pieces?

Answers

Your question seems to be incomplete

Write the measure in degrees.

Answers

Hi Student!

Looking at the question, we are given a fraction that has a pi symbol.  We learn in trigonometry that a whole circle is made up of 2 * pi and we know that a circle is 360 degrees.  That means that just having pi means that we have 180 degrees.

Therefore, looking at the fraction that was given to us, we can basically interpret it as 180 degrees / 4.  That will give us a solution of 45 degrees which is our final answer.

Answer:

[tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\dfrac{\pi}4 = \left(\dfrac{\pi }{4} \times \dfrac{180}{\pi} \right)^{\circ} = \left( \dfrac{180}4 \right)^{\circ} = 45^{\circ}[/tex]

If f(x) = 3x+2, find f(f¹(14))

Answers

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

f(x) = 3x + 2

Find the value of f(14) :

f(14) = 3(14) + 2f(14) = 42 + 2f(14) = 44

Therefore, f(f¹(14)) = f(44).

Solving :

f(44) = 3(44) + 2f(44) = 132 + 2f(f¹(14)) = 134

after a 15% discount an item cost22.27 what was the origanl price

Answers

Answer:

26.2

X = 22.27/(1 - 0.15)

X = 22.27/0.85

X = 26.2

The function (x)-47x
represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 15 minutes?

Answers

Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.

What is a Function?

A function models the relationship between an input value and its corresponding output value.

Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:

j(15) = 47(15)

j(15) = 705

Number of jumping jack in 15 minutes is: 705.

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PLEASE HELP IM SO CONFUSED

Answers

Answer:

Lake Carters, Lake Amistad, Lake Alamo

Step-by-step explanation:

Starting with lake Alamo:

current level: 1,080

Full pool: -48.5

This indicates that the level is currently 48.5 feet below a full pool

Therefore, the level of it as a full pool is 1,080 + 48.5, or 1,128.5 feet

Lake Amistad:

Current Level: 1,038

Full pool: -7.1%

This indicates that the level is currently 7.1% below a full pool

subtract 7.1% from 100%

100-7.1=92.9

Percent formula:

P% * X = Y

P = 92.9

Y = 1038

X = 1038 / 92.9%

X = 1117.33

Full pool = 1117.33

Lake Carters

Current level: 1078

Full pool: + 60/13

This indicates that the level is currently 60/13 above a full pool

60/13 = 4.62

1078 - 4.62 = 1073.38

full pool = 1073.38

So, the order is Lake Carters, Lake Amistad, Lake Alamo

which digit is in the hundredths place of the decimal number 6.537?

Answers

3 is the number in the hundredths place

what is the second term in the sequence: 5, 10, 15, 20?

A. 5. B. 11 C. 15 D. 20​

Answers

Answer:

a ............,....

Step-by-step explanation:

....

....,,

Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal

Answers

Answer:

(C) Nuclear power

Explanation:

It does not produce green house gas
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