A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?

Step-by-step explanation:

2x + 7x - 10 = 180° because these rwo angles are supplementary

10x - 10 = 180°

10x = 190° divide both sides by 10

x = 19

measure of angle on the right:

8x - 10 ➡ 8 × 19 - 10 = 142°

measure of angle on the left:

2x ➡ 2 × 19 = 38°

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

The actual length of the model will be 30 feet. Then the correct option is C.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The length of the model is 25 feet. And the scale factor is less than one.

We know that if the scale factor is from zero to one, then the size of the actual length increases.

If the scale factor is greater than zero, then the size of the actual length decrease.

And if the scale factor is one, then the size does not change.

The size of the actual length will be greater than 25 feet.

The actual length of the model will be 30 feet. Then the correct option is C.

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Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

The total dollar amount of coloured pencils sold is $108.75.

Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.

We need to find what is the total dollar amount of coloured pencils sold.

A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.

Now, the cost of each pencil is $4.25.

Then the cost of 15 pencils=15×4.25=$63.75

The cost of each pencil is $3.75.

Then the cost of 12 pencils=12×3.75=$45

Total=63.75+45=$108.75

Therefore, the total dollar amount of coloured pencils sold is $108.75.

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Answer:

The answer is 21

Step-by-step explanation: You substitue 3 for C and 4 for D and craete the equation [tex](3+4)3[/tex] so you add 3+4=7 and you get [tex](7)3[/tex] which is 7 times 3 =21

Answer:

See the steps below.

Step-by-step explanation:

1. Distributive Property

2. Multiply

3. Addition and Subtraction property of equation.

4. Add and Subtract

Best Regards!

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

Answer:

74 is the answer please mark me as brainlist and also follow me

Answer:

It's C

Step-by-step explanation:

The mean number of days employee were sick is 4.43 days.

Option C is correct.

Here,

Given that;

The department manager recorded the number of sick days taken last year by each employee, as shown in the table.

We have to find the mean number of days employee were sick.

What is Mean?

The average of the given numbers is called Mean and is calculated by dividing the sum of given numbers by the total number of numbers.

Now,

In given table;

Number of sick days are,

7, 4, 2, 6, 4, 5, 3

Hence,

Mean number of days employee were sick = [tex]\frac{7+4+2+6+4+5+3}{7}[/tex] [tex]= \frac{31}{7}[/tex][tex]= 4.4285[/tex]

Now, Rounding the number to the nearest hundredth we get;

Mean of number of days employee were sick = 4.43 days

Hence, The mean number of days employee were sick is 4.43 days.

Option C is correct.

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Answer:

$6

Step-by-step explanation:

If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.

Answer:

[tex]y=-\frac{15-4x}{5}[/tex]

Step-by-step explanation:

[tex]4x-5y=15[/tex]

Subtract 4x from both sides:

[tex]4x-5y-4x=15-4x[/tex]

[tex]-5y=15-4x[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5}=\frac{15-4x}{-5}[/tex]

[tex]y=-\frac{15-4x}{5}[/tex]

Answer:

i smell penys

Step-by-step explanation:

Answer:  48) D. 4        49) C. N1.40

Step-by-step explanation:

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

Step-by-step explanation:

It A because Acute is smaller then Obtuse that what I look at

Answer:

It A

Step-by-step explanation:

Can I please get brainliest?

Answer:

  $12.25

Step-by-step explanation:

Each of the 3 tickets costs 1/3 of the total:

  (1/3)($36.75) = $12.25

Each friend needs to pay Nathan $12.25 for a ticket.

Answer:

Step-by-step explanation:

1. Determine the LCM of the denominators LCM=10

2. Multiply each piece of the equation by the common denominator.

3. 2x + 5 = 40

4. Subtract 5 from both sides

5. 2x = 35

6. Divide both sides by 2

7. x = 35/2

Answer:

34

Step-by-step explanation:

We can solve this equation by giving Sara's number a variable.

Let it be x.

Then we solve by simply interpreting the problem step by step.

"If you subtract 14 from my number..."

x - 14

"...and multiply the different by -4..."

-4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation, we can solve for x.

1.) Use distributive property to expand.

-4x + 56 = -80

2.) Subtract 56 from both sides

-4x = -136

3.) Divide by -4

x = 34

Sara's number is 34

Using distributive property to expand, it is found that Sara's number is; 34

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

We need to solve this equation by giving Sara's number a variable.

Let the Sara's number a variable be x.

Then we solve by simply interpreting "If you subtract 14 from my number..." means

x - 14

Then "...and multiply the different by -4..." means -4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation,

1.) Use distributive property to expand;

-4x + 56 = -80

Subtract 56 from both sides;

-4x = -136

Now Divide by -4

x = 34

Hence, Sara's number is; 34

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Answer:

Step-by-step explanation:

3x + 6y = 3

x - y = -7

3x + 6y = 3

-3x - 3y = 21

3y = 24

y = 8

x - 8 = -7

x = 1

(1, 8)

answer is one solution

Answer:

99

Step-by-step explanation:

5x^2 -4x -9

5(-2)^2 -4(-2) -9

-10^2 +8 -9

100-1

99

Answer:

AK = BK, AM = CM, MN = CN, NP = CP

Step-by-step explanation:

B ∈ AC

Points K, M, N, and P are the midpoints of AB , AC , MC , and NC

Then

K is midpoint of AB ⇒

M is midpoint of AC ⇒

N is midpoint of MC ⇒

P is midpoint of NC ⇒

Answer:

Complete explanation is in the picture.

Step-by-step explanation:

Answer:

x=13

like the other person said but ill show you how

Step-by-step explanation:

(x-5)+(x+14)=35

add the x's together

add up the -5 and the 14

2x+9=35

subtract 9

2x=26

divide 2

x=13

Answer:

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Step-by-step explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c

Hope it helped

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

(-∞, ∞) or -∞ < x < ∞

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Plato

Answer:

i cant really see because of glare

Step-by-step explanation: