A mafia hideout was just raided and two large groups of criminals escaped. One group filled 8 cars and 8 vans with a total of 240 people. The second group filled 4 cars and 1 van with a total of 54 people.

Answers

Answer 1

Answer:

Number of people in each car = x = 8

Number of people in each van = y = 22

Step-by-step explanation:

Let

Number of people in each car = x

Number of people in each van = y

8x + 8y = 240 (1)

4x + y = 54 (2)

From (2)

4x + y = 54 (2)

y = 54 - 4x

Substitute y = 54 - 4x into (1)

8x + 8y = 240 (1)

8x + 8(54 - 4x) = 240

8x + 432 - 32x = 240

8x - 32x = 240 - 432

-24x = -192

x = -192/-24

x = 8

Substitute x = 8 into (2)

4x + y = 54 (2)

4(8) + y = 54

32 + y = 54

y = 54 - 32

y = 22

Number of people in each car = x = 8

Number of people in each van = y = 22


Related Questions

Solve for y .−5y−8(−7y+4)=−7−9(2−y)
asap

Answers

Answer:

y = 7/50

Step-by-step explanation:

-5y + 56y - 32 = -7 - 18 + y

50y = -25 + 32

50y = 7

y = 7/50

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

Open the bracket

[tex] - 5y + 56y - 32 = 7 - 18 + 9y[/tex]Collect the like terms

[tex]51y - 9y = - 11 + 32[/tex]

[tex]42y = 21[/tex]

Divide both sides by 42

[tex]y = \frac{21}{42} [/tex]

[tex]y = \frac{1}{2} [/tex]

Use the Distributive Property to simplify the expression. 4 (c+3)

Answers

Answer:

4c+12

Step-by-step explanation:

Answer:

4c+12

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by b and c.

Now, let's multiply 4 by c and 3:

4(c+3)

4c+12 (Answer)

Hope it helps.

Enjoy your day!

-Sparkle-

Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature?

degrees Celsius

Answers

The average low temperature would be 5+8+6+5+10+7+1 all divided by 7, so the answer is 6° celsius.

Only one answer one choice

Answers

Answer:

I believe B

Step-by-step explanation:

sorry if wrong and if it is I'll give you back your points

Y=-0.4 i think thats the answerrrrrr

Please help me with the correct answers!!

Answers

Answer:

circle

rectangle, or possibly a square

triangle

square

Step-by-step explanation:

Please help! A robotic vacuum cleaners can clean 2 square feet of carpet in 8 minutes. About how long does it take for it to clean a carpet covering a room with the dimensions shown below?

Answers

Answer: 6480

Step-by-step explanation: So since the dimensions are easy to calculate, just multiply 9 by 4 and 15 by 3, then you get 36 and 45. Multiply 36 by 45 and you get 1620, but since the vacuum can get 2 square ft, then divide by 2 and you get 810. Since it takes 8 minutes to clean up, multiply 810 by 8 and you get 6480. I do believe

if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees

Answers

Answer:

25

Step-by-step explanation:

Help ASAP please.due in a few minutes.

Answers

Answer:

Rumble charters

Step-by-step explanation:

OK bus line:

55 +3.50(25)

55+87.5

=142.50

Rumble charters:

75+2.25(25)

75+56.25

=131.25

From looking at the steps we could tell that Rumble charters bus line would be cheaper.

its the second one

Step-by-step explanation:

1. 3.50×25+55=142.5

2. 2.25×25+75=131.25

Hiioooo!! Can someone please help me with this! ❤️❤️❤️:)

Answers

Answer:

c b a

Step-by-step explanation:

What does the time say ?

Answers

Answer: it’s 6:00 pm

Step-by-step explanation:

1. All numbers in scientific notation must be a number between _1__ and __10__ multiplied by a power of ____.

Pleaseeeeeeeeee help me i don't know this :'(

I will give you extra points if u get it rights <3

Answers

Answer:

All numbers in scientific notation must be a number between 1 and 10 multiplied by a power of 10.

Step-by-step explanation:

Hope this helps, reach out to me if you have any more questions!


help please!! i need this asap

Answers

Answer:

8x=20

Step-by-step explanation:

Answer:

Option A.

Step-by-step explanation:

8x=20 will give you the value of x.

Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."





Which equation represents the situation? " A number decreased by 11 is equal to 48."




Which equation represents the situation? " A number decreased by 11 is equal to 48."





Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?

Let d = the amount that Drew has to save to help buy the gift.

Which equation can be used to solve the problem. Equation

How much money does Drew need to save so they could buy the gift?















Answers

A number decreased by 11 is equal to 48

x - 11 = 48

Lila and Drew:

18 + d = 30

To solve, subtract 18 from both sides of the equation. That gives you:

d = 12

Drew needs to save $12

factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)

Answers

Answer:

it's D

Step-by-step explanation:

pls give me da crown

I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax. How much tax do I have to pay on my subtotal of $78.00

Answers

Answer:

3.51

Step-by-step explanation:

Answer:

74.48

Step-by-step explanation:

78.00*0.045=3.52

78-3.52=74.48

A tessellation has 2 pairs of congruent angles around the point of intersection. The measure of each of one pair of congruent angles is 28∘. What is the measure of each one of the other pair of congruent angles? The measure of each one of the other pair of congruent angles is

Answers

9514 1404 393

Answer:

  152°

Step-by-step explanation:

If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.

The measure of each angle in the other congruent pair is 152°.

Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?

A 0.21%

B 21%

C 22%

D 27%

Answers

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.

Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.

Answers

Answer:

3

Step-by-step explanation:

What is the slope of this line? Please answer quick

Answers

Answer:

the slope is 2

Step-by-step explanation: the slope is the rise over run

The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.

Please hurry this is 7th grade hon

Answers

Answer:

1. place the circle on -1

2. open circle

3. Left

Step-by-step explanation:

10) A circle has center at (-5, 3) and passes through the point (-1, 3).
a) Give the radius of the circle.

b) Give the equation of the circle described.

Answers

a) radius= 4 units

b) (x+5)^2+(y-3)^2=4^2

The distance between the x values in the center point and a point included in the graph will give you the radius.
The x values are 4 units apart (-5 to -1) so your radius is 4 units

Circle formula:
(x-h)^2+(y-k)^2=r^2
Where (h,k) is the center point and r is the radius

Replace h with -5, k with 3, and r with 4 to get equation listed in answer above

Hope this helps!!

Sonia Oopsmeyer, who is proud of how fast she can punch numbers into her calculator, divided a number by 40 instead of multiplying it by 40. Her answer, which was wrong, was 20. What is the correcr answer? Describe the steps you took to find the correct answer.​

Answers

Answer:

320

Step-by-step explanation:

x is the mystery number

x÷40=20

20x40=80

80=x

80x40=320

hope this helps

a) Four children are playing tennis together. They all brought six racquets and 3 tennis balls. How many racquets
do they have all together?

Answers

Answer:

That would be 24

Step-by-step explanation:

multiply 6 x 4 you get 24. srry the question is so ez i dont have a lot of info lol

The area of a circle is 81 pi in2 what is the circumference in inches express ur answer in terms of pi

Answers

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

Find the area. The figure is not drawn to scale.

Answers

Answer:

A = 1/2 (13) ( 9 +9)

A = 1/2 (13) (18)

A = 117

Determine the value of x in each figure.
PLEASE HELPPPP

Answers

Answer:

x=3

Step-by-step explanation:

Hello There!

The shown angles have a sum of 90 degrees

This is noticeable because there is a square at the vertex which indicates that its a right angle

A right angle has a measure of 90 degrees

That being said we can create an equation to solve for x

90 = 66 + 8x having made an equation we now solve for x

step 1 subtract 66 from each side

90 - 66 = 24

66 - 66 cancels out

now we have

24 = 8x

step 2 divide each side by 8

8x/8=x

24/8=3

we're left with x = 3

Answer:

x=3

Step-by-step explanation:

8x+66=90 complement

8x=90-66

x=24/8=3

During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
shots
(Hint: A free throw is worth one point).

Answers

Answer:

I think the answer would be :

19 + 11 + 8 = 38 .

Answer:

19 + 11 + 8 = 38 .

Step-by-step explanation:

Abigail is 54 inches tall. Which of the following is Abigail's height?

Answers

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

~hope this has helped you out, have a gr8 day!~

Step-by-step explanation:

#8 A boogie board that has a regular price of $70 is on sale at a 35% discount. Find the selling price.

Answers

245. So you do 7x35.

Answer:

45.5

Step-by-step explanation:

To find 35% of 70, you have to use the equation...

70 x 35/100

70 x 35 = 2,450

2,450/100 = 24.5

24.5 is 35% of 70, so the item is now $24.5 less than the original price.

70 - 24.5 = 45.5

The selling price is $45.5

6th grade math help fast

Answers

I believe it’s 21 lime and 24 soy sauce because 7x3 is 21 and 8x3 is 24. Add 21 and 24 it’s 45 so I’m guessing that is the answer
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