Ashley’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?

Answers

Answer 1

Answer:

19 cars

13 buses

Step-by-step explanation:

We have a system of equations as follows

X + y = 32 -----1

3x + 27y = 408 ----2

x = car

y = bus

From equation 1

x + y = 32

x = 32 - y ---- 3

We put equation 3 into equation 2

3(32-y) + 27y = 408

96y -3y + 27y = 408

96 + 24y = 408

24y = 408 - 96

24y = 312

Divide through by 24 to get the value of y

Y = 312/24

Y = 13

We put the value of y in equation 3

x = 32 - 13

x = 19

So 19 cars would be needed for the trip and also 13 buses would also be needed


Related Questions

i givee brainlilsttt

Answers

Answer:

simple, it's (4,4) because the (-4,-4) is on the left side then on the right side, we know the x axis is positive right? so then you know that the bottom of the y axis is negative and the x axis is first in the coordinate and so the first one is positive now.

2(1/4d)+d=96 answer is possibly 64 is that correct?

Answers

Answer:

64

Step-by-step explanation:

2x(1/4 d)+d=96 (Rewrite the expression)

2x1/4d+d=96 (Reduce the numbers)

1/2d+d=96(Calculate)

3/2d=96 (Multiply both sides)

d=64

what is 1000×80,000 in stuck on this

Answers

Answer:

80,000,000

Step-by-step explanation:

> Next question You can retry this question below What is the slope of a line that is parallel to the line – 7x - y = 2 ? Write your answer as an integer or fraction. The slope is Check Answer Type here to search O​

Answers

Answer:

The slope of parallel line m = -7 is an integer

Step-by-step explanation:

Explanation:-

Given that the parallel line

                     -7x-y = 2

we know that the slope of the two parallel lines are equal

m₁ = m₂

The given parallel line equation

                           - 7 x - y = 2

The slope-intercept form

                             y = - 7x -2

comparing

                             y = mx +C

slope of parallel line m = -7 is an integer

y- Intercept  c = -2


The value of y varies directly with x, and y
Find y when x = 2.4.
7.2 when x = 1.6.

Answers

I believe it is corresponding to the value of x in type of situational problem.

Answer:

Step-by-step explanation:

manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?

Answers

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

Please help me solve it

Answers

Answer:

The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer

Step-by-step explanation:

Mark Me Brainliest Please

9- 2 3/4 please hurry

Answers

Answer:

6 1/4

Step-by-step explanation:

28 = 7x + 3 - 2x

Need all the work shown too solve for X

Answers

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

I need help getting the answer to this question. ​

Answers

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

I think this should help ya! -Furreto

Jocelyn invested $390 in an account paying an interest rate of 2.7%
compounded daily. Assuming no deposits or withdrawals are made,
how much money, to the nearest cent, would be in the account after 18
years?

Answers

Answer:

There will be $634.05 in the account.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$390 in an account paying an interest rate of 2.7% compounded daily.

This means that [tex]P = 390, r = 0.027, n = 365[/tex]

Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?

This is A(18). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(18) = 390(1 + \frac{0.027}{365})^{365*18}[/tex]

[tex]A(18) = 634.05[/tex]

There will be $634.05 in the account.

If the distance from point P to point L is the same as the distance from point P to point C, then P is on

Answers

Answer:

This answer is C, it is on the perpendicular bisector of segment LC.

Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL.  You will note that LC (if you connect those points) will become the perpendicular bisector to point P.

I hope that makes sense.....

Step-by-step explanation:

what percentage of 130 liters is 6.5 liters?​

Answers

Answer:

2%

Correct Answer : 2%

Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.

Step-by-step explanation:

please give me a heart anyone else please give me a heart thank you

The data distribution is ___

Answers

Answer:
Skewed right

Explanation:
The data is higher on the right

Answer:

skewed left

Step-by-step explanation:

House prices in the neighborhood average at $90.05 per square foot. If the house has 1055 square feet, what should be its price?
A. $139,750
B. $109,000
C. $95,000
D. $124,000

Answers

Answer:

C. $95,000

Step-by-step explanation:

90.05 times 1055 is $95,000.75 the closest number to that is $95,000.

Find the area of this Parallelogram.

Answers

Which one??? Can’t see the parallelogram

Which one's are true???

Answers

Answer: I believe b and d

Step-by-step explanation:

Answer:

A is true  b is true

Step-by-step explanation:

A.if u add a postive to a negative that is the same number u get 0

b. negative plus negative is positive

have a great day

(Blank) x 1/6 = 5/6


I haven’t done this in a while so I need help.

Answers

Answer:

5

Step-by-step explanation:

Divide 5/6 by 1/6 to get 5 as your answer.

I need help super quick

Answers

Answer:   D is correct

Step-by-step explanation:

everything under the X side can be multiplied by 5 and equal Y

Answer:

C

Step-by-step explanation:

What is 4 divided by 1/8

Answers

Answer:

32

Step-by-step explanation:

4/(1/8)

can someone help me please ​

Answers

Answer:

14c + 21d - 42

Step-by-step explanation:

Find an exact value.


sine of negative eleven pi divided by twelve.


A. square root of six plus square root of two divided by four.

B. negative square root of six minus square root of two divided by four.

C. square root of two minus square root of six divided by four.

D. square root of six minus square root of two divided by four.

Answers

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

3 + x, when the value of x is 15

Answers

Answer:

The answer is 18

Step-by-step explanation:

If you add 15 to 3 then you get 18

Hope this helps!!! :)

Answer:

x= -15

Step-by-step explanation:

I hope it's help you

Fernando saves a total of 8,046 pennies every two weeks. How many pennies does he save in 6 weeks?

Answers

8046 / 2 = 4023 --> each week.

- now multiply that by 6.

4023 X 6 = 24,138 pennies.

Answer:

24138

Step-by-step explanation:

6 weeks ÷ 2 = 3weeks

8046 × 3 = 24138

Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC

Answers

Answer:

The perimeter of ΔABC is 43 units

Step-by-step explanation:

An illustrative diagram is shown in the attachment below.

To find the perimeter of the triangle, we will first determine the length of the unknown sides.

First, we can determine /BC/ using the Sine rule

From Sine rule

[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]

∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]

In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]

m∠A=60° and m∠C=45°

∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]

[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]

[tex]/BC/ = 6\sqrt{6}[/tex]

To find /AC/, will first determine m∠B

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

60° +m∠B + 45° = 180°

m∠B + 105° = 180°

m∠B = 180° - 105°

m∠B = 75°

Also, using the sine rule

[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]

From the diagram, [tex]b = /AC/[/tex]

[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]

[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]

[tex]/AC/ = 6 + 6\sqrt{3}[/tex]

Now,

The perimeter of ΔABC = /AB/ + /BC/ + /AC/

= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]

= 43.09 units

≅ 43 units

Hence, the perimeter of ΔABC is 43 units.

Answer:

Using the figure above, if AB = RT and ∠R = 70°, then ________.

ΔABC ~ ΔRTS

m ∠ S = 50°

ΔABC ≅ ΔRTS

m ∠ S = 60°

Step-by-step explanation:

The edge of a cube is 6 inches. What is the total surface area of the package?​

Answers

Answer:

the answers is 216in²

Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
Blank 1:

Answers

Answer:

7.5

Step-by-step explanation:

Divide 30 by 3.99

30/3.99=7.5

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.

Answers

Answer:

the decision rule is to reject H0 if Z is < -1.645

Step-by-step explanation:

this question is interested in the decision rule.

H0: u = 449

H1 : u <449

We find the test statistic

Mean bar x = 441

u = 449

Sd = 18

n = 37

Z = barX - u / sd/√n

= 441-449/18/√37

= -8/18/6.083

= -8/2.959

Z = - 2.7036

This is the value of the test statistic

The critical value at 0.05 = -1.645. this is a left tailed test

The decision rule is to reject H0 if Z < -1.645

The test statistic is less than the critical value

-2.7036 < -1.645

So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.

t is the letters in the word thinking

Answers

Answer:

u is the one on my mind rn

Step-by-step explanation:

HAHAHAHAHHAA XD

Use the LCD to rewrite
3/4 5/8 1/10
with the same denominator.


Answers

Start by using the same denominator which would be 40 as all of the bottom numbers go into this then multiple the numerator(top numbers) by the same number you multiplies the bottom by to get 40 so
3/4 to get to 40 you multiplied by 10 so it would be 30/40
5/8 would be 25/40
1/10 would be 4/40
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