The seniors and juniors at Sweet Valley High School are going on a trip to Busch
Gardens. The seniors filled 12 vans and 12 buses with 564 total students. The juniors
filled 6 vans and 13 buses with 492 students. How many students were in each van? In
each bus?
Solve the system of equations
Answer:
buses can hold 30 and vans can hold 17.
Step-by-step explanation:
Let the amount a van can hold be v and the amount a bus can hold be b.
12 vans and 12 buses totals 564: 12v + 12b = 564 (equation 1)
6 vans and 13 buses totals 492: 6v + 13b = 492 (equation 2)
Subtract 2 times equation 2 from equation1, we get 14b = 420.
Thus, b = 30.
Since 12v + 12b = 564, plugging in b=30, 12v + (12)(30) = 564, so v = 17.
The number of students filled in the van is 17, and number of students filled in the bus is 30.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as linear equation in one variable.
Let's suppose the total number of students in van is x, and the number of students in the bus is y
Now for the first scenario we can frame a linear equation in two variables such as:
12x + 12y = 564 or
x + y = 47 ....(1) (divide by 12 on both sides)
For the second scenario the linear equation in two variables becomes:
6x + 13y = 492 ....(2)
From the equation (1) take the value of x and plug in the equation (2), we get:
6(47-y) + 13y = 492
282 - 6y +13y = 492
7y = 492-282 (subtract 282 from both sides)
7y = 210
y = 30
Put this value in the equation (1), we get:
x + 30 = 47
x = 17 (subtract by 30 from both sides)
Thus, the number of students filled in the van is 17, and number of students filled in the bus is 30.
Learn more about the linear equation here:
brainly.com/question/11897796
Find the length of the third side.if necessary round to nearest tenth 20 and 24
Pls help ASAP
Answer:
31.2
Step-by-step explanation:
Answer:
13.3
Step-by-step explanation:
There are 3 yellow, 5 red, 4 blue, and 8 green marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green marble and then a red marble.
Group of answer choices
2/19
40/400
13/400
1/10
Answer:
iiiiiiii want to beeeeeee ninjaaaaaaa
Step-by-step explanation:
I need help I gotta find x.
Answer:
Enjoy:)
Step-by-step explanation:
PLEASE HELP ME FAST!!!
What must be the edge length for the volume of a cube to be equal in magnitude to the surface area of the cube?
Answer:
6
Step-by-step explanation:
you need x^3 = 6x^2
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 25% off clearance items. What % of the original price do you end up paying
Answer: 33.75%
Step-by-step explanation:
The items were marked down by 55% from their original price.
This means that the new price is:
= 1 - Percentage marked down
= 1 - 55%
= 45% of the original.
From this 45%, additional percentage of 25% is removed from this amount. The amount left will be:
= 45% * ( 1 - 25%)
= 33.75%
complete the table of values for
y=3-x^3
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Answer:
x | y
---------------------------
-2 | 11
-1 | 4
0 | 3
1 | 2
2 | -5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Brainliest?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
find the median and mean 42,15,14,48,39
Answer:
Hello! the answer is 39 and 32
Step-by-step explanation:
To find the median we need to reorder the numbers from lowest to highest:
14,15,39,42,48
The one in the middle is the median! If there happens to be an even number, take the two middle numbers add them, together and divide them by 2.
To find the mean (also know as the avergae) we need to add all the numbers together and divide by the number of values that are present:
42+15+14+48+39 = 158
158/ 5 = 31.6 or 32
Hope this helps!
find the solution set of 5x+7> 17.
Answer:
x > 2
Step-by-step explanation:
5x +7 > 17
5x > 10
x > 2
Answer:
the solution of the Awnser is (x | x>2)
Step-by-step explanation:
Let's solve your inequality step-by-step.
5x+7>17
Step 1: Subtract 7 from both sides.
5x+7−7>17−7
5x>10
Step 2: Divide both sides by 5.
5x5>105
x>2
Create an equation of a circle with center M(7, - 10) and radius 2 using the operations and values below Drag and drop an answer choice into each empty box below 710 + -2 4100 49 ( 2+(y
Is this expression equivalent 20 divided by 5 and 5 divided by 20
Answer:
no. if you do 5 divided by 20 your answer will be negative
Step-by-step explanation:
Solve for all values of x: (x + 1)² + 9 = 0.
Roll a die two times. What is the probability of getting a five and five
Answer:
1/36
Step-by-step explanation:
(1/6)×(1/6)=1/36
Question 1 of 10 Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 4x+8
A. (x2 + 4)(x+4)
B. (x2 + 2)(x+2)
C. (x2 + 4)(x + 2)
D. (x2+2)(x+4)
Answer:
c) (x+2)(x^2+4)
Step-by-step explanation:
x^3+2x^2+4x+8
=(x+2)(x^2+4)
The diagonal of a rectangle frame is 8 inches and the width of the frame is 6 inches. What is the length of this frame in inches?
Answer:
5.3 inches
Step-by-step explanation:
The diagonal of a rectangle frame is 8 inches and the width of the frame is 6 inches. What is the length of this frame in inches?
Diagonal² = Length² + Width²
Length = √Diagonal² - Width
= √8² - 6²
= √64 - 36
= √(28)
Length = 5.2915026221 inches
Approximately = 5.3 Inches
Which expression is equivalent to 10(f + 6e)?
a. 2(5f - 3e)
b. f(10 + 6e)
c. 2(5f + 3e)
d. 10(f + 6e)
Answer:
D. 10(f + 6e)
Step-by-step explanation:
sana nakatulong
If ∠5 = 137° and ∠7 = 100°, find the measure of ∠1. *
Answer:
m∠1 = 37°
Step-by-step explanation:
if m∠5 = 137 then m∠2 = 43 (supplementary angles)
if m∠7 = 100 then m∠3 = 100 (vertical angles)
m∠1 + m∠2 + m∠3 = 180°
m∠1 + 43 + 100 = 180°
You recently spent $22 to purchase a notebook, a box of pencils, and a package of pens. The box of pencils costs $2 less than the notebook. The package of pens costs 3 times as much as the box of pencils. Write and solve an algebraic equation to find the cost of each item you purchased.
Answer:
The answer is down below:
Step-by-step explanation:
Notebook: 22-x
Pens: (22 - x - 2) x 3.
Pencils: 22 - x - 2.
We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.
Notebook: 22-x
Pens: (22 - x - 2) x 3.
Pencils: 22 - x - 2.
We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x
GIVING brainliest, easy question
C
gl hope you score well
Answer c
hope this helps
What is the value of the expression 10-(1/2)^4•48
Answer:
If so, order of operation is coming into play
PEMDAS
P is the parenthesis and E is the exponent..... looks we got a 2 for 1 special solve.
(1/2)4
First
The exponent is 4 which means write
1/2
4 times
1 × 1 × 1 × 1 = 1
2 × 2 × 2 × 2 = 16
So our fraction is 1/16
10 - 1/16 - 48
now we have M D which is multiplication and division what is
1/16 - 48
now we just have 10 - 3
We don't have A ( addition ) so skip it
We do have S ( subtraction )
10 - 3 = 7.
Pls help, will mark brainliest
Step-by-step explanation:
[tex] \frac{\pi}{2} = 90[/tex]
its 1/4 of the circle
circle circumference:
[tex]8 \times \pi[/tex]
we need 1/4 of it, so its
[tex]2 \times \pi = 6.28[/tex]
What shape is the base of a pentagonal pyramid ?
Answer:
Step-by-step explanation:
The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.
PLEASE HELP These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
2
35 40 45 48
0
5
10
15
20
45
50
55
60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 30°, is less than the IQR
for town B, 46º.
B. The standard deviation for town A, 20°, is greater than the
standard deviation for town B, 10°.
C. The interquartile range (IQR) for town A, 20°, is greater than the
IQR for town B, 10°.
D. The interquartile ranges (IQRs) for towns A and B are both 20°.
Answer: D: The median for town A, 30 Degrees, is greater than the median for town B, 25 Degree.
Step-by-step explanation:
The median means the middle number. Town A median is 30 and Town B median is 25.
Step-by-step explanation:
Answer:
C. The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°Step-by-step explanation:
The IQR is about middle 50% of data range. This is the difference between Q3 and Q1.
Town A
Q3 = 40, Q1 = 20IQR = 40 - 20 = 20Town B
Q3 = 45. Q1 = 35IQR = 45 - 35 = 10Correct choice is C
P=7w - 5y
(c) Find the value of P when w = 2 and y = 4
Answer:
p=-6
Step-by-step explanation:
w =2 y =4
p=7w - 5y
p = 7(2) - 5(4)
p= 14 - 20
p= -6
Answer:
-6
Step-by-step explanation:
Substituting 2 for w and 4 for y, we get:
P=7w - 5y => P=7(2) - 5(4) = 14 - 20 = -6
Can you please help me please please help
Answer:
there is the answers❤ sorry its a little blurry
What is 12/5 in percent ?
Answer:
240
Step-by-step explanation:
do you want the whole explanation or just half of it
Answer:
240%
Step-by-step explanation:
12/5 = 2.4
1 = 100%
2.4 = 240%
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 17 people took the trip. She was able to purchase coach tickets for $350 and first-class tickets for $.1100 She used her total budget for airfare for the trip, which was $ 12,030. How many first-class tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah bought 9 coach tickets and 8 first class tickets.
Step-by-step explanation:
Since Sarah took the advertising department from her company on a round trip to meet with a potential client and, including Sarah, a total of 17 people took the trip, if she was able to purchase coach tickets for $ 350 and first-class tickets for $ 1100, and she used her total budget for airfare for the trip, which was $ 12,030, to determine how many first-class and coach tickets did she buy, the following calculation must be performed:
10 x 350 + 7 x 1100 = 3500 + 7700 = 11200
9 x 350 + 8 x 1100 = 3150 + 8800 = 11950
So Sarah bought 9 coach tickets and 8 first class tickets.
to support the high school the local business will donate five for every ticket sold at the homecoming game
Answer:
Part A. The point that represents what the local business will donate is (10, 5).
Part B. Student B was correct about his claim.
Step-by-step explanation:
The full question is:
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1/2x. Explain who is correct.
Hope this helps! :)
Choose the function rule that represents the sentence:
five more than the product of n and six is twelve
What is the surface area of the solid?
Answer:
othe large one is 234 i ran out of time sorry i didnt get circleto t
Step-by-step explanation:
Answer:
347.04 m²
Step-by-step explanation:
Total surface area = central rectangular prism + (1/2 left + 1/2 right)cylinder
a = 2x(11x3+11x6+6x3) + (2xπx(6/2)²+2xπx(6/2)x3)
= 234 + 113.04
= 347.04
