Answers
Answer:
There are 24 students and teachers that rode in vans, and there are 385 students and teachers that rode in buses.
Step-by-step explanation:
First we are going to set up a system of equations where:
b= number of buses
v= number of vans
We know from the equation that each bus transported 55 people and that each van transported 12 people and that there was a total of 409 people transported. We also know that the number of buses was 5 more than the number of vans.
Knowing that we can set up our system:
[tex]\left \{ {{55b+12v=409} \atop {b=v+5\\}} \right.[/tex]
Since we know what b is equal to, we can now use the substitution method to plug the value of b from the bottom equation into the one on the top and solve for variable v.
55(v +5)+12v =409
From there we can distribute 55 into (v+5)
55v +275+12v =409
We can now combine like terms.
67v +275 = 409
From there we subtract 275 from both sides of the equation to isolate the variable.
67v +275 = 409
-275 -275
After doing this, we now divide both sides of the equation by 67 to solve for v.
[tex]\frac{67v}{67} =\frac{134}{67}[/tex]
We now know that v, the number of vans is 2 and can plug that into our bottom equation from our system of equations ([tex]b=v+5[/tex]).
[tex]b=2+5\\b=7[/tex]
Knowing that there are 7 buses and 2 vans, we can now plug these numbers into the terms in the top equation of our system. 55b and 12v.
[tex]55(7)=385[/tex]
[tex]12(2)= 24\\[/tex]
385 people rode buses. 24 people rode vans
Check your equation
409 people went in total. 385 + 24 = 409.
person above is correct
Related Questions
AD, BE and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
Find the measures of the following angles:
1. BOC
2. COD
Answers
Answer:
Boc= 80..it's opposite to the other and equal.
cod is 60. if you substract 360- 240 you get 120..then in half you gibd 60
The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay altogether?
Answers
$52.63
Step-by-step explanation:To find 20% of $43.86 we multiply $43.86 by 0.2
$43.86 • 0.2 = $8.772
Now add $43.86 and $8.772 to find out how much the family paid altogether.
$43.86 + $8.772 = $52.632
In money the smallest place value is cents so we have to round to the hundredths place.
Doing this we get the grand answer of:
$52.63
To find the altogether cost of the meal including tip you need to multiply the bill ($43.86) by 1.20
43.86(1.2) = 52.632
Same would go for if you were leaving a 10% tip but you would multiply by 1.10
How do find volume of the triangular pyramid, I’m so confused I need the formula as well ASAP,!!,, please thanks so much
Answers
Answer:
5100
Step-by-step explanation:
20 x 17 x 15 = 5100. hope this helps you!!!
also formula is 1/2 x b x h x l
The probability of rolling a number greater than 1 on a six-sided number cube us 5/6. Choose the likelihood that best describes the probability of this event.
A. Neither likely nor unlikely
B. Impossible
C. Likely
D. Unlikely
Answers
If you order 5 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answers
30 divided by 5 is 6.
5 times 6 is 30.
meaning there are 6 slices of pizza per box.
Answer:
6
Step-by-step explanation:
If you divide 30 by 5 you would get 6 and 6x5 is 30 aswell
Whoever helps gets brainliest!
Answers
4 miles per hour
Step-by-step explanation:Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.
Proportion
First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.
This creates the proportion [tex]\frac{12miles}{3hours}[/tex]So, the rate we are given is 12/3.
Unit Rate
To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.
12/3 equals 43/3 equals 1So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.
Graph
Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.
Answer the following sections on parallels lines
Answers
Answer:
Parallel lines are lines that never meet and are always the same distance apart. Lines X, Y, and Z are all parallel to each other.
Step-by-step explanation:
The line crossing them isn’t parallel
WHAT IS THE TRUE STATMENTS
Answers
Answer:
number 3
Step-by-step explanation:
Marco set aside 50 minutes before dinner to work on his homework. He spent 22 minutes on math. Marco’s grandmother wants to know what percent of his study time he spent on math.
Please help meeeee!
Answers
Answer:
44%
Step-by-step explanation:
(22/50) x 100 = 44% of his study time.
hurry please ill give brainly
Answers
Answer:
[tex]\large\boxed{ \sf 16x+12}[/tex]
Explanation:[tex]\rightarrow \sf 4(5x+3)-4x[/tex]
[tex]\rightarrow \sf 4(5x) +4(3)-4x[/tex]
[tex]\rightarrow \sf 20x +12-4x[/tex]
[tex]\rightarrow \sf 20x -4x+12[/tex]
[tex]\rightarrow \sf 16x+12[/tex]
B).16x+12
Step-by-step explanation:
4(5+3)-4x(20-4x)+12(20+4x)+1216x+12can someone help me with these problems?
Answers
same, i want the answer for the same question pls answer
2. 2000x0.75=1500
Im gonna sleep after this but for now Help ^^
Answers
Answer:
Both prisms have the same volume.
Step-by-step explanation:
Volume of Naomi's Prism:
5 x 2 x 14 = 140[tex]cm^3[/tex]
Volume of Ben's Prism:
(5 x 4) / 2 x 14 = 10 x 14 = 140[tex]cm^3[/tex]
They therefore have the same volume.
At the craft store, Ayana bought a bag of blue and orange marbles. She received 41 blue marbles and 9 orange marbles. What percentage of the marbles were blue? Write your answer using a percent sign (%).
Answers
Answer: 82%
Step-by-step explanation:
41+9=50
50*2=100
41*2=82
Is the answer to your question
Aakesh has two bags of marbles. The first bag contains 6 red marbles, 4 blue
marbles, and 5 green marbles. The second bag contains 3 red marbles, 1 blue
marble, and 5 green marbles. Aakesh will randomly select one marble from
each bag.
What is the probability that Aakesh will select a green marble from each bag?
A. 4/9
B.1/3
C. 5/9
D. 5/27
Answers
The answer for the 1st bag is option B = 1/3
The answer for the 2nd bag is option C = 5/9
Number of marbles in 1st bag - 15 (6 red, 4 blue & 5 green)
Number of marbles in 2nd bag - 9 (3 red, 1 blue & 5 green)
The formula of probability = Total number of events in the outcome /total number of outcomes.
Now the probability that Aakesh will select a green marble from the 1st bag is 5(green marbles)/15(total number of marbles in 1st bag)
That is 5/15=1/3
Now the probability that Aakesh will select a green marble from the 2nd bag is 5(green marbles)/9(total number of marbles in 1st bag)
That is 5/9
To know more about probability go to - https://brainly.in/question/17157610?msp_poc_exp=6
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
C.) 5/9
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
First we must figure out how many marbles we have in total.
Meaning we will add all of the marbles together in bag one and then bag two.
Bag one: 6+4+5= 15
Bag two: 3+1+5= 9
Total= 24 marbles
Now we will try and figure out how many greens are in the total amount of marbles.
Amount of green marbles in bag one: 5
Amount of green marbles in bag two: 5
Total green marbles: 10
The third and final step!
10/24 is the amount of green marbles so the answer is C!
Hope I helped~! >w<→⇒brainliest please? ∑(OΔO )♥♥︎Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?
1. (-2, -2)
2. (2, -6)
3. (-6, -6)
4. (-2, -10)
Answers
Answer:
Number 1, (-2, -2)
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY! 4.
Use the following images to answer the question:
a. Write a truth statement about each picture using Euclidean postulates.
b. Write the matching Euclidean postulate.
c. Describe the deductive reasoning you used.4.
Use the following images to answer the question:
Answers
Answer:
wut is this even supposed to be???
Step-by-step explanation:
Name all the angles.
A. 3 acute angles, 2 right angles
B. 2 acute angles, 3 right angles
C. 2 right angles, 2 obtuse angles, 1 acute angle
D. 2 obtuse angles, 2 acute angles, 1 right angle
Answers
Type a digit that makes this statement true.
64,638,7
3 is divisible by 3.
Answers
Answer:
The digit that makes the statement true is 2...hope this helps:)
Answer:
The digit is two.
Step-by-step explanation:
It is very simple, to find if a number is divisible by 3 specifically, you need to add all the digits together. All the digits together added up to 37, which is not divisible by 3. But if you make the missing digit 2 then the digits add up to 39 which is divisible by 3.
Field Trip Cost !!20 POINTS!!
Your principal has chosen you to help him/her to determine the cost of each part of the field trip. You must use your knowledge of solving equations in order help your principal out. Please help ASAP
Answers
Answer and work in the picture.
I did not understand q.2, so I left it blank.
Hope this helps!
Explanation:
First, I subtracted the fee from the budget, since I don't believe the service fee is a part of each ticket.
542.94-45.82=497.12
Then, I divided the answer from the equation to the number of people that are going, since ticket costs would be even amongst the 90 people.
497.12/90≈5.52
Graphing should be considered a method of _________
Answers
Explanation:
Because you can only use graphs in math
this is a bonus question
Answers
Answer:
10,500
Step-by-step explanation:
See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)
Area of Rectangle = lwh
For the water;
50 x 30 x 28= 42000
As for the needed volume:
50 x 30 x 35 = 52500
To find how much more water, subtract the smaller volume from bigger volume.
10500 should be the final answer
Which figure is a trapezoid?
A 4-sided shape with 2 parallel sides.
A 4-sided shape with 4 parallel sides.
A 4-sided shape with 4 parallel sides.
A 5-sided shape with 2 parallel sides.
Answers
Answer:
none of those
Step-by-step explanation:
A trapezoid is a 4-sided shape with 1 parallel side
Could you pls choose this as brainliest???!!!
Can someone help me with this
Answers
Answer:
1,256 dm^2 and 400π dm^2
Step-by-step explanation:
The circumference is equal to 2pi times the radius. So 40pi=2pi times the radius so the radius is 20. The area of a circle is pi times the radius squared or 400pi and if using 3.14 for pi this would be 1,256 dm^2
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:
Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Answers
Answer:
Step-by-step explanation:
A basket contains 19 apples. There are 9 yellow apples. There are 2 fewer red apples than yellow apples. There are 3 times as many yellow apples as green apples. How many red apples are in the basket? How many green apples are in the basket
Answers
Answer:
3 green apples
Step-by-step explanation:
3 x 3 = 9 "3 times as many yellow as green apples"
3 green + 7 red + 9 yellow
A basketball league wants to order 512 T-shirts for the teams. If there are 8 T-shirts in each package, how many packages of T-shirts should the league order?
Answers
Division!! 512 divided by 8 is 64
So reversed 64 x 8 is 512
Divide: 512/8 = 64
Check answer: 64 x 8= 512
Relationships… are they proportional? !!!20 POINTS!!!
Examine the following situations. Identify the variables and unit rate. Create a table,
graph an equation to determine the constant of proportionality and determine whether the relationship is proportional or not.
!!!SHOW WORK!!! (This is a repost)
Please help ASAP so my math grade can be an A+
Answers
Answers in the picture
Mrs. Hyde is the art teacher at Washington Elementary School. She is hanging her students' artwork on one of the walls in the school hallway. Use the clues to determine in which order the artwork is being hung, from left to right. The third graders are to the left of the fourth graders. The second graders are between the fifth graders and the third graders.
Answers
answer all 4 for brawliest thank you
Answers
1. A
2.B
3.A
4. C
These should be the answers
A company mailed out 896,988 coupon booklets. The company sent the same number of
booklets to each city. How many cities could the coupon booklets have gone to?
Select all the possible numbers.
10
6
4
8
Submit
4
Answers
Answer:
4 and 6
Step-by-step explanation:
10 and 8 leave a remainder so can't be equal number of booklet
896,988 ÷ 4 = 224,247 for each city
896,988 ÷ 6 = 149,498 for each city
If you divide 896,988 by 10 or 8 the answer will not be a whole number