A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car
holds 5 students and each bus hold 25 students, how many buses did they take?
Answer:
Number of cars = 14
Number of buses = 5
Step-by-step explanation:
Let
x = number of cars
y = number of buses
x + y = 19 (1)
5x + 25y = 195 (2)
From (1)
x = 19 - y
Substitute x = 19 - y into (2)
5x + 25y = 195
5(19 - y) + 25y = 195
95 - 5y + 25y = 195
- 5y + 25y = 195 - 95
20y = 100
y = 100/20
y = 5
Substitute y = 5 into (1)
x + y = 19
x + 5 = 19
x = 19 - 5
x = 14
Number of cars = 14
Number of buses = 5
Based on the number of vehicles and the number that each vehicle can take, the number of buses required is 4 buses.
There are 19 vehicles which take 5 students each. This means that the number of kids entering buses will be:
= 19 x 5
= 95 students
The students entering buses will be:
= Total number of students - Kids in vehicles
= 195 - 95
= 100 students
If each bus takes 25 students, the number of buses required is:
= 100 students / 25
= 4 buses
In conclusion, 4 buses were taken.
Find out more at https://brainly.com/question/15806057.
What is the lowest common denominator of the following two fractions?
3/4 and 1/5
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
Hope it helped
PLS mark BRAINLIEST
--8x + 10y = 16
-4x - 5y = 13
Step-by-step explanation:
please refer to the attachment
Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. At this rate, how long will it take to fill his 50 liter gas tank?
Answer:
4 1/6 min or 4 min 10 secStep-by-step explanation:
Filling rate is:
15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/minTotal volume is 50 l, time required to fill is:
50/12 = 4 2/12 = 4 1/6 min or 4 min 10 secA tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Answer:
Step-by-step explanation:
U= {A,B,C,D,E,F,G}
X = {A, B, C, D}
Y = {A, C, E, F}
a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}
B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}
c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}
Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]
Given information,
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
X: The letter selected comes before "E".
Y: The letter selected is found in the word "FACE".
The outcomes in favour of X will be:
[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]
The outcomes in favour of Y will be:
[tex]Y=\left \{ A,C,E,F \right \}[/tex]
Therefore,
Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]
For further details refer to the link given below:
https://brainly.com/question/795909
In the following diagram BCD, AC = BC and mZACD=136 , which of the following is m
(1) 22
(3) 44
D
(2) 68
(4) 74
Answer:
2) 68°
Step-by-step explanation:
The required answer is 68°
Pls help! Correct answers for brainliest!
1. The sum of three consecutive numbers is 102. What is the smallest of the the three numbers?
2. The sum of three consecutive numbers is 69. What is the smallest of the three numbers?
3. Keith bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 44 dollars. How much did each candy bar cost?
4. Tim bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many did Tim start with?
Answer: 1. 33 , 2. 21 , 3. $5.00 , 4. 39.
Step-by-step explanation:
4. Let the original number of baseball trading cards in Tim's possession be
x
An equation to arrive at the number will be:
x
+
9
2
=
24
This is because half the collection AFTER adding
9
new cards is
24
(the other half was eaten by his dog).
Multiply both sides by
2
.
x
+
9
=
48
Subtract
9
from both sides.
x
=
39
5x - 3y = 24////standard form to slope intercept form
Answer:
y =5/3x - 8
Step-by-step explanation:
5x - 3y = 24
-3y = -5x + 24
y = 5/3x - 8
a 4 +4a 2 b 2 −2b 4 a, start superscript, 4, end superscript, plus, 4, a, squared, b, squared, minus, 2, b, start superscript, 4, end superscript from -3a^4+5a^2b^2+2b^4−3a 4 +5a 2 b 2 +2b 4 minus, 3, a, start superscript, 4, end superscript, plus, 5, a, squared, b, squared, plus, 2, b, start superscript, 4, end superscript.
Answer:
- 4a⁴ + a²b² + 3b⁴Step-by-step explanation:
If I understand this correct the question is:
Subtract a⁴ + 4a²b² − 2b⁴From - 3a⁴ + 5a²b² + 2b⁴Solving by collecting like terms:
-3a⁴ + 5a²b² + 2b⁴ - (a⁴ + 4a²b² − 2b⁴) =-3a⁴ + 5a²b² + 2b⁴ - a⁴ - 4a²b² + 2b⁴ = - 4a⁴ + a²b² + 3b⁴Answer:
-4a⁴+a²b²-4b⁴ this is your answer. your question is in mess .I don't understand properly.
a⁴+4a²b²-2b⁴......(1)
-3a⁴+5a²b²+2b⁴.........(2)
subtracting equation 1_from 2
Step-by-step explanation:
-3a⁴+5a²b²+2b⁴
a⁴+4a²b²-2b⁴
-
____________
-4a⁴+a²b²-4b⁴
HELP PLEASE! WILL GIVE BRAINLIEST!
jack simplified the expression below!
Determine whether not jack is correct!
if he isn't explain the mistakes and provide the correct work!
{1}{3} (2x+9)+{2}{3} (4x-3) {2}{3} x+27{8}{3}x+2{10}{3}x+29
PLS HELP I AM BEHIND ON MY MATH AND FAILING!! I REALLY NEED HELP PLEASE I WILL GIVE BRAINLIEST!
Answer:
2116x2 + 3355 + 146
Step-by-step explanation:
Hope this helped <3
The height h is greater than 2.5 meters.
Write an inequality for the word sentence
Answer:
H > 2.5
Step-by-step explanation:
Greater = >
Lessthan = <
Equal = =
HELP ASAP WILL GIVE 30 points. A toy box measures 4 ft by 3 ft by 2 ft. Explain whether increasing
the height by four times, from 2 ft to 8 ft, would increase the volume
by four times.
Answer:
yes, the volume would be increased by 4
Step-by-step explanation:
the volume for a box is l x w x h
lets say l = 4, w = 3, and h = 2
this would give us a volume of 24
now calculate the new volume: l x w x 4h
4 x 3 x (4 x 2) = 96 which is 4 times bigger than 24
Reflect points please help me
Answer:
Step-by-step explanation:
The distance from point B to line m is 6 units. To reflect across the m axis, flip the point. Therefore, after reflection, point B' is 6 units under axis m
4(x+y) distributive property
A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?
Answer:
100%
Step-by-step explanation:
Let p = percent of cashews in first mix
2p = lb. of cashews in first mix
30(.20) = 6 = lb. of cashews in second mix
32(.25) = 8 = lb. of cashews in the combined mix
So,
lb. of cashews in first mix + lb. of cashews in second mix = lb. of cashews in the combined mix
2p + 6 = 8
2p = 2
p = 1 = 100%
Answer:
100%
Step-by-step explanation:
I solved it and it was correct lol
Help me number 4 asap
Answer:
B
Step-by-step explanation:
Answer:
the answer is b. -4y+1
Step-by-step explanation:
b -4y+1
find this ok. do not wrong answers I will report it
Answer:
your answer will be 13/5(x-5)
Step-by-step explanation:
hope it helps bye
Answer: 13 /5x−25
Step-by-step explanation: 8 /5x−25 − 6 /30−6x
-78x+390 /−30x2+300x−750
−13x+65 /−5x^2+50x−125
13(−x+5) /5(−x+5)(x−5)
13 /5x−25
Is 2(6 – 3x) + x equivalent to 2(3x) + x + 12?
Answer:
Step-by-step explanation:
Carry out indicated operations to see if they are equal
2(6-3x)+x=2(3x)+x+12
2(6)+2(-3x)+x=6x+x+12
12-6x+x=6x+x+12 combine like terms on both sides
12-5x=12+7x (we can see here they are unequal but we can continue) subtract 12 from both sides
-5x=7x divide both sides by x
-5=7
7 is not equal to -5 so the original expressions aren’t equivalent.
Which number line shows the graph of x2 11?
+
7
6
8
9
10
11
12 13 14
+
7
6
00
9
10
11 12 13 14
O
6
7
9
10 11
12 13 14
O
6 7 8
9
10 11
12 13 14
what is sales tax and tip
Answer:
sales tax is a percent the goverment takes from the item you bought and tip is the money you can give to a worker
Step-by-step explanation: you give a tip to a waitress at a restraunt. and sales tax is just a small percent the goverment claims from the item
Please help! Ill mark brainliest if correct! help ASAP
Answer:
Its 1,020
Hope u get it right!!!
U got this!!!!!!!!!!
Step-by-step explanation:
The ratio of boys to girls on the school swim team is 5:11. If there are 80 students on the swim team, how many of them are boys?
Help volume of a cone!!!!
I need help!!!!! Again
Answer:
Burger= 3
Fries= 4
Cheese= 3
3*4-3= 9
Step-by-step explanatio
Which of the following scenarios represents a possible impulse purchase?
Tim budgets for his scooter and decides to purchase the scooter through a dealership offering 0% interest to first time buyers.
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Tim researches interest rates on the purchase of a new scooter before deciding against making the purchase.
Tim researches interest rates on the purchase of a new scooter before deciding to make a purchase.
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
I had the same question and got it correct. Hope I helped. :)
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
He did not weigh all the assets
1,2,3,4,5,7,7,7,8,8
What is the median
Answer:
7
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
help click all the questions
Answer:
B,B,C
Step-by-step explanation:
#1: Meat is usually in ounces, patties weigh not too much, but enough. reasonable estimate. #2: Oil is a liquid, used not too much in baking. #3: Must be equal to 16/5.
also i need help on thiss plzz
Answer:
14y + 77 + 2y = 13
Step-by-step explanation:
Substitute: 7(2y + 11) +2y = 13
Distribute: 14y + 77 +2y = 13
can someone help me?
Answer:
shape is a Pentagon (has 5 sides)
Sum of interior angles is 540°
x = 90°
m∠B = 90°
m∠E = 100°
Step-by-step explanation:
to find the sum of the interior angles you take the number of sides, deduct two, and multiply by 180
a 5-sided figure would be (n - 2)·180° = 3(180) = 540°
add together all five angle measures and set equal to 540; combine like terms and solve for 'x'
220 + 130 + 130 + x + x + 10 = 540
350 + 2x + 10 = 540
2x + 360 = 540
2x = 180
x = 90