Answer:
8 students in van, 29 students in bus
Step-by-step explanation:
To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.
High School A: 13x+6y=278
High School B: 10x+12y=428
Let's use elimination method to solve. We would multiply the first equation by 2.
26x+12y=556
10x+12y=428
Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.
26x+12y=556
-(10x+12y=428)
16x=128
With 16x=128 left, we can just solve for x.
16x=128 [divide both sides by 16]
x=8
Now that we have x=8, we can plug that into the equations above to find y.
13(8)+6y=278 [multiply]
104+6y=278 [subtract both sides by 104]
6y=174 [divide both sides by 6]
y=29
With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.
Step-by-step explanation:
Let,
No. of students in vans = x
No. of students in bus = y
In case 1
13x + 6y = 278(1)
In case 2
10x + 12y = 428(2)
On multiplying eq. 1 by 2
2(13x + 6y) = 2(278)
26x + 12y = 556 (3)
On subtracting 2 and 3
26x + 12y - (10x + 12y) = 556 - 428
26x + 12y - 10x - 12y = 128
16x = 128
x = 128/16
x = 8
From 1
13(8) + 6y = 278
104 + 6y = 278
6y = 278 - 104
6y = 174
y = 174/6
y = 29
Please help me answer this
Answer:
[tex]D)\ 25\%[/tex]
Step-by-step explanation:
The following equation can be used to relate the speed time and distance of an object in motion,
[tex](Speed)*(Time)=(Distance)[/tex]
One can also rewrite this equation in terms of time:
[tex](Speed)=\frac{(Distance)}{(Time)}[/tex]
Let this equation represent the relation between Mr.Wang's initial speed and travel time. However, in this problem, Mr.Wang faced a decrease in his speed, more specifically, a (20%) decrease. Subtract (0.2) from (1) to find Mr.Wang's speed in relation to his original speed. Let (x) represent the increase in time that Mr. Wang had to incur in order to reach his destination. Model this situation,
[tex](Speed)*(Time)=(Distance)[/tex]
[tex]0.8(Speed)*x(Time)=(Distance)[/tex]
Now use inverse operations to solve for the coefficient (x):
[tex]0.8(Speed)*x(Time)=(Distance)[/tex]
[tex]x(Time)=\frac{(Distance)}{0.8(Speed)}[/tex]
Using the relation state above: ([tex](Speed)=\frac{(Distance)}{(Time)}[/tex]) one can state the following:
[tex]x(Time)=\frac{(Distance)}{0.8(Speed)}[/tex]
[tex]x(Time)=\frac{1}{0.8}(Time)[/tex]
Thus, (Time) can be omitted from this equation, as it appear on both sides as a factor, hence one can then solve for (x):
[tex]x(Time)=\frac{1}{0.8}(Time)[/tex]
[tex]x=\frac{1}{0.8}[/tex]
Divide (1) by (0.8):
[tex]x=\frac{1}{0.8}\\x=0.25[/tex]
Multiply the decimal by (100) to put it into the percent form:
[tex]x=0.25\\x=25\%[/tex]
In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *
Answer:
A constant you need to find when given what the equation is equal to.
Answer:
Here, 'd' is the variable of 2.
Jon has to pay $7.00 admission for the skating rink in $1.50 per hour to rent rollerblades. How many hours can he skate for $19?
Answer: 8 hours
Step-by-step explanation:
Given information
Admission fee = $7.00
Hour rent fee = $1.50
Number of hours = h
Total fee = $19
Set equation according to the given information
Total fee = admission fee + (hours) × (hour rend fee)
Substitute values into the equation
19 = 7 + 1.5h
Subtract 7 on both sides
19 - 7 = 7 + 1.5h - 7
12 = 1.5h
Divide 1.5 on both sides
12 / 1.5 = 1.5h / 1.5
[tex]\boxed{h=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Please no links because they dont work :).
Answer:
C
Step-by-step explanation:
10y-3(y+5)
=10y-3y-15
=7y-15
I think the answer is C.
Step-by-step explanation:
hope it will help you
The system
2.+ 3y = 8
4x - y = 2
is solved algebraically. Which of the following can be used to correctly solve this system by using the elimination method? Selec
А
-2(2x + 3y = 8)
-4. -6y = -16
B
2(2x + 3y = 8)
-43 - 6y = 8
4r
-40 - by = -16
43 - y = 2
by : 8
2
4.2
- 4x + 4.r - by - y = -16 + 2
44-6y y = 8 + 2
C
34 - y = 2)
12-3y = 6
D
22. + 3y = 8)
13 6y = 16
2x + 3y = 8
12 - 3y = 6
4a +6y16
2
2x + 12x + 3y - 3y = 8 + 6
431-6yy = 16 + 2x
help
hvcjhjcfhjhgvhkgbnvg
Answer:
f(1)=1+2=3, as 1 is odd
f(2)=2*2=4
f(3)=3+2=5
f(4)=2*4=8
f(11)=11+2=13
which diagram correctly
shows the relationship
betweer sets of numbers?
Answer:
D
Step-by-step explanation:
under real numbers we have natural numbers, whole numbers, integers rational numbers and irrational numbers
PLEASE HELP!!! I really need help with this.
Answer:
M. 2.5n - (-8.2) = 26. 7
to find n transpose
2.5n + 8.2 = 26. 7
2.5n = 26. 7 - 8.2
2.5n = 18.5
n = 18.5 ÷ 2.5
n = 7.4
L. [tex]\frac{7a + 1}{2}[/tex] = 18
7a + 1 = 18 ×2
7a + 1 = 36
7a = 36 - 1
7a = 35
a = 35 ÷ 7
a = 5
N. [tex]\frac{2}{5}[/tex] b + 1 = -11
[tex]\frac{2}{5}[/tex] b = -11 -1
[tex]\frac{2}{5}[/tex] b = -12
b = -12 - [tex]\frac{5}{2}[/tex]
b = 20
H. 5 - [tex]\frac{9}{2}[/tex] d = 32
- [tex]\frac{9}{2}[/tex] d = 32 - 5
- [tex]\frac{9}{2}[/tex] d = 27
d = 27 + [tex]\frac{2}{9}[/tex]
d = 6
3(y - 5) + 2 = 5
answer choices:
a. 4
b. 7
c. -4
d. 6
Answer:
answer by your own
Step-by-step explanation:lol
Answer:
D.
Step-by-step explanation:
The first step is to subtract 2 on both sides, so
3(y - 5) + 2 - 2 = 5 - 2
3(y - 5) = 3
Next, multiply by or distribute the 3 on the left side.
3y - 15 = 3
Then, add 15 on both sides.
3y - 15 + 15 = 3 + 15
3y = 18
Finally, divide by 3 on both sides.
3y/3 = 18/3
y = 6
f(x) = -2x - 7 and g(x) = x+8/x find (g of f) (-7)
68/7
it the process
the total process is in above picture
a Find the Q2 and Q; of the following data. 5500, 6800, 4200, 3900, 7800, 6150, 4400, 7500 5 and 12 + 1 are in
Step-by-step explanation:
Quartile Formula:
Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)
Formula for Interquartile range = Q3 (upper quartile) – Q1 (lower quartile)
i don't know how to work it out but i gave you some information.
How do you write 1.2247 as a percentage?
Helllllpppppppp!!!!!
Answer: The correct answer is C
Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest
The algebraic expression for The quotient of 86 and x
Answer: 86 ÷ x or 86 / x
Step-by-step explanation:
A quotient is a number that results when one number is divided by another.
Therefore, in order to get the quotient, numbers or terms should process division which the final answer would be quotient.
In the process, [÷ ] or [/] the division signs shall be applied.
The quotient of 86 and x represents 86 divided by x, which the final result would be [tex]\boxed {86/x}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I believe the answer you are looking for is simply just 86÷x or 86/x.
(4-xy)(5x-3y)-(x+y)(x-3y)
Answer:
20x-12y-5x²y+3xy²-x²+2xy+3y²
Step-by-step explanation:
(4-xy)(5x-3y)-(x+y)(x-3y)
20x-12y-5x²y+3xy²-(x+y)(x-3y)
20x-12y-5x²y+3xy²-x²+2xy+3y²
f(x)=-x^2-4x-19
Find f(−9)
Answer:
-64.
Step-by-step explanation:
f(x)=-x^2-4x-19 Replacing x by -9:-
f(-9)= -(-9)^2-4(-9)-19
= -81 + 36 - 19
= 36 - 100
= -64.
Answer:
-64
Step-by-step explanation:
f(x)=-x^2-4x-19
Let x = -9
f(-9) = - (-9)^2 -4(-9) -19
= -81 +36 -19
=-64
what is 40% of 4x-10?
What is a dichotomous key?
a tool that allows scientists to measure how much glucose is produced by plants
a tool that allows for the identification of an organism based on a series of paired statements that are based on characteristics
a tool that is used to predict the types of offspring produced when two plants are crossed
a tool that is used to measure the height of a plant
2. Write an algebraic expression that models the cost of a telephone call is 35 cents plus 65 cents times the number of minutes. (use m for number of minutes)
Answer:
35 + 65 × m[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
in thailand the population of town is 48700 men and 41600 women what percentage of the total percentage are men
Answer:
53.931339977852% (you can round)
Step-by-step explanation:
You add up 48,700 and 41,600 and you would get 90,300 as the overall population. Then you would put it in fraction form if you want to convert it into a percentage. The fraction form would be 48,700/90,300. You could simplify it to 487/903. Then you do 487 x . You would cross multiply and get
___ = ___
903 100
903x = 48700. Then you would divide each side by 903 and get x = 53.931339977852% (you can round)
Answer:
Approximately 53.9%
To be exact, answer is 48700/903
Step-by-step explanation:
Percentage of men = Men ➗ Total population
48700 + 41600 = 90300
48700/90300 is approximately 0.539
0.539 * 100 = 53.9
I need help on my math packet!! Also I think I have an answer but I don’t know if it’s correct!
(+6) + (-9) =
Tysm if u helped!!
Answer:
-3
Step-by-step explanation:
Adding a negative number is like subtracting. Subtracting more than the original positive number gets you in to the negative numbers.
Emma found a counter example to a given conditional. What are the truth values of the hypothesis and the conclusion? Explain.
The hypothesis value is used to verify or refute a claim.
The truth value of the hypothesis countered by Emma is trueThe conclusion is falseNote that:
If a conclusion is false, then there can be a counter to refute the conclusion; The hypothesis of this conclusion is trueHowever, if a conclusion is true, then there can't be any counter.Because Emma found a counter, this means that the conclusion is false (as stated in 1, above)
Hence, the truth value of the hypothesis is true and the conclusion is false
Read more about hypothesis and conclusions at:
https://brainly.com/question/5497883
What's the area of a room that 18ft by 10ft
Answer:
180 square feet
Step-by-step explanation:
Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.
Whats the answer and the steps
2(3x-4)
Answer:
-24
Step-by-step explanation:
2(3x-4)
6x-8
A ant has six legs how many legs do eight ants have
Answer:
48
Step-by-step explanation:
In this problem, you need to find out how many total legs 8 ants would have together. Each ant has 6 legs; this means that to solve you must add 6 together 8 times. However, there is an easier way to do this. You can also multiply 6 by 8 to get the same answer. The answer is 48.
Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH
Problem 5
Answer: Yes the points are coplanar
------------------------
Explanation:
Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.
In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.
===========================================================
Problem 6
Answer: line segments WX, XY, and XK
------------------------
Explanation:
All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.
===========================================================
Problem 7
Answer: point W
------------------------
Explanation:
The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.
===========================================================
Problem 8
Answer: The points are not collinear
------------------------
Explanation:
To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.
===========================================================
Problem 9
I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.
According to the diagram above how long is the unknown piece
Answer:
17 mm
Step-by-step explanation:
11+? = 28
is the same as
28-?=11
The answer is 17mm.
Please mark me as brainliest if that helped. Thank you! ;)
What is the sum of 15 and the square root of 144?
Answer:
27 pls mark me branilest
Answer:
27
Step-by-step explanation:
Hi there!
[tex]15+\sqrt{144}[/tex]
The square root of 144 is 12:
[tex]= 15+12[/tex]
[tex]= 27[/tex]
I hope this helps!
a total of $10,000 is invested in two funds, Fund A and Fund B. Fund A pays 5% annual interest and Fund B pays 7% annual interest. The combined annual interest is $630. How much of the $10,000 is invested in Fund A?
The amount of the 10000 invested in each Fund A is $5,300
First step is to calculate the amount invested in Fund B
Let x represent the amount invested at 7%
.07x+.05(10000-x)=630
Open the bracket
.07x+500-.05x=630
Collect like terms
.02x=630-500
.02x=130
x=130/.02
x=$6,500
Second step
Now let calculate How much of the $10,000 is invested in Fund A
Fund A amount invested=10000-6500
Fund A amount invested=$3500
Inconclusion The amount o of the 10000 invested in each Fund A is $5,300
Learn more here:
https://brainly.com/question/11360350
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation: