The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 13 vans and 6 buses with 278 students. High School B rented and filled 10 vans and 12 buses with 428 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.​

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

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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

The hypothesis value is used to verify or refute a claim.

Note that:

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

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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.

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

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!

Answer:

D

Step-by-step explanation:

under real numbers we have natural numbers, whole numbers, integers rational numbers and irrational numbers

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.

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.

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

Answer:

A constant you need to find when given what the equation is equal to.

Answer:

Here, 'd' is the variable of 2.

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.

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

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.

Answer:

-24

Step-by-step explanation:

2(3x-4)

6x-8

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.

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

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

Answer:

x>-4 x≤-8

Step-by-step explanation:

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

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

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! ;)

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

68/7

it the process

the total process is in above picture

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

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]