Which value is a solution to the inequality 9-y >12

Answers

Answer 1

I believe the value is negative 4. If not, well, try any negative below that, such as -5,6,7,8, etc.

Answer 2

Answer:

y is less than -3

Step-by-step explanation:

To do this you would just subtract 9 from both sides so you get -y is greater than 3. Since you cannot have y as a negative number you will divide -1 from both sides but when you do that you will have to flip the sign so you get y is less than -3.


Related Questions

Adam is going to cook a turkey for 14 people

Answers

Answer:

they divied the turkey into 14 pices

Step-by-step explanation:

matthew grew 2.7 inches last year and 4.4 inches this year. How many inches has Matthew grown over the last two years combined

Answers

Answer:

7.1 inches

Step-by-step explanation:

Total inches grown last year by matthew = 2.7inches

Total inches grown this year by Matthew = 4.4 inches

Total inches grown by Matthew over the last two years combined will be the sum of heights of matthew for both the previous year and the current year.

Total inches grown = 2.7 inches + 4.4 inches

Total inches grown over the last two years = 7.1 inches

Taylor and Jeff have been selling frozen pizzas for a class fundraiser. Taylor has sold half as many
pizzas as Jeff. Together they have sold a total of 126 pizzas. How many pizzas did Taylor sell?

Answers

Answer:

Taylor sold 42 pizzas

Step-by-step explanation:

Make a system of equations where t represents the number of pizzas Taylor sold and j represents the number that Jeff sold:

t + j = 126

j = 2t

We can solve this system by substitution, since we can substitute 2t as j.

t + j = 126

t + 2t = 126

3t = 126

t = 42

Taylor sold 42 pizzas.

Answer:

Step-by-step explanation:

Let x represent the number of pizzas that Tailor sold.

Let y represent the number of pizzas that Jeff sold.

Together they have sold a total of 126 pizzas. This means that

x + y = 126- - - - - - - - -1

Taylor has sold half as many

pizzas as Jeff. This means that

x = 1/2 × y = y/2

Substituting x = y/2 into equation 1, it becomes

y/2 + y = 126

Multiplying both sides of the equation by 2, it becomes

y + 2y = 252

3y = 252

y = 252/3

y = 84

x = y/2 = 84/2

x = 42

Taylor sold 42 pizzas

Classify the polynomial 2x^3+6x^2-4 by the number of terms. binomial. trinomial. cubic. quadratic.

Answers

Answer:

monomial

Step-by-step explanation:

The approximate measurements of the Great Pyramid of Khufu are shown below. A square pyramid. The base is 230 meters by 230 meters. The triangular sides have a base of 230 meters and height of 187 meters. The pyramid has a height of 147 meters. What is the surface area of the pyramid? 86,020 meters squared 138,920 meters squared 224,940 meters squared 2,592,100 meters squared

Answers

Answer:

138,920 m²

Step-by-step explanation:

A square pyramid has 1 square base and 4 lateral triangular faces.

Area of square pyramid is given as BASE Area (BA) + ½*Perimeter of Base (P) × Slant height

Area of pyramid = [tex] b^2 + \frac{1}{2}*4(b)*l [/tex]

Where,

b = base length = 230 m

l = slant height = 187 m (height of the triangular sides)

Surface area = [tex] 230^2 + \frac{1}{2}*4(230)*187 [/tex]

[tex] = 52900 + 2(230)*187 [/tex]

[tex] = 52900 + 86020 [/tex]

[tex] = 138920 [/tex]

Surface area of the pyramid = 138,920 m²

Answer:

hope i helped thank you

Step-by-step explanation:

what are the coordinates of point b on ac such that ab=2/5ac

Answers

Answer:

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

and y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = [tex]\frac{2\times 2+(-8)\times 5}{2+5}[/tex]

  = [tex]-\frac{36}{7}[/tex]

y = [tex]\frac{2\times 5+5\times 6}{2+5}[/tex]

  = [tex]\frac{40}{7}[/tex]

Therefore, coordinates of pint B will be,

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Help ASAP!!!

A recursive sequence is a sequence where each term is found by adding a common difference

True or false

Answers

Answer:

True

Step-by-step explanation:

An object is moving at a speed of 7300 inches every 3 seconds. Express this speed in miles per day.

Answers

Answer:

≈3318 miles per day....

Step-by-step explanation:

Use multiplication or division of power series to find the first three nonzero terms in the maclaurin series for the given function. (Enter your answers as a comma-separated list.)
y=(e^-x^2)cosx

Answers

Answer:

1 , - ( 3x^2/2), + (25x^4/24).

Step-by-step explanation:

We are given the following information:

y = (e^-x^2)cosx.

STEP ONE: Write out the power series out(either by deriving it or otherwise).

If you check the power series table, you will get the power series for the two functions that is cos x and e^-x^2.

e^-x^2 = 1 - (x^2) + ( x^4/2! ) - (x^6/3!) +...

Cos x = 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

STEP TWO: Multiply both the power series of e^-x^2 and Cos x together because we are to determine or find the first three nonzero terms in the maclaurin series for the given function.

1 - (x^2) + ( x^4/2! ) - (x^6/3!) +... - 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

= 1 - ( 3x^2/2) + (25x^4/24).

= 1, - ( 3x^2/2) , + (25x^4/24) => comma- separated list.

College Calculus - hyperbolic functions (see attachment)

Answers

Answer:

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

Step-by-step explanation:

Using the fundamental theorem of calculus

Taking the derivative of the integral gives back the function

Since the lower limit is a constant when we take the derivative it is zero

d/dx [tex]\int\limits^x_4 {g(t)} \, dt = g(x)[/tex]

g(t) = sinh^-1 ( ln(7t^6 +3) / sqrt( 8+cot( t^( 3+t))))

Replacing t with x

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

WHY CAN'T ANYONE HELP ME :( Solve the formula for the specified variable. tex]D=\frac{1}{4}fk for f.

Answers

Answer:

4d/k or [tex]\frac{4d}{k}[/tex]

Step-by-step explanation:

first multiply both sides by four

you will have 4d=fk

then divide by k

4d/k=f

What is the square root of nine?

Answers

Answer:

3 or -3

Step-by-step explanation:

sqrt(9)

What number multiplied by itself will give you 9

3*3 =9

-3 * -3 =9

The square root of 9 is 3 or -3

suppose that two integers from the set of 8 integers {1,2,… ,8} are choosen at random. Find the probability that
i.5 and 8 are picked.
ii.Both numbers match.
iii.Sum of the two numbers picked is less than 4.

Answers

Answer:

Ok so we have a set of 8 numbers {1,2,...,8}

a) 5 and 8 are picked.The probability here is:

In the first selection we can pick 5 or 8, so we have two possible outcomes out of 8 total outcomes, then the probability for the first selection is:

P = 2/8 = 1/4.

Now, if one of those numbers was picked in the first selection, only one outcome is possible in this second selection, (if before we picked a 5, here we only can pick an 8)

Then the probability is:

P = 1/8

The joint probability is equal to the product of the individual probabilities, so here we have:

P = (1/4)*(1/8) = 1/32 = 0.003

b) The numbers match:

In the first selection we can have any outcome, so the probability is:

P = 8/8 = 1

Now, based on the previous outcome, in the second selection we can have only one outcome, so here the probability is:

P = 1/8 = 0.125

The joint probability is p = 1/8

c) The sum is smaller than 4:

The combinations are:

1 - 1

1 - 2

2 - 1

We have 3 combinations, and the total number of possible combinations is:

8 options for the first number and 8 options for the second selection:

8*8  = 64

The probabilty is equal to the number of outcomes that satisfy the sentence divided by the total numberof outcomes:

P = 3/64 = 0.047

Using the probability concept, it is found that there is a:

i. 0.03125 = 3.125% probability that 5 and 8 are picked.

ii. 0.125 = 12.5% probability that both numbers match.

iii. 0.046875 = 4.6875% probability that the sum of the two numbers picked is less than 4.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, two integers are chosen from a set of 8, hence, there are [tex]8^2 = 64[/tex] total outcomes.

Item i:

Two outcomes result in 5 and 8 being picked, (5,8) and (8,5), hence:

[tex]p = \frac{2}{64} = 0.03125[/tex]

0.03125 = 3.125% probability that 5 and 8 are picked.

Item ii:

8 outcomes result in both numbers matching, (1,1), (2,2), ..., (8,8), hence:

[tex]p = \frac{8}{64} = 0.125[/tex]

0.125 = 12.5% probability that both numbers match.

Item ii:

Three outcomes result in a sum of less than 2, (1,1), (1,2), (2,1), hence:

[tex]p = \frac{3}{64} = 0.046875[/tex]

0.046875 = 4.6875% probability that the sum of the two numbers picked is less than 4.

A similar problem is given at https://brainly.com/question/15536019

What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____

Answers

Answer:  63

=========================================

Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5  cross multiply

1.5x = 94.5

x = 94.5/1.5  dividing both sides by 1.5

x = 63

-----------

An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

Questions:

1. What do you notice about how the angles fit together around a point?

2. What is the measure of a straight angle?

3. Describe the relationship amoung the measure of the angles of ∆ABC

4. The triangle sum theorem states that forma ∆ ABC, m<A + m<A = 180°. Is this true? Explain

Answers

1. The angles form a straight angle

2. A straight angle is defined to be 180 degrees

3. The three angles of any triangle always add to 180, as the diagram shows.

4. This is false. We need to add the three different angles A,B,C to get 180. Adding angle A to itself may not lead to 180. A+A = 180 only happens when angle A is a right angle (90 degree angle).

3/4 (1/2x - 12) + 4/5 HELP

Answers

Answer:

3/8x - 9 4/5

Step-by-step explanation:

Well we need to simplify the following expression,

[tex]\frac{3}{4} (\frac{1}{2}x - 12) + \frac{4}{5}[/tex]

So we need to distribute 3/4 to (1/2x - 12)

3/8x - 9 + 4/5

3/8x - 9 4/5

Thus,

the answer is 3/8x - 9 4/5.

Hope this helps :)

in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation of 16,500 miles, what should be the guarantee period if the company wants less than 2% of the engines to fail while under warranty g

Answers

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]z = \dfrac{x - 170000 }{16500}[/tex]

Now;

[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]

[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]

[tex]{T- 170000}<- 2.06({16500})[/tex]

[tex]{T- 170000}< - 33990[/tex]

[tex]{T}< - 33990+ 170000[/tex]

[tex]{T}<136010[/tex]

Thus; the guarantee period should be less than 136010 miles

What is the value of x in the equation 5 (4 x minus 10) + 10 x = 4 (2 x minus 3) + 2 (x minus 4)?

Answers

Answer:

x = 1.5

Step-by-step explanation:

5(4x-10)+10x=4(2x-3)+2(x-4)

Distribute(5)

20x-50+10x=4(2x-3)+2(x-4)

Distribute(4)

20x-50+10x=8x-12+2(x-4)

Distribute(2)

20x-50+10x=8x-12+2x-8

Combine like terms

30x-50=10x-20

Subtract(10x)

20x-50=-20

Add(50)

20x=30

Divide(20)

x = 1.5

Hope it helps <3

Answer:

x = 3/2

Step-by-step explanation:

5 ( 4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

Expand the terms

That's

20x - 50 + 10x = 8x - 12 + 2x - 8

Simplify

30x - 50 = 10x - 20

Group the constants at the right side of the equation

That's

30x - 10x = - 20 + 50

20x = 30

Divide both sides by 20

x = 3/2

Hope this helps you

questions:

1. name two parallel lines___________________

2. Name the transversal lines________________

3. Name a pair of alternante exterior angles____________

4. Name an angle that is congruent to <2____________

5. Name an angle that is supplementary to <2________________________​

Answers

Answer:

a and b c  because it's crossing both lines a and b 1 and 5 4 is congruent to 21 is supplementary to 2 since they form a 180° angle

Which two points are on the graph of y=-x+ 3?
(-1,-2), (1,4)
(1, 2), (0, -3)
(0, 3), (4, -1)
(4, -1), (1, 3)

Answers

Answer:

(0, 3), (4, -1)

(1, 2)

Step-by-step explanation:

If the answers that have been provided to you are only in pairs then it'd just be the first answer I wrote. The points (1, 2) also are on the graph of y=x+3 but if the answers aren't individual than I'd just stick with the (0, 3), (4, -1). Does that make sense? I used a graphing calculator online called Desmos, it's very good. I highly recommend it for problems like these.

I hope this helps:) Select as brainliest because I actually put work into this and tried.

x/3 ≥−33 solve for x answer must be simplified

Answers

Answer:

[tex]\boxed{x\geq -99}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} \geq -33[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 3.[/tex]

[tex]\frac{x}{3} (3) \geq -33(3)[/tex]

[tex]x\geq -99[/tex]

Answer:

[tex]\boxed{\red{x \geqslant - 99}}[/tex]

Step-by-step explanation:

[tex] \frac{x}{3} \geqslant - 33 \\ x \geqslant - 33 \times 3 \\ x \geqslant - 99[/tex]

hope this helps you!

PLEASE HELP!!!!! QUICK!! THANKS

Answers

Answer:

D. [tex] y = \frac{8}{x} [/tex]

Step-by-step explanation:

The inverse variation between two variables usually takes the following equation form:

[tex] y = \frac{k}{x} [/tex]

In the equation form given above,

[tex] k [/tex] could be value of any real number

x is the explanatory variable (independet variable), while y is the response variable (dependent variable)

Therefore, [tex] y = \frac{8}{x} [/tex] , is an example of an equation that shows inverse variation between the x and y variables.

 The right option is D. [tex] y = \frac{8}{x} [/tex]

Write 3 expressions containing exponents so that each expression equals 81

Answers

Answer:

9x9= 81

3x3x3x3=81

81 to the first power.

Step-by-step explanation:

I hope this helps in any way:)

Nakashima Gallery had the following petty cash transactions in February of the current year. Nakashima uses the perpetual system to account for merchandise inventory. Feb 2 Write a $400 check to establish a petty cash fund. Feb 5 Purchased paper for the copier for $14.15 that is immediately used. Feb 9 Paid $32.50 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These costs are added to merchandise inventory. Feb 12 Paid $7.95 postage to deliver a contract to a client Feb 14 Reimbursed Adina Sharon, the manager, $68 for mileage on her car. Feb 20 Purchased office paper for $67.77 that is immediately used. Feb 23 Paid a courier $20 to deliver merchandise sold to a customer, terms FOB destination. Feb 25 Paid $13.10 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These cost are added to merchandise inventory. Feb 27 Paid $54 for postage expenses Feb 28 The fund had $120.42 remaining in the petty cashbox. Sorted the petty cash receipts by accounts affected and exchanged them for a check to reimburse the fund for expenditures. Feb 28 The petty cash fund amount is increased by $100 to a total of $500

Answers

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

What is the cost of a $1, 200 washing machine after a discount of ⅕ the original price?

Answers

Answer:

$960

Step-by-step explanation:

A shortcut method.

If you get a discount of 1/5, then that means you would end up paying 4/5 of the whole cost. That means all you have to do then is plug in what it costs, which in this case is 1200, and then multiply it by 4/5, so you end up with $960.

Answer:

$960

Step-by-step explanation:

1200*1/5 = 240

1200 - 240 = $960

Would appreciate brainliest!! But it's ok if not

A bag of 20 tulip bulbs purchased from a nursery contains 10 red tulip bulbs, 7 yellow tulip bulbs, and 3 purple tulip bulbs. What is the probability of randomly selecting a purple tulip bulb from the bag

Answers

Answer:

3/20

Step-by-step explanation:

since there is a total of 20 tulips that would be your denominator then your numerator would be the number of purple tulips which would be 3 so you probability of randomly selecting a purple tulip would be 3/20

The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W = f(T, v).

Estimate the values of fT(−15, 50) and fv(−15, 50).

V 20 30 40 50 60 70

T
−10 −18 −20 −21 −22 −23 −23
−15 −25 −26 −27 −29 −30 −30
−20 −30 −33 −34 −35 −36 −37
−25 −37 −39 −41 −42 −43 −44

Answers

Answer:

value of Ft(-15,50) = 1.3

Value of Fv(-15,50) = -0.15

Step-by-step explanation:

W = perceived temperature

T = actual temperature

W = f( T,V)

Estimate the values of  ft ( -15,50) and  fv(-15,50)

calculate the Linear approximation of   f at(-15,50)

[tex]f_{t}[/tex] (-15,50) =  [tex]\lim_{h \to \o}[/tex] [tex]\frac{f(-15+h,40)-f(-15,40)}{h}[/tex]

from the table take h = 5, -5

[tex]f_{t}(-15,40) = \frac{f(-10,40)-f(-15,40)}{5}[/tex]  = [tex]\frac{-21+27}{5} = 1.2[/tex]

[tex]f_{t} = \frac{f(-20,40)-f(-15,40)}{-5}[/tex] = 1.4

therefore the average value of [tex]f_{t} (-15,40) = 1.3[/tex]

This means that when the Temperature is -15⁰c and the 40 km/h the  value of Ft (-15,40) = 1.3

calculate the linear approximation of

[tex]f_{v} (-15,40) = \lim_{h \to \o} \frac{f(-15,40+h)-f(-15,40)}{h}[/tex]

from the table take h = 10, -10

[tex]f_{v}(-15,40) = \frac{f(-15,50)-f(-15,40)}{10}[/tex]  = [tex]\frac{-29+27}{10} = -0.2[/tex]

[tex]f_{v} (-15,40) = \frac{f(-15,30)-f(-15,40)}{-10}[/tex]  = [tex]\frac{-26+27}{-10}[/tex]  = -0.1

therefore the average value of [tex]f_{v} (-15,40) = -0.15[/tex]

This means that when the temperature = -15⁰c and the wind speed is 40 km/h the temperature will decrease by 0.15⁰c

w = f(T,v)

   = -27 + 1.3(T+15) - 0.15(v-40)

   = -27 + 1.3T + 19.5 - 0.15v + 6

   = 1.3T - 0.15v -1.5  

calculate the linear approximation

[tex]\lim_{v \to \infty}[/tex][tex]\frac{dw}{dv} = \lim_{v \to \infty} \frac{d(1.3T-0.15v-1.5)}{dv}[/tex]  = -0.15

What formula could you use to help find the area of the given triangle?

Answers

Answer:

Since it is a right triangle, you can use pythagorean theorem to find the missing side.

Step-by-step explanation:

The formula would be a^2+4^2=6^2 to find the missing leg
And then you do area=(1/2)4x the other leg

PLEASEEEEE HELPPOO
For Individual or Group Explorations
Maximizing the Total Profit
Payles at The Christmas Store very periodically with a high ef 550.000 in December
the Christmas Stove also comes the Powe, where profits reach a high of $80,000
in Aurust and a few of $20,000 in February Assume that the profit function for
Crm Store
Save
40
20
10
1 2 3 4 5 6 7 8 9 10 11 12
Month
a) Write the profit function for The Christmas Store as a function of the month
and sketch its graph
b)
Write the profit function for The Pool Store as a function of the month and
sketch its graph.
are are length
Write the total profit as a function of the month and sketch its graph. What is
the period?
are inside the
est enth of a
Use the maximum feature of a graphing calculator to find the owner's maxi-
mum total profit and the month in which it occurs.
Find the owner's minimum total profit and the month in which it occurs.
We know that y -a sin x + bcos x is a sine function. However, the sum of
two arbitrary sine or cosine functions is not necessarily a sine function. Find an
example in which the graph of the sum of two sine functions does not look like
a sine curve.
Explain.
is tangent to one

Answers

Answer:

what

Step-by-step explanation:

Which situation is most likely to have a constant rate of change?
HELP

Answers

Answer:

the answer i would go with is A

Good luck on your Test :)

Step-by-step explanation:

B doesnt really have a constant rate of change as it depends on how many games happen and usually the longer an arena stays open has no correlation on how many people attend the games there

C has no real constant rate of change as it always ends up stopping after a little bit, and the change is usually not a constant one

D this could count, but since its a number that would go down if its not brought back up, its not a real constant rate of change, since it cant go below or above a certain range

so by process of elimination, A is the answer. also seeing as how its saying the distance with the number of times, that means that its an objective thing, as a track is a set distance, and the distance of a run or the track cant be affected by time or anything and could technically never end. so its a constant thing, meaning the longer the distance is, the higher the laps around the track are, and it could theoretically go on forever.

i hope this helped answer your question! :)

The answer is the question is most definitely A
Other Questions
40 = 90^2/16 sinx cosx find x Identify the complete adjective clause. Dad is the only one with whom you can discuss this plan. Dad is the only one the only one the only one with whom the only one with whom you can discuss this plan with whom with whom you can discuss with whom you can discuss this plan you can discuss this plan Use zero product property to solve.F(x)=3x(2x-6) A newsletter publisher believes that 71q% of their readers own a personal computer. Is there sufficient evidence at the 0.010.01 level to refute the publisher's claim.Required:State the null and alternative hypotheses for the above scenario. 2) The senior classes at High School A and High School B planned separate trips to the localamusement park. The senior class at High School A rented and filled 2 vans and 14 buses with294 students. High School B rented and filled 3 vans and 7 buses with 161 students. Each vanand each bus carried the same number of students. Find the number of students in each van andin each bus.A) Van: 9, Bus: 28 B) Van: 11, Bus: 27C) Van: 20, Bus: 7 D) Van: 7, Bus: 20 Erin works for a dry-cleaning company that has a contract with the U.S. government. To save on cleaning fluid, her boss orders her to wash some clothes that are supposed to be dry-cleaned in a washing machine. When the courier hired to pick up the cleaned garments arrives, Erin tells him about her boss' actions. Erin tells no one else about what is going on and is later fired. Erin: Helppp plss!!!!! 10points A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the green train? Easy Question. Will mark brainliest. Which of the following strategies are used in biotechnology to solve a problem? I. Genetic engineering II. Biomimicry III. Biochemical engineeringI only II only I and II only I, II, and III Reagan first became a star in Republican politics when he: a.made a television speech for Goldwater in 1964. b.served in the Senate from California in the late 1960s. c.opposed Ford for the nomination in 1976. d.led opposition to Roosevelt in the 1930s. e.campaigned for Eisenhower in the 1950s. 81^x^2=27^x solve for x Most communities are built nearB. SeacoastsA. WoodC. MountainsD. Water According to current NIH Guidelines, which of the following is adequate justification for exclusion of women from NIH-funded research?There is compelling evidence that inclusion would be inappropriate with respect to the health of the subjects.Inclusion of women would complicate analysis of the results and increase the costs of conducting the clinical trial.The woman is of child-bearing potential. The subject is the part of the sentence that tells who or what did the action or being. True False Which of the following is best described as sets of three whole numbers (a, b, and c) that satisfy the equation ?A.The Pythagorean theoremB.Prime numbersC.Pythagorean triplesD.Perfect squares A system is a group of objects thats analyzed as one unit. Consider a car moving along a road that has a flat section and a hill. The energy of the car at any given time is equal to the energy that its engine provides minus the energy that the car. When the car moves along the flat section, all of its energy is , which is calculated from its velocity and . When the car moves uphill, some of its energy is transformed to , which is calculated from its gravity, height, and . Which blue line supports the theme love can change a person These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x? Find the area of the kite below. POSSIBLE ANSWERS: 168 mm 2 or 216 mm 2 or 195 mm 2 or 228 mm 2 Finder Technologies Inc. has manufacturing units in Canada. The country's stable economic and political environment helps the firm gain competitive advantage by lowering production costs and improving product quality. Other things being equal, the benefits realized from such a strategy can be typically referred to as