Each fall, a horse ranch gives wagon rides. Tickets for adults are $10 each, and tickets for children are $6 each. No more than 25 people can fit on the wagon, and the ranch owners have a goal earning a minimum of $200 on each ride.

The system of inequalities that represents this situation is graphed below, where x represents the number of adults and y represents the number of children on the wagon ride.
X+y<_ 25
20x+ 6y_> 200

A. (19,6)
B. (17.5,5)
C. (10,15)
D. (30,-10)

Answer:

2x-6y=-24

2x=-24+6y

x=-24+6y÷2

x=-12+3y equation 1

x+(-5y)=-22

-12+3y-5y=-22

-13-2y=-22

-2y=-22+13

-2y=-9

y=-9÷2

y=4.5equation 2

putting value of equation 2 in equation 1

x=-12+3y

x=-12+3×4.5

x=-12+13.5

x=1.5 answer!!!

Answer:

546 mL of water

Step-by-step explanation:

To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.

Let the amount of water is 6x and that of lemon juice is x.

ATQ,

6x+x = 637

7x = 637

x = 91

Amount of lemon juice = 91 mL

Amount of water = 6x = 6(91) = 546 mL

So, 546 mL of water she should add to make 637 mL of lemonade.

Answer:$3.89

Step-by-step explanation:

divide 35.01 by 9 and then you get the answer $3.89

9514 1404 393

Answer:

  7/3

Step-by-step explanation:

The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":

  slope = m = rise/run = 7/3

The slope of segment 5 is 7/3.

Answer:

5 possible ways

Step-by-step explanation:

Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:

D E F

A B C

I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.

In reality, A and F can never change their positions if we maintain the arrangement specified.

What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.

Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.

Answer:

Option D

Step-by-step explanation:

Going through the choices will help determine which option best simulates the random selection of a voter.

Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.

Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.

Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.

Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.

Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.

Nava has a higher chance of being voted, so this option does not fit the stimulation.

Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang

In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.

Hope this helps :)

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

A cow is eating green grass that grows in a field. The grass in this scenario is the producer.

'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.

Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.

Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.

Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.

A few creatures eat just dead or decaying materials and are called decomposers.

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I am not certain but I think c? if its wrong sorry

Answer:

37 1/2

Step-by-step explanation:

before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.

The required solution to the given expression is 37 1/2 in mixed number form.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 10 ÷ 3 3/4

When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.

Thus, the required solution to the given expression is 37 1/2 in mixed number form.

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Answer:

f(4) is 6,520 greater than g(4)

Step-by-step explanation:

Answer:

the answer would be 210:40

Step-by-step explanation:

Answer:

I think the answer would be 5.4 squared would be 80. ( 5.4) squared would be 400. And (3.4) squares would be 114. I hope that this helps.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

since it is a gap of 6 the first one gave ...so 3-6=-3

Answer: 13/20

Step-by-step explanation:2 1/4 - 1 3/5 = 13/20

Answer:

13/20

Step-by-step explanation:

Answer:

8.5 feet

Step-by-step explanation:

632.5-12= 620.5

620.5/73=8.5

Answer:

true ig

Step-by-step explanation:

gfsetghdfr

Answer:

Here

Step-by-step explanation:

C.4

Each time you go up 4 over 1

so it would be 4/1=4

Answer:

The answer is 20 feet..

Answer:

It would be B

Step-by-step explanation:

Answer:

INTEREST=Rs 3960

Step-by-step explanation:

INTEREST=PTR/100

INTEREST=12000*3*11/100

INTEREST=3960

Answer:

rs 16411.57

Step-by-step explanation:

12000×11%÷100=1320

1320+12000=13320×11%÷100=

1465.20+13320=14785.20

14785.20×11%÷100%=1626.37

1626.37+14785.20=16411.57

Ans =16411.57

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!

Answer:

Step-by-step explanation:

We will use a proportion to solve this.

[tex]\frac{2}{4} = \frac{16}{y}[/tex]

Now, we cross multiply.

2y = 16 x 4

2y = 64

Now, we must divide by 2 to get the correct value for y

y = 64/2

y = 32

Now, we can use the same proportion to check our answer.

2(32) = 16 x 4

64 = 64 ✅

9514 1404 393

Answer:

  y = 1/2

Step-by-step explanation:

The inverse relation means ...

  y = k/x

We can find k from ...

  xy = k = (2)(4) = 8

Then when x = 16, we have ...

  y = 8/x = 8/16 = 1/2

y is 1/2 when x = 16.

Answer:

x = 7

Step-by-step explanation:

If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14

2x = 14 ⇒ x = 7

Answer:

4^5

Step-by-step explanation:

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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]

[tex] {4}^{8 - 3} = {4}^{5} [/tex]

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Answer:

m = 1/3

Step-by-step explanation:

Answer:

Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1

from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.

So to find this answer we could graph the points or just find out how  many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)

From -2 to 7 is 9 units and from 1 to4 is 3 units

The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3

Step-by-step explanation:

Answer:

A=P(1+

100

R

)

n

A=10000(1+0.1)

3

=13310

Step-by-step explanation:

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