MATHEMATICS COLLEGE

Which of the following are steps to use when formulating an equation? Check all that apply. A. Make a table

B. Read the problem

C. Write each fact as a variable expression

D. Write each fact as a sentence

Answers

Answer 1
Answer:

Answer:A , C , D

Step-by-step explanation:I just did it and those were the answers

Answer 2
Answer:

Answer:

A and B

Step-by-step explanation:

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Subtract. (29v)−(−13v+59)
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A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? (5 points)Perimeter = 46 cm, area = 131.25 cm2 Perimeter = 126 cm, area = 972 cm2 Perimeter = 46 cm, area = 972 cm2 Perimeter = 126 cm, area = 131.25 cm2 Perimeter = 46 cm, area = 131.25 cm2 Perimeter = 126 cm, area = 972 cm2 Perimeter = 46 cm, area = 972 cm2 Perimeter = 126 cm, area = 131.25 cm2
Which number line represents the solutions to |–2x| = 4?
Help me out please and thank you

Solve this inequality. -9x - 3 > 51 A. x -392 C. x -6

Answers

Answer:

The answer is option C.

Step-by-step explanation:

- 9x - 3 > 51

Group like terms

- 9x > 51 + 3

- 9x > 54

Divide both sides by -9

x < - 6

Hope this helps you

In a school of 500 students, 30% had I-Phones. The percent of boys to giwere 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.

Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

What value of x makes the equation 7^15⋅7^4=7x true?

Answers

Answer:

To find the value of x that makes the equation 7^15 * 7^4 = 7^x true, you can use the properties of exponents.

In this case, you can apply the rule that when you multiply two numbers with the same base, you can add their exponents. So, for the equation:

7^15 * 7^4 = 7^x

You can combine the exponents on the left side:

7^(15 + 4) = 7^x

Now, you have:

7^19 = 7^x

For these two exponential expressions to be equal, the exponents must be equal:

x = 19

So, the value of x that makes the equation true is x = 19.

A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

Answers

Answer: a) E(x)=(-5945)/((30x+11)(5x+200)), b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

D(x)=(5x+200)/(30+11)

So, derivative w.r.t x would be

D'(x)=(5(30x+11)-30(5x+200))/((30x+11)^2)\n\nD'(x)=(150x+55-150x-6000)/((30x+11)^2)\n\nD'(x)=(5945)/((30x+11)^2)

As we know that

E(x)=(-xD'(x))/(D(x))\n\n\nE(x)=((-(-)5945x)/((30x+11)^2))/((5x+200)/(30x+11))\n\n\nE(x)=(5945x)/((30x+11)(5x+200))

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

E(2)=(5945* 2)/((30(2)+11)((5(2)+200)))\n\nE(2)=(11890)/((60+11)(10+200))\n\nE(2)=(11890)/(71* 210)\n\nE(2)=(11890)/(14910)\n\nE(2)=0.7975

Since, 0.7975 < 1, so the demand is inelastic.

(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

The total revenue will also increase with increase in price.

As total revenue = price* quantity

Hence, a) E(x)=(-5945)/((30x+11)(5x+200)), b) 0.7975, demand is inelastic, c) increase.

Final answer:

This problem involves the calculation of the elasticity of a demand function using the derivative of the function. The elasticity is then used to analyze the effect on the total revenue when the price changes. The elasticity at a specific point is calculated and used for further analysis.

Explanation:

For part (a), to find the elasticity of the demand function, we need to use the formula for the price elasticity of demand, which is E = (dQ/dX) * (X/Q). Here, dQ/dX is the derivative of the demand function concerning X. This needs to be calculated first. The value of E provides us with the measure of elasticity.

For part (b), when x = 2 we substitute this value into the formula for E to get the elasticity at x = 2.

For part (c), based on the concept of elasticity, if E > 1, the demand is said to be elastic and a price decrease will result in an increase in total revenue, and vice versa. If E < 1, the demand is said to be inelastic and a price decrease will result in a decrease in total revenue, and vice versa. So, after calculating E at x = 2, we can use it to determine the effect on total revenue.

Learn more about Elasticity of Demand here:

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omar has 5 liters of water he divides the water evenly between 4 buckets. how many milliters does omar pour in each bucket

Answers

Final answer:

Omar pours 1,250 milliliters of water into each of the 4 buckets after converting 5 liters to milliliters and then dividing by the number of buckets.

Explanation:

Omar has 5 liters of water which he wishes to divide evenly between 4 buckets. To find out how many milliliters of water he pours into each bucket, we need to follow two steps: convert liters to milliliters and then divide that amount by the number of buckets.

First, we convert 5 liters of water to milliliters. Since there are 1,000 milliliters in 1 liter, we can multiply:

  • 5 liters × 1,000 = 5,000 milliliters

Next, we divide the total milliliters by the number of buckets:

  • 5,000 milliliters ÷ 4 buckets = 1,250 milliliters per bucket

Therefore, Omar pours 1,250 milliliters of water into each of the 4 buckets.

Learn more about Unit Conversion here:

brainly.com/question/19420601

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Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

Solve for x in the equation x squared + 20 x + 100 = 36.

Answers

Answer:

x=-4 and x=-16

Step-by-step explanation:
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