MATHEMATICS HIGH SCHOOL

The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the smaller number?a x - (x + 8) = 72
b x + (x + 8) =72
c x(x + 8) = 72
d x(x - 8) = 72

Answers

Answer 1
Answer:

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

so

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:
Answer 2
Answer:

Answer:

B

Step-by-step explanation:

Two numbers add up to 72

let's assume they r x and y

ome number is 8 more than the other

so it will be xand x+8

Therefore x+x+8=72

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Given the points (4,5) and (2.9) what is the equation of the line that goes through both points.

Answers

Answer: y = -2x + 13.

Step-by-step explanation:

To find the equation of a line that passes through the points (4,5) and (2,9), we can follow these steps:

1. First, let's determine the slope of the line using the formula: slope (m) = (change in y) / (change in x). We can choose any point as (x1, y1) and the other point as (x2, y2) to calculate the slope.

Using (4,5) as (x1, y1) and (2,9) as (x2, y2):

slope (m) = (5 - 9) / (4 - 2) = -4 / 2 = -2

2. Now that we have the slope (-2), we can use the point-slope form of a line to find the equation. The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is one of the given points and m is the slope.

Using (4,5) as (x1, y1) and -2 as the slope (m):

y - 5 = -2(x - 4)

3. Simplifying the equation further, we get:

y - 5 = -2x + 8

4. To obtain the equation in slope-intercept form, we can isolate y by adding 5 to both sides:

y = -2x + 8 + 5

y = -2x + 13

Therefore, the equation of the line that passes through the points (4,5) and (2,9) is y = -2x + 13.

Final answer:

The equation of the line that passes through the points (4,5) and (2,9) is y = x + 1.

Explanation:

To find the equation of the line that goes through the two given points (4,5) and (2,9), we can use the slope-intercept form of a linear equation, y = mx + b.

First, we need to calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values from the points, we get:

m = (9 - 5) / (2 - 4) = -2 / -2 = 1.

Next, we can substitute the slope and one of the given points into the equation to solve for the y-intercept (b).

Using the point (4,5):

5 = (1)(4) + b

b = 5 - 4 = 1.

Therefore, the equation of the line is y = x + 1.

Learn more about Line equation here:

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H(x) = –x + 5. Which could you change to move the graph down 3 units

Answers

Answer:
(x) = -x + 2

How many people preferred WCLM

Answers

96 people preferred WCLM
96 people prefer wclm

A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Answers

I = Prt
I = ($19,200)(12%)(5)
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The boat would cost $11,520 in 5 years.

A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.A. 9p + 11.5p = $94.75; p = $4.62

B. 9(p + $11.50) = $94.75; p = $5.00

C. 9p + $11.50 = $94.75; p = $11.75

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.

So the answer to this question is:

D. 9p + $11.50 = $94.75 p=$9.25

A share of stock in the Bree Medical Supply Company is quoted at 351/4. Suppose you hold 20 shares of that stock, which you bought at 311/2. If you sold your stock at 351/4, which of the following would be true? A. You suffered a loss of $630.00.
B. You made a profit of $75.00.
C. You suffered a loss of $75.00.
D. You made a profit of $705.00.

Answers

The answer is B. You made a profit of $75.00. . You buy 20 shares for 31 1/2. So, they cost: 20 * 31 1/2 = 20 * (31 + 1/2) = 20 * (62 + 1/2) = 20 * 63/2 = 10 * 63 = $630. You sold them for 35 1/4 each: 20 * 35 1/4 = 20 * (35 + 1/4) = 20 * (140/4 + 1/4) = 20 * 141/4 = 5 * 141 = $705. So, you sold them for the greater amount than you bought them: $705.00 - $630.00 = $75.00

A share of stock in the Bree Medical Supply Company is quoted at 351/4. Bought at = $31 1/2 = 63/2, selling price = 35 1/4 =141/4, Profit = 141/4 - 63/2 = 15/4 Number of shares= 20 , total profit =20 * 15/4 =75 You made a profit of $75.00.
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