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Delvig [45]
4 years ago
13

write an equation in slope-intercept form for the line parallel to y=-7x-9 that passes through the point (4,-9)

Mathematics
1 answer:
uranmaximum [27]4 years ago
3 0

Answer:

7x = y + 37

Step-by-step explanation:

y = 7x - 9

Differentiating y with respect to x, we have as follows:

dy/dx = m = 7 ( where m is the slope)

Using the formula y - y1 = m(x - x1) to obtain the equation of line passing through point (4.-9)

y + 9 = 7(x - 4)

y + 9 = 7x - 28

∴ 7x = y + 37

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Carlos buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill. What is the best estimate of how much change
Molodets [167]

Given:

Carlos buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill.

To find:

The best estimate of the amount of change he should get.

Solution:

First we need to approximate the data values.

\$7.89\approx \$8.00

\$5.49\approx \$5.50

Now, the total cost of game and batteries is

\$8.00+\$5.50=\$13.50

He pays with a $20 bill.

Change=\$20-\$13.50

Change=\$6.50

Therefore, the estimated amount of change is $6.50.

3 0
3 years ago
How do you find the percent of a number?
Tom [10]

Answer:

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X

Y is 25, P% is 20, so the equation is 25/20% = X

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20

Substitute 0.20 for 20% in the equation: 25/0.20 = X

Do the math: 25/0.20 = X

X = 125

So 25 is 20% of 125

Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100

15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign

0.876 = 0.876 * 100 = 87.6%

(hope this helps can i plz have brainlist :D hehe)

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Answer:

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Step-by-step explanation:

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5. The ancient Babylonians were writing fractions in 1800 BCE. But they did
ankoles [38]

Answer:

The Babylonians employed a number system based around values of 60, and they developed a specific sign—two small wedges—to differentiate between magnitudes in the same way that modern decimal-based systems use zeros to distinguish between tenths, hundreds and thousandths.

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Step-by-step explanation:

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