I don’t understand how to do this. Someone please help me understand how to determine the solutions using the zero product property.

Answers

Answer 1

Answer: Set each pair of parentheses to zero. Solve them as separate equations.

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What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))?

Answers

$\text{Solve:}\n\n-(5-(a+1))=9-(5-(2a-3))\n\n-(5-a-1))=9-(5-2a+3))\n\n-(4-a)=9-(8-2a)\n\n-4+a=9-8+2a\n\n-4+a=1+2a\n\n\text{Subtract a from both sides}\n\n-4=1+a\n\n\text{Subtract 1 from both sides}\n\n\boxed{-5=a}$

Answer:

The answer is A: a=-5

Step-by-step explanation:

took the test

Olivia and her friends went to a movie at 1:50 P.M. The movie ended at 4:10 P.M. How long was the movie?

Answers

Answer: The movie was 2 hours and 20 minutes long.

Step-by-step explanation:

basic adding + subtracting

BUILDING CODE A city has a building code that limits the height of buildings around the central park . The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0. Write an inequality that represents the building code (1 pt)

Answers

The required inequality for the height of the building around the park should be y < 0.9x.

Given that,
A city has a building code that limits the height of buildings around the central park. The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
The height of all the buildings must be,
y < x - 0.1x
y < x(0.9)
y < 0.9x

Thus, the required inequality for the height of the building around the park should be y < 0.9x.

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Answer: 0= y x (x)

Step-by-step explanation: y x x ≠ 0.1x

What do the following two equations represent?

Answers

Answer:

perpendicular lines

Step-by-step explanation:

Answer:

Perpendicular lines

Step-by-step explanation:

The slopes are negative reciprocals

for the first equation we get

y=2x+5/2

and the second we get

y=-1/2x-1/10

2 and -1/2 are negative reciprocals

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the volume of the larger cylinder.

Answers

The volume of the larger cylinder is 250Pi.

We have given that,

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters.

We have to determine the volume of the larger cylinder.

What is the formula of the cylinder?

The formula to calculate the volume of a cylinder is given by the product of base area and its height.

5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)

54x4.6396=250

250 x pi = 250Pi.

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5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)
54x4.6396=250
250 x pi = 250Pi.

What is the fraction for 2.3125? Improper fraction form

Answers

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

We have,

To convert the decimal 2.3125 into an improper fraction, follow these steps:

- Identify the whole number part:

In this case, the whole number part is 2.

- Determine the fractional part:

The fractional part is the decimal part of the number. In this case, the decimal part is 0.3125.

- Convert the decimal part to a fraction:

To convert the decimal 0.3125 to a fraction, count the number of decimal places, which is four.

Then, write the decimal part over a denominator of 10 raised to the power of the number of decimal places.

0.3125 = 3125/10,000

- Combine the whole number part and the fractional part:

Add the whole number part to the fraction obtained in step 3.

= 2 + 3125/10,000

- Simplify the fraction if possible:

In this case, the fraction 3125/10,000 can be simplified by dividing both the numerator and denominator by 125, which is the greatest common divisor.

= 2 + 3125/10,000

= 2 + (3125 ÷ 125) / (10,000 ÷ 125)

= 2 + 25/80

- Convert the mixed number to an improper fraction:

Multiply the whole number part by the denominator of the fraction and add the numerator.

Place the result over the denominator.

= 2 + 25/80

= (2 x 80 + 25) / 80

= 165/80

Thus,

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

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Answer: The answer is $2(5)/(16)$ .

Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: $(2.3125)/(1)$ .

Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: $(2.3125)/(1)*(10000)/(10000)=(23125)/(10000)$ .

Step 3. You find the Greatest Common Factor of 23125 and 10000, or if it exists, and reduce the fraction by dividing both numerator and denominator by the GCF=625: Numerator: 23125÷625=37

Denominator: 10000÷625=16.

Last but not least is step 4. Simplify the improper fraction: $2(5)/(16)$ . Now in conclusion: 2.3125= $2(5)/(16)$ . I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D

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