MATHEMATICS HIGH SCHOOL

The lcd for fractions 1/3 3/4 and 8/9 is

Answers

Answer 1

Answer:

Answer:

the answer is /36

Step-by-step explanation:

3 goes into 36

4 goes into 36

9 goes into 36

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Two quadratic functions are shown.Function 1: f(x) = 3x2 + 6x + 7 Function 2: x g(x) −2 13 −1 7 0 3 1 7 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (−1, 4). Function 1 has the least minimum value and its coordinates are (0, 7). Function 2 has the least minimum value and its coordinates are (−1, 7). Function 2 has the least minimum value and its coordinates are (0, 3).

Jill had $125 to spend at the mall. She spent 27% of that money on a pair of shoes. Jill spent $___ on the shoes. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:

Answers

Answer:

33.75

Step-by-step explanation:

Amount planned to spend = $125

Pairs of shoes = 27% of $125

Amount spent on shoes = 27% of 125

= 27 / 100 × 125

= 0.27 × 125

= 33.75

Jill spent $33.75 on shoes

Answer:

33.75

Step-by-step explanation:

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 200 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?

Answers

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Final answer:

To find the amount of real fruit juice needed, multiply the total volume of each drink by the percentage of juice it contains. For 250 liters of Drink A and 200 liters of Drink B, you need 32.5 liters of fruit juice in total. Apply the same method for any quantity of drinks.

Explanation:

We can compute the amount of real fruit juice needed for the drinks by using a similar method as in Chapter 9: multiplying the total volume of each drink by the percentage of real fruit juice it contains.

For Drink A: 250 liters * 5% = 12.5 liters of real fruit juice.

For Drink B: 200 liters * 10% = 20 liters of real fruit juice.

So in total, to produce 250 liters of Drink A and 200 liters of Drink B, you would need 12.5 liters + 20 liters = 32.5 liters of real fruit juice.

For aa liters of Drink A and bb liters of Drink B, you would do the following calculations:

Drink A: aa liters * 5%

Drink B: bb liters * 10%

Add the results from both calculations to get the total liters of real fruit juice needed.

Learn more about Percentage Calculation here:

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In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.

Answers

Imagine $\angle A$ at the top of the triangle and $\angle B$ at the bottom. (or used the attached picture for reference)

$\sin A= (opposite)/(hypotenuse)$

$\cos B = (adjacent)/(hypotenuse)$

One thing to note, however, is that the side opposite $\angle A$ is the same side as the one adjacent to $\angle B$ ! Thus $\sin A=\cos B$ .

Substitute these values for $2x+0.1$ and $4x-0.7$ and solve.

$4x-0.7=2x+0.1 \n 4x=2x+0.8 \n 2x=0.8\n \boxed{x=0.4}$

Point W (-4,7) was translated as follows:W(-4,7) W (-2,4). A student wrote the algebraic rule to describe the translation as (x,y)(x-3,y+2) evaluate the student's answer

Answers

The student's answer is wrong. This is because when the translation was done from (-4,7) to (-2,4), a value of 2 was added to x and 3 was subtracted from 7. Therefore, the translation should have been: (x,y)(x+2,y-3).

Answer with explanation:

It is given that, point W (-4, 7) is translated to W'(-2,4).

The Student Wrote this translation rule as:

(x,y)→(x-3, y+2)

So,if we apply the translation rule in W ,then

W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)

We are not getting the original coordinates of point after applying this translation rule.

So,the translation rule that student wrote is incorrect.

So,the translation rule should be ,

(x,y)→(x+2,y-3)

that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)

What is 7/8 closest to

Answers

Answer:

Step-by-step explanation:

The question seems incomplete so rounding to the nearest whole number I’m guessing your answer is 1

The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years

Answers

If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes: 150*(0.96)

At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹² simplify with calculator.

≈ 91.91

Value at the end of 12 years becomes ≈ $91.91

I hope this helps.

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