Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

Answers

Answer 1

Answer: Unfortunately, there are no given choices. However, I could provide the possible inequalities from the given problem. Converting the given to inequalities: 3.2x + 0.8y < 50 x + y = maximum There is no other limiting equation (i.e. the total cost of the books) such that the, if you wanted to maximize x, results to minimum y and vice versa.

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The area of a circular sun spot is growing at a rate of 600 km2/sec. (a) How fast is the radius growing at the instant when it equals 4,000 km?

Answers

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 161/8x + 1/2y = 52

What is the higher grade of Jose’s two tests?

48
52
80
96

Answers

Answer : 96

x – y = 16 --------> equation 1

$(1)/(8) x +(1)/(2) y = 52$

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

$(1)/(8) x +(1)/(2) ( -16 + x ) = 52$

$(1)/(8) x - 8 + (1)/(2) x = 52$

$(1)/(8) x + (1)/(2) x - 8 = 52$

Take common denominator to combine fractions

$(1)/(8) x + (4)/(8) x -8 = 52$

$(5)/(8) x - 8 = 52$

Add 8 on both sides

$(5)/(8) x = 60$

Multiply both sides by $(8)/(5)$

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

The answer you get is (96,80). 96 is greater.

A store buys an item for $50 and marks it up 100%. What is the price?

Answers

Answer

= $100

Explanation

Profit = selling price - buying price

percentage profit = profit/buying price × 100%

100% = profit /$50

Profit = 100% × $50

= 100/100 × $50

= 1 × $50

= $50

Selling price = buying price + profit

= $50 + $50

= $100

$100

100% would be doubling it.

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 3 = 0

Answers

x² – 3x – 3 = 0

First, add 3 to both sides

x² – 3x – 3 (+3)= 0 (+3)

x² – 3x = 3

Solve for a. 2ax = -3x; a = -3/2

x² - 3x + (-3/2)² = 3 + (-3/2)²

Simplify

x² - 3x + (-3/2)² = 21/4

Complete the square

(3 - 3/2)² = 21/4

solve:

x - 3/2 = √(21/4); x = (√21 + 3)/2

x - 3/2 = -√(21/4); x = ((-√21) + 3)/2

Answers:

x = ((√21) + 3)/2 & x = ((-√21) + 3)/2

hope this helps

Hello!

I believe the answer is X = -0.79, 3.79.( rounded to nearest hundredth )

I hope it helps!

Need Help Fast plsss

Answers

Answer:

The answer should be B.) 2yw+y-1

Step-by-step explanation:

For this equation you:

multiply both sides by y
Add -2 by both sides.
Divide both sides by 2.

If you flip three fair coins, what is the probability that you’ll get a head on the first flip, a tail on the second flip, and another head on the third flip?

Answers

Answer:

1/8.

Step-by-step explanation:

Probability of getting a head in one throw = probability of getting a tail in one throw = 1/2.

Prob (H T H) = 1/2 * 1/2 * 1/2 = 1/8.

NOTE: The probabilities are multiplied because the 3 events are independent.

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