Mrs. Jennings had 5/7 gallons of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs. Jennings gave away all of the paint

Answers

Answer 1
Answer: To get the answer we have to divide 5/7 by 1/7.
To divide 2 fraciton we can multiply first by inverse of second.
(5)/(7) : (1)/(7)= (5)/(7)  * (7)/(1) = (5*7)/(7*1) = (35)/(7)=5 - its the answer

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What is the factorization of the expression below?16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)

Answers

Answer:

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

Answer:

B

Step-by-step explanation:

There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.

Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.

4x4 is 16. That's why you put fours in front of Xs.

I am sorry for getting this wrong (if i did)

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon. about how much will it cost to fill the tank?

Answers

It is given in the question that

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon.

It means cost of one gallon of gas is $3.65 .

And the tank hold 19.8 gallon . So cost of 19.8 gallon is

= $3.65*19.8 = $72.27

Therefore about $72.27 it will cost to fill the tank .

What is the reciprocal of (1/7)?

Answers

Answer:

0.14285714285

Step-by-step explanation:

pls mark as brainliest!!!

Answer:
7

Explanation:
The reciprocal of a number is to switch the numerator and denominator. In (1/7), the numerator is 1 and the denominator is 7. A fraction is always numerator/denominator. So, when (1/7) is flipped, the fraction’s reciprocal is (7/1) which is simplified to 7.

HELP 12 POINTS !!! Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?A.

Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?






B.

Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?






C.

Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?






D.

Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?

Answers

The answer is option d it represents the best situation to the equationHope i helped you again
D is right.  40 is the money he earns per day, and 10 commision on each item, which how many items with commision is x and then that it is all less than or equal to 100.

A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed.a. Write a polynomial in standard form that represents the area of paper that can be painted.
b. What is the area of the paper that can be painted when the margin is 2 inches wide?

Answers

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

a.

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). Each length and width is reduced by 'x'.

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

b.

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

mr carlos buys 1,080 apples. 1/9 of the apples are rotten. he sells the rest at $2 for 10 apples. how much does he earn from the sale

Answers

(1)/(9)\cdot 1080=120\n1080-120=960\n960:10=96\n96 \cdot \$2=\$192\n\nAnswer:Mr\ Carlos\ will\ earn\ \$192\ for\ the\ sale.

Answer:

$192

Step-by-step explanation:

Mr. Carlos sells 1080 * 8/9 = 960 apples

960 apples * $2/10 apples = $192