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finlep [7]
2 years ago
13

Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, the

n find the amount of the shipping charge.
Mathematics
1 answer:
Elis [28]2 years ago
8 0

Answer:

$4.2

Step-by-step explanation:

1. 12%=0.12

2. 0.12 of $35 = 0.12 × $35

3. = $4.2

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X is greater than or equal to 11
goldenfox [79]

Answer: x ≥ 11

Step-by-step explanation: We wrote an inequality to represent this situation.

3 0
3 years ago
90 points!!
Svetllana [295]

Answer:

1) 2w + 2(3w) \leq 112

2) 850w > 300w + 7500

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

P = 2w + 2l

The problem states that the length of a rectangle is three times its width. So l = 3w and:

P = 2w + 2(3w)

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2w + 2(3w) \leq 112

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

E = 850*w, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

C = 300*w + 7500, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

E > C

850w > 300w + 7500

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

x = 8 + 2y.

The sum of their ages is less than 32, so:

x + y < 32

8 + 2y + y < 32

3y < 24

y < \frac{24}{3}

y < 8

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

x + y = 185

They are consecutive so:

x = y + 1

Replacing in the sum equation:

y + 1 + y = 185

2y = 184

y = \frac{184}{2}

y = 92

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

225 = \frac{192 + 214 + 250 + x}{4}

656 + x = 900

x = 900 - 656

x = 244

Don needs to earn at least 244 points in the fourth game.

8 0
3 years ago
Shane is goin to the movies with his friends.His mom give them $15.00 to spend on snacks. Drinks cost $2.00 each and candy cost
RUDIKE [14]
<h3>- - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - </h3>

➷ Simply divide the values:

15/2 = 7.5

Shane can buy 7 drinks

OR

15/3 = 5

Shane can buy 5 candies.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ Hannah ♡

3 0
3 years ago
Variation table of this <br> g(x)=2x^3 -x^2 -4x +6
Mrac [35]

Answer:

2x^{3} - x^{2}  - 4x +6

2x-x-4x^{3-2}+ 6

-3x+6

7 0
2 years ago
Five chips numbered 1 through 5 are placed in a bag. A chip is drawn and replaced. Then a second chip is drawn. Find the probabi
Vesna [10]

12345

The odds of drawing an even chip are \frac{2}{5}.

The odds of drawing an odd chip are \frac{3}{5}.

You multiply the two \frac{2}{5} x  \frac{3}{5} =  \frac{6}{25}.

Knowing you cannot simplify 6/25 any further, you now have your answer!


Hope this helps! <3

6 0
3 years ago
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