MATHEMATICS MIDDLE SCHOOL

Help me with this problem please?Rewrite the equation with integer coefficients. Then, solve for x. Show all work.

4/5x+1/6=8/3x-2

New Equation:
x=

Answers

Answer 1
Answer: 15(4/5 x + 1/6)=15(8/3 x-2)
12x + 2.5 = 40x - 30
12x - 12x +2.5 = 40x - 12x - 30
2.5 = 28x - 30
2.5 + 30 = 28x - 30 + 30
32.5 = 28x
32.5/28 = 28x/28
x=9/56

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Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
Write an explicit rule which can be used to determine the value of her art collection n years after that. Use this to determine the value of her collection 10 years after she started tracking its worth rounded to the nearest dollar.

Answers

Answer:

Value = 500000 × (1.1^n)

$1,296,871

Step-by-step explanation:

a = 500000

r = 550000 ÷ 500000 = 1.1

1st term is the initial year:

n years after that is the "n+1"th term

Value = 500000 × (1.1^n)

n = 10

500000(1.1¹⁰)

1,296,871.23005

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

Answer: He would pay $7.97 for the bagel.

Step-by-step explanation:

Since we have given that

Number of dozen bagels he brought to school = 1.5

Cost of a dozen = $5.98

Total cost of 1.5 dozen bagels he brought to school is given by

1.5* 5.98\n\n=\$8.97

According to question, he used a coupon that took $1.00 off of the total .

so, it becomes

\$8.97-\$1.00\n\n=\$7.97

Hence, he would pay $7.97 for the bagel.
1 Dozen = 12
1 Dozen = $5.98
1/2 Dozen = 6
1/2 Dozen = $2.99

Add 1 Dozen ($5.98) and 1/2 Dozen ($2.99) Which Equals= $8.97 then subtract the $1.00 Coupon So final answer is $7.97 for 1.5 dozen bagels.

Select the objects that hold the same amount of liquid as a 96 fluid-ounce jug. Mark all that apply. ( also please support your answer by explaining so I can understand.)A) three 1 quart bottles
B) two 1 quart bottles
C) two 1 quart bottles and two 1-pint bottles
D) one 1 quart bottle and eight 8-ounce fluid glasses
E) two 8 ounce fluid glasses and two 1 pint bottles

Answers

96oz=3quart=6pint
2pint=1 quart
8oz=1 cup
2 cup=1 pint

A. 3 quart is correct

B is wrong

C. 1 quart+2 pint=2quart, makes it wrong

D. 1 quart+eight 8 oz=1 quart+8 cup,=1quart+4pint= 1quart+2quart=3quart, this is correct

E. two 8oz and 2  pints=2 cups+1 quart=1 pint+1 quart which is wrong

answer is A and D
 I think it would be a. c. e.

the length and width of a book are in the ratio 3:2. What fraction of the length is the width of the book

Answers

The fraction of the length is the width of the book is 2/3.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, the length and width of a book are in the ratio 3:2.

The fraction is 2/3

Therefore, the fraction of the length is the width of the book is 2/3.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2
What fraction of the length is the width of the book
 is 2:3

Avallable!1281
15. A mountain is 29,135 feet tall. From base camp at
17,600 feet, a climber hiked 2,300 feet. How much
farther does the climber have before reaching the top
of the mountain?
16. John Adams was born in 1732 and became President
in 1797. Harry S. Truman was born in 1884 and
became President in 1945. Who was older when he
became President?

Answers

Answer:

a. 9,235 feet

b. John Adam was older when he became president.

Step-by-step explanation:

(15). Height of the mountain = 29,135 feet

A climber hiked from base camp at 17,600 feet and then 2,300 feet.

He hiked total = 17,600 + 2,300 = 19,900 feet

Now the distance is left to reach the top = 29,135 - 19,900

                                                                    = 9,235 feet

The climber is 9,145 feet farther to reach the top of the mountain.

(16). John Adams was born in 1732 and became president in 1797.

At that time his age was = 1797 - 1732 = 65 years

Harry S. Truman was born in 1884 and became president in 1945.

At that time his age was = 1945 - 1884 = 61 years

John Adams was older when he became president.

Answer:

15. 9235

16. John Adams

Step-by-step explanation:

Question 15

1) Find the height the climber reached after going 2,300 feet:

17600+2300=19900

2) Find the distance between the climber's position and the top of the mountain:

29135-19900=9235

Question 16

Subtract the year each person became president from the year they were born:

1797-1732=65 <-- John Adams

1945-1884=61 <-- Harry S. Truman

The table shows how much each fifth grade room earned from a bake sale.the money is going to be given to 6 different charities if each charity is given an equal amount about how much will each charity receive show how you estimated Room Earnings
110............... 327
112................ 425
114................ 550
116................ 486

Answers

327+425+550+486 is 1788 so to get the answer you need to divide it by 6

Answer:

About $300.

Step-by-step explanation:

To estimate, we will round these values to the nearest hundred.

327 rounds to 300; 425 rounds to 400; 550 rounds to 600; 486 rounds to 500.

Together, these make

300+400+600+500 = 1800

There are 6 charities; dividing by 6, we have

1800/6 = 300
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