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Alexus [3.1K]
3 years ago
7

Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?

Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer: The expression is 7/2.

You might be interested in
Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!
zaharov [31]

Question 1:

The area of the triangle is 9\frac{5}{8} cm², if you want it rounded to the nearest whole number it will be 10 cm²

Question 2:

The area of the parallelogram is 304.5 m²

Question 3:

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The ratio of odd to even digits in the following number:  7,208,631

is 3 : 4

Question 5:

5 tons is equal to 10,000 pounds

Question 6:

A table measures 3 feet across is 36 inches across

Step-by-step explanation:

Question 1:

The formula of the area of a triangle is A=\frac{1}{2}bh , where

  • b is the base of the triangle
  • h is the height of the triangle

∵ The base of the triangle = 5\frac{1}{2} cm

∵ The height of the triangle = 3\frac{1}{2} cm

- Change the mixed numbers to improper fractions

∵ 5\frac{1}{2} = \frac{(5*2)+1}{2}=\frac{11}{2}

∵ 3\frac{1}{2} = \frac{(3*2)+1}{2}=\frac{7}{2}

∴ A=\frac{1}{2}(\frac{11}{2})(\frac{7}{2})=\frac{77}{8} cm²

- To change the improper fraction to mixed number divide 77 by 8

∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)

∴ 77 ÷ 8 = 9\frac{5}{8}

∴ A=9\frac{5}{8} cm²

The area of the triangle is 9\frac{5}{8} cm²

If you want to round it to the nearest whole number the area will

be 10 cm²

Question 2:

The formula of the area of a parallelogram is A = b h , where

  • b is the base of the parallelogram
  • h is the height of this base of the parallelogram

∵ The base of the parallelogram = 14.5 m

∵ Its height = 21 m

∵ A = b h

∴ A = 14.5 × 21 = 304.5 m²

The area of the parallelogram is 304.5 m²

Question 3:

∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and

   150 grilled chicken salads

∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches

- To find the ratio between the grilled chicken salads sold to the total

   number of lunches sold divide them and simplify the answer to the

   lowest term

→  G.C.S    :    Lunches

→  150       :    450 ⇒ divide both by 10

→  15          :   45 ⇒ divide both by 5

→  3           :   9 ⇒ divide both by 3

→  1            :    3

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8

The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9

∵ The number is 7,208,631

∵ The odd digits are 7 , 3 , 1

∴ There are 3 odd digits

∵ The even numbers are 2 , 0 , 8 , 6

∴ there are 4 even digits

∴ The ratio of odd to even digits is 3 : 4

The ratio of odd to even digits in the following number:  7,208,631

is 3 : 4

Question 5:

∵ One ton is equal to 2000 pounds

∵ There are 5 tons

→  Ton    :    Pound

→  1           :    2000

→  5          :    x

Use the cross multiplication

∵ 1 × x = 5 × 2000

∴ x = 10,000 pounds

5 tons is equal to 10,000 pounds

Question 6:

∵ A table measures 3 feet across

∵ 1 foot = 12 inches

∴ 3 × 12 = 36 inches

A table measures 3 feet across is 36 inches across

Learn more:

You can learn more about ratio in brainly.com/question/10781917

#LearnwithBrainly

6 0
4 years ago
X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square ​
Grace [21]

Answer: 20

Step-by-step explanation:

x+y=5

x-y=4

---------

x+y=5

x=4+y

--------

(4+y)+y=5

4+y+y=5

 4+2y=5

      2y=1

        y=0.5

        x=4.5

---------

x²-y²=(4.5)²-(0.5)²=20.25-0.25=20

7 0
3 years ago
2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28​
vovikov84 [41]

Answer:

a) 53 is prime

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jane is building a bookcase with 4 shelves. Each shelf is 24 inches long. How much wood does Jane need to make the 4 shelves?
Ksivusya [100]

Answer: 96 inches of wood

Step-by-step explanation:

24 × 4 = 96

So he would need 96 inches of wood!

Hope this helps!!! Good luck!!! ;)

7 0
3 years ago
Simplify 7(2x+y)+6(×+5y)
iris [78.8K]

Simplify, <em>7(2x+y)+6(x+5y).</em>

<em>a:</em> <em>20x+37y</em>

<em> (7 • (2x + y)) +  6 • (x + 5y) </em>

<em>Step  2  : </em>

<em>Equation at the end of step  2  : </em>

<em>  7 • (2x + y) +  6 • (x + 5y) </em>

<em>Step  3  : </em>

<em>Final result : </em>

<h3><em> </em><em> 20x + 37y</em></h3>

Thanks,

<em>Deku ❤</em>

4 0
3 years ago
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