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Paul [167]
3 years ago
9

Which expression has the greatest value? 3/4÷1/3 1 7/8÷1 1/2 3/4÷1 1/2 1 7/8÷1/3

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

1 7/8÷1/3

Step-by-step explanation:

3/4÷1/3 = 3/4×3 = 9/4 = 2.25

1 7/8÷1/2 = 15/8×2 = 15/4 = 3.75

3/4÷1 1/2 = 3/4÷3/2 = 3/4×2/3 = 1/2 = .5

1 7/8÷1/3 = 15/8×3 = 45/8 = 5.625 (largest)

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What is the simplified form of x+8/4-x+5/4
kap26 [50]

Answer:

Step-by-step explanation:

x+ 8/4 -x+ 5/4

= x+2+-x +5/4

Combine Like Terms:

x+2+-x+ 5/4

(x+x)+ ( 2 +5/4)

= 13/4

5 0
3 years ago
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3 litres of water is how many cups? 3 litres of water is how many cups? 1 following 5 answers 5 Report Abuse Are you sure you wa
Valentin [98]
If a cup is a regular sized cup that is 2 deciliters, and 1 liter equals 10 deciliters, that means that 1 liter = 5 cups, which means that 3 liters = 15 cups. If it is a cup that has 0.33 dl, then the correct number would be 9 cups.
8 0
3 years ago
The length of a side of square a is 7 more than the length of a side of square
UkoKoshka [18]
(8x+32)/4= 2x+8
2x+8=y+7 With y being the length of a side of square b
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8 0
4 years ago
Please help PLEASE<br> Which equations are equal to this equation? 14(8x + 56) = 20
TEA [102]

Answer:

x = - 191/28

Step-by-step explanation:

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3 0
3 years ago
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Write down and simplify all the terms in the expansion of (1+3x)6.Using your results to estimate the value of (0.97)6correct to
Keith_Richards [23]

Answer:

(a)\ (1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

(b)\ (1 + 3(-0.01))^6 = 0.8330

Step-by-step explanation:

Given

(1 + 3x)^6

Solving (a): Expand

To do this, we make use of pascal triangle

When the exponent is 6, the factors are: 1, 6, 15, 20, 15, 6 and 1

As a rule, the exponent of 1 will start from 0 and then increase by 1 in each term while the exponent of 3x will start from 6 and then decrease by 1 in each term.

So, we have:

(1 + 3x)^6 = 1 * 1^0 * (3x)^6 + 6 * 1^1 * (3x)^5 + 15 * 1^2 * (3x)^4 + 20 * 1^3 * (3x)^3 + 15 * 1^4 * (3x)^2 + 6 * 1^5 * (3x)^1 + 1 * 1^6 * (3x)^0

Expand

(1 + 3x)^6 = 1 * (3x)^6 + 6 *  (3x)^5 + 15  * (3x)^4 + 20 *  (3x)^3 + 15 *  (3x)^2 + 6  * (3x)^1 + 1 * (3x)^0

(1 + 3x)^6 = 1 * 728x^6 + 6 *  243x^5 + 15  * 81x^4 + 20 *  27x^3 + 15 *  9x^2 + 6  * 3x + 1

(1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

Solving (b): (0.97)^6

Rewrite as:

(0.97)^6 = (1 - 0.03)^6

Express -0.03 as 3 * -0.01

(0.97)^6 = (1 + 3(-0.01))^6

So, by comparing:

(1 + 3x)^6 and (1 + 3(-0.01))^6

x = -0.01

Recall that:

(1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

This gives:

(1 + 3(-0.01))^6 = 728(-0.01)^6 + 1458(-0.01)^5 + 1215(-0.01)^4 + 540(-0.01)^3 + 135(-0.01)^2 + 18(-0.01) + 1

Using a calculator

(1 + 3(-0.01))^6 = 0.000000000728 -0.0000001458+ 0.00001215  -0.00054  + 0.0135 -0.18 + 1

(1 + 3(-0.01))^6 = 0.83297200492

(1 + 3(-0.01))^6 = 0.8330 --- approximated

4 0
3 years ago
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