What is the value of the expression below?
1 3/4 divided by 1/2 minus (1 1/2)^3
Answers
Answer:
1/8
Step-by-step explanation:
Simplify the following:
(1 + 3/4)/(1/2) - (1/2 + 1)^3
Hint: | Write (1 + 3/4)/(1/2) as a single fraction.
Multiply the numerator of (1 + 3/4)/(1/2) by the reciprocal of the denominator. (1 + 3/4)/(1/2) = ((1 + 3/4)×2)/1:
(3/4 + 1) 2 - (1/2 + 1)^3
Hint: | Put the fractions in 1 + 1/2 over a common denominator.
Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:
(1 + 3/4) 2 - (2/2 + 1/2)^3
Hint: | Add the fractions over a common denominator to a single fraction.
2/2 + 1/2 = (2 + 1)/2:
(1 + 3/4) 2 - ((2 + 1)/2)^3
Hint: | Evaluate 2 + 1.
2 + 1 = 3:
(1 + 3/4) 2 - (3/2)^3
Hint: | Put the fractions in 1 + 3/4 over a common denominator.
Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:
4/4 + 3/4 2 - (3/2)^3
Hint: | Add the fractions over a common denominator to a single fraction.
4/4 + 3/4 = (4 + 3)/4:
(4 + 3)/4×2 - (3/2)^3
Hint: | Evaluate 4 + 3.
4 + 3 = 7:
7/4×2 - (3/2)^3
Hint: | Express 7/4×2 as a single fraction.
7/4×2 = (7×2)/4:
(7×2)/4 - (3/2)^3
Hint: | In (7×2)/4, divide 4 in the denominator by 2 in the numerator.
2/4 = 2/(2×2) = 1/2:
7/2 - (3/2)^3
Hint: | Simplify (3/2)^3 using the rule (p/q)^n = p^n/q^n.
(3/2)^3 = 3^3/2^3:
7/2 - 3^3/2^3
Hint: | In order to evaluate 3^3 express 3^3 as 3×3^2.
3^3 = 3×3^2:
7/2 - (3×3^2)/2^3
Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.
2^3 = 2×2^2:
7/2 - (3×3^2)/(2×2^2)
Hint: | Evaluate 2^2.
2^2 = 4:
7/2 - (3×3^2)/(2×4)
Hint: | Evaluate 3^2.
3^2 = 9:
7/2 - (3×9)/(2×4)
Hint: | Multiply 2 and 4 together.
2×4 = 8:
7/2 - (3×9)/8
Hint: | Multiply 3 and 9 together.
3×9 = 27:
7/2 - 27/8
Hint: | Put the fractions in 7/2 - 27/8 over a common denominator.
Put 7/2 - 27/8 over the common denominator 8. 7/2 - 27/8 = (4×7)/8 - 27/8:
(4×7)/8 - 27/8
Hint: | Multiply 4 and 7 together.
4×7 = 28:
28/8 - 27/8
Hint: | Subtract the fractions over a common denominator to a single fraction.
28/8 - 27/8 = (28 - 27)/8:
(28 - 27)/8
Hint: | Subtract 27 from 28.
| 2 | 8
- | 2 | 7
| 0 | 1:
Answer: 1/8
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first you will put a line in the missing part of the inside of the figure.Once you do you will see that there are two figures.
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Answers
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Step-by-step explanation:
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Let's find the speed of the second plane:
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15q – 4r = 62
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Answers
q= 6
r= 7
work--
Multiply 1st column by -2:
-30q+8r=-124
5q+8r=86
Subtract 2nd column from the first column:
-35q= -210
Solve for q:
q=6
Subtract q=6 by any of the two equations, so:
-30q+8r=-124
-30*6+8r=-124
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Answers
Answer:
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Step-by-step explanation:
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(divide everything by -5) y = 4/5x - 2
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The volume of this sphere is 972 pi cubic inches.
Now, We know that;
Volume of sphere is,
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⇒ 972 = 4/3 × 3.14 × r³
⇒ 972 × 3 = 12.56 × r³
⇒ r³ = 232.16
⇒ r = ∛232.16
⇒ r = 6.14 inches
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Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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0.80 and 1.30
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0.80, 1.05, 1.30, 1.55, 1.80, 2.05
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Answers
Answer:
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Step-by-step explanation:
Answer:
Answer is 98
Step-by-step explanation:
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Answers
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Step-by-step explanation:
- 9 f ( 1/3 f) + 2/3
Answers
Answer:
[tex] →- 9f( \frac{1}{3f}) + \frac{2}{3} \\= - 9( \frac{1}{3} ) + \frac{2}{3} \\=-\frac{9}{3}+\frac{2}{3} \\=\frac{(-9+2)}{3}\\=\boxed{\frac{-7}{3}}✓[/tex]
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Answers
Answer:
6. 60
7. 24.25
8. 28.00111604 or 28
Step-by-step explanation:
30 +90 =120 180-120=60
Sin A = a/c, so a = cSin A. Also Cos A = b/c, so b = cCos A so Sin30=14/c=28
Cos30=b/28 b=24.25
now 14^2+24.25^2=c^2 which gives 28.00111604 or 28
A rectangular dog pen has an area of 64xy square units. The width is 4y. Write an expression for the length.
Answers
Answer:
An expression for the length is:
[tex]l=16x[/tex]Step-by-step explanation:
Given
Area of a rectangular dog pen = A = 64xy square units
Width = w = 4y
To determine
The length = l = ?
We know that the area of a rectangular object is
A = l × w
where w is the width and l is the length of the rectangle.
substituting w = 4y and A = 64xy in the equation
[tex]A=l\times w[/tex]
[tex]64xy\:=l\times 4y\:[/tex]
[tex]\:\:l=\frac{64xy\:}{4y\:\:}[/tex]
Divide the numbers: 64/4 = 16
[tex]l=\frac{16xy}{y}[/tex]
Cancel the common factor: y
[tex]l=16x[/tex]
Therefore, an expression for the length is:
[tex]l=16x[/tex]