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
Related Questions
Write the other side of this equation so that this equation
is true for ALL values of u.
6(u-2)+2 =
Answers
Answer: 6(u-2)+2=6u-10
Step-by-step explanation:
Then, any value of u makes the equation true.
The other side of this equation 6 (u-2) + 2 is 6u - 10 and is true for all values of u.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
6 (u-2) + 2
Simplify the above expression as shown below,
6 × u - 6 × 2 + 2 (Use distributive property)
6u - 12 + 2 (Add constant terms)
6u - 10
Thus, 6 (u-2) + 2 = 6u - 10
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
NO SCAMMING (The goalie on the Ice blades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Ice blades are ahead by one goal, and they will win if the other team does not score.
The other team takes 5 shots in the final 10 minutes. The Ice blades do not score any more goals.)
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answers
Answer:
B
Step-by-step explanation:
Which measure is of an angle that is coterminal with a 95° angle?
Answers
Answer:
95° - (1,080 n) °, for any integer n
Step-by-step explanation:
Co-terminal angle are those angles who share the same initial side and terminal sides,
And, these angles are obtained by adding or subtracting the multiple of 360°,
That is, if Ф is an angle,
Then its co-terminal angles are,
Ф + 360 n
Where, n is any integer (negative or positive)
Here, Ф = 95°,
Since, n is an integer,
⇒ - 3n is an integer,
Thus, the co-terminal angles of 95° are,
95° + 360° (-3n)
= 95° - (1080 n) °; for any integer n.
Step-by-step explanation:
Hope this helps!~
And I hope this is what you where looking for.
Good Luck!~
Answer:
B. 95° – (1,080n)°, for any integer n
Step-by-step explanation:
Correct on EDGE 2021!
CAN ANYONE HELP ME ASAP with this math thing? :D
Answers
Answer:
Step-by-step explanation:
slope intercept form is y=mx+b
(-1/2)x +y= 10; add to both sides (-1/2)x
y= (1/2)x +10
Of the numbers 5, 6, or 7, which is a solution of the inequality y + 4 < 10?
Answers
[tex] \begin{cases}5 \in y \\ 6 \in y \\ 7 \in y \end{cases}[/tex]
Solve the Inequality.[tex]y + 4 < 10 \\ y < 10 - 4 \\ y < 6[/tex]
Therefore, the value of y is lesser than 6. That meane it can't be y = 6 or greater. Hence, 5 is the solution to the Inequality.
Answery = 5 is the solution to the Inequality.
But if you want to solve for Inequality only then it is y < 6
Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?
Answers
3% of 18,000 is
0.03 * 18,000 = $540
Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 18, 10, 20, 18, 12, 19,12, 11 find the mean and median number of movies that the students saw
Answers
Answer:
I. Mean = 15
II. Median = 15
Step-by-step explanation:
Given the following data;
Total number of students = 8
x = 18, 10, 20, 18, 12, 19,12, 11
F(x) = 18 + 10 + 20 + 18 + 12 + 19 + 12 + 11
F(x) = 120
To find the mean;
Mean = F(x)/n
Mean = 120/8
Mean = 15
To find the median;
Median refers to the middle number of a sorted data.
x = 10, 11, 12, 12, 18, 18, 19, 20
Middle numbers = 12 and 18
Median = (12 + 18)/2
Median = 30/2
Median = 15
Which of the following is a linear factor of x6 + 4x3 - 17x+12?
x-1
X+1
2 X+3
2X-1
Answers
Step-by-step explanation:
(x - 1 ) option A is the correct answer of this question.
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help me with this problem please!!!! :)
Answers
Answer:
this should do it
(PLEASE HELP FAST)
Three loafs of bread require 4 1/3 cups of flour. How much flour is needed for 2 loafs of bread?
Answers
Answer:
2 1/6
Step-by-step explanation:
4 1/3 divided by 2 =
13/3 x 1/2 = 13/6 = 2 1/6
hope this helped
Answer:
2 8/9 cups of flour
Step-by-step explanation:
13/3 = flour needed for 3 loaves of bread
13/3 divided by 3 should get you the unit rate
13/3 * 1/3 = 13/9
13/9 is the unit rate. Then, you can multiply by 2
26/9 or 2 8/9 cups of flour
There are 10 girls and 5 boys in a classroom. Of
these students, 6 girls and 3 boys are wearing pink
What percentage of the students are wearing
pink?
Answers
Answer:
60%
Step-by-step explanation:
If there's 9 people wearing pink out of 15 then your answers 60%
r + 4s = -8
3r + 2s = 6
Answers
Answer:
R = 4
s = -3
Step-by-step explanation:
r + 4s = -8
3r + 2s = 6
there are several ways to solve this system but i chose the elimination method and multiplied the second equation by -2 to get:
-6r - 4s = -12 and added it to the first equation
+ 1r + 4s = -8
-5r = -20
r = 4
plug in to find 's': 4 + 4s = -8
4s = -12
s = -3
What is the answer for "The points (4,r) and (8,-11) lie on a line with slope -3. Find the missing coordinate r."?
Answers
Answer:
r = 1Step-by-step explanation:
Use the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = -3, x₁ = 4, y₁ = r, x₂ = 8, y₂ = -11Substitute values and solve for r:
-3 = (-11 - r)/(8 - 4)-3 = -(11 + r)/411 + r = 12r = 12 - 11r = 1Answer:
The answer to your question is R=1
Which equation represents the graphed line?
y
6
4
NO
O
2
4
6
A. y - 1 = -2(x - 3)
O
B. y - 1 = -2(x + 3)
C. y + 1 = -2(x - 3)
O D. y + 1 = -2(x + 3)
Answers
Answer:
D
Step-by-step explanation:
Which of the following quantities are to the left of zero on a number line? Select three that apply.
A The opposite of 7
B The opposite of -9
С
3
D
-4
m
Answers
Answer:
A, D, and E
Step-by-step explanation:
because they are negative
Please help me guys I will give the first person who answer a Brilliant
Answers
Answer:
2 3/4+(2 3/4 / 2)=t
Step-by-step explanation:
IM sure this is right
Round 543,539 to the nearest hundred thousand
Answers
Answer:
500,000
Step-by-step explanation:
The nearest hundred thousand is the first 5
In rounding when something is 4 or lower it becomes a zero and if it is 5 or higher it is goes up to the next number for example if it is rounded to the nearest ten, and the number is 338, it would be 340
3y+4x=3 x+3y=-6 solution
Answers
Step-by-step explanation:
https://photomath.net/s/D904j6
here is your answer mate
My question is: 1x - 47y = 310
Answers
Answer:
x-intercept(s):
(
310
,
0
)
y-intercept(s):
(
0
,
−
310
47
)
Step-by-step explanation:
If the RADIUS of a circle is 9 meters, then the DIAMETER is? *
25 points
4.5 meters
12 meters
18 meters
27 meters
Answers
Can someone help me on thissss
Answers
Answer:
100% is 9, 55% is 4.95, 75% is 6.75.
Step-by-step explanation:
Suppose that 100% were [tex]x[/tex]. Then 30% is 27, so [tex]0.3x=27[/tex] and we can divide both sides by 0.3 to see that [tex]x=\frac{27}{0.3}=\frac{27}{\frac{3}{10}} = \frac{27\cdot 10}{3} = 90.[/tex] So 55% is [tex]0.55x = 0.55 \cdot 9 = 4.95[/tex] and 75% is [tex]0.75x = 0.75\cdot 9=6.75[/tex]. (Note that we can divide the value of a percentage by 100 - the same as moving the comma by two places to the left - to get the decimal value.)
A cell phone is originally priced at $120. The online retailer gives a discount and the cell phone is now priced at $90. Enter the percentage discount for the cost of the cell phone.
Answers
Answer:
25% discount
Step-by-step explanation:
What standard form polynomial expression represents the perimeter of this quadrilateral
Answers
Answer:
5x³ + 6x² + 0x - 8 <== answer
Step-by-step explanation:
There is no picture, but i did that homework before.
What is the value of r in this equation? 3 + r = 12
Answers
Answer:
9
Step-by-step explanation: subtract 3 from 12 and you get 9 as your answer
Can you explain how you got the answer too because I don’t understand
Answers
Answer:
60
Step-by-step explanation:
The whole thing is 180 so if you subtract 180 from 120 you get 60.
Answer:
60 degrees since a straight line is 180 degrees
Step-by-step explanation:
Since part of it is 120 degrees the other part must be 60 because 120 + 60 = 180
Please solve for x. Then, circle whether each angle pair is complementary or supplementary.
Answers
Answer:
This is complematry and x=7
Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle
8+5=13
90-13=77
3x+8x=11x
77 divided by 11x =7x
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Each day,Faye earns $137 for driving a bus. How much will she earn if she works for 26 days?
Answers
Answer:
$3,562
Step-by-step explanation:
Assuming that Faye is paid $137 daily then she would earn $3,562.
$137x26= $ 3,562
15+2w = 5w+5 solve for w
Answers
Answer:
10/3
Step-by-step explanation:
15+2w=5w+5
15=5w-2w+5
15=3w+5
3w=15-5
3w=10
w=10/3
Answer:
10/3=w
Step-by-step explanation:
15+2w = 5w+5
15=3w+5
10=3w
10/3=w
anyone think they could help me with this ???
Answers
Answer:
12°
Step-by-step explanation:
As we can see the triangles are congruent so
< F = < C ( being corresponding angles of congruent triangle)
< C = 29
Now
<A +<B + <C = 180° { being sum of angles of triangle }
5x + 1 + 90 + 29 = 180°
5x = 180° - 120°
5x = 60°
x = 12°
Please help!! Algebra 2
Find f(2) if f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21 F(2)=
Answers
5(2)^5-3(2)^4-17(2)^3-4(2)^2+10(2)+21
do the exponents
5(32)-3(16)-17(8)-4(4)+10(2)+21
simplify
160-48-136-16+20+21
1
f(2)=1
Answer: f(2)=1
Step-by-step explanation:
This is a function-related problem. In order to solve f(2), you need to substitute the value into the original function.
-----------------------------------------------------------------------------------------
f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21
f(2)=5(2)⁵-3(2)⁴- 17(2)³-4(2)²+10(2)+21
f(2)=160-48-136-16+20+21
f(2)=1
Hope this helps!!
Please let me know if you have any questions