Mathematics High School

What is the value of the expression below?

1 3/4 divided by 1/2 minus (1 1/2)^3

What Is The Value Of The Expression Below?1 3/4 Divided By 1/2 Minus (1 1/2)^3

Answers

Answer 1

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

Which one of these is NOT equivalent to 2/3?
1. 11/23
2. 12/18
3. 14/21
4. 6/9

Answers

Number 1 is not equivalent to 2/3

Please help I will mark brain!

Answers

3 is the Anwser put number 3 in

If M, N, and O are midpoints of JKL, find LJ.

Answers

Answer:

the answer is 12

Step-by-step explanation:

edg 2021

The length of the side LJ of triangle ΔJKL can be obtained as 12 units. The correct option is (C).

What is a triangle?

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

As per the given question, O is the midpoint of LK.

Then, LO = OK.

The equation can be written as,

⇒ 2x = x + 8

⇒ x = 8

Then, NJ = 8 - 2 = 6

Since, N is also the midpoint of LJ.

LJ = 2 × NJ

⇒ LJ = 2 × 6 = 12.

Hence, the length of the side LJ can be found as 12 units.

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Anica volunteers to fold T-shirts she fold 8 T-shirts every 6 minutes how many t-shirts will anica make in 45 minutes

Answers

Answer:

I think 60

Step-by-step explanation:

I divided 45 by 6, and then multiplied that answer by 8. I hope this helps :) (Tell me if I am wrong)

The Answer Should Be 5 Minutes!

I Hope This Helps You!!!

anyone that's good at math please help <3

Answers

Answer:

i would try the first option,

Step-by-step explanation:

i'm not very good at math but i don't think the problem has exponents.

At this pace, how many miles can she run in 88 minutes?

Answers

Answer:

What is her pace?

Step-by-step explanation:

Find her pace, then do 88/p to find how many miles she can run.

If her pace is 11 minute/mile, then she can run 8 miles.

8*11=88

Match each equation to a step that will help solve the equation.
Eqautions: Numbers:
1) Multiply each side by 5.
2) Multiply each side by -5.
3) Multiply each side by 1/5.
4) Multiply each side by -1/5.
A) 5x= 0.4
B) x/5=8
C) 3 = -x/5
D) 7 = -5x

Answers

1 and B
2 and C
3 and A
4 and D
A) 5x = 0.4 — 3) Multiple by 1/5

B) x/5 = 8 — 1) Multiple by 5

C) 3 = -x/5 — 2) Multiple by -5

D) 7 = -5x — 4) Multiple by -1/5


Explanation:

A:
5x = 0.4

5x • 1/5 = 0.4 • 1/5

x = 2/25 or 0.08


B:
x/5 = 8

x/5 • 5 = 8 • 5

x = 40


C:
3 = -x/5

3 • -5 = -x/5 • -5

-15 = x

x = -15


D:
7 = -5x

7 • -1/5 = -5x • -1/5

-7/5 = x

x = -7/5 or -1.4

Hope it helps!

1) someone help easy math question

Answers

Answer is -9 it’s easy

Answer correctly
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0+0

Answers

*cough cough* umm 74

PLS HELP IM TIMED!!
PQRS is a square and measure of _P is 90°. What is the measure of _S?
- A) 45°
- B) 90°
- C) 180°
- D) 360°

Answers

Answer:

B. 90⁰

Step-by-step explanation:

Square is Equal

All sides are equal.

since P is 90⁰ and S is opposite of P,

S = 90⁰

the answer would be B) 90°

Calculate the area of the shape below.

Answers

Answer:

24ft²

Step-by-step explanation:

divide up the shape:

big triangle:

(looking for base)

9.8²= 4² + b²

b  = 8.95ft

(finding area)

0.5*8.95*4 = 17.9ft²

small triangle:

(looking for base)

12-8.95=3.05ft

(finding area)

0.5*3.05*4 = 6.1ft²

Whole Shape:

17.9+6.1 = 24ft²

Which point is on the graph of the equation y=2x-5?


(3,-1)

(2,-1)

(4,2)

(2,-5)​

Answers

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.

Answers

Answer:

First, we know that the area of a rectangle of width W and length L is:

A = W*L

In the case of Roberto's plan, we can see that the length of the whole rectangle is:

L = 1.5ft + x + 1.5ft = 3 ft + x

And the width is:

W = 3ft + x + 3ft = 6ft + x

Then the area of the whole thing is:

A = (3ft + x)*(6ft + x)

This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.

Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;

The total area of Roberto's borders is:

Area of the border =  (3ft + x)*(6ft + x) - x*x

                               =   3ft*6ft + 3ft*x + x*6ft + x^2 - x^2

                               = x*9ft + 18ft^2

You rent an apartment that costs $1400 per month during the first year, but the rent
is set to go up $180 per year. What would be the monthly rent during the 5th year of
living in the apartment?

Answers

180/12= 15
1400+15= 1415.00
The rent would be $1415.00 a month the 5th year.

The rent in the 5th year is $2120.

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. We can find the amount regularly increasing by using arithmetic.

As per the given data:

Cost of the apartment per month during the first year is given, also the increase in rent every year is given.

We have to find out the monthly rent during the 5th year of living in the apartment.

For finding out the monthly rent during the 5th year of living in the apartment:

Rent in first year + Increase in rent in each year × (5 - 1)

= 1400 + 180 × 4

= 1400 + 720

= $2120

The rent in the 5th year is $2120.

Hence, The rent in the 5th year is $2120.

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Tyrese wants to buy baseball cards. They cost $5.00 per pack. There is a 25% discount before tax if 10 or more packs are purchased. Sales tax is 7%. If Tyrese buys 15 packs of cards, how much does he pay?

Answers

Answer:

72.225 $

Step-by-step explanation:

The price per pack: 5.00 $

When the amount of packs is > 10 :

90 % * 5 $ = 4.50 $ before tax.

The price of 15 packs:

4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.

After tax:

107 % * 67.5 $  = 72.225 $ after tax.

Geometry pls help me

Answers

Answer: 180

Step-by-step explanation:

When added together, Interior angles of a triangle are always equal to 180 degrees.

Answer:

∠FHG=120°

Step-by-step explanation:

first you calculate the angles of the triangle NGH

this is isoceles triangle, so there's 2 equal angles

and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same

so both are 20°

any triangle has a sum of 180° of interior angles

so 180-(H+G)=the angle below N

180-(20+20)=140°

the angle below N is same as N because they're vertically opposite

140 is an exterior angle

and the exterior angle is equal to the 2 far angles

140=40+∠FHN

140-40=100°

so ∠FHN=100°

∠FHN+∠NHG=∠FHG

100+20=120°

so ∠FHG=120°

Please help!!! The function d= 16t2 models the distance d, in feet, that an object falls in t seconds.
Find the inverse function and use the inverse function to estimate the time it takes an
object to fall 100 feet.
The inverse function is t = d/4
The time the object falls is 5 seconds.
The inverse function is t = d/16
The time the object falls is 0.625 seconds.
The inverse function is t = d/4
The time the object falls is 2.5 seconds.
The inverse function is t = d/16
The time the object falls is 6.67 seconds.

Answers

Its the second one trust me my brother in highschool

Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements. The slope of AC is . The slope of EG is . The polygons are not dilations of each other because .

Answers

Answer: the slope of AC is 4

the slope of EG is 2

the polygons are not dilations of eachother because the corresponding sides are not parallel

Answer:

D, D, C

Step-by-step explanation:

A circle has a diameter of 5 ft. What is the circumference of the circle? Round to nearest hundreth

Answers

Answer:

15.70

Step-by-step explanation:

[tex]5 \times 3.14 = 15.70[/tex]

Answer:

[tex]15.71ft[/tex]

Step-by-step explanation:

C=2πr

d=2r

Solving for C

[tex]c = \pi \: d \: = \pi \: \: .5 \: = 15.70796[/tex]

Hope it helps you ..

The product of
two integers is – 24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?

Answers

Answer:

a= 12

b=-2

Step-by-step explanation:

12 x -2 = -24

12 - (-2) = 14

12 + (-2) = 10

The two integers are 12 and -2.

What are simultaneous equation?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let x and y be the two integers.

So it is given that,

Product of two integers =  – 24

⇒ xy = - 24   ....(i)

The difference between the two integers =  14

⇒ x - y = 14  ...(ii)

The sum of the two integers = 10

⇒ x + y = 10     ....(iii)

Now adding equation (ii) and (iii) we get,

2x = 24

⇒ x = 12

Putting the value of x in equation (i) we get,

12y = - 24

⇒ y = - 2

So the required integers are 12 and - 2.

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Mark goes to the gym every 5th day and he
goes hiking every 9 days. In how many days will
he go hiking and to the gym on the same day?
Explain your solution.

Answers

Answer:

i dont know sorry

Step-by-step explanation:

PLS HELP ME I SUCK AT MATH

Answers

I believe it’s 0.7 !

can yall plzz help me i feel supid

Answers

x = 12ft i would assume

27 to 32
What is the frequency between 27 to 32

Answers

Answer:

it has a frequency of 5

Step-by-step explanation:

is 36.81 more than 36 or it is close to 37 than 36?

Answers

Answer:

36.81 is more than 36 and it is closer to 37

Step-by-step explanation:

.81 is bigger than .5

Mia averages 16 goals for every 80 shots on goal. Abby averages 13 goals for every 52 shots.. Who has the greater goal rate?

Answers

Abby, 13 is closer to 52, than 16 per 80

Jade is making a square Birthday card for her Mom. She is going to put a ribbon border around each of its 4 equal sides. Her ribbon is 33 inches long and she will use all of the ribbon. How many inches of ribbon will Jade put on each equal side?​

Answers

It is 8 because what the question is asking you

Answer:

33 total inches ÷ 4 sides = 8.25 inches along each side

At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 

Y=

Answers

Answer:

y = 210,000(1.055)^t

Step-by-step explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t

please help mee!!! i will give u 5.0 starsss
Penny takes a taxi cab from the airport to her house. The distance is 4½ miles. The taxi costs $2.75 per mile. What is the cost of taking the taxi from the airport to her house? Round to the nearest cent.

Answers

Answer:

$12.38

Step-by-step explanation:

2.75 * 4.5 = 12.38

Answer:12.38

Step-by-step explanation:

Since the cost per mile is 2.75 even multiply that by the number of miles which would be 4.5 if you work that out it would get you 12.375 and you would round to 12.38 hope this helps.

Find the slope of the line passing through the points (-7,7)and (2,7)

Answers

Answer:

57

Step-by-step explanation:

23ewrfgdxdf

Answer:

0

Step-by-step explanation:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

[tex]\frac{7 - 7}{2 - -7} = \frac{0}{9} = 0[/tex]

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