Please show your work. Convert decimals into fractions in simplest form

Write each decimal as a fraction in simplest form., And explain how you got your answer

1, :0.5=
2: 0.7=
3.0.33=
4: 0.875= 5.

Mr Ravenhead's car averages 23.75 mile per gallon. Express this amount as a mixed number in simplest form. Explain how you got answer. ​

Answers

Answer 1

Answer:

1. 0.5 = 5/10 ÷ 5 = 1/2

2. 0.7 = 7/10

3. 0.33 = 33/100 ÷ 33 = 1/3

4. 0.875 = (875/1000) ÷ 125 = 7/8


Related Questions


A man buys furniture that has a list price of $255. He is allowed a discount of 12%
but must pay a sales tax of 3% on the cost. Which of the following is the amount he
actually pays for the furniture:
(A) $217.67
(B) $231.13 (C) $224.40 (D) $232.50 (E)
none of these.

Answers

Answer:

Option B. $231.13 is the correct answer.

Step-by-step explanation:

Given that

Listed price of furniture = P = $255

Discount = d = 12%

Sales tax = s = 3%

First of all, we have to find the discounted price by calculating the discount first

So,

[tex]Discount = 12\%\ of\ P\\= 0.12*255\\= 30.6[/tex]

Discounted Price:

[tex]= Listed\ Price - Discount\\= 255 - 30.6\\= 224.4[/tex]

The sales tax will be calculated on the discounted price

So,

[tex]Sales\ tax = 3\%\ of\ Discounted\ price\\= 0.03 * 224.4\\= 6.732[/tex]

Now,

[tex]Final\ price\ of\ furniture = Discounted\ price + Sales\ tax\\= 224.4 + 6.732\\=231.132[/tex]

He will actually pay $231.132 for the furniture.

Hence,

Option B. $231.13 is the correct answer.

Will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation?

The outer core has a higher temperature and more pressure than the inner core
The outer core has a lower temperature and lower pressure than the inner core
The inner core has a lower temperature and higher pressure than the outer core
The inner core has a higher temperature and lower pressure than the outer core

Answers

Answer:

Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation? The outer core has a higher temperature and more pressure than the inner core.

Step-by-step explanation:

Answer:

The outer core has a higher temperature and more pressure than the inner core

Step-by-step explanation:

The perimeter of a rectanglar field is 334 yards. If the widths the field is 78 yards, what is its length

Answers

Answer:

The length of rectangular field is 129 yards.

Step-by-step explanation:

Given that

Perimeter = P = 334 yards

Width = w = 78 yards

Length = l = ??

We will use the perimeter of the formula to find the length of rectangle.

The perimeter of a rectangle is given by:

[tex]P = 2(l+w)[/tex]

Putting the values of perimeter and width

[tex]334 = 2(l+38)\\334 = 2l+76\\334-76 = 2l+76-76\\258 = 2l\\\frac{2l}{2} = \frac{258}{2}\\l = 129[/tex]

Hence,

The length of rectangular field is 129 yards.

find the value of x of this question ​

Answers

Let's understand the concept:-Here angle B is 90° So [tex]\triangle ABC[/tex] and [tex]\triangle ABD [/tex] Are right angled triangle So we use Pythagoras thereon for solution

Required Answer:-First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]

Substitutethe values

[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]

[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]

[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]

BD=BC+CD

[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]

[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]

Now in [tex]\triangle ABD [/tex]

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]

Substitute the values

[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]

Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)​

Answers

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

12 + 4h - 8 + (-6h) +2 + 5h, I am having trouble simplifying this, please answer

Answers

Answer:

663 I thank

Step-by-step explanation:

12+240-8=232-360+2=362+300=663

5x60=300

6x60=360

240-8=232

4x60=240

At the store,Finlay bought 48 ounces of cand for $4.How many ounces could he buy for $1?​

Answers

Answer:

12

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

48÷4 = 12 ounces

Please answer this question (the photo attached)! I will give brainliest to the correct answer!

Answers

Hope this helpsss
Pls give me brainliest

The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to
time) when the height is 20 cm.
A. 36Pi
B. 108pi
C. 360pi
D. None of these

Answers

Answer:

108π cm^3/min

Step-by-step explanation:

At a time of t min, let the height be h cm

The volume of a cylinder;

V = π r^2 h

  = 36π h

differentiating both sides with respect to t;

dV/dt = 36π dh/dt

but dh/dt = 3 cm/min

dV/dt = 36π(3) = 108π cm^3/min

the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6 cm. Find the longer diagonal and the area.​

Answers

Correct answer:
15

Explanation:
This problem can be solved by applying the area formula:



Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.

Thus the solution is:

60=8×diagonalB2

60×2=8×diagonalB

120=8(diagonalB)

diagonalB=1208=15

Write the equation of a line PERPENDICULAR to y = 4x + 3 that passes through the point (4, 1)

Answers

Answer:

y = 1/4x

Step-by-step explanation:

The slope changes from 4 to 1/4

so,

y = 1/4x + b

Then, plug in (4,1) into the equation

1 = 1/4(4) + b

1 = 1 + b

b = 0

y = 1/4x + 0

y = 1/4x

Hypotenuse a =?; b =40; c=50

Answers

a² = b² + c²

a² = 40² + 50²

a² = 1600 + 2500

a² = 4100

a = √4100

a = 64.03

-5x+6y=2 . What is the slope of the line ?

Answers

Answer:

The slope is m=5/6 .

Thanks for the help pls

Answers

Provide more information please

Help please! I’ll give brainliest!

Answers

Answer:

Corresponding

congruent interior

equation 9x+8=4x+18

angle measure 26

Explanation:

9x+8=4x+18

-4x   = -4x

5x+8=18

-8    = -8

5x=10

x=10/5

x=2

---

so... now plug in 9(2)+8 = 18+8=26degrees

to confirm the angle should be the same for the next one

4x+18=26

solve for x

26-18=4x

8=4x

8/4=x

2=x

If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.

A= _______ cm2

Answers

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

What is the value of x in the equation 3x-15=-18

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 15 = -18

Add 15 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Answer:

X=-1

Step-by-step explanation:

3x-15=-18

    +15  +15

3x=-3

x=-1

The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torchThe pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch

Answers

Answer:

: The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torch The pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch

Step-by-step explanation:

PLEASE HELP! WILL GIVE BRAINLIEST!

1. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.

2. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on soda? fill in the blank with the numerical answer only. the family spent $_______ on soda.

3. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend in all? fill in the blank with the numerical answer only. the family spent $_______ in all.

Answers

Answer:

Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.

The family spent 300$ on pizza

Answer:

Answer

Step-by-step explanation:

for pizza: $300.00

for soda: $43.20

In all: 343.20

Evalulate 7 3/4+(-2 1/5) x for x =-10

Answers

Answer:

2884

Step-by-step explanation:

First plug in -10 for x, which would look like this: 734 + (-215 * (-10) ) =

Then, first you calculate everything in the parenthesis, which is (-215) * (-10)

and the equation would look like this after you multiply: 734 + 2150 =

If you noticed the number turned out positive after we multiplied, that is because - number times a - number would always be positive, just like if you divide - number by a - number your answer would be positive.

Your last step would be adding 734 with 2150. : 734 + 2150 = 2884

+ 734

2150

_____

2884

And the answer would be 2884

Evaluate bcx, if b = -5, c = -3, and x = -1.

Answers

Answer:

-15

Step-by-step explanation:

-5 x -3 x -1

15(you cancell out the negitive)

15 x -1

-15

Step-by-step explanation:

=bcx

= -5(-3)-1

= -5(-4)

= -9 ans

hope it help u.

Make a fraction become a decimal
1. 55/300
2. 1 1/2
3.5/9
4. 2 3/4
5. 9/11
6. 4 1/9

Answers

Answer:

1. 0.18333333333

2.  1.5

3. 0.55555556

4. 2.75

5. 0.81818181818

6. 4.1111111111

Have a nice day, brainliest Please? :)

Write an equation of the line that passes through a pair of points (2,3),(4,-2)

Answers

Answer:

y=-5/2x+13

Step-by-step explanation:

m=(-2)-3/4-2

m=-5/2

y-y=m(x-x1)

y-3=-5/2(x-2)

y-3=-5/2x+10

+3 +3

y=-5/2x+13

Find the value of 2y if 2x - y = 5 and
x + y = 4.​

Answers

Answer:

the value of 2y would be 2

Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5

Please solve for K.......

Answers

Answer:

k=140

Step-by-step explanation:

64+76=140

180-140=40

180-40=140

k=140

K=140
Answer sorry i didn’t put explanation

PLEASSSSEEE SOMEONEE HELPPP ILL DO ANYTHING

Answers

Answer:

[tex]m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 1)

Point (4, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{4-0}[/tex]Subtract:                       [tex]m=\frac{1}{4}[/tex]

PLS HELP ME I ADDED SCREENSHOT i made sure to add it this time

Answers

Answer:

-(400/9)

Step-by-step explanation:

-44(4/9)

answer A

The three graphs represent the types of solutions that are possible for a system of equations. Which graph represents a system of equations with no solution? On a coordinate plane, 2 lines have a positive slope. On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines have a positive slope.

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

The answer is B.) The second graph

Step-by-step explanation:

I just did he instruction on edge and got it right

Cassie bought a new sweater

Answers

Answer:

Ok, sup

Step-by-step explanation:

the floor of a shed has an area of 77 square feet the floor is in the shape of a rectangle whose lenght is 3 ft. less than twice the width find the lenght and the width of the floor of the shed use formula area= lenght *width the width of thee floor of the shed is how many feet ft.

Answers

Answer:

x=40

Step-by-step explanation:

2−3=77

2−3+3=77+3

2=77+3

2x=80

2x/2=80/2

x=80/2

x=40

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