(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?

Answers

Answer 1

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer 2

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]


Related Questions

(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5

Answers

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

please help!!!!!! this is due soon

Answers

The last one is correct because the line is not going up or down it’s every where so it’s the last one

Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest

Answers

Answer:

slope = 20

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line

m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20

A car dealership offers two types of discounts.

Discount 1: Take 5% off the original price of a car built last year, and then receive a $3,500 rebate.

Discount 2: Take 10% off the original price of a car built this year, and then rece ve a $1,250 rebate.

A customer is deciding between two cars. Car R was bure ast year and has an original price of $25,340. Car 5 was built this vear and has an original price of 522.960. .

Based on this information, which statement is true?

F The customer would pay $19,524 for cars S.

G The customer would pay $24.078 For Cars R.

H The customer would pay $21,824 For Cars S.

J The customer wou d pay $23.10 O Car R.​

Answers

Question:

Based on the same question options as found an online resource, we have;

Statement

G. The customer would pay $24,073 for car R

Answer:

The true statement

G. The customer would pay $24,073 for car R

Step-by-step explanation:

Discounts are deductions from the original price of a commodity or service

A rebate is a partial refund after payment is made

The discount offered by the car dealership are;

Discount 1;

5% reduction off a car built last year's original price, + $3,500 rebate

Discount 2;

10% reduction off a car built this year's original price + $1,250 rebate

The year car R was built = Last year

The original price for car R = $25,340

Let 'A' represent the amount the customer would pay, let, 'p' represent the price of the car, let 'd' represent the discount offered, and let 'r' represent the rebate

Given that the payment is made before the rebate, we have;

The amount the customer will pay, A = p - (p×d)

Therefore;

The amount the customer would pay for car R = $25,340 - (0.05 × $25,340) = $24,073

The amount the customer would pay for car S = $22,960 - (0.1 × $22,960) = $20,644

Therefore, the true statement, is the customer would pay $24,073

Answer:

$24,073

Step-by-step explanation:

Which of the following rational numbers lies between 1/3 and 2/3?

Answers

Answer:  Choice B

24/48,  20/48,  18/48,  17/48

==========================================================

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

--------------------------

Choice B works because all the decimals shown below are between 0.333 and 0.667

24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)

Mr. Falk is going to replace the carpet in his basement. The basement is
rectangular with a length of 27 feet and a width of 18 feet. If the cost of the
carpet is $32 per square yard, what will be the total cost?*

Answers

Answer:  1728 dollars

==========================================================

Explanation:

1 yard = 3 feet

We'll divide by 3 to convert from feet to yards

27 feet = 27/3 = 9 yards18 feet = 18/3 = 6 yards

The basement is 9*6 = 54 square yards in floor area.

At $32 per square yard, the total cost to carpet the floor is 32*54 = 1728 dollars.

Which explains how the table can be used to predict the cost of any number of students attending the game?
A.The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B. The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C. The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D.The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.​

Answers

Answer:

The answer is B

Step-by-step explanation:

The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.

Matteo is following this recipe to make a cake.
He wants to make five of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder

Answers

He needs times 5 what he haves right now

A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?

Answers

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

Math screen shot photo

Answers

Answer:

30625

Step-by-step explanation:

Answer:

175²

Step-by-step explanation:

7 × 7 × 5 × 5 × 5 × 5

= (7 × 7) × (5 × 5 × 5 × 5)

= 7² × 5⁴

= 49 × 625

= 30.625

[tex] \sf = \sqrt{30.625} [/tex]

[tex] \sf = \sqrt{175 \times 175} [/tex]

[tex] \sf = 175[/tex]

[tex] \sf = {175}^{2} [/tex]

Conclusion:

Exponential Form of 7 × 7 × 5 × 5 × 5 × 5 adalah 175².

A boat spots a helicopter at an angle of elevation of 40 degree that is reporting a height of 900 feet above the water. How far is the horizontal distance from the boat to the helicopter?

Answers

Answer:

1072.58feet

Step-by-step explanation:

Given the following

Angle of elevation = 40degrees

Height of helicopter above the water = 900feet

Required

Horizontal distance H

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 40 = 900/H

H = 900/tan40

H = 900/0.8391

H = 1,072.58feet

Hence the horizontal distance from the boat to the helicopter is 1072.58feet

A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest possible volume

Answers

Answer:

[tex]x=6+3\sqrt{2}[/tex] is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = [tex]12 -2x[/tex], height of the box = x

Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]

Differentiating the above equation and equating it to zero, we get –  

d/dx [tex]((12-2x)^2 * x)[/tex]

d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]

d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]

[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]

On solving above equation, we get –  

[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]

Someone please help me out!!

Answers

Answer:

D 3/4

Step-by-step explanation:

imagine a circle with its center in point A and going through point C.

the radius of that circle is 50 (AC).

remember, tan of an angle is sin/cos of that angle.

now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.

now you see that 30 = sin(A)×radius = sin(A)×50

and 40 = cos(A)×radius = cos(A)×50

so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40

= 3/4

Austin’s monthly gross pay is $4,200. Federal withholding is 16.05% of his pay. His other deductions total $321.30. What is his net pay.

Answers

Answer:

$3,204.6

Step-by-step explanation:

$ 4,200              represents       100% of his salary

x amount  of $   represents      16.05 % in federal withholding

after you line up $ with $ and % with % think cross multiplication

x = 4,200* 16.05/ 100 = $674.1 is the amount in federal withholding

Net pay = 4,200 -674.1 -321.30 =  $3,204.6

Rahul has 5 BLUE BLOCKS, 3 PINK BLOCKS AND 4 GREEN BLOCKS. He wants to count the total number of blocks he is having. In how many ways he can find the answer? Form a mathematical expression to find the total number of blocks and identify the property used.

Answers

Answer:

a) He can find the answer in one way

b) We make use of Addition property of mathematics

c) Total number of blocks = 12 blocks

Step-by-step explanation:

a) He can find the answer in one way

b) We make used of addition property of mathematics

c) The total number of blocks he is having is calculated as:

Blue blocks + Pink blocks + Green blocks

Where

Blue blocks = 5

Pink blocks = 3

Green blocks = 4

Hence:

Total number of blocks = 5 + 3 + 4 = 12 block

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Answers

Answer:

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.

Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Step-by-step explanation:

Find all possible values for each expression.
tan-1 1

Answers

Answer:

45 and 225degrees

Step-by-step explanation:

Given the expression

tan⁻¹1

Using the calculator

tan⁻¹1

tan⁻¹1  = 45degrees

Since tan is positive in the third quadrant

theta=  180 + theta

theta = 180 + 45

theta = 225degrees

Hence the values of theta are 45 and 225degrees

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.

Answers

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

Isabel received a $90 gift card for a coffee store she used it in buying some coffee that cost $7.46 per pound after buying the coffee she had $67.62 left on her card how many pounds of coffee did she buy

Answers

Answer:

3 pounds

Step-by-step explanation:

Amount spent

90 - 67.62 = 22.38

coffee bought

22.38/7.46 = 3 pounds

Solve(100 points to right answer)If you get it wrong or type random stuff you will be reported

Answers

Answer:

24 ft

Step-by-step explanation:

Hypotenuse = √9²+16²=√81+256=√400=20ft

the upper side of the stuff = 4 ft

total = 20+4=24

Item 19 Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone

Answers

Answer:

0.75 hours

Step-by-step explanation:

Time taken by my pump = 6 hours

Time taken by friend's pump = x

Combined time = 1.5 hours

Rate :

my pump = 1/6

Combined rate = 1/1.5

Combinwd rate = 1/6 + 1/x

Hence :

1/6 + 1/x = 1/1.5

(x + 6) / 6x = 1.5

x + 6 = 9x

x - 9x = - 6

-8x = - 6

x = - 6 / - 8

x = 0.75 hours

Which of the following diagrams shows the numbers in the correct sets?

Answers

I don’t km
Now this problem

expand 5(8x - 3y) to its simplest form

Answers

Answer:

40x - 15y

Step-by-step explanation:

Multiply the brackets together

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

40x - 15y

Step-by-step explanation:

Use the distributive property:

5(8x) - 5(3y) =

40x - 15y

Please help!!! Giving brainliest and extra points!!!! (Click on the photo)

Answers

2,400 inches cubed, 10x20x12 =2400

Answer:

2400 inches cubed

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V=whl

------

So the formula is telling us to multiply the width, height, and length together. So in that case:

10 × 12 × 20 = 2400

------

Have a good day :)

32 + (-32) is an example of:

proportion
additive Inverse
absolute value
ratio

Answers

Answer:

Addituve Inverse

Step-by-step explanation:

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. 

Answer:

additive Inverse or absolute value

Step-by-step explanation:

A calculator costs $85 at staples if the calculator is 20% off how much do you pay?

Answers

Answer:

$ 17 off

Step-by-step explanation:

20% is one fifth of the price

So divide 85 by 5  you get 17

Since you only get one 1/5 of the price off you save $17

Just to check and make sure you can do 17 * 5 = 85

you should get $68 bc when you take 20% off of 100 you are paying 80% and that in a decimal is 0.8 so you multiply 85 by 0.8

Please help

No links as they don’t work

Will mark brainliest

Answers

I am not sure gfyfucgzigzifgxufifz

A water slides at a party of s 15 feet tall.The base of the water slide is 8 feet long.what is the length of the slide?

Answers

Answer:

It would be 17 feet.

Step-by-step explanation:

So to do this, there is a right triangle being made with the height of the water slide and its base (length). With this, the Pythagorean Theorem can be used to find the hypotenuse of these lengths by the equation:

a^2 + b^2 = c^2

So by plugging in the given legs of the triangle, the answer can be found.

15^2 + 8^2 = c^2

225 + 64 = c^2

289 = c^2

c = 17

A t-shirt is launched into the stands at a game. The equation h(x) = -16x2 + 48x + 6 models the relationship between time x and the height of the t-shirt h(x). List the calculation you must complete to find the answer to each question.
1. How high off the ground is the t-shirt launcher?
2. How high is the t-shirt after 1 second?
3. When does the t-shirt reach its maximum height?
4. What is the maximum height of the t-shirt?
5. When will the t-shirt reach the ground again if nobody catches it?

Answers

Answer:

1)  6 feet

2) 38 feet

3)  at 1.5 seconds

4) 42 feet

5) in 3.12 seconds

Step-by-step explanation:

LOOK AT PROVIDED IMAGES PLZ! Problem worth a lot of points if right!!

Answers

Answer:

add and subtract

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