Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)

Answers

Answer 1

Answer:

Jerry, Antonio, Jenny

Step-by-step explanation:

To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there

First, we can represent these as fractions:

Jenny:

four-fifths = 4/5

Antonio:

seven-eighths = 7/8

Jerry:

three-fourths = 3/4

Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3

4:

4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48

8:

8, 16, 24, 32, 40, 48, 56, 64

5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

One number that is in common is 40.

Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.

4:

40/4 = 10

8:

40/8 = 5

5:

40/5 = 8

Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.

3/4 * 10/10 = 30/40

7/8 * 5/5 = 35/40

4/5 * 8/8 = 32/40

We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle


Related Questions

factorize it h

[tex]4sin {2} \alpha - 5sin \alpha - 6[/tex]

Answers

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

Please help I don’t know what to do

Answers

Answer:

A is the answer

Answer:

the first one is the answer y = (x-2)^2 + 1

Step-by-step explanation:

The vertex form of a quadratic function is y = a(x – h)^2 + k, where a, h, and k are constants.  h and k are vertex.

vertex is (2,1) which is (h,k)

passes through (0,5)

Equation is  y = a( x - 2)^2 + 1 . now substituting (0,5) in for x and f(x),

5 = a ( 0 - 2) ^2 + 1 and solve for a.....

5 = 4a + 1

5-1 = 4a

4a = 4..........  a = 1

equation becomes y = 1(x-2)^2 + 1 or y= (x-2)^2 + 1

what is the arithmetic property of x+0*d=x

Answers

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

3 and (5 + 1 + 3)
What is the answer

Answers

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

f=2 and s=8 then s divided by [2f]

Answers

Answer: 2

Step-by-step explanation:

f=2

s=8

[tex](8)\div(2(2))\\8\div4\\2[/tex]

Answer:

2

Step-by-step explanation:

s/ (2f)

Let s = 8

and f = 2

8 / ( 2*2)

8/4

2

John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?

Answers

Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

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what do you call polygons with all sides same

Answers

Polygons with all same sides is an equilateral.

Define intersection of a line​

Answers

Answer:

perpendicular lines

Step-by-step explanation:

Two lines intersect when they cross each other. ... The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.

Answer:

When two or more lines cross each other in a plane, they are called intersecting lines.

Step-by-step explanation:

There are 1/3 pieces of pie left over on each
plate. How much pie is left over in total?

Answers

Answer:

3/3

Step-by-step explanation:

there are 3 plates and 1/3 on each plate is 3

1/3+1/3+1/3= 3/3

An entity can be divided in fractions or ratios. The total number of pie left over on N plates is [tex]\frac 13N[/tex]

Given that:

[tex]k = \frac13[/tex] --- the fraction left over

The total number of pie left over is

[tex]Total = \frac{1}{3} \times N[/tex]

Where N is the number of plates

So:

[tex]Total = \frac{1}{3} N[/tex]

For instance

If N is 6, the number of pie will be 2: i.e.

[tex]Total = \frac{1}{3} \times 6 = 2[/tex]

If N is 12, the number of pie will be 4: i.e.

[tex]Total = \frac{1}{3} \times 12 = 4[/tex]

Read more about fractions at:

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Please help will give brainly

Answers

Answer:

rational number

Step-by-step explanation:

it is being expressed in form of p/q

Simplify the power of i.
i78
A -1
B -i
C 1
D i

Answers

[tex]\\ \rm\longmapsto i^{78}[/tex]

Divide 78 by 4

[tex]\\ \rm\longmapsto \dfrac{78}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{39}{2}[/tex]

[tex]\\ \rm\longmapsto 19\dfrac{1}{2}[/tex]

Now

remainder is 2

[tex]\\ \rm\longmapsto i^2[/tex]

[tex]\\ \rm\longmapsto (\sqrt{-1})^2[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

Hence

[tex]\\ \rm\longmapsto i^{78}=-1[/tex]

∫[tex]\frac{x2}{9}[/tex]

Answers

9514 1404 393

Answer:

  (x^3)/27

Step-by-step explanation:

The power rule applies.

  ∫(x^n) = (x^(n+1))/(n+1)

__

  [tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?

Answers

Answer:

5.70

Step-by-step explanation:

Take the price per bag and multiply by the number of bags

.95 * 6 =5.70

You are a mechanic who is measuring the valve clearance on a motorcycle engine. The current clearance for one of the valves is 0.30 millimeter (mm). The clearance should be at least 0.18 mm and no more than 0.22 mm. The valve clearance is set by using a spacer that reduces the distance between the cam and the valve by the size of the spacer. Spacers are available in 0.04 mm increments, and the spacer currently in the motorcycle engine is 2.84 mm. Which of the following size spacers, in millimeters, should you use to achieve a correct valve clearance?

Answers

The 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.

What is the valve clearance of a motorcycle?

On motorcycle and automobile engines, valve clearances essentially refer to the gap or distance between the top of the valve stem and the camshaft that controls it.

The exhaust valves in an automobile engine release the burned gases, while the intake valves permit air and fuel into the cylinder.

Given that:

The current clearance = 0.3 mmThe clearance range is between = 0.18 mm - 0.22 mmThe available spacer = 0.04 mm incrementsThe current spacer is = 2.84 mm

The difference in between the current and clearance range is:

0.3 mm - 0.18 mm = 0.12 mm0.3 mm - 0.22 mm =0.08 mm

However, for clearance to be positioned within 0.18 mm - 0.22 mm. The required spacers to be used are 0.04 mm, and 0.08 mm in conjunction with:

Clearance 0.3 = 3.14Clearance 0.18 = 3.02Clearance 0.22 = 3.06

The mean value = 3.04

Therefore, for us to approach and get to the value of 3.02, the required spacers to be that must be added are:

2.84+0.04      2.882.84+0.08      2.922.84+0.12      2.962.84+0.16      3.002.84+0.2     3.04

Therefore, we can conclude that the 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.

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Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.

Answers

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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Use the rational exponent property to write an equivalent expression for

Answers

Step-by-step explanation:

the nth root can be written as exponent of 1/n.

so, we have here

[tex] {( {n}^{4} + 3) }^{ \frac{1}{5} } - 12[/tex]

Is the image an example of a ray?
B
A
Yes: AB has an endpoint and continues in one direction forever,
Yes: AB is one-dimensional.
No: AB continues forever in both directions.
No: AB has two endpoints.

Answers

It’s either Yes: AB has an endpoint and continues in one direction forever
Or
No: BA has two end points
Because if they had an arrow on each end that would mean they would go on forever but I doesn’t and I forgot what the two dots means sorry

Answer:

yes abis in 1 or more endpoint

Step-by-step explanation:

Keith earns $8.60 an hour and time-and-a-half for all hours over 40
hours. How much did he earn the week he worked 47.5 hours?
a. $344
b. $625.65
c. $109.65
d. $440.75

Answers

8.60 per hour x 40 hours = 344

Time and a half over 40 hours:

47.5-40 = 7.5 hours at time and a half:

7.5 x 8.60 x 1.5 = 96.75

Total pay : 344 + 96.75 = $440.75

Answer: d. $440.75

1/8+c=4/5 jus need to answer

Answers

1/8 + c = 4/5
c = 4/5 - 1/8
c = 32/40 - 5/40
c = 27/40

I give brainlist helPPPPPP

Answers

Answer:

Step-by-step explanation:

25.57, 123/5, 49/2, 241/10

Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.

Answers

look it up dum dum this app got me a f+ >:(

What is the y-intercept

Answers

Answer:

y-intercept is (0, 9)

Step-by-step explanation:

At y-intercept, x is 0

[tex]y = 9[/tex]

Answer: (0, 9)

Concept:

The y-intercept of a function is the point at which the graph of the function crosses the y-axis.

In other words, the y-intercept is the point when the x value is 0.

Solve:

Find the point where the x value is 0

It is the fourth from the left, where the x value is 0.

The y value is 9.

Finalize the point

x value is 0

y value is 9

Point = [tex]\boxed{(0, 9)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

solve for Y: Y=6b+12ab^2 a= 4, b=6

Answers

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

The inverse of the relation y = 9x – 4 can be obtained graphically by:

Answers

D) a reflection in the line y = x

The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.

What is the reflection of a line?

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.

The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.

Hence Option D is correct.

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A rectangular swimming pool with dimensions 12 meters by 18 meters is surrounded by a pavement of uniform width x meters. Find the area of the pavement, A, as a function of x.

Answers

9514 1404 393

Answer:

  A = 4x² +60x

Step-by-step explanation:

The area of walkway along each of the sides is the product of side length and walk width x. The total for the four sides is ...

  12x + 18x + 12x + 18x = 2x(12 +18) = 60x

There is a square of walkway at each corner whose dimensions are x by x, so the corner area is ...

  4·x²

Then the total walkway area is ...

  A = 4x² +60x

whats 40 euros to usd?

Answers

Answer:

47.06 United States Dollar

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

47.6 US Dollars

Hope it helpsThanks.

If AB = x +4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.

Answers

X+4+2x-10=2x+1
3x-6=2x+1
X-6=1
X=7


[tex]2^{4x + 14} = {64}^{x + 2} [/tex]
helpppppppppppppppp​

Answers

[tex]\\ \rm\longmapsto 2^{4x+4}=64^{x+2}[/tex]

[tex]\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}[/tex]

[tex]\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}[/tex]

[tex]\\ \rm\longmapsto 4x+4=6(x+2)[/tex]

[tex]\\ \rm\longmapsto 4x+4=6x+12[/tex]

[tex]\\ \rm\longmapsto 4-12=6x-4x[/tex]

[tex]\\ \rm\longmapsto -8=2x[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{-8}{2}[/tex]

[tex]\\ \rm\longmapsto x=-4[/tex]

Answer:

x = 1

Step-by-step explanation:

[tex] {2}^{4x + 14} = {64}^{x + 2} [/tex]

➡️ [tex] {2}^{4x + 14} = ( {2}^{6} {)}^{x + 2} [/tex]

➡️ [tex] {2}^{4x + 14} = {2}^{6x + 12} [/tex]

➡️ [tex]4x + 14 = 6x + 12[/tex]

➡️ [tex]14 - 12 = 6x - 4x[/tex]

➡️ [tex]2x = 2[/tex]

➡️ [tex]x = 1[/tex]

1. What is the equation of a line parallel to y = x + 2 that passes through (1, 2)?

Answers

Answer:

y=x+1

Step-by-step explanation:

if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1

a triangle has a vertices at R(1,1) S(-2,-4) and T(-3,-3). The triangle is transformed according to the rule

Answers

(-4,2) is your awnser
Yes (4,2) should be the answer
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