Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:

Answers

Answer 1

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Step-by-step explanation:

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.

Their rates is calculated as:

For Lin

Lin read the first 54 pages from a 270-page book in the first 3 days.

54 pages = 3 days

270 pages = x

Cross Multiply

54x = 270 × 3

x = 270 × 3/54

x = 15 days

For Diego

Diego read the first 100 pages from a 320-page book in the first 4 days.

100 pages = 4 days

320 pages = x days

Cross Multiply

100x = 320 × 4

x = 320 × 4/100

x = 12.8 days

For Elena

Elena read the first 160 pages from a 480-page book in the first 5 days.

160 pages = 5 days

480 pages = x days

Cross Multiply

160x = 480 × 5

x = 480 × 5/160

x = 15 days

If they continue to read every day at these rates, who will finish first, second, and third?

Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time

Answer 2

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time


Related Questions

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Convert 6 4/5 into improper fractions.

32/6
32/5
33/5
36/5

Answers

Answer: 34/5

Step-by-step explanation:

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Plz help me answer this

Answers

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Substitute in y:                              -5x + 2(7x) = 9Multiply:                                         -5x + 14x = 9Combine like terms:                      9x = 9Isolate x:                                         x = 1

Step 3: Solve for y

Define original equation:                    y = 7xSubstitute in x:                                     y = 7(1)Multiply:                                                y = 7

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

What inequality sign would be used for the words, "no fewer than?"

Answers

Answer: The no fewer then sign would be <
Reason: let’s say that Alex wanted no fewer then 5 sheets of paper for a project. Alex can’t finish his assignment with only 4 sheets of paper. He can with 6, 7, 8, 9, etc. how we would label this is like this < 5 sheets. Think of the sign like a monster crocodile. It can eat as much as it can.

Write a linear equation in slope intercept form of a line with a slope of 12 and the point (0, 10).

y = 12x - 10

y = 12x + 10

y = 10x + 12

x = 10y - 12​

Answers

its y=mx+b so you will get b as the answer
It’s B, I used to do linear equations a lot in middle school and in 9th grade. Always remember (x,y), this will help you a lot. The point was (0,10) so ten is the y-intercept because it’s in the place of y so that means that’s where you’ll be starting at so you will add but if it’s negative you will subtract.

Calculate the composite surface area of the figure !!

Answers

hbu think i can get it done today tho i

How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?

Answers

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Will mark brainliest for whoever answers

Answers

Answer:

No

Step-by-step explanation:

You have to do it.

Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?

Answers

Answer:

my mom calls me I'll be back

Select two ratios that are equivalent to
what are ratios are equivalent to 2:9

Answers

Answer:

3,18    4,27

Step-by-step explanation:

Answer:

4:18 and 6:27

Step-by-step explanation:

Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.

2/9*2=4/18

2/9*3=3/27

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Answers

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

5.625

Step-by-step explanation:

helpppp i’ll give that crown thing

Answers

Answer:

N K Q

Step-by-step explanation:

A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.

Answers

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

Find the difference.

89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05

Answers

The answer your looking for is A. 36.95
Just calculate 89-52.05 into a calculator not that hard lol

The sum of three consecutive numbers is 84. What is the largest of these numbers? (5 points) a 28 b 26 c 29 d 27

Answers

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84         {Combine like terms}

x + x +x + 1  + 2 + 3 = 84

               3x + 6 = 84

                    3x = 84 - 6

                     3x = 78

                        x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

                           =29

Determine which set of numbers represent the lengths of the sides of a triangle.

A.
15, 12,9
B.
20, 10,9

C.
47, 21, 70
D.
12, 2.2, 14.3

will give brainliest!!

Answers

Answer:

I think its A

Step-by-step explanation:

Please mark brainliest

WHAT in the valuE of 3n=1 when n=4?

Answers

Answer: 4

Step-by-step explanation:

Hey there! [tex]\bold{3n=1; n =4}}[/tex][tex]\bold{If\ n=4\ then\ substitute\ where\ the\ n\ is\ at\ in\ your\ equation!}[/tex][tex]\bold{3(4)=1}}\\ \bold{3(4)=12}\\\bold{12\neq 1}}\\\\\\\boxed{\boxed{\bold{Answer: 12\neq 1}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day![tex]\frak{LoveYourselfFirst:)}[/tex]

Select the correct answer.
Which function is represented by the graph?

Answers

Answer: B

Step-by-step explanation:

ITS D

Step-by-step explanation:

factorize x^2+3x-ax-3a​

Answers

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

what is 0.34 round to the nearest tenth

Answers

Answer:

0.3

Step-by-step explanation:

We use the following rules to round 0.34 to the nearest tenth:

A) If the last digit in the fractional part of 0.34 is less than 5, then simply remove the last the digit of fractional part.

B) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.

C) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.

With 0.34, rule A applies and the answer is: 0.3

Answer:

0.3

Step-by-step explanation:

round down because its 4

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.​

Answers


Radius(r)= 25 cm = 25/100= 0.25 m
[1 cm = 1/100m]
Height (h)= 3.5 m
Curved surface area of Cylinder= 2πrh
= 2× (22/7) × 0.25 × 3.5
= 2× 22× 0.25 × 0.5
= 2× 0.5 ×22× 0.25
= 1 ×22× 0.25
= 5.5 m²
Curved surface area of 1 Cylindrical column= 5.5 m²
Curved surface area of 10 Cylindrical column= 5.5 × 10= 55 m²
Rate for painting 1 m² of the cylindrical column = ₹ 15.50
Cost of painting 10 cylindrical columns= 55 × 15.50 = ₹ 852.5.



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Answer:

215482.5

ep-by-step explanation:

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

what is the area of the figure below
A: 88in2
B: 48 in2
C: 68 in2
B:43in2

Answers

Answer:

The correct answer is C, 68in².

Answer:

68

Step-by-step explanation:

The are of the  square is 3*3 = 9

Since we have two squares we need to mulitply by 2

9*2 = 18 is the total area of the squares

if you draw a line from the one square to the other you make a rectangle in the middle

the are of the rectangle is 10*3 which is 30

Two triangle has appared as we draw the line from one square to the other square.

The height of the traingle is (7 - 3)/2 which is 2

(2*10) / 2 =  which is 10

Since we have 2 triangle we get result as 2*10 = 20

20+30+18 = 68

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo
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