Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?

Answers

Answer 1

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days


Related Questions

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help

Answers

Answer:

6 days

Step-by-step explanation:

The can relatively small... I would just say common sense.

hopefully this helps luv <3

Why is the average approaching 3.5?

Answers

Because since the mean of 1-6 is 3.5, it will eventually stabilize at that point.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

PLEASE NO LINKS thank you :)

Answers

Answer:

D

Step-by-step explanation:

please help i’ll give brainliest!!! thanks

Answers

i think lack of order

Answer:

Lack of order

Step-by-step explanation:

Please help me out plz

Answers

Answer:

RX is parallel to ST

Step-by-step explanation:

Answer:

Line RX and line ST are parallel to each other

Step-by-step explanation:

Find the measure of angle b. PLZ HELP AND SHOW WORK

Answers

Answer:

1) A because of vertical angle theorem (VAT), which means that b=37 degrees

2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees

3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees

4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees

5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees

Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.

Answers

Answer:

4 hours

Step-by-step explanation:

240 divided by 40

Answer:

4 hours

240 divided by 60

Step-by-step explanation:

Hope it helps

Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)

Answers

Answer:

(0, -4)

Step-by-step explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate  (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)

I’m so confused help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.

Please help ASAP

1.
Three times a number equals 40 more than five times the number what is the number


2.
A number equals four less than three times the number what is the number?

Answers

Answer:

Step-by-step explanation:

Which is the graph of f(x) = 2(3)x ?

Answers

Answer:

A

Step-by-step explanation:

the rest are inccorect

What is the probability of spinning an even number?

Answers

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

Pls help will mark brainliest

Answers

answers
a) 55
b) 8
c) 3

HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST

What is the distance between points (8,3) and (3, 1) on the coordinate plane?


OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units

Answers

Answer:

√29

Step-by-step explanation:

You would use the distance formula in this case to solve the problem:

(8-3)^2+(1-3)^2=29

Now square root 29, leaving you with √29.

Answer:

5.39

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3 - 8)² + (1 - 3)²

√(-5)² + (-2)²

√25 + 4

√29

= 5.39

Identify who is correct
Describe the mistake that was made

Answers

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

1. Which of the following is NOT true about a square?

The angles have a sum of 180°.

The diagonals are congruent.

The diagonals are
perpendicular.

The diagonals bisect each other.

Answers

Answer:

the angles have a sum of 180°

Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)

Answers

Answer:

-500 (I think)

Step-by-step explanation:

On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?

Answers

Answer:

7.8 miles.

Step-by-step explanation:

5.2 x 1.5 = 7.8

Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?

Answers

Everyone will have to play 21 games

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

https://brainly.com/question/8018593

help me please!!!! asap Tia​

Answers

Answer:

All of them should be marked sicne they are all less than 12.

Step-by-step explanation:

Answer:

m = 6, m = 1, m = 5, m = 7

Step-by-step explanation:

All the options are solutions of m < 12.

if ur good at graphs come here.

Answers

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is

Answers

Answer:

3/20

Step-by-step explanation:

Expand (2+x)(2-x). If necessaty combine like terms

Answers

Answer:

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2

Help how many questions did you answer correctly

Answers

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

answer:
18 questions

step-by-step explanation:
90% of 20 is 18
0.90 • 20 = 18

You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05

Answers

They are expected to win back on average 50 cents back, which is a bad investment.

please i need this anwser the teacher is gonna litterly murder me

Answers

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Find the Difference: 0.325-0.01

Answers

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

Which expressions represent rational numbers? Check all that apply.

Answers

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

i need help write expression in exponential from

Answers

3. 5x5x5. i am not sure if i am correct but i am assuming it is that.
Other Questions
Why can't weeds take over the world? In other words, what limits the growth of populations? Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.A. g is wider thanB. fand g open in the same directionC. fand g have the same vertexD. fand g have the same axis of symmetry what is writing and what are the types of writing PLEASE HELP!! NO LINKS!! The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help What is cos 30? 60 1 90 30 V3 O A. v3 O B. 1 O c. the shock absorbers in a car act as a big spring with k= 21900 N/m. when a 92.5 kg person gets in, how far does the spring stretch? LINK=REPORT(4^2)^3=A. 4^5B. 4^6C. 8^5D. 16^5(5^2)(5^3)=A. 5^5B. 5^6C. 10^5D. 25^5(3^4)(3^5)=A. 3^9B. 9^9C. 3^20D. 6^20Which is equivalent to 2^32^-5?A. 2^-15B. 2^-8C. 2^-2D. 2^2If you answer all four of them and they are right I will give brainliest! Solve for b.- 28 6b= 8 Why would an investor prefer purchasing bonds to purchasing stocks?A. Unlike stocks, bonds are guaranteed to return a profit to theinvestor.B. Bonds are typically less risky than stocks.O C. Unlike stocks, when an investor owns bonds, they own a tiny partof the companyD. Bonds are more likely than stocks to make huge profits. Help please I might fail Please help ASAP I will mark you as brainliest ajutatimaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadau coroana Please help i dont know what Im supposed to do!! What problems did the people of Germany have with the Weimar Republic? what is the mean of 3 6 11 7 4 In 3-5 sentences, explain one characteristic of a gothic theme present in The Strange Case of Dr. Jekyll and Mr. Hyde. Where was the ONLY place a runaway slave could be legally free and have rights and citizenship?Hurry! This is a test. Ill give brainliest!! Can someone please help me thxs. Can someone help me out my grads are bad