Roman can type 3 pages in 60 minutes. How many more pages can Roman type in 90 minutes than in 60 minutes? Assume the relationship is proportional and he types at a constant rate.

Answers

Answer 1

Answer:

Roman can type 1.5 more pages in 90 minutes than 60 minutes.

Step-by-step explanation

In 60 Roman can type 3 pages. Divide those numbers in half to find out how many pages he can type in 30 minutes. Add 30 minutes to 60 minutes and 3 pages to 4.5 to get 90 minutes.

Answer 2

Roman can write = 4.5 - 3 = 1.5 = 1 and a  [tex]$\frac{1}{2}[/tex]  page more in 90 minutes than in 60 minutes.

We have Roman who can type 3 pages in 60 minutes.

We have to find out how many more pages can Roman type in 90 minutes than in 60 minutes.

If you solve 5 questions of mathematics in 1 hour, then how many questions will you solve in 10 hours.

The number of questions you will solve will be = 5 x 10 = 50 questions.

According to the question, we have -

Number of pages typed by Roman in 60 minutes = 3

Therefore -

In 60 minutes → 3 Pages.

In 1 minute → 3/60 Pages.

In 90 minutes → [tex]\frac{3}{60} \times 90[/tex] = 4.5 pages = 4 and a  [tex]$\frac{1}{2}[/tex]  page.

Therefore, Roman can write = 4.5 - 3 = 1.5 = 1 and a  [tex]$\frac{1}{2}[/tex]  page more in 90 minutes than in 60 minutes.

Hence, Roman can write 1 and a  [tex]$\frac{1}{2}[/tex]  page more in 90 minutes than in 60 minutes.

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Related Questions

someone help me with this


(r^3-6rs+6s^2) - (3r^3+rs-4s^2)

Answers

Answer:

-2r³ - 7rs + 10s²

Step-by-step explanation:

Step 1: Write expression

(r³ - 6rs + 6s²) - (3r³ + rs - 4s²)

Step 2: Distribute negative

r³ - 6rs + 6s² - 3r³ - rs + 4s²

Step 3: Combine like terms

-2r³ - 7rs + 10s²

Using the quadratic formula, Show all work to solve 3x2 − 5x − 2 = 0.
I am stuck

Answers

Answer:

X= 4/5

Step-by-step explanation:

3*2-5x-2=0

step 1 : combine/multiply like terms

6 - 5x - 2 = 0

6-2 -5x=0

4-5x=0

step 2: "separate" the x from the "normal" numbers (what happens on one side of the equation happens to the other side)

4 - 5x = 0

-4         -4

-5x = -4

step 3: divide by the coefficient of X

-5x / -5 = /4 / -5

x= 4/5

Answer:

x = 5 + i  ,  5 - i

       6          6

Step-by-step explanation:

x = -b ±√b∧2-4ac

             2a

x = -(-5) + [tex]\sqrt{-5^2 - 4(3)(-2)}[/tex]

                 2(3)

= 5 + [tex]\sqrt{-1}[/tex]

       6

= 5 - [tex]\sqrt{-1}[/tex]

       6

hope this helps!

can you please tel, me what is step 3

Answers

answer below hope it helped

Write the repeating decimal 4.1363636… as a fraction.

Answers

Answer:4¹⁵/110

Step-by-step explanation:

Take x to be the number

X=4.13636363

Since the repeating numbers are 2 you multiply the number by 100

100x =413.636363

When we minus 413.6363 and 4.136363 we will get a decimal

We multiply the value for x by 1000 we get 4136.3636

And when we minus 4136.3636 by the values of 1x and 100x we will still get a decimal

We multiply the value of x by 10000 we will get 41363.6363 when we divide it by the values of 1x we will get a decimal but when we divide it by the value of 100x we will not get a decimal

Then we minus them

10000×-100×=9900x

41363.6363-413.6363=40950

9900x=40950

Divide both sides by 9900

9900x÷9900=40950÷9900

X=4¹⁵/110

Terrance kicks a soccer ball at his game. Solve the given equation to find the times, t, when the ball is kicked and when it lands back on the ground, in seconds.

-16t^2 + 40t =0

how many seconds is terrance’s ball in the air?
A. 1 second
B. 16 seconds
C. 4 seconds
D. 2.5 seconds

Answers

Answer:

2.5 seconds for plato

Step-by-step explanation:

2.5 seconds is Terrance’s ball in the air

What is an quadratic equation?

We define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = [tex]ax^{2} +bx+c[/tex], where a, b, and c are numbers and a cannot be 0.

Example of quadratic equation is y = [tex]x^2 + 3x + 1.[/tex]

Given quadratic equation

[tex]-16t^{2} +40t =0[/tex]

⇒ [tex]16t^{2} -40t=0[/tex]

⇒ [tex]8(2t^{2}-5t)=0[/tex]

⇒ [tex]2t^{2}-5t=0[/tex]

⇒ [tex]t(2t-5)=0[/tex]

⇒ [tex]t_{1} =0[/tex] and [tex]t_{2}=\frac{5}{2} =2.5[/tex]

T = [tex]t_{2}-t_{1} =2.5-0 = 2.5[/tex]

2.5 seconds is Terrance’s ball in the air

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3(x² + 3x - 10)
Simply the expression

Answers

Answer:

3[tex]x^{2}[/tex]+9x-30

Step-by-step explanation:

Multiply the three into each number

3[tex]x^{2}[/tex]+9x-30

Answer:

3x² + 9x - 30

Step-by-step explanation:

3 × x² = 3x²

3 × 3x = 9x

3 × -10 = -30

3x² + 9x - 30

Here is a five-sided polygon. Describe or show the strategy you would use to find its area. Mark up and label the diagram to show your reasoning so that it can be followed by others. (It is not necessary to actually calculate the area.)

Answers

Answer:

i can explai it to u if u wan to get the answer

Step-by-step explanation:

Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside

What is the slope of the line that passes through points (1,-19), (-2,7)

Answers

Slope formula: y2-y1/x2-x1

7- -19/ -2-1 = 26/-3 = -8.6

I’m doing this mentally right now so it may be wrong, but the formula and set up is right so you can just check in a calculator.

Hope this helps:)

how do you write this in number form five thousand, one hundred ninety-eight

Answers

Answer:

5198

Step-by-step explanation:

(Please help asap)

Pie charts are sometimes called pie graphs.

True or False?

Answers

Answer:

true

Step-by-step explanation:

Answer:

The answer is True

Step-by-step explanation:

2. SOLVE FOR B 0.75b = 2.5b - 26.25
O B = 26.25
O B =-1.75
O B = 13
O B = 15

Answers

The answer is D) B=15

on Monday, three hundred forty students went on a trip to the zoo. All eight buses were filled and four
students had to travel in cars. How many students were in each bus ?

Answers

Answer:

42.5

Step-by-step explanation:

divide it by 8.

Answer: 42

Step-by-step explanation: subtract the four from the students an divide 336 by 8 and the answer will be 42 because 8 x 4 is 32 and if you subtract that it will be 16 divided by 8 is 2

Which values are included in the solution set? Select all that apply.

A set of numbers satisfies Benford’s Law if the probability of a number starting with digit d is P(d) = log(d + 1) – log(d).

On a coordinate plane, a dotted line is at y = 0.08. Everything above the line is shaded and is labeled y greater-than 0.08. A dotted line curve goes through (0.5, 0.7) and (4, 0.1). Everything below the line is shaded and is labeled y greater-than log (x + 1) minus log x.

The probability of a particular digit is more than 8%. The graph represents the situation.

Which values are included in the solution set? Check all that apply.

0.5
1
2.5
3.5
4
5

Answers

Answer:

B and E

Step-by-step explanation:

i took the test

On understanding Benford's law, only 1 and 4 can be included in the solution set out of all the given values.

What is Benford's Law?

Benford's law (also called the first digit law) states that the leading digits in a collection of data sets are probably going to be small.

We need to check if the given values can be included in the solution set satisfying Benford's law.

The first digit of any number has to be whole number. Thus, 0.5, 2.5 and 3.5 cannot be included in this solution set.

Now, for 1, 4 and 5, we have to observe the graph. As visible, no value of 5 falls inside the shaded region. Thus, only 1 and 4 can be included in the solution set.

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for a car driving at a constant rate of 60 miles per hour, the table represents distance from a historical mile marker on the highway as a function of dribing time. which equation could be used to determine the driving time(s) when the car is 150 miles from the historical mile marker?​

Answers

Answer:

Option (4)

Step-by-step explanation:

If we plot the points given in the table attached,

We can get the graph of an absolute function with the line of symmetry as,

x = 4

Let the equation of the parent function (of the absolute function) is,

y = m|x| [Line of symmetry x = 0]

here m = speed of the car = 60 mph

so the equation will be in the form of y = 60|x|

Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.

So the equation of the transformed function will be,

y = 60|x - 4|

If the car is at 150 miles, equation to determine the driving time will be,

150 = 60|x - 4|

Option (4) will be the answer.

Which rule describes the composition of transformations that maps figure ABCDE to figure A”B”C”D”E”?

Answers

Answer:

C) RC',180° rm

Step-by-step explanation:

Answer: the last option is the correct answer

Step-by-step explanation:

solve x over 6 equals -8

Answers

Answer:

x= -48

Step-by-step explanation:

x/6=-8

x= -8*6

x= -48

Greetings! Hope this helps!

Answer

x = -48

Explanation

x/6                =           -8

x (times) 6                x6

x= -48

Have a good day!

_______________

A brainliest would help tons! :D

The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? Band Assignments Flute Clarinet Total 7th Grade 19 24 43 8th Grade 22 18 40 Total type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument

Answers

Answer:

D: grade number and type of instrument

Step-by-step explanation:

Answer:

D. Got it right on edgenuity test

Step-by-step explanation:

Have a good day!!

What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?

at 6 o’clock

Answers

Answer:

96 degress

Step-by-step explanation:

Because there are 60 minutes in an hour and 360 degrees in a circle, each minute is worth 6 degrees. From 6:00, the minute hand creates an angle of 96 degrees.

Answer:

The corrrect answer is 180 degrees

Step-by-step explanation:

It is 180 because the tiny hand and big hand form a straight line and half of a circle is 180. 180 is correct.

Slope of Y(-2,-1) and E (4,31)

Answers

Answer:

16/3 or 5.33333

Step-by-step explanation:

You will do [tex]\frac{y-y}{x-x}[/tex] make sure it is y2 - y1 and x2 - x1.  So lets plug in your numbers. 31 + 1/ 4 +2 = 32/6 = 16/3 simplified. I turned it to + because two - - equals a +.

which expression is equivalent to -8(6x-3)

Answers

Answer:

-48x+24

Step-by-step explanation:

Distribute

Answer:

-48x+24

Step-by-step explanation:

you have to distribute the -8 to the 6x and the -3.

x+6=x please help fast

Answers

[tex]\tt Step-by-step~explanation:[/tex]

If we were to solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

Let's subtract x from the left side of the equation and then do the same thing on the right side.

[tex]\tt x(-x)+6=x(-x)\\6[/tex]

The variable x got cancelled out, so there is no solution to this equation.

[tex]\large\boxed{\tt Our~final~answer: ~No ~solution}[/tex]

No solution since if u transfer the x on the right to the leftist would become negative and then you be left with the 6 so it would just be no solution

what is the answer to −36= -12y -48
−12y−48

Answers

Answer:

-2.5

Step-by-step explanation:

-36= -12y+(-48)+(-12y)+(-48)

-36= (-24y)+(-96)

+96             +96

60= -24y

divide 60 by -24y and you get -2.5

The supreme leader of Iran heads what type of government?
A. a democracy
B. a monarchy
C. a republic
D. a theocracy

Answers

Answer:

Iran's government is theocracy

Answer:

The answer is, D. Theocracy. I just took the test and got it correct. I'm so sorry for such a late response.. Have a good day, and I hope this helped someone out :]

What is the range median and mode for 8 7 12 7 11 10 7 12

Answers

Answer:

Range = 5, Median = 9, Mode = 7

Step-by-step explanation:

First, we put them in order from least to greatest.

So its 7, 7, 7, 8, 10, 11, 12, 12

The range is the largest number minus the smallest number, so 12-7=5. The range is 5.

The median is the number in the middle, so we cross off numbers from both sides. That leaves us with 8 and 10. The number between them is 9, so the median is 9. (the actual process to find the median if there's 2 numbers in the middle is by adding them together and dividing them by 2)

The mode is just which number appears the most often. So 7 is the mode.

An architect has a scale drawing of a back porch that has a length and a width of 36 x 75 feet. If the Architect’s drawing is 4 inches: 9 feet, what are the length and width of his drawing?

Answers

Answer:

p: (-4)2 > 0

q: An isosceles triangle has two congruent sides.

Step-by-step explanation:

The scale on a highway map is 5 cm: 50 km. Suppose you know that the actual distance between two towns is 240 km. On the map, the distance is 12 cm. Is the scale on the map correct? Explain. .​

Answers

Answer:

The scale on the map is incorrect.

Step-by-step explanation:

Consider the linear expression 3x -15
The coefficient in this expression is...... and the constant term is....

Answers

Answer:

In linear expresiion 3 is the coefficient

X will be the variable and -15 will be the constant term.

The coefficient in this expression is 3 and 15 is the constant term

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3x-5

Three times of x minus five.

x is the variable and minus is the operator.

A coefficient is an integer that is written along with a variable or it is multiplied by the variable.

3 is the coefficient.

A constant is a value or number that never changes in expression; it's constantly the same

15 is the coefficient of expression.

Hence, The coefficient in this expression is 3 and 15 is the constant term

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Given the midpoint and one of the endpaints, find the other endpoint of the segment (M is the midpoint) M(- 3, 7) and E(0, 2)

Answers

Sorry if this is wrong, but i’m pretty sure the answer is:

Answer: ( 10 , 17 )

Can somebody answer this asap I need it done in 10 minutes????

Answers

Answer:

Step-by-step explanation:

√9 and√16

the two numbers are 3 and 4

this means that √10 is located between 3 and 4 ( √10=3.16)

so √10 is 3.16

( unless there are different options , this is the answer)

Skeins of Yarn 4 8 14
Scarves 2 4 x

A knitter with 14 skeins of yarn can make
scarves.

Answers

Answer:

Step-by-it 14 hopes this help lol

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