Amy had to solve 26 problems. After 3.6 hours, she had 8 problems left to solve. If she solved the same number of problems each hour, how many more hours does she need to work in order to complete the remaining problems?

Answers

Answer 1

26-8 = 18

She answered 18 questions in 3.6 hours.

18 problems/ 3.6 hours = 5 problems per hour.

8 problems / 5 problems per hour = 1.6 hours more are needed.


Related Questions

What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?

-3
-4/5
4/5
3

Answers

Answer:

4 Over 5  (4/5)

Step-by-step explanation:

we have

[tex]y=\frac{4}{5}x-3[/tex]

This is the equation of a line in slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=\frac{4}{5}[/tex]

[tex]b=-3[/tex]

therefore

The slope is [tex]\frac{4}{5}[/tex]

The slope of the given line is equivalent to 4/5.

Determining the slope of a line

The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slope

b is the y-intercept

Given the equation of a line y = 4/5x. - 3, we are to determine its slope

In this case, the coefficient of x is (4/5), which represents the slope of the line.

m = 4/5

Therefore, the slope of the line is 4/5.

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if you flip a coin and roll a 6 sided die, what is the probability that you will flip a tails and roll 2

Answers

Answer:

1/12.

Step-by-step explanation:

6 sides and 2 sides. 2 possible outcomes for each side of the dice

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The combinations:

heads and 1, heads and 2, heads and 3, heads and 4, heads and 5, heads and 6, tails and 1, tails and 2, tails and 3, tails and 4, tails and 5, tails and 6

There are 12 combinations (count if you don't believe me). An easy way to find this is by multiplying the number of things you can get from the coin (2)and the number of things you can get from the die (6).There is only one combination where you can get tails and roll 2, so the probability will be [tex]\frac{1}{12}[/tex]

During a power outage, Mason burns candles for light. Each candle was initially 12 inches long. He wants to know how long they will last. The candles burn at a constant rate, and Mason measures them twice and records their height each time in the

Answers

Generally, smaller candles such as votives with smaller wicks will burn at a rate of 7-9 hours per ounce of wax used. For example, a two ounce votive may be expected to burn for 14-18 hours. Larger candles with larger wicks will consume wax at a faster rate.

Lewis was driving at 90 km per hour when he sneezed.
During the sneeze, his eyes were closed for half a second.
Work out how many metres he travelled in this time.​

Answers

Answer:

12.5 m

Step-by-step explanation:

recall that 1 km = 1000 m

hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr

also recall that 1 hour = 60 x 60 = 3600 s

hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.

given that is eyes were closed for 0.5 s.

in 0.5s, he travelled :

0.5s x 25 m/s = 12.5 m

Please help! Correct answers only please!

You flip a coin twice.

What is the probability of getting heads and then getting heads?

Write your answer as a percentage.

Answers

Answer:

25%

Step-by-step explanation:

The chance of getting a heads each time is 1/2. Since they are both independent events, you can multiply them together to get a total probability of 1/4 or 25%. Hope this helps!

Ed is constructing the perpendicular bisector of a segment on his paper. He just finished

labeling the points of intersection of the two arcs that he drew. What is his next step?

Answers

Answer:

The next step is to draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

The line drawn in the above step, from the two labelled points is the perpendicular bisector of the segment

Step-by-step explanation:

To draw a perpendicular bisector of a segment, we have;

1. Ensure the compass is opened to more than half of the length of the segment to be bisected

2. Draw arcs of the same radius with center at the ends of the line to be bisected

3. Label the points where the arcs drawn from both ends cross each other on opposite sides of the line

4. Draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

5. The line so drawn from the two labelled points is the perpendicular bisector of the segment.

Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year.
Work out the value of her investment after two years.

Answers

Answer:

£12,362.70

Step-by-step explanation:

I used the compound interest formula to work this out.

£12,000 (original amount) x 1.015²

1.015 = 1.5% --- squared because the investment was 2 years.

Hope this helps :D

solve for a side in right triangles

Answers

Answer:

4.28

Step-by-step explanation:

What is the value of X in the figure?

Answers

Both angles are vertically opposite

Vertically opposite angles are equal to each other

8x+2=154

Move two to the other side as a negative

8x= 152

Divide both sides by eight to get the value of x

x is equal to 19

anyone watching or watched Avatar The Last Airbender? or The Legend of Korra? If you haven't I highly suggest you watch it on Netflix

Answers

Answer:

no ive never seen is it a cartoon

Step-by-step explanation:

Answer:

Yes I have seen it i reccomend it to

Put these in order of size from smallest to largest: 7/4 , 74% , 7.4 , 4/7 , 70.4

Answers

4/7, 7/4, 74%, 7.4, 70.4

Ashley said 3/4 of her stuffed animals have buttons eyes. Pam said Ashley has 15 stuffed animals. is it possible that Pam is correct? Please explain.

Answers

Answer: No it is not possible

3/4 has a denominator of 4, which is not a factor of 15. This means that there is a contradiction somewhere. Note how (3/4)*15 = 11.25 is not a whole number. So if Ashley did have 15 stuffed animals, then 3/4 of that wouldn't be a whole number and it would contradict what Ashley is stating. The same can be said in reverse: if Ashley's statement is correct, then there's no way Pam is correct as well.

In a certain Algebra 2 class of 28 students, 21 of them play basketball and 8 of them
play baseball. There are 2 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

P(basketball and baseball)= 3/28

It helps if you make a two way table, but I cant do that on here

What is the factored form of this expression? x2 − 12x + 36

A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)(x − 3)

Answers

Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

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what is the answer for this in square root form

Answers

Answer:

x =  ± sqrt(-49)

or x =  ± 7i

Step-by-step explanation:

x^2 +49 = 0

Subtract 49 from each side

x^2 +49 -49 = 0-49

x^2 = -49

Take the square root of each side

sqrt(x^2) = ± sqrt(-49)

x =  ± sqrt(-49)

We have to complex numbers to solve

x = ± sqrt(-1) sqrt(49)

sqrt(-1) = i

x =  ±i *7

x =  ± 7i

Which store is offering the greater discount?
A.
Store B is offering the greater discount.

B.
Store A and store B are offering the same discount.

C.
There is not enough information to determine the amount of the discount.

D.
Store A is offering the greater discount.

Answers

Answer:

A

Step-by-step explanation:

y = 4x - 3
y= 2x + 13​

Answers

Answer:

x = 9, y = 29 or (8,29)

Step-by-step explanation:

Set the equations equal to each other because they both equal y:

4x - 3 = 2x + 13

Combine like terms:

2x = 16

Divide by 2:

x = 8

Plug 8 into the x for both equations and see if the y is the same:

y = 4(8) - 3 = 32 - 3 = 29

y = 2(8) + 13 = 16 + 13 = 29

Ricky bought beans and yams for $6.35. He paid $3.15 for all the beans and
$0.40 for each yam. How many yams did he buy?

Answers

Answer:

8

Step-by-step explanation:

6.35- 3.15 is 3.20.

3.20÷.40=8

hope this helps :)

Xavier, Thomas, and Mei had 650 marbles. Thomas had 3 times as many marbles as Mei. Mei had 50 fewer marbles than Xavier. How many marbles did Xavier and Mei have altogether? *

Answers

Answer: 230 Marbles

Step-by-step explanation:

Let Xavier marbles be x

Let Thomas marbles be y

Let Mei marbles be z

Xavier, Thomas, and Mei had 650 marbles.

x + y + z = 650

Thomas had 3 times as many marbles as Mei.

y = 3 × z

y = 3z

Mei had 50 fewer marbles than Xavier.

x = z - 50

We can plug all the equation gotten back into the first equation

x + y + z = 650

Since y = 3z and x = z - 50

x + y + z = 650

(z - 50) + 3z + z = 650

z - 50 + 3z + z = 650

5z - 50 = 650

5z = 650 + 50

5z = 700

z = 700/5

z = 140

Mei has 140 marbles

Since x = z - 50

x = 140 - 50

x = 90

Xavier has 90 marbles

y = 3z

y = 3 × 140

y = 420

Thomas has 420 marbles

Xavier and Mei marbles = 90 + 140

= 230 marbles

find the area of the circle

Answers

Answer:

A =153.86 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 7 and we can approximate pi by 3.14

A = 3.14 *7^2

A =153.86 m^2

Prana has a savings account and a chequing

account with a total balance of $85.

His parents doubled the amount in each

account and the new total balance is $170.

How much money does Prana have in each

account?

Answers

Answer:

There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Step-by-step explanation:

Let S represents Prana's savings account and C represents Prana's chequing account.

Prana has a savings account and a chequing  account with a total balance of $85.

Mathematically,

S + C = 85      eq. 1

His parents doubled the amount in each  account and the new total balance is $170.

Mathematically,

2(S + C) = 170

2S + 2C = 170      eq. 2

We have two equations and two unknowns.

S + C = 85

S = 85 - C

Substitute the above equation into eq. 2

2S + 2C = 170

2(85 - C) + 2C = 170

170 - 2C + 2C = 170

2C + 2C = 170 - 170

0 = 0

So what does it mean?

it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Analyze the zeros of f(x) = x* - 3x - 2x2 + 3x - 5.
Determine the integral intervals where the zeros are located.
A.-2& -1 and 2&3
C.-2& -1 and 3&4
B.0&1 and 1&2
D.-1 & 0 and 3&4


Please select the best answer from the choices provided

Answers

Its C, I did a test                                              

please help I really need it

Answers

Answer:

1. a   2. b   3. c  4. d

Step-by-step explanation:

you have to simplify but 2/2 to make the denominator 13 on number 3 and 4

Hi Guys i need Ya'lls Help On this
Which answer best describes how to solve this story problem?

There are 4 fewer blue pens in a box than black pens. There are 15 black pens in each box.

How many blue pens are in 3 boxes?

Add 15 and 4. Then multiply the sum by 3.

Subtract 4 from 15. Then multiply the difference by 3.

Subtract 4 from 15. Then divide the difference by 3.

Answers

Answer:

the answer is: "Subtract 4 from 15. Then multiply the difference by 3."

Step-by-step explanation:

If there are 4 fewer blue pens in a box than black pens, and there are 15 black pens in each box, then that means there are 11 blue pens in each box.

So then, how many blue pens are in 3 boxes? There are 33 blue pens in 3 boxes, you can find this out by multiplying, 11 by 3.

the numerical answer is:

11 x 3 = 33

or, 3 x ( 15 - 4)

I hoped this helped!

Change.83 to a fraction.
83
[?]

it’s for acellus and it’s not 100 apparently please help as soon as you can

Answers

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

The cost of 24 bottles of water is $6. How much does it cost for 10 bottles of water?

Answers

Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle

Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total

So, this gives you your final answer. Ten bottles of water cost you $2.50!

Find the median and mode of the data.
3, 4 1/4, 3 3/4, 5, 2 1/2, 8 2/3, 2 1/2
The median is
and the mode is

Answers

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice

please help with math

Answers

Answer:

648 cm³

Step-by-step explanation:

side area=(13+11)/2 ×9=12×9=108 cm²

volume=108×6=648 cm³

What are the solutions to 2x^2+7y=4 ? Select all that apply.

1/2
4
-1/2
-4
7
-7

Answers

Answer:

x = -1/2 , 4

Step-by-step explanation:

1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x+1=0

x−4=0

2) Set the first factor equal to 0.

2x+1=0

3) Subtract 1 from both sides of the equation.

2x=−1

4) Divide each term by 2 and simplify.

2x/2= −1/2

5) Cancel the common factor of 2.

x= −1/2

6) Move the negative in front of the fraction.

x = −1/2

7) Set the next factor equal to 0 and solve.

x=4

8) The final solution is all the values that make

(2x+1)(x−4) = 0 true.

9) x = −1/2 , 4

He also has a piece of string that is 214214 ft long. Olivier needs to cut this string into 3 pieces that are all the same length to finish an art project. How long should each piece of string be?

Answers

Answer:

71.3 ft

Step-by-step explanation:

Oliver has a piece of string that is 214 ft long. He needs to cut this string into 3 pieces that are all the same length.

To find the length that each piece should be, we divide the length of the string by 3:

214 / 3 = 71.3 ft

Each piece should be 71.3 feet long.

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