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7nadin3 [17]
3 years ago
14

On Monday, Anya read 11 pages of a book in 1/2 hour. On Tuesday, she read 18 pages in 3/4 hour. Did Anya's reading speed increas

e by more than 10% from Monday to Tuesday? Justify your answer.
Mathematics
1 answer:
Lerok [7]3 years ago
4 0
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can  then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.

Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.

I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.

If you need more help, let me know!  
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Rachel has a bag of marbles. She added 6 marbles to the bag but then took out 8 marbles. The bag now has 14 marbles. How many ma
Anna35 [415]

Answer:

to my knowledge of this it is 28

Step-by-step explanation:

because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps

6 0
3 years ago
The ratio of rainy days to non rainy days was 2 to 3. How many of the 30 days in April were rainy?
viktelen [127]
20 days were rainy.

2:3=x:30
2/3=x/30
x=20
3 0
3 years ago
Read 2 more answers
X fraction 2 - 5 = 25
xxTIMURxx [149]

Answer:

X=60

Step-by-step explanation:

X fraction 2 - 5 = 25

X/2-5=25

X/2 =25+5

X/2=30

X=60

60 is the answer

6 0
3 years ago
Suppose f(x)=2×+5 find the value of -2f(x+1)
loris [4]
F(x) = 2x + 5 

-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5

-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10

----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------
3 0
3 years ago
PLEASE HELP FAST 100 EASY POINTS WILL MARK BRAINLEST!!!
spin [16.1K]

Answer:

y=-1x+8 \\or\\y=-x+8

Step-by-step explanation:

Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.

First we figure out our points for both the lines:

BC:  B=(-2,4)   \\C=(1,1)

EF: E=(4,4)\\F=(6,2)

Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:

\frac{y_1-y_2}{x_1-x_2} = Slope Formula

BC = \frac{4-1}{-2-1} =\frac{3}{-3} =\frac{-3}{3} =-1

EF = \frac{4-2}{4-6} =\frac{2}{-2}=\frac{-2}{2}= -1

So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:

Let's use point = (4,4)

y=4,m=-1,x=4,b=?

y=mx+b\\4=-1(4)+b\\4=-4+b\\(+4) 4=-4+b(+4)\\8=b

We used the formula and found that the y-intercept was (0,8), so now we plug in all of our answers:

y=-1x+8

This is the complete answer but if you wanted to simplify it more you could write it as y=-x+8, cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.

7 0
2 years ago
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