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blagie [28]
2 years ago
10

Ms. Casey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she still has 16 tests to grade afte

r school, how many tests are there?
Mathematics
1 answer:
CaHeK987 [17]2 years ago
6 0

Answer:30 tests

Step-by-step explanation:

16=2/3 -4

20=2/3

10=1/3

30tests

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Q3. a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's av
Sladkaya [172]
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
4 0
2 years ago
Karen can paint a wall in 2.5 hours. Stephanie takes 1.25 hours to paint the same size wall. How many minutes will it take for K
Marysya12 [62]
Well, it all depends on how big the wall is so that way, you can find out how much of the wall they can cover per hour or per minute.
5 0
1 year ago
What type of triangle has side lengths 12, 13, and 2√3?
Travka [436]

Answer:

The triangle is an obtuse scalene triangle

Step-by-step explanation:

we know that

if c^{2}=a^{2}+b^{2} --------> is a right triangle

if c^{2}>a^{2}+b^{2} --------> is an obtuse triangle

if c^{2} --------> is an acute triangle

where

c is the greater side

we have

c=13\ units

a=12\ units

b=2\sqrt{3}\ units

so

c^{2}=13^{2}=169

a^{2}+b^{2}=12^{2}+(2\sqrt{3})^{2}=156

so

c^{2}>a^{2}+b^{2} -------> is an obtuse triangle

Remember that

The given triangle has three different length side

so

Is a scalene triangle

therefore

The triangle is an obtuse scalene triangle

4 0
1 year ago
Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests, it has been discovered that he is righ
Alla [95]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

8 0
1 year ago
Read 2 more answers
The table shows the number of condo sales per month for a new condo building.
Tresset [83]

Answer:

Do you happen to have the graph or anything to add to it? Because it is kind of difficult to see when it looks like that. I think it would be 11, 8, 5, and

y-2--3(x-3)

y+ 11 = 31-0)

y+ 1 =-3(x-2)

Y-1--31% +8)

y-11 =-3lx -0)

8 0
2 years ago
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