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3 years ago

A teacher can grade 25 papers in 4 hours.

Mathematics

2 answers:

UkoKoshka [18]3 years ago

8 0

25/4= 6.25

6.25(6)=37.5

The teacher can grade 37.5 papers in 6 hours.

Nadusha1986 [10]3 years ago

7 0

Well if she can grade 25 in 4 hours..
First we have to find out how many she can grade in 1 hour
to find that out you can just divide the papers/hours= the paper per 1 hour
25/4= 6.25 papers per hour
So then to figure out how many papers the teacher can grade in 6 hours you multiply the number of papers per hour x the number of hours= number of papers in 6 hours
6.25*6= 37.5 papers in 6 hours
so the answer would be A) 37.5

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Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles

ivanzaharov [21]

Triangles with height $h$ and base $b$ , with $b=h$ have area $\dfrac{b^2}2$ .

Such cross sections with the base of the triangle in the disk $x^2+y^2\le25$ (a disk with radius 5) have base with length

$b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}$

i.e. the vertical (in the $x,y$ plane) distance between the top and bottom curves describing the circle $x^2+y^2=25$ .

So when $x=4$ , the cross section at that point has base

$2\sqrt{25-16}=6$

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

$\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3$

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3 years ago

Pam budgets $164 for fitness training. She buys a pair of hand weights for $12.65 and pays $10 per fitness class. Which inequali

NARA [144]

Answer:

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP

creativ13 [48]

We need to divide 64/3 by the book thickness, 4/3. Since these two fractions have the same denominator, we can drop the 3's and focus on 64/4.

64/4 = 16

The third answer is the correct one. The other three answers aren't even close!

7 0

4 years ago

Read 2 more answers

Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/

Neko [114]

Answer: Hence, Option (6) and (8) are correct as their value is also "-8".

Step-by-step explanation:

Since we have given that

$\frac{2}{3}(6x+12)=-24$

First we need to solve to get the value of 'x' :

$\frac{2}{3}(6x+12)=-24\\\\6x+12=\frac{3}{2}\times (-24)\\\\6x+12=3\times (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=\frac{-48}{6}\\\\x=-8$

Therefore, x=-8

Now, we will check all the options :

1) 4x+8=24

$4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=\frac{16}{4}=4$

2) 9x+18=-24

$9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67$

3) 4x+12=-24

$4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=\frac{-36}{4}=-9$

4) 18x+36/2=-24

$18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34$

5) 4x=-36

$x=\frac{-36}{4}=-9$

6) 4x=-32

$x=\frac{-32}{4}=-8$

7) x=-9

8) x=-8

Hence, Option (6) and (8) are correct as their value is also "-8".

5 0

4 years ago

Read 2 more answers

I cant wrap my head around this

vazorg [7]

Answer:

B is the answer

Step-by-step explanation:

16 times 1/2 is 8.

dilations do not change angles so the angle of A will remain 28 degrees.

7 0

3 years ago