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elena-s [515]
3 years ago
13

Two classrooms have a total of 45 people in them. The first class is a math class with 5 more students that the science class. H

ow many are in each class?
Mathematics
2 answers:
Basile [38]3 years ago
5 0

Answer:

20 students in science class, 25 in math

Step-by-step explanation:

so let 1 classroom= x

so the other classroom= x+5

if there is a total of 45 students

x+x+5=45

2x=45-5

2x=40

x=20

Elenna [48]3 years ago
5 0

Answer:20/25

Step-by-step explanation:

20 in science, 25 in math = 45 total!

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Suppose you have $10,000 to invest. Which investment yields the greater return over 7 years: 6.6% compounded monthly or 6.7% com
joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00

#Given n=7rs, P=10000, i=6.7%

i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0
3 years ago
How do you multiply 12x12 step by step?
geniusboy [140]

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

8 0
4 years ago
Read 2 more answers
8. Evaluate: f(x) = x2 + 1<br> g(x) = 5 - x<br> a. (f+g)(x) =<br> b. (f-g)(x) =
Papessa [141]

Answer:

(f+g)(x)=2x+1+5 - x

(f+g)(x)=x + 6

(f - g)(x)= 2x + 1 - (5- x )

(f - g)(x)= 3x - 4

6 0
3 years ago
Can someone please help me??
dmitriy555 [2]

Answer:

I is clear that, the linear equation 5x+12=5x-7 has no solution.

Step-by-step explanation:

<u>Checking the first option:</u>

\frac{2}{3}\left(9x+6\right)=6x+4

6x+4=6x+4

\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}

6x+4-4=6x+4-4

6x=6x

\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}

6x-6x=6x-6x

0=0

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

<u>Checking the 2nd option:</u>

5x+12=5x-7

\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}

5x+12-5x=5x-7-5x

\mathrm{Simplify}

12=-7

\mathrm{The\:sides\:are\:not\:equal}

\mathrm{No\:Solution}

<u>Checking the 3rd option:</u>

4x+7=3x+7

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}

4x+7-7=3x+7-7

\mathrm{Simplify}

4x=3x

\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}

4x-3x=3x-3x

\mathrm{Simplify}

x=0

<u>Checking the 4th option:</u>

-3\left(2x-5\right)=15-6x

\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}

-6x+15-15=15-6x-15

\mathrm{Simplify}\

-6x=-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}

-6x+6x=-6x+6x

\mathrm{Simplify}

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

Result:

Therefore, from the above calculations it is clear that, the linear equation

5x+12=5x-7 has no solution.

4 0
3 years ago
A company that manufactures toy trains is making a new boxcar. To fit on the track, the smallest dimension of the toy boxcar mus
pochemuha

Answer:

Length = 12 inches, height = 3 inches

Step-by-step explanation:

First, you have to set up a proportion. 2/7, x/42.

Then, you cross multiply and get the setup of 84=7x

Finally, you divide 84 by 7 and get 12.

12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.

8 0
3 years ago
Read 2 more answers
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