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Alexxx [7]
3 years ago
10

Simplify using mental math 7 / 10 + 2 / 5 - 1 / 10

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
5 0
Common denominator first. multiply 2/5 by 2 in the top and bottom so they all have a denominator of 10

7/10+4/10-1/10=10/10

10/10=1
emmasim [6.3K]3 years ago
5 0
Assuming mental math still follows the order of operations, you have
\frac{7}{10} +  \frac{4}{10} -  \frac{1}{10} =  \frac{10}{10} = 1

So the answer is 1.
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Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?​
Anastasy [175]

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

8 0
3 years ago
Read 2 more answers
Solve for x in the equation
Sati [7]
So 1st make it equal to zero
x^2+4x-12
(x+6)(x-2)
so
x=-6 or 2 is the correct answer

8 0
3 years ago
Read 2 more answers
WORTH 19 POINTS!!
marta [7]
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and  a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum.  You also know the amplitude has to be 10 since 18+2=20 and 20/2=10.  We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.

lets start of with a regular cos(x) graph.  This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.

-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
 
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.

-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.

Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.  

I hope this helps.  Let me know if anything is unclear.
8 0
3 years ago
in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y
vlada-n [284]
I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

5 0
3 years ago
5. (03.02 MC)
inn [45]

Answer:

f(4) =2

Step-by-step explanation:

f(x) = 2х^2 - 30,

Let x=4

f(4) = 2 (4)^2 -30

     = 2*16 -30

       =32-30

      = 2

6 0
3 years ago
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