Answer:
360 × 30
= (360 × 3) × 10
= 1080 × 10
= 10800
Step-by-step explanation:
For the first two blanks, we will have to find a pair of factors of 30 that will make this the easiest to solve. Lets pair up all of the factors of 30.
1, 30
2, 15
3, 10
5, 6
So now we have found all of the factors of 30. We can eliminate 1 and 30, since we will just end up with 360 × 30 in the second line. We could use 2 and 15, but we will end up with _____ × 15 in the second line, which would be more difficult to solve for than the other two options. Now, you should use any one of the final two pairs of factors. I would use 3 and 10, since I find it much easier to multiply something by 3 and 10 than 5 and 6.
Lets put 3 in the first blank and 10 in the second blank. We will end up with:
(360 × 3) × 10
Now 360 × 3 would be 1080. So the second line would be:
1080 × 10
1080 × 10 would equal 10800. So the final line and the final blank would be:
10800
So in order, the lines would be:
= (360 × 3) × 10
= 1080 × 10
= 10800
I hope you find my answer and explanation to be helpful. Happy studying.
Answer is: 32 nickels and 23 dimes.
<span>x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
</span>nickel is a five-cent coin.
dime is a ten-cent coin.<span>
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05</span>·(55 - y) + 0,1y = 3,90<span>2,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.</span>
Answer:
S=157
Step-by-step explanation:
an= a1+(n-1)d
a2=80+(2-1)(-3)
a2=80-3
a2=77
Sn=(a1+an)*n/2
S2=(80+a2)*2/2
S2=(80+77)*1
S2=157
Answer:
f(x)=x^2+3
f(x+y)=(x+y)^2+3
this is done by replacing x with (x+y)
f(x+y)=x^2+2xy+y^2+3
therefore : f(x+y)= x^2+y^2+2xy+3
The answer to the question is 200.
