The answer is x equal 0 and y equal negative 3
The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
Learn more about distributive property from
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52/8 is 6.5 which is 6.5 days 15-6.5 is 8.5 and 8.5 • 8 is 68. 68+52 is the same as 15•8 so i’m pretty sure the answer is 68
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
