Answer:
Each shirt cost $<u>7</u> and each pair of shorts cost $<u>17</u> .
Step-by-step explanation:
let shirts be represented as x
let shorts be represented as y
Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.
4 x + 3 y = $79 .......equation 1
Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.
7 x + 8 y = $185 .......equation 2
multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.
7 × (4 x + 3 y = $79) ⇒ +28 x + 21 y = $553
-4 × (7 x + 8 y = $185) ⇒ <u> -28 x - 32 y = - $740</u>
0 - 11 y = - $187 ⇒ -11 y = - $187
y =
⇒ y = $17
shorts = y = $17
put value of y in equation 1
4 x + 3 ( $17 ) = $79 ⇒ 4x + $51 = $79 ⇒ 4x = $79 - $51
4x = $28 ⇒ x =
⇒ x = $7
Shirts = x = $7
Answer:
Use PEMDAS so division would be the first step
Step-by-step explanation:
1)Parentheses
2)Exponents
3)Multiplication
4)Division
5)Addition
6)Subtraction
Answer:
20+4x
Step-by-step explanation:
Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.
To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.
8/3 = 2 2/3 and -11/3 = -3 2/3
so the middle line is 0 and each big line is 1.
Put the first dot on 2 2/3 or right before the 3rd big line.
Put the second dot on -3 2/3 or the line right after the 4th big line going back from 0
Answer:
You want to calculate the interest on $5000 at 13% interest per year after 2 year(s).
The formula we'll use for this is the simple interest formula.
Where:
P is the principal amount, $5000.00.
r is the interest rate, 13% per year, or in decimal form, 13/100=0.13.
t is the time involved, 2....year(s) time periods.
So, t is 2....year time periods.
To find the simple interest, we multiply 5000 × 0.13 × 2 to get that:
The interest is: $1300.00
Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),
or 5000.00 + 1300.00 = 6300.00. For example:
If you borrowed the $5000.00, you would now owe $6300.00