Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
Answer:
12°, 78°, 90°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 7x - 6 + 90 = 180, that is
8x + 84 = 180 ( subtract 84 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 12°, 78° and 90°
There isnt enough information to solve the question, answer is E.
Answer:number of cupcakes sold is 13
Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Jane sold.
Let y represent the number of cookies that Jane sold.
Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.
This means that
2.25x + 0.5y = 42.75 - - - - - - - - - -1
she sold 40 cupcakes and cookies combined, it means that
x + y = 40
Substituting x = 40 - y into equation 1, it becomes
2.25(40 - y) + 0.5y = 42.75
90 - 2.25y + 0.5y = 42.75
- 2.25y + 0.5y = 42.75 - 90
- 1.75y = - 47.25
y = - 47.35/-1.75
y = 27
x = 40 - y
x = 40-27 = 13
.
Word form: one hundred one and six hundredths.
expanded form: 100+1+0.06
