Hi there! :)
<u>Answer:</u>
x = -2
Step-by-step explanation:
<u>5</u> - 3x = 11
Subtract "5" from each side of the equation → 11 - 5 = 6
<u>-3</u>x = 6
Divide each side of the equation by "-3" → 6 ÷ -3 = -2
<u>x = -2</u>
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
The dishwasher will use 80 gallons of water to wash 10 loads of dishes.
Step-by-step explanation:
Given,
Water used for 4 loads of dishes = 32 gallons
Ratio of water used to load of dishes = 32:4
Let,
x represents the gallons of water required for 10 loads of dishes.
Ratio of water used to load of dishes = x:10
Using proportion
Ratio of water used to load of dishes :: Ratio of water used to load of dishes
Product of mean = Product of extreme
Dividing both sides by 4
The dishwasher will use 80 gallons of water to wash 10 loads of dishes.
The correct answer is 100
Answer:
13. 15
14. 3
Step-by-step explanation:
Translate words into an equation by taking apart sections. Then isolate the variable.
13. 27 is 12 more than a number x
"27" 27
"is" =
"12 more than a number x" x + 12
27 = x + 12
27 - 12 = x + 12 - 12 Subtract 12 from both sides. "x" will be isolated (alone).
15 = x Answer
x = 15 Writing variable on the left side is standrad
14. The difference of a number p and -9 is 12
"The difference of a number p and -9" |p - (-9)|
"is" =
"12" 12
|p - (-9)| = 12 Subtracting a negative number becomes adding
|p + 9| = 12
|p + 9 - 9| = 12 - 9 Subtract 9 from both sides
p = 3 The | | can be worked around, it just keeps "p" positive.
Answer: False.
Step-by-step explanation:
In a parallelogram, both the opposite sides and angles are congruent.