Answer:
x = 91.5
Step-by-step explanation:
for 30.5 miles travelled gas used is 1 gallon ← unit rate
To calculate distance travelled multiply gas used by 30.5
For 3 gallons used
distance travelled = 3 × 30.5 = 91.5 miles
⇒ x = 91.5
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Step-by-step explanation:
In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.
So,
Taking x = 2

Taking x = 5

Taking x= 10

Hence,
For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Keywords: Polynomials, expressions
Learn more about polynomials at:
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Answer:
Last year there were 550 bison in the heard and this year it is 10% larger.
10% is also 10/100 or 0.10
To find 10% of the heard last year
550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,
to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.
550 x 1.10 = 605
For the second example.
If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.
550 = (x - (x * 0.10)) simplify;
550 = 1x - 0.10x
550 = 0.90x
Divide both sides by 0.90
x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.
Answer:
140
Step-by-step explanation:
Let the number = x
Hence, the expression can be written has:
0.4 of x = 56
0.4x = 56
Divide both sides by 0.4
0.4x / 0.4 = 56 / 0.4
x = 140
Hence, 56 is 0.4 of 140