All categories

2 years ago

Express 8.5454545454... as a rational number, in the form p/q where p and q are positive integers with no common factors.

1 answer:

5 0

$x=8.\overline{54}\\
100=854.\overline{54}\\
100x-x=854.\overline{54}-8.\overline{54}\\
99x=846\\
x=\dfrac{846}{99}=\dfrac{94}{11}

$

You might be interested in

Jackie has 10 groups of pennies with 3 pennies in each group. Carlos has 5 groups of pennies with 100 pennies in each group. Who

Tcecarenko [31]

Answer=Carlos

If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.

10*3=30 pennies

If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.

5*100=500 pennies

500 pennies is more than 30 pennies, so Carlos has more pennies

8 0

3 years ago

Read 2 more answers

What is 5 and 9 25 ad an improper fraction

natta225 [31]

134/25! I hope I helped!

3 0

3 years ago

Read 2 more answers

Anyone know how to factor this: x^3 -3x^2 -10x=0

Kazeer [188]

Answer : x = 0,5,-2
Step 1 : factor left side
x(x+2)(x-5)=0
step 2 : set factors equal to 0
x=0, x+2=0 or, x-5=0

6 0

3 years ago

On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len

Lisa [10]

A:b=c:d
7.2:x=1:25. If u see two ratios equal each other, the product of a and d is equal to the product of b and c. This means that (7.2 times 25) is equal to x. This equals 180=x. The actual distance of the trail of 180 km. Hope this helps!

7 0

2 years ago

A park is 4.6 miles long and 2.7 miles wide. A:what is the total distance around the park? B:if a racecar drove 50 times around

Vlada [557]

Answer:

A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles

Step-by-step explanation:

Given as :

The length of park = 4.6 miles

The width of park = 2.7 miles

Let the total distance cover around park = Perimeter of park = P miles

So, Perimeter of rectangular park = 2 × Length + 2 × width

or, P = 2 × 4.6 + 2 × 2.7

I.e P = 9.2 + 5.4

Or, perimeter = 14.6 miles

A ) ∴ Total distance around the park = 14.6 miles

B ) The total distance drove by racer = 50 times around the park

So, The total distance drove by car = 50 × Total distance around the park

∴The total distance drove by car = 50 × 14.6 = 730 miles

Hence A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles answer

6 0

3 years ago