Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
Answer:
there are only 4 whole numbers whose squares and cubes have the same number of digits.
Explanations:
let 0, 1, 2 and 4∈W (where W is a whole number), then
, 
,
, 
,
, 
,
, 
.
You can see from the above that only four whole numbers are there whose squares and cubes have the same number of digits
Answer:
ANSWER:D
Step-by-step explanation:
Sana maka help
Answer:
Brooke
Step-by-step explanation:
We can solve this by figuring out how far each person runs a second
Stephanie runs 12 feet a second so nothing needs to be done here
Liz runs 306 feet in 38 seconds. To solve for the distance ran in 1 second we can divide (306/38)= around 8 feet
Will runes 1 mile in 491 seconds. A quick search will tell use that 1 mile is equal to 5280 feet and 5280/491 = 10.75
Brooke runs 851 feet in 1 minute or 60 seconds. 851/60 =14.18
Brooke obviously runs the furthest in one second and therefore she's the fastest runner
When you multiply a whole number by a fraction, you multiply the whole number by the numerator (top) of the fraction and you end up with an improper fraction. This question simply wants you to multiply the whole number by the numerator, then multiply that whole number by the remaining fraction.
= 4 * 2/6
multiply 4 by the numerator
=(4*2)/6
multiply 4*2 then separate from the remaining 1/6 fraction
=8 * 1/6
ANSWER: 8 * 1/6
Hope this helps! :)
