Answer:
z<8
Step-by-step explanation:
First: write down the equation : 6z<48
Second: divide both sides with 6 (since its the only number that can be divided for both sides)
Third: then you'll get z<8
Answer:
60,000 grams
Step-by-step explanation:
Find how many grams she weighs by finding how many grams are in 60 kilograms.
There are 1000 grams in a kilogram, so to find her weight in grams, multiply 60 by 1000:
60(1000)
= 60,000
So, Julie weighs 60,000 grams
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
Answer:
31.5 litres
Step-by-step explanation:
If Mel uses all 30 litres of yellow paint, then:
5 / 2 = 30 / x
5x = 60
x = 12
Mel would need 12 litres of blue paint, but she only has 9 litres. So the amount of yellow paint she needs is:
5 / 2 = x / 9
2x = 45
x = 22.5
Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.
Answer:
$100
Step-by-step explanation:
20%+30% = 50% off
50/100 = 1/2
200*1/2 = $100
