Answer: 16 red velvet cupcakes.
Step-by-step explanation:
To solve this problem you can apply the following proccedure:
- Let's call the number of red velvet cupcakes in a box that has 24 chocolate cupcakes: 
- Based on the information given in the problem, you can set up the following proportion and Solve for <em>:</em>
There are 16 red velvet cupcakes in a box that has 24 chocolate cupcakes.
Answer:
3. x=16
4. x=51
Step-by-step explanation:
3. 3x-8=x+24
2x=32
x=16
4. 2/3(x+27)= 180-(3x-25)
2/3x+18=180-3x+25
11/3x=187
11x=561
x=51
You cannot find x.
Because both phrases are to the power of 0, we know that it is essentially 1*1
So:
(3x - 8)^0 (4x - 23)^0 = 1
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:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
