Unit digit=y
tens digit=x
the number: 10x+y
We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
18y=72
y=72/18=4
x=7-y
x=7-4=3
number=10x+y=10*3+4=30+4=34
solution: the number: 34
To check:
3+4=7
43=34+9
Because they show exactly how much of something is there/needed.
Answer:
1. 100 1. 150 1. 1
2.45 2. 800
Step-by-step explanation:
1. 25% * 400 = 0.25 * 400 = 
* 400 = 100
2. 50% * 90 = 45
1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150
2. 10% * 8000 = 0.1 * 8000 = 800
1. 5% * 20 = 0.05 * 20 = 1
Answer:
log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.
Step-by-step explanation:
By the logarithm product rule, for two nonzero numbers 
and 
,
.
Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.
For example, 
is the number in the logarithm ![\log{[3(x + 4)]}](https://tex.z-dn.net/?f=%5Clog%7B%5B3%28x%20%2B%204%29%5D%7D)
. Since is a product of the two numbers 
and 
, the logarithm can be split into two. By the logarithm product rule,
![\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}](https://tex.z-dn.net/?f=%5Clog%7B%5B3%28x%20%2B%204%29%5D%7D%20%3D%20%5Clog%7B%283%29%7D%20%2B%20%5Clog%7B%28x%20%2B%204%29%7D)
.
However, 
cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.
Answer:
The vertical distance from the origin to the point (2,9) is 9
Or
9.2195
Step-by-step explanation:
It's 9 because y coordinate gives the vertical distance.
Or
It might be 9.2195 because they tell us the point is 2.9 and they are asking the distance from the origin which is zero. So we can use Pythagorean theorem. A²+B²=C² Look at it as a triangle. They have given us A and B, so you can find C² using those information. If you plot the point in the line you know that A=2 and B=9. Using the formula will be 2²+9²=C² ⇒ 4+81=C² ⇒ 85=C². To get rid of the power of 2 in c we have to square both side to cancel it out. C would equal 9.2195
