<u>Answer:</u>
x = 6.00001
<u>Step-by-step explanation:</u>
We are given the following log problem to solve for x:
log(x) + log(3) = log(18)
log(x) + 0.477121 = 1.255273
Adding -0.477121 to both the sides to get:
log(x) + 0.477121 + (−0.477121) = 1.255273 + (−0.477121)
log(x) + 0 = 0.778152
Dividing both the sides by 1 to get:
log(x) + 0/1 = 0.778152/1
log(x) = 0.778152
Solving the logarithm to get:
log(x) = 0.778152
10log(x) = 100.778152
x = 6.00001
Answer:
These two lines are parallel and system of these equations have no solution
Step-by-step explanation:
Parallel Lines: Lines having same slope and different x and y intercept are parallel lines. System of such equations does not have any solution as these lines does not intersect at any finite points.
Standard form of line is where is slope and is y-intercept.
First Line:
Second Line:
Hence these two lines are parallel and system of these equations have no solution
Complete Question
You are measuring walnuts for banana-walnut oatmeal and a spinach and walnut salad. You need 3/4 cup of walnuts for the oatmeal and 7/8 cup of walnuts for the salad. You have a 1/8 -cup scoop. Complete the descriptions of two different ways to find how many scoops of walnuts you will need. Enter all non-whole number answers as mixed numbers in simplest form.
Answer:
13 scoops
Step-by-step explanation:
Description 1
Step 1
3/4 cup of walnuts for the oatmeal
7/8 cup of walnuts for the salad
Total cups of walnuts needed for both salad and oatmeal =
3/4 cups + 7/8 cups
(3/4 + 7/8)
(6 + 7/8)
= 13/8 cups of walnuts
= 1 5/8 cups of walnuts
Step 2
You have a 1/8 -cup scoop
The number of cup scoops of walnuts need is calculated as
1 5/8 cups ÷ 1/8 cup scoop
= 13/8 ÷ 1/8
= 13/8 × 8/1
= 13 scoops
Therefore, 13 scoops of walnuts is needed.
Description 2
3/4 cup of walnuts for the oatmeal
7/8 cup of walnuts for the salad
1/8 cup scoop
Therefore,
(3/4 + 7/8) ÷ 1/8
=(13/8) ÷ 1/8
= 13 scoops of walnuts are needed
The answer is (3,-5). Hope this helps