Answer: 1 solution at (2.8, 7)
Answer:
42 degrees
Step-by-step explanation:
it’s the same as the other one
x= 3+√5/4,3-√5/4
Step-by-step explanation:
1.In general, given ax^2+bx+c=0, there exists two solutions where:
x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a
2.In this case, a=4, b=-6 and c=1.
x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4
3.Simplify.
x=6+2√5/8, 6-√5/8
4.Simplify solutions.
x=3+√5/4, 3-√5/4
Answer:
130
Step-by-step explanation:
The number of integers meeting the criteria can be found by counting them using a counting formula.
<h3>Divisible by 7</h3>
Integers divisible by 7 will have the form (7n), where n is some positive integer. The number of them less than 1000 can be found from ...
7n ≤ 1000
n ≤ 142.857
There are 142 integers less than 1000 that are divisible by 7.
<h3>Divisible by 7 and 11</h3>
Similarly, integers divisible by 7 and 11 will be of the form (77n), for some positive integer n.
77n ≤ 1000
n ≤ 12.987
There are 12 integers less than 1000 that are divisible by both 11 and 7.
<h3>Divisible by 7, not 11</h3>
The number of integers less than 1000 that are divisible by 7, but not 11, will be the difference of these numbers.
142 -12 = 130 integers divisible by 7, but not 11.
Answer:
6 3/
5
= 6.6
Step-by-step explanation:
Conversion a mixed number 2 3/
5
to a improper fraction: 2 3/5 = 2 3/
5
= 2 · 5 + 3/
5
= 10 + 3/
5
= 13/
5
To find new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 5.
Two and three fifths is thirteen fifths
Add: 4 + 13/
5
= 4/
1
+ 13/
5
= 4 · 5/
1 · 5
+ 13/
5
= 20/
5
+ 13/
5
= 20 + 13/
5
= 33/
5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - four plus thirteen fifths = thirty-three fifths.
