Answer:
2.8 or 2 4/5
Step-by-step explanation:
Here's our proportion of cups of milk to servings
3 1/2:10 For my sake I'm using decimals
3.5:10
Now let's try to get our servings to 1 (a unit rate)
0.35:1 I divided by 10 on each side
We need 8 servings not 1 so let's multiply 8 on each side
2.8:8
In case you want it in fraction form we can do 2 8/10 and simplify it to 4/5 by dividing by 2. Our answer is 2.8 or 2 4/5 cups of milk for 8 servings.
\angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A,
a_sh-v [17]
Answer:
AC = 4.5 units
Step-by-step explanation:
Given question is incomplete without the figure; find the figure attached.
By applying angle bisector theorem in the given triangle ABC,
(Since, AD is the angle bisector of ∠BAC)
AC = 
AC = 4.47
AC ≈ 4.5 units
Length of side AC in the given triangle = 4.5 units.
Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.
Possible perfect squares are the squares of integers 2-9.
In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.
Tabulate the number (in [ ])of integers containing factors of
2^2=4: 4,8,12,16,...96 [24]
3^2=9: 9,18,....99 [11]
5^2=25: 25,50,75 [3]
7^2=49: 49,98 [2]
So the total number of integers from 1 to 99
N=24+11+3+2=40
=>
Number of positive square-free integers below 100 = 99-40 = 59
Subtract 5 to both sides so that the equation becomes -2x^2 + 6x - 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -6 ± √((6)^2 - 4(-2)(-1)) ] / ( 2(-2) )
x = [-6 ± √(36 - (8) ) ] / ( -4 )
x = [-6 ± √(28) ] / (-4)
x = [-6 ± 2*sqrt(7) ] / (-4 )
x =3/2 ± -sqrt(7)/ 2
The answers are 3/2 + sqrt(7)/2 and 3/2 - sqrt(7)/2.
Answer:
y = 2
x + 9
Step-by-step explanation:
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