Answer:
192192192%
Step-by-step explanation:
If 600600600 is 100%, so we can write it down as 600600600=100%. 4. We know, that x is 192192192% of the output value, so we can write it down as x=192192192%.
Let
be the chocolate chip cookies, so the peanut butter treats will be
.
We know that the cookies and the treats are in a ratio of 5:3, so:
Now we can solve for
:
We now know Lydia has 90 chocolate chip cookies, and
peanut butter treats.
Then, Lydia's friend ate
of her cookies, so her friend ate
cookies. Therefore, Lydia has
cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:
Therefore, our remainder treats will be:
We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:
Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.
270+3s>=540. i did the math and I'm pretty sure this is the correct answer
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
<h3>What are Parallel lines?</h3>
Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
<h3>The Triangle Midsegment Theorem</h3>
- A midsegment is a line that connects the midpoints of the two sides of a triangle together.
- Every triangle three midsegments.
- Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).
Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
FH = ½(48)
FH = 24
b.) JL = 2(FG)
JL = 2(37)
JL = 74
c.) KJ = 2(GH)
KJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
FJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
AE = 2(13)
AE = 26
b.) AN = 2(CP)
AN = 2(29)
AN = 58
c.) CT = ½(EN)
CT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
Perimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
19x - 12x = 28 + 14
7x = 42
x = 6
Learn more about midsegment theorem on:
brainly.com/question/11482568
Answer:
the machine is mixing the nuts are not in the ratio 5:2:2:1.
Step-by-step explanation:
Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.
A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.
Create hypotheses as
H0: Mixture is as per the ratio 5:2:2:1
Ha: Mixture is not as per the ratio
(Two tailed chi square test)
Expected values as per ratio are calculated as 5/10 of 500 and so on
Exp 250 100 100 50 500
Obs 269 112 74 45 500
O-E 19 -12 -26 -5 0
Chi 1.343 1.286 9.135 0.556 12.318
square
df = 3
p value = 0.00637
Since p value < alpha, we reject H0
i.e. ratio is not as per the given