In a glass the ratio of water
to juice is 11:2
What fraction of the drink
is juice?
Answer:
The fraction of the drink that is juice is [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since the ratio of the water to juice is 11:2, that means the ratio of juice to the total amount of liquid in the glass would be [tex]\frac{2}{11+2}[/tex] or [tex]\frac{2}{13}[/tex].
The fraction of the drink that is juice is [tex]\( \frac{2}{13} \)[/tex].
The ratio of water to juice in the glass is 11:2. This means that for every 11 parts of water, there are 2 parts of juice in the drink.
To find the fraction of the drink that is juice, we need to add the number of parts of juice and water together. In this case, we have 11 parts of water and 2 parts of juice, making a total of [tex]\(11 + 2 = 13\)[/tex] parts.
Now, to find the fraction of juice in the drink, we divide the number of parts of juice by the total number of parts in the drink. So, we have:
[tex]\( \text{Fraction of juice} = \frac{\text{Number of parts of juice}}{\text{Total number of parts}} = \frac{2}{13} \).[/tex]
Thus, [tex]\( \frac{2}{13} \)[/tex] of the drink is juice.
In summary, to find the fraction of juice in the drink, we first add the number of parts of juice and water together to get the total parts in the drink.
Then, we divide the number of parts of juice by the total parts to find the fraction of juice. In this case, the fraction of juice in the drink is [tex]\( \frac{2}{13} \).[/tex]
To know more about Fraction here
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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.
BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
$74.00 sweatshirt; 5% tax
|
Answer:
the tax amount is $3.7
Step-by-step explanation:
Given that
The price of the sweatshirt is $74
And, there is a 5% tax
So we assume that We need to find out the tax amount
So here the following formula should be used
= Price of the sweatshirt × tax rate
= $74 × 0.05
= $3.7
Hence, the tax amount is $3.7
So the same would be considered and relevant
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
(A) 0.01
(B) 0.05
(C) 0.10
(D) 0.45
(E) 0.50
Answer: A. 0.01
Step-by-step explanation:
Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answer:
b
Step-by-step explanation:
3.
Work out
(a)
(__)-(3)
pick number 1-10 if you get it right ill pay 50 dollas
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
Please answer this question correctly
What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.
Answer:
62.832 mi^2
Step-by-step explanation:
Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2
Curved Surface Area= pi x diameter x height
= pi x 4 x 3 = 12 pi mi^2
So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)
Answer:
SA=62.832 mi^2
Step-by-step explanation:
To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.
Given AJKL: AXYZ, find x.
Answer:
6 = 9
8 x
we cross multiply 6× x = 6x 9×8 = 72
6x = 72
6 6
x = 12
Please help me with this question
Answer:
It is 65 cm
Step-by-step explanation:
Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.
With this, BC is ≅ to UV. Now, just set the two equations equal to each other:
9x+2=8x+9
9x=8x+7
x=7
Now, we've got x, though it needs to be plugged back into side BC for the final answer
9(7)+2
63+2
65 cm
Which graph represents the function f(x) =4·3^x
Answer:
c
Step-by-step explanation:
the answer is c c c c c c c c
A non-profit organization plans to hold a raffle to raise funds for its operations. A total of 1,000 raffle tickets will be sold for $1.00 each. After all the tickets are sold, one ticket will be selected at random and its owner will receive $50.00. The expected value for the net gain for each ticket is -$0.95. What is the meaning of the expected value in this context?
A. The ticket owners lose an average of $0.05 per raffle ticket.
B. The ticket owners lose an average of $0.95 per raffle ticket.
C. Each ticket owner will lose $0.95 per raffle ticket.
D. A ticket owner would have to purchase 19 more tickets for the expected value of his or her net gain to increase to $0.00.
E. A ticket owner has a 95 percent chance of having a ticket that is not selected.
Answer:
The answer is "Option b".
Step-by-step explanation:
In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are randomly chosen that wins [tex]\$50[/tex].
[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]
The probability in which each ticket owners win [tex]= 0.001[/tex]
therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
Given the following formula, solve for l.
Answer: Option C
l = (P - 2b)/2
Step-by-step explanation:
From P = 2(l + b)
Divide both sides by 2;
P/2 = 2(l + b)/2
P/2 = l + b
l + b = P/2
Make l the subject of formula;
l = (P/2) - b
l = (P - 2b)/2
$24,000 at 5.5% for 5 years
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
Based on the figure below, what is the value of x? (5x + 15) 30° 3 09 O 12 15
Answer:
is this from FLVS?
Step-by-step explanation:
1/2, 3/4, 1, …What are the 6th and 7th terms of the sequence?
Answer:
Answer
It can be (1+x)
n
only as (1−x)
n
terms are +ve/−ve alternatively hence can't be in A.P.,
General term, T
rH
=
n
C
r
⋅x
r
⇒T
5
=
n
C
4
⋅x
4
,T
6
=
n
C
5
⋅x
5
,T
7
=
n
C
6
⋅x
6
Coefficients are in A.P.
⇒2
n
C
5
=
n
C
4
+
n
C
6
⇒
5!(n−5)!
2n!
=
4!(n−4)!
n!
+
6!(n−6)!
n!
⇒
5(n−5)
2
=
(n−4)(n−5)
1
+
6×5
1
⇒2(n−4)=5+
6
1
(n−4)(n−5)
⇒12(n−4)=30+n
2
−9n+20
12n−48=n
2
−9n+50
⇒n
n
−21n+98=0
⇒n
2
−14n−7n+98=0
⇒n(n−14)−7(n−14)=0
⇒(n−7)(n−14)=0
n=7 or n=14.
PLEASE HELP ME!!!! MATH!!!!
Answer:
Whats misleading is that it gives decimals for the part that says "thousands of dollars" it it is very vivid
Why i think the company would present this graph is To see their budget and income per month and etc.
_____________________________________________________________-
Because on the 2015 box graph is is 3d shaped also, it doesnt have the name for 0 ~ 400 books and etc
2013: 1000
2014: 2000
1015: 4000
___________________________________________________________________
The impression this graph gives is organized for profits but hard to understand
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
each saturday, tina mows lawns to earn extra money which she puts into a savings account. the graph shows the balance of tina’s savings accounts over the first six weeks of mowing lawns. according to this pattern, how much will tina have in her account after 15 weeks of mowing lawns?
Answer:
$255
Step-by-step explanation:
First, we need to generate an equation in slope-intercept form, y = mx + b, that represents the graph. To do this, we need to find b = initial value (y-intercept) and m = slope (money she puts in her account each week).
x = number of weeks
y = balance ($)
✔️Slope (m) = change in y/change in x
Using two points on the line, (1, 45) and (2, 60),
Slope (m) = (60 - 45)/(2 - 1) = 15/1
m = 15
✔️To find b, substitute (x, y) = (1, 45) and m = 15 into y = mx + b.
45 = 15(1) + b
45 = 15 + b
45 - 15 = b
30 = b
b = 30.
✔️To write the equation, substitute m = 15 and b = 30 into y = mx + b
y = 15x + 30
✔️To determine how much Tina will have in her account (y) after 15 weeks (x) of mowing, substitute x = 15 into y = 15x + 30:
y = 15(15) + 30
y = 225 + 30
y = 2
Therefore, Tina will have $255 in her accounts after 15 weeks of mowing lawns.
The owner of a home cleaning company provides her customers with?
A) Promotion
B) Services
C) Brand Name
D) Places
Answer:
Step-by-step explanation:
services
can you please explain how i can work through these problems?
Plz help me
Use the discriminant to determine The number of solutions to the quadratic equation -x^2+10x-2=0
Answer:
x=-5
Step-by-step explanation:
i just solved the problem
Answer:
=5±√23
Step-by-step explanation:
-10+2√23
= -------------
-2
-10-2 √23
= -------------
-2
If the area of a rectangle is 16a^3 – 12a² + 8a and the width is 4a. Find the length
of the rectangle.
Answer:
4a² - 3a + 2
Step-by-step explanation:
*picture above*