Answers
Answer:
1/3 cup of juice per cup of berries
Step-by-step explanation:
The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate
(4/3) cups
------------------------ = 1/3 cup of juice per cup of berries
4 cups berries
Related Questions
How do you solve 4x - 18 < -x -3
Answers
Answer:
x<3
Step-by-step explanation:
--add 18--
[tex]4x-18+18<-x-3+18[/tex]
--simpifly--
[tex]4x<-x+15[/tex]
--add x--
[tex]4x+x<-x+15+x[/tex]
--simpifly--
[tex]5x<15[/tex]
--divide both side by 15--
x<3
sorry for late
<3
Red
What is the conjugate and modulus of 2 – 6i?
Answers
Answer:
2 + 6i
Step-by-step explanation:
It’s the same numbers with an opposite sign
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.
The modulus of a complex number a + bi is:
|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]
The conjugate and modulus of 2 – 6i is:
Conjugate of 2 - 6i = 2 + 6i
|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
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Dexter got a raise in his hourly pay, from $12.75 to $16.30. Find the percent change. Round to the nearest tenth of a percent.
Answers
Answer:
27.8
Step-by-step explanation:
16.3 - 12.75 = 3.55
3.55 ÷ 12.75 = 27.8
Which is the best approximate solution of the system of linear equations y=1.5x -1 and y=1
Answers
Answer:
(1 1/3, 1)
Step-by-step explanation:
1.5x-1=1
1.5x=2
x=1 1/3
y=1
(1 1/3, 1)
At one point the average price of regular unleaded gasoline was $3.39 per gallon. Assume that the standard deviation price per gallon is $ per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within standard deviations of the mean? (b) What percentage of gasoline stations had prices within standard deviations of the mean? What are the gasoline prices that are within standard deviations of the mean? (c) What is the minimum percentage of gasoline stations that had prices between $ and $?
Answers
This question was not written completely
Complete Question
At one point the average price of regular unleaded gasoline was $3.39 per gallon. Assume that the standard deviation price per gallon is $0.07 per gallon and use Chebyshev's inequality to answer the following.
(a) What percentage of gasoline stations had prices within 3 standard deviations of the mean?
(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean?
(c) What is the minimum percentage of gasoline stations that had prices between $3.11 and $3.67?
Answer:
a) 88.89% lies with 3 standard deviations of the mean
b) i) 84% lies within 2.5 standard deviations of the mean
ii) the gasoline prices that are within 2.5 standard deviations of the mean is $3.215 and $3.565
c) 93.75%
Step-by-step explanation:
Chebyshev's theorem is shown below.
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.
3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.
4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.
(a) What percentage of gasoline stations had prices within 3 standard deviations of the mean?
We solve using the first rule of the theorem
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
Hence, k = 3
1 - 1/k²
= 1 - 1/3²
= 1 - 1/9
= 9 - 1/ 9
= 8/9
Therefore, the percentage of gasoline stations had prices within 3 standard deviations of the mean is 88.89%
(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean?
We solve using the first rule of the theorem
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
Hence, k = 3
1 - 1/k²
= 1 - 1/2.5²
= 1 - 1/6.25
= 6.25 - 1/ 6.25
= 5.25/6.25
We convert to percentage
= 5.25/6.25 × 100%
= 0.84 × 100%
= 84 %
Therefore, the percentage of gasoline stations had prices within 2.5 standard deviations of the mean is 84%
What are the gasoline prices that are within 2.5 standard deviations of the mean?
We have from the question, the mean =$3.39
Standard deviation = 0.07
μ - 2.5σ
$3.39 - 2.5 × 0.07
= $3.215
μ + 2.5σ
$3.39 + 2.5 × 0.07
= $3.565
Therefore, the gasoline prices that are within 2.5 standard deviations of the mean is $3.215 and $3.565
(c) What is the minimum percentage of gasoline stations that had prices between $3.11 and $3.67?
the mean =$3.39
Standard deviation = 0.07
Applying the 2nd rule
2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.
the mean =$3.39
Standard deviation = 0.07
μ - 2σ and μ + 2σ.
$3.39 - 2 × 0.07 = $3.25
$3.39 + 2× 0.07 = $3.53
Applying the third rule
3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.
$3.39 - 3 × 0.07 = $3.18
$3.39 + 3 × 0.07 = $3.6
Applying the 4th rule
4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.
$3.39 - 4 × 0.07 = $3.11
$3.39 + 4 × 0.07 = $3.67
Therefore, from the above calculation we can see that the minimum percentage of gasoline stations that had prices between $3.11 and $3.67 corresponds to at least 93.75% of a data set because it lies within 4 standard deviations of the mean.
Able has a younger sister and an older brother. - Able’s age can be represented by x. - Able’s sister is 4 years younger than him. - Able’s older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able’s younger sister?
Answers
Answer:
5 years old
Step-by-step explanation:
Able has a younger sister and an older brother.
Able’s age can be represented by x.
Able’s sister (s) is 4 years younger than him. This can be represented as:
s = x - 4 [1]
Able’s older brother (b) is twice as old as he is. This can be represented as:
b = 2x [2]
The combined age of all three siblings is 32. This can be represented as:
x + s + b = 32 [3]
If we replace [1] and [2] in [3], we get:
x + (x - 4) + 2x = 32
4x = 36
x = 9
The age of Able's younger sister is:
s = x - 4 = 9 - 4 = 5
2х - Зу= 2
х= бу - 5
X=
Y=
Answers
Answer:
2x-3y=2
x=6y-5
2(6y-5)-3y=2
use the distributive property.
2*6y=12y
2*-5=-10
12y-10-3y=2
combine like terms
12y-3y=9y
9y-10=2
add 10 to both sides.
9y-10+10=9y
2+10=12
9y=12
divide both sides by 9
9y/9=y
y=about 1.33
plug in the value of y in the expression equal to the value of x.
x=6(1.33)-5
solve
6*1.33=7.98
x=7.98-5
7.98-5=2.98
Step-by-step explanation:
x=2.98
y=1.33
does anybody understand triangle angle theorems??
Answers
Answer:
It means that states that the three interior angles of any triangle add up to 180 degrees.
Have A Nice DAY!!!!!!
:-)
Lizzie invested $2,000 into an account that earned 5% interest per year. When she
cashed out the investment, it was worth a total of $2,205.
Create an equation (using the word bank) that describes Lizzie's investment based on t,
the number of years she kept the account open.
Word Bank:
1.05
0.05
$2.205
$205
t
$2,000
Answers
Step-by-step explanation:
The way to approach the problem is this
After one year she has 2000*1.05
After two years she has the money from the last year plus interest, so she has 2000*1.05*1.05
After t years she has 2000*1.05
PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.
2x + 4 3
B) x 1/3
D) x < 1/3
Answers
Answer: 2x + 43 is already solved and so is x 1/3 and x < 1/3
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
Answers
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
Jolene is cutting a strip of yarn that is 11/12 inch long into pieces that are 2/12 inch long for collage. How many complete pieces can she make?
Answers
Answer:
10.5/12
Step-by-step explanation:
Thats my guess from my math
Answer:
5 1/2
Step-by-step explanation:
1112÷16
Applying the fractions formula for division,
=11×6/12×1
=66/12
Simplifying 66/12, the answer is
=512
2. The set of whole number from 1 to 20
Set C = all the even numbers
Set D = all the multiples of 4
Answers
Answer:
c:2,4,6,8,10,12,14,16,18,20
Step-by-step explanation:
set d:4,8,13,15,20
10 points
3. Austin solved the equation as shown below. Which describes the error
that Austin made in his work?
Austin's Work:
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
A. Austin did not combine 7x and 8x correctly.
B. Austin did not combine -3 and -9 correctly.
C. Austin did not divide correctly
D. Austin did not make an error in his work.
Answers
Answer:
B. he didn't combine -3 and -9 correctly
The error that Austin made in his work is Austin did not combine -3 and -9 correctly.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that solved the equation -3 + 7x - 9 + 8x = 54 as shown below.
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
We need to check where did Austins has done wrong.
-3 + 7x - 9 + 8x = 54
15x-12=54
For Austin while combining -3 and -9 he got -6 which is wrong.
So Austin did not combine -3 and -9 correctly.
Hence, the error that Austin made in his work is Austin did not combine -3 and -9 correctly.
To learn more on Equation:
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which two perfect squares is 33.64 between
Answers
Answer:
5 and 6 or 25 and 36
Step-by-step explanation:
Clay thinks the next term in the sequence 2, 4,... is 6. Given the same pattern, Ott thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?
Answers
Clay and ott are correct but stacie is wrong.
What is an Arithmetic progression?An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…
Given here, the sequence as 2,4,6..... thus this is an arithmetic sequence with common difference 2 and therefore the subsequent terms are as follows : 2,4,6,8,18......
∴ Clay and Ott predicted correctly.
Hence, Clay and ott are correct but stacie is wrong.
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What is 8/9 - 1/18?
Thank you.
:)
Answers
Answer:
0.83 but draw a repeating bar over the 3
Step-by-step explanation:
plz help me with this problem I'm pretty confused.
Answers
Answer:
m∠1 = 40°
Step-by-step explanation:
Measures of angle 1 and angle 2 are examples alternate exterior angles. Alternate exterior angles are basically a pair of angles that are outside the parallel lines and are on opposite sides of the transversal. In other words, alternate exterior angles are congruent to each other.
Since we are given that measure of angle 2 is 40°. Measure of angle 1 has to be 40° because both angle 1 and angle 2 are alternate exterior angles.
Please help me answer this question:
Answers
Answer:
Total area = 141,
the trapezoid = 117, the triangle=24
which is the product of 7/9 and 6 in a fraction
Answers
Answer:
4 2/3
Step-by-step explanation:
7/9 multiplied by 6/1 = 42/9
Simplify: 14/3
Turn that into a mixed number: 4 2/3
fiind the value of x between 0 and 360
for question 5sin 2x=7cos2x
Answers
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
A rectangular garden is fenced on all sides with 272 feet of fencing. The garden is 8 feet longer than it is
wide. Find the length and width of the garden.
Pllzzzz help I will mark you as brainliest
Answers
Answer:
it should be 21 x 13
Step-by-step explanation:
What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?
Answers
Answer:
1 Remove parentheses.
{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x
4
(3x
2
−2)(4x
2
+5x)
2 Expand by distributing terms.
(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x
6
−2x
4
)(4x
2
+5x)
3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x
8
+15x
7
−8x
6
−10x
5
HELP!! HOWDO I SOLVE THIS??
Answers
Answer:
35 degrees
Step-by-step explanation:
a triangles angles add up to 180 degrees
if 4 is 35 degrees then what is 3
90 - 35 = 55
1 = 90
90 + 55 = 145
180 - 145 = 35
2 = 35 degrees
try math it helps alott
what is the square root of 27000
Answers
Answer:
164.316767252
Step-by-step explanation:
Answer:
164
Step-by-step explanation:
how do you estimate 17 1/5 divided by 3 4/5
Answers
Answer:
5
Step-by-step explanation:
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answers
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
Please help meeeeeee!!!!!! 4th time posting this
Answers
Answer:
70 cds in 2022
Step-by-step explanation:
each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.
250-175=75.
75/5=15.
15x7=105.
175-105=70.
in 2010 it was 250 and 250+150=400.
in 2000, it was y=400-15x
You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).
Answers
Answer:
Ok. Interesting.
Step-by-step explanation:
I think you forgot the question.
Brainliest appreciated!
What’s 0.83 answer when the 3 keeps repeating
Answers
Answer:
A decimal that never ends is called A repeating decimal or recurring decimal
