Answer:
[tex]y=\frac{3}{2}x+5[/tex]
Step-by-step explanation:
[tex]-6x+4y=20 \\ \\ 4y=6x+20 \\ \\ y=\frac{3}{2}x+5[/tex]
The perimeter of a rectangle is 48 centimeters, The relationship
between the length, the width, and the perimeter of the rectangle
can be described with the equation 2 • length + 2 • width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2. 3.6 centimeters
3. w centimeters
elmo makes sandwiches for a fundraiser. for each sandwich he uses globs of peanut butter at per glob and blobs of jam at per blob. the cost of the peanut butter and jam to make all the sandwiches is . assume that , , and are positive integers with . what is the cost of the jam elmo uses to make the sandwiches?
The cost of the jam Elmo uses to make the sandwiches =$1.65
What is the cost of the jam Elmo uses to make the sandwiches?
B globs of Peanut butter at 4 cents = 4B
J blobs of Jam at 5 cents = 5J
The number of sandwiches is given by the linear equation,
N(4B + 5J ) =$ 2.53
N(4B + 5J ) = 253 cents ---(1)
The factors of 253 = 1, 11, 23, 253.
Since N > 1 , N is 11 or 23
Considering N = 11
11(4B + 5J ) = 253
4B + 5J = 23 ---(2)
The possible values of B and J to satisfy the linear equation:
B = 2 and J = 3
Substituting B and J in (2)
4B + 5J = 23
4 (2) + 5(3) = 23
8 + 15 = 23
23 = 23
The linear equation is verified.
The cost of jam Elmo uses to make the sandwiches =N( 5J)
=11 (5*3)
= 11 *15
= 165 cents or $1.65
The complete question is:
elmo makes N sandwiches for a fundraiser. for each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that B, J, and N are positive integers with N>1. what is the cost of the jam elmo uses to make the sandwiches?
What is a linear equation?
Equations for straight lines are known as linear equations.As a one-degree equation, it also goes by that name. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1. In one variable and two variables, respectively, there are linear equations.To learn more about linear equations, refer:
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Please help me it is due today!
Answer: B
Step-by-step explanation:
The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.
The Busy Bee store bottles fresh jars of honey at a constant rate. In 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey.
Determine the constant of proportionality.
(HELP THIS IS OVERDUE !!)
Answer:
9
Step-by-step explanation:
because in one hour it fills 18÷2 =9.
Answer: It's 10 because 20* Divided by 2 is 10
Step-by-step explanation:
What is the relationship between the two highlighted angles?
Angles 1 and 2 are remote interior angles while angle 3 exists as a remote exterior angle. The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.
What is meant by triangle?The triangle exists a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.
Angles 1 and 2 are remote interior angles while angle 3 exists as a remote exterior angle. So there exists a property of a triangle in that the sum of the remote interior angles exists equivalent to the remote exterior angle.
∠1 +∠2 = ∠3.
Therefore, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.
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What are some organizations in the college Edward waters university?
Organizations in College Edward Waters University include
Accounting ClubEconomics ClubDelta Sigma Pi, Theta Omega ChapterGraduate Business Student Association (GBSA)Hilltop American Marketing AssociationWhere is the college Edward waters university?College Edward waters university was the first independent higher institution and black college located in Florida state of the United States of America.
The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.
Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning
Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.
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A line contains the points (-21,-94) and
(-34,-172).
What is the slope of the line in simplified form?
Algebraically solve for x: 7/2x-2/x+1=1/4
Step-by-step explanation: Check the photo
Answer:
x = -2
Step-by-step explanation:
7/(2x) - 2/x + 1 = 1/4
7/(2x) - 4/(2x) + 1 = 1/4
(7-4)/(2x) = 1/4 - 1
3/(2x) = 1/4 - 4/4
3/(2x) = - 3/4
3 = (-3/4)(2x)
3 = -6x/4
3*4 = -6x
12 = -6x
12/-6 = x
-2 = x
Check:
7/(2*-2) - 2/-2 + 1 = 1/4
7/-4 + 1 + 1 = 1/4
-7/4 + 2 = 1/4
-7/4 + 8/4 = 1/4
What is the total amount of the monthly payments for a $6,100, two-year loan with an APR of 5%? Round to the nearest dollar.
Based on the amount of the loan, and the number of periods as well as the APR, the total amount of the monthly payment would be $6,423.
How to find the total monthly payments?The monthly payments for the loan would be constant so they can be considered to be annuities.
The value of these annuities would be:
Present value of annuity = Annuity x ( 1 - (1 + rate)^-number of periods) / rate
6,100 = Annuity x (1 - (1 + 5%/12)⁻⁽²ˣ¹²⁾ / 0.05/12)
Annuity = 6,100 / 22.793898393955992921598741250451
= $267.62
The total monthly payment is:
= 267.62 x 12 x 2 years
= $6,423
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the quality control manager at a computer manufacturing company believes that the mean life of a computer is 99 months, with a standard deviation of 8 months. if he is correct, what is the probability that the mean of a sample of 69 computers would be less than 97.94 months? round your answer to four decimal places.
The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.
What is meant by probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place.
Let the given values be
[tex]\mu[/tex] = 99, [tex]$\sigma[/tex] = 8
Let x be the random variable that represents the life of a computer.
Sample size: n = 69
Then, the z-score corresponds to x = 97.94 will be :-
[tex]$z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$[/tex]
z = -1.10062
Required probability ( using standard z-value table ) :-
P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)
= 1 - 0.1170 = 0.883
Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.
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mary walked to school at an average speed of 2 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. if her total traveling time was 1 hour, what was the total number of miles in the round trip?
As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile
How to calculate total distance?We can calculate the total distance traveled by a body with position function s (t) if it moves along a coordinate line without changing direction from t = a to t = b. If the body changes direction during the journey, we must integrate the body's speed |v (t)| to find the total distance traveled.
Therefore,
We know Mary spent only a third of the time coming from school as she did going because she traveled three times as fast coming from school as she did going to school (6 miles per hour versus 2 miles per hour). If x represents the time it took her to get to school, then x/3 represents the time it took her to return.
Knowing that the total trip took 1 hour, we have:
x + x/3 = 1
3x/3 + 1x/3 = 1
4x/3 = 1
x = 3/4
So we know it took Mary 3/4 of an hour to get to school (and 1/4 of an hour to get home).
Remembering that distance = rate × time, Mary's commute to school was (2 miles per hour) × (3/4 of an hour) = 3/2 mile. Furthermore, because she returned via the same route, she must have traveled 3/2 of a mile.
As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile.
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You had $30 yesterday. You spent 20% of it today. How much money do you have left?
ANSWER
$24
EXPLANATION
You had $30 yesterday and you spent 20% of it today.
Since you spent 20% of it, the percentage you will have left is:
100 - 20 = 80%
So, you have 80% of $30.
That is:
[tex]\frac{80}{100}\cdot\text{ 30 = \$24}[/tex]You have $24 left.
deltamath i need answers fast
Answer:
To stay within budget, she must use 3.9 gigabytes.
Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."
The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.
If she wants to keep her bill at $74 per month, the equation can be set up as follows:
54.50 + 5x = 74
To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:
5x = 74 - 54.50
5x = 19.50
Finally, divide both sides by 5:
x = 19.50 / 5
Simplifying the division gives us:
x = 3.9
Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
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the gmat scores of all examinees who took that test this year produced a distribution that is approximately normal with a mean of 410 and a standard deviation of 33. the probability that the score of a randomly selected examinee is less than 370, rounded to three decimal places, is:
The probability that the score of a randomly selected examinee is less than 370 is 0.113
Mean of the gmat score = 410
Standard deviation of the deviation = 33
The randomly selected examinee be X ,
Thus X = 370
So , we need to find the probability that the score of a randomly selected examinee is less than 370 i.e.
P(X < 370)
Now , let us the z-score with normal distribution formula
Z = (X - μ) / σ
Z = (370 - 410) / 33
Z = -40 / 33
Z = -1.21
Thus P(X < 370) = P(Z < -1.21)
From the z - table , we can get that
P(Z < -1.21) = 0.11314
By rounding off to three decimals ,
P(Z < -1.21) = 0.113
Therefore , the probability of Z< -1.21 is 0.113
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Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?
The number of pages that Kamala needs to reach each day is p ≥ 30.
What is the number of pages that Kamala needs to read?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day can be equal to 235 or greater than 235
25 + 7p ≥ 235
Combine similar terms: 7p ≥ 235 - 25
Add similar terms: 7p ≥ 210
Divide both sides of the equation by 7: p ≥ 210 / 7
p ≥ 30
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please help!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I believe the answer is D!
solve for w: x=7w-8z-4
Answer:
W=x/7+ 8z/7 + 4/7
Step-by-step explanation:
Ple help me with Problems 2 & 3 ASAP
2) w = 16.5 mis the equation represents the relationship shown in the table.
3) The number of minutes is proportional to the number of pages, with a unit rate of 2.25 minutes per page is the best statement describes the relationship in the table.
How is a proportion determined?When determining if two ratios or fractions are equivalent, the proportion formula is utilized. We can calculate the missing value by dividing the given values. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, a:b::c: d = a/b = c/d.
2) Divide the number of gallons of water with number of minutes
66/4 = 16.5
So, the equation represents the relationship shown in the table is
w = 16.5 m
3) Divide number of minutes by number of pages, we get
9/4 = 2.25
13.5/6 = 2.25
So, option (B) best describes the relationship in the table.
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5 + 7(6 −4) − 2(5 − 1)
Answer: 11
Step-by-step explanation:
5 + 7(6-4) - 2(5 - 1)
P E M/D A/S
5 + 7(2) - 2(4)
P E M/D A/S
5 + 14 - 8
P E M/D A/S
11
Let the roots of the polynomial x^2 + 7x - 2 be a and b Evaluate a^2 + b^2.
First gets brainliest, ty!
Answer:
53
Step-by-step explanation:
You want the value of a^2 +b^2, given that 'a' and 'b' are roots of the polynomial x^2 +7x -2.
FactorsIf the roots are 'a' and 'b', then the factored form is ...
(x -a)(x -b) = x^2 -(a+b)x +ab
Comparing this to the given polynomial, we see that ...
-(a+b) = 7
ab = -2
Desired expressionThe expression a^2 +b^2 can be written as the sum ...
a^2 +b^2 = a^2 +2ab +b^2 -2ab = (a+b)^2 -2ab
Using the values of (a+b) and ab from above, we see that ...
a^2 +b^2 = (-7)^2 -2(-2) = 49 +4 = 53
The given expression has a value of 53.
Angel earned $70 mowing lawns, which is 140% of the amount George earned. How much money did George earn?
The total amount earned from mowing lawns by George is $50
How to determine the amount earned by George?From the question, we have the following parameters that can be used in our computation:
Earnings percentage = 140%
Angel total earnings in mowing lawns = $70
The amount earned from mowing lawns by George is then calculated as
Angel total earnings in mowing lawns = Earnings percentage x Total amount earned from mowing lawns by George
Substitute the known values in the above equation
So, we have
70 = 140% x Total amount earned from mowing lawns by George
Divide both sides by 140%
Total amount earned from mowing lawns by George = 50
Hence, the total amount is $50
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Which fraction is equivalent to3-3? - 1 27 1 1 27
Either by striding 80cm or by striding 70cm Anne takes an exact number of steps to cross the road find the least width of the road in meters
Exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.
As given in the question,
Anne takes exact number of steps to cross the road either by striding 80cm or by striding 70cm.
Conversion of the units
1 meter = 100 centimeters
1 centimeter = 1/100 meter
80 cm = 80 /100
= 0.8 meters
70 cm = 70 /100
=0.7 meters
Least width of the road is calculated by finding least common multiple of 0.8 meters and 0.7 meters
0.8 = 8 × (1/10)
0.7 = 7 × (1/10)
least common multiple = 7 × 8 × (1/10)
= 5.6 meters
Therefore, exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.
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4. multiple choice: as the sample size n increases, the distribution of sample means: a. becomes narrower b. remains constant c. becomes wider 5. multiple choice: according to the central limit theorem, the mean of the sample means is: a. less than the population mean b. the same as the population mean c. more than the population mean 6. multiple choice: according to the central limit theorem, the standard deviation of the sample means is: a. less than the population standard deviation b. the same as the population standard deviation c. more than the population standard deviation
The population mean, exists even comprehended as the average or mean of all values in a population, exist determined by summing all population values and dividing that total by the number of population values.
What is meant by the population mean?The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The sign μ stands for the population mean.
The population mean, also known as the average or mean of all values in a population, is determined by summing all population values (represented by the symbol X) and dividing that total by the number of population values (represented by the symbol N).
Therefore, the correct answer is option a. less than the population mean.
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Write an exponential function in the form y and (2,171). ab that goes through points (0,19)
The exponential function has the following form:
[tex]y=a\cdot b^x[/tex]The function goes through the points ( 0, 19) and ( 2, 171 )
We will use the points to find the values of a and b
[tex]\begin{gathered} x=0\rightarrow y=19 \\ \\ 19=a\cdot b^0 \\ b^0=1 \\ a=19 \end{gathered}[/tex]Substitute with the point ( 2, 171 ) and the value of a to find b
[tex]\begin{gathered} x=2\rightarrow y=171 \\ a=19 \\ \\ 171=19\cdot b^2 \\ \\ b^2=\frac{171}{19}=9 \\ \\ b=\sqrt[]{9}=3 \end{gathered}[/tex]So, the answer will be:
[tex]y=19\cdot3^x[/tex]Find the area of circle b 1.5 yd in terms of pi
In terms of π, the area of the circle is 2.25π yd².
What is the area of the circle?A circle is a sphere with no edges or bounds.The point from which all of the distances to the other points on the circle are equal is the center of the circle.The measurement in question is the circle's radius.A radius is a section of a line with one end in the circle's center and the other outside.So, the radius of circle(r) = 1.5 yd
The area of the circle is given by:
A = π r²A = π * 1.5²A = 2.25π yd²Therefore, in terms of π, the area of the circle is 2.25π yd².
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round your answer to the nearest tenth.
The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenths position if the number is five or above.
To what decimal place do you round?
Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. Remove all the numbers that are present after the tenth place if the value is less than 5, but keep the tenth place value in place otherwise. As an illustration, if you want to round up to the nearest.
Triangle Area Solver
A=hbb
2
b Base
Enter value
hb Height
Enter value
γ
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a computer is rendering two scenes. the computer has already rendered 540 thousand pixels of a kitchen scene and renders another 90 kpx each minute.
the computer has rendered 960 kpx of a garden scene and renders 60 kpx more pixels each minute
after how many more minutes will the scenes have the same amounts rendered?
A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.
As given in the question,
As per condition:
Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:
The expression for the kitchen is illustrated as 540 + 90t
Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute
The expression for the garden is illustrated as 960 + 60t
For the scenes have the same amounts rendered is given by :
540 + 90t = 960 + 60t
Collect like terms
90t - 60t = 960 - 540
⇒30t = 420
⇒t = 420/30
⇒t = 14
Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Which box-and-whisker plot matches the data?
5, 8, 4, 2, 5, 9, 7, 12, 4, 3
A.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1 unit markings. The box extends from 4 to 8, with the median at 6. There is also a point marked at six. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.
B.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 2-unit markings. The box extends from 4 to 8, with the median at 7. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.
C.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 2 to 12, with the median at 5. There are points marked at 2, 5, and 12.
D.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.
The box plot that matches the data is a box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.
What is a box and whisker plot?A box and whisker plot is a graph that is made up of two lines and a box. The two lines are known as whiskers. The end of the first whisker is the minimum value and the end of the second whisker is the maximum value.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
The data : 2, 3, 4, 4, 5, 5, 7, 8, 9, 12
Minimum = 2 Maximum = 12 First quartile = 1/4 x (10 + 1) = 5.5 term = 3.5Median = 5Third quartile = 3/4 x (10 + 1) = 8.25 term = 8To learn more about box and whisker plots, please check: https://brainly.com/question/27215146
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(middle school question) hey can someone please answer this with shown work please I have been stuck on it for like an hour
Answer:
1.95 hours or 1 hour and 57 minutes.
Step-by-step explanation:
You can read the problem as 13% of the battery. "Of" is a keyword that means to multiply.
The battery lasts 15 hours, so multiply by 13%. You need to change 13% to a decimal first by dividing it by 100, or moving the decimal left two places.
13% = 0.13
Now solve.
0.13 × 15 = 1.95
If you need to convert the 0.95 to minutes, multiply it by 60 since there are 60 minutes in an hour.
0.95 x 60 = 57 minutes.