Step-by-step explanation:
8x+6y=24
6y=24-8x
y=24/6 - 8/6x
y=4-4/3x
Laura completed the following steps to find a product.
Multiply: Three-sevenths times 8
Step 1: 8 times three-sevenths
Step 2: StartFraction (8 plus 3) over 7 EndFraction
Step 3: Eleven-sevenths
Step 4: 1 and four-sevenths
In which step did Laura make her first mistake?
Step 1
Step 2
Step 3
Step 4
The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying
Multiplication of fractions and integers
Fractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.
Given the following equation
Multiply 3/7 and 8
This is expressed mathematically as;
3/7 * 8
Step 1: Swap to have;
8 * 3/7
Step 2: Group the numerator
(8*2)/7
Step 3; Simplify
16/7
Step 4; Convert to mixed fraction
16/7= 2 2/7
The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying
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i need help i cant find the answer to this question
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
Answer:
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
is the que correct
Answer:
19.8x - 11.1y
Step-by-step explanation:
Given information:
Gain 25x yardsGain 0.9y yardsLose 12y yardsLose 5.2x yards"Gain" means to add the value.
"Lose" means to subtract the value.
Therefore, net yardage is:
⇒ 25x + 0.9y - 12y - 5.2x
Collect like terms:
⇒ 25x - 5.2x + 0.9y - 12y
Factor out the common variables x and y:
⇒ x(25 - 5.2) + y(0.9 - 12)
Carry out the operations in the parentheses:
⇒ x(19.8) + y(-11.1)
Therefore, the net yardage is 19.8x - 11.1y
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have? one zero two many
Answer:Many
Step-by-step explanation:
As the unknown cancels itself out, it could be absolutely any number. So there are many solutions.
What is the quotient of the given values to the correct level of precision? 16.017 in. ÷ 0.370 in. 43 43.289 43.29 43.3
Answer:43.289
Step-by-step explana
Function a (b) relates the area of a trapeze with a given height of 14 and a base length of 5 with the length of its other base. it takes the other base value as input and returns the trapeze area as output. what equation below represents the inverse function b (a), which takes the trapeze area as input and returns the length of the other base as an output?
The function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.
What is an area of a trapezoid?The function of the trapezoid area exists:
[tex]A(x)=(B+b)*h/2[/tex]
where B exists the bases
h stands the height.
Given a height of 14 and one base length of 5 with the length of its other base
With the given data:
h = 14B and b =5 and x (it may vary which one exists bigger)
So that function becomes:
[tex]$A(x)=(5+x)*14/2[/tex]
A(x) = (5 + x) [tex]*[/tex] 7
So if you want the inverse function, to find the value of x:
A(x) / 7 = 5 + x
A(x )/ 7 - 5 = x
Therefore, the function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.
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Which is the greatest fraction in this list? 1/2,3/4,5/8,11/16
Answer:
3/4
Step-by-step explanation:
multiply each fraction by 100 or you could find the LCM
Solve the following system using the algebraic method of substitution. Verify your solution.
x + 2y = -5
3x - y = -1
Solve the following linear system using the algebraic method of elimination. Verify your solution.
x + 2y = 2
3x + 5y = 4
Solve the following linear system algebraically. State why you chose the method you used.
x + 3y = 7
2x + 4y = 11
Answer: Look into step by step
Step-by-step explanation:
1. Multiply the second equation by 2; 6x - 2y = -2 then add to first equation
7x = -7 so x = -1, substitute x = -1 into the first equation -1 + 2y = -5 so y = -2
2. Multiply the first equation by 3; 3x + 6y = 6 then subtract it by second equation
y = 2, substitute y = 2 into first equation, x + 4 = 2, x = -2
3. Multiply the first equation by 2; 2x + 6y = 14 then subtract it by second equation
2y = 3 so y = 1.5, substitute y = 1.5 into the first equation x + 4.5 = 7, x = 2.5
I chose this method as it is easy
Use the elimination method to solve each linear system.
1) 2x-9y=-55 and x+2y=18
2) 3x+2y=7 and 6x-6y=-6
3) 6x+10y=2 and 7x+4y=-13
4) 3x+2y=5 and x-2y=-1
Abby mixes cinnamon and nutmeg to make 25g of a spice mix. Cinnamon costs 9 cents per gram, and nutmeg costs 12.5 cent per gram. The spice mix costs 9.7 cents per gram. How much of each spice does Abby need to use?
Answer:
1) x=4, y=7
2) x=1, y=2
3) x=-3, y=2
4) x=1, y=1
word problem) 5g of nutmeg and 20g of cinnamon
Step-by-step explanation:
1)
2x-9y=-55
2(x+2y) = 2x+4y = 36
(2x+4y)-(2x-9y)=36-(-55)
13y = 91
y = 7 so x = 4
2)
2(3x+2y) = 6x+4y = 14
6x-6y=-6
(6x+4y)-(6x-6y) = 14-(-6)
10y = 20
y = 2 so x = 1
3)
2(6x+10y) = 12x+20y = 4
5(7x+4y) = 35x+20y = -65
(35x+20y) - (12x+20y) = -65-4
23x = -69
x = -3 so y = 2
4)
just add them
(3x+2y)+(x-2y) = 5+(-1)
4x = 4
x = 1 so y= 1
last)
c+n = 25
9c + 12.5n = 25*9.7 = 242.5
9(c+n) = 9*25
9c+9n=225
9c+12.5n - 9c-9n = 242.5-225
3.5n = 17.5
n = 5 so c = 20
5g of nutmeg and 20g of cinnamon
True or False: When x-coordinates are selected to create a table of values for a function, negative values of x may not be used.
[tex] \sf \blue{True✅}[/tex]
Step-by-step explanation:Yes, it's true sometimes we don't use negative value of 'x'.
So, we conclude it's True.
Hope it help youPLEASE ANSWER!!
A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 record??
Answer: 5 games
Step-by-step explanation: They need to win half their games for a .500 record and half or 30 is 15. They already won 10 so they need to win 15- 10 = 5 more games to have a .500 record.
What are the parts of an algebraic expression, and how do they relate to polynomial expressions?
The parts of algebraic expressions related to polynomials are variables and coefficients.
What are the parts of algebraic expressions?The parts of algebraic expressions are;
Variables which are letters that represent numbersCoefficients are numbers that multiply the variables Constant is a number that is not multiplied by any variablePolynomials are algebraic expressions composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, and multiplication
Polynomials consists of variables and coefficients. The variables in polynomials are also called indeterminates. The coefficients also multiply this variables.
Thus, the parts of algebraic expressions related to polynomials are variables and coefficients.
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What is the twentieth term in the sequence 23, 43, 63, 83 …?
Answer:
403 (hope this helps)
Step-by-step explanation:
. What is the midpoint of a line segment connecting the points (−4,6) and (8,2)?
2
5. One flight took a total of 4.6 hours. Write this number as a mixed number
and as an improper fraction. Show your work in the space below. Remember
to check your solution.
Step-by-step explanation:
4.6 hrs is 46over 10 which is
13 over 5 or 2 and 3over 5
It takes a machine at a seafood company 20 s to clean 3 1 ib of shrimp _ 3
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:
Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
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find the equation of a line that passes through the point (4, 3) and is parallel to the line 2x-2y=11
Answer:
The slope of the line would be y=x-1
Step-by-step explanation:
y=x-1
Subsite
3=4-1
3=3 True,
Thus y=x-1
What is the general form of the equation for the given circle centered at o(0, 0)? a. x2 y2 41 = 0 b. x2 y2 − 41 = 0 c. x2 y2 x y − 41 = 0 d. x2 y2 x − y − 41 = 0
The general form of the equation for the given circle centered at o(0, 0) is x² + y² - 41 = 0.
According to the question,
The general form of the equation for the given circle centered at o(0, 0) is (x-h)² + (y-k)² = r².
The given equation is x² + y² - 41 = 0 which is also represented by(x-0)² + (y-0)² = -(√41)². This is not possible.
The given equation is x² + y² - 41 = 0 which is also represented by (x-0)² + (y-0)² = (√41)²This means that the circle is centered at (0,0). Thus, the equation is correct The given equation is x² + y² +x+ y- 41 = 0 which is also represented by (x+1/2)² + (y+1/2)² = (√(83/2))²This means that the circle is centered at (-1/2,-1/2). Thus, this equation is incorrect. The given equation is x² + y² +x- y- 41 = 0 which is also represented by (x+1/2)² + (y-1/2)² = (√(83/2))²This means that the circle is centered at (1/2,-1/2). Thus, this equation is incorrect.Hence, the general form of the equation for the given circle centered at o(0, 0) is x² + y² - 41 = 0.
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Find the volume of the following cubes: (b) 15 m 18.4 ft Find the volume of each of cubes whose a side length is given as: (b) (c) 5.6 ft (f) 12 m 80 cm (a) 5 cm (d) 4.5m Solve (e) (c) 4.2 inch 4 m 20 cm
Answer:
Step-by-step explanation:
Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.
Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.
Paul Pelosi was slurring and unsteady on his feet as he spoke to police officers and tried to show them a membership card for a foundation that has long provided money to local police officers and their children.
According to Fox News, the Napa County District Attorney's Office in California said on Monday that Paul Pelosi, the husband of House Speaker Nancy Pelosi, will be arraigned on Wednesday morning. The charges are driving under the influence and causing injury while driving with a blood-alcohol level of 0.08 percent or higher.
Answer:
Step-by-step explanation:
Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.
Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.
Paul Pelosi was slurring and unsteady on his feet as he spoke to police officers and tried to show them a membership card for a foundation that has long provided money to local police officers and their children.
According to Fox News, the Napa County District Attorney's Office in California said on Monday that Paul Pelosi, the husband of House Speaker Nancy Pelosi, will be arraigned on Wednesday morning. The charges are driving under the influence and causing injury while driving with a blood-alcohol level of 0.08 percent or higher.
The district attorney said the misdemeanor charges against Paul Pelosi were filed "based on the extent of the injuries sustained by the victims."
Us media said that either Paul Pelosi or his lawyer would enter a plea at his arraignment on Wednesday. According to the Napa County District Attorney's Office, misdemeanor penalties for driving while intoxicated and causing injury include up to five years of probation, a minimum of five days in jail, a fine, completion of a court-ordered DUI course, and more.
After her husband s car accident, the US media reported that her brother was killed in a car collision when she was still a teenager. In 1957, Paul reportedly crashed his car near SAN Mateo County at 16. Paul suffered a broken collarbone in the crash, while his elder brother was pronounced dead on arrival at the hospital. Paul, then 16, was acquitted by a jury.
His past skeletons in closet don't stop there. Public data shows that Nancy Pelosi has more than $114 million net worth. Reports indicate that much of that comes from Mr. Paul's holdings of stocks, options, and investments.
Phillippe wants to drink at least 72 ounces of water every day while at work. He works 6 hours a day. How many ounces of water must Phillippe drink each hour? Write and solve an inequality to answer the question.
Answer:
the answer to this question is 12
Step-by-step explanation:
72÷6=12
If y = -9 when x = 3, find y when x = -6. when x = -5.
Answer:
When x is -6, y will be 18
When x is -5 y will be 15
Step-by-step explanation:
Create a proportion
y/x
-9/3 = x/-6 What do we need to multiply 3 by to get 6? -2, so we will multiply -9 by -2 to get 18
Some people like to solve by cross multiplying.
That would give us
(-9)(-6) = 3x
54 = 3x divide both sides by 3
18 = x
Set up the second problem as a proportion
-9/3 = x/-5 This is a little trickier. I am trying to think what I have to multiply 3 by to get -5. 3(-5/3) will give me -5, so I will multiply the top number that I know (-9) by (-5/3) to find my x.
(-9)(-5/3) = 45/3 or 15
A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total number of cupcakes made?
A. x/109
B. 109/x
C.109x
D.109+x
Answer:
C. 109x
Step-by-step explanation:
We know that there are 109 students in the fourth grade, who each have x cupcakes. In order to find the total amount of cupcakes, we could add all of the cupcakes together to get:
x + x + x + x + .... x
109 times because there are 109 students.
This can be simplified to become 109x.
What transformation of the parent function f(x) is made to get 4f(x+2)?
A. a vertical stretch by 4 and 2 units in the x-direction
B. a vertical stretch by 4 and horizontal shrink by 1/2
C. a vertical stretch by 4 and -2 units in the x-direction
D. a vertical stretch by 4 and horizontal shrink by 2
The correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.
Given a function f(x) and other function 4f(x+2).
We are required to choose a transformation that will give 4f(x+2) from a function f(x).
Function is like a relationship between two or more variables that are expressed in equal to form. The values which we enter in a function is known as domain and the value that we get as a result are known as range.
So, we have to reach 4f(x+2) from f(x).
The value of function is usually expressed on y axis and variable x on x axis.
To increase the value of x by 2 we have to stretch it in x direction.To find the 4 times value of function we have to stretch the y axis to 4 units.
Hence the correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.
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Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. which shows the correct substitution of the values a, b, and c into the quadratic formula? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction
Answer:
Step-by-step explanation:
0= x2 – 2x – 3
a = 1, b = -2 and c = -3.
Answer:
A on edge
Step-by-step explanation:
Give me the brainiest please
Which graph shows the solution to this system of inequalities y < - 1/3 x + 1
Answer:
See attached image.
Step-by-step explanation:
The image does not show the graph options. The attachment sjhhows the graph of y < - 1/3 x + 1.
Situation:
A student in Greece discovers a pottery
bowl that contains 65% of its original
amount of C-14.
N = Noe-kt
No inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Find the age of the pottery bowl to the nearest
year.
Enter the correct answer.
000
?
DONE
The age of the pottery bowl to the nearest year is 4307 years. Using exponential decay or growth formula, the required value is calculated.
What is the formula for exponential growth/decay?The formula for the exponential growth/decay is
[tex]N=N_0e^-^k^t[/tex]
Where,
N - the total amount after time t
N₀ - the initial amount
k - growth or decay rate
t - time
Calculation:It is given that,
A student in Greece discovers a pottery bowl that contains 65% of its original amount of C-14.
⇒ N(t) = 0.65N₀
But we have k = 0.0001.
Then,
[tex]N(t)=N_0e^-^k^t[/tex]
0.65 N₀ = N₀ [tex]e^{-(0.0001)t}[/tex]
⇒ 0.65 = [tex]e^{-(0.0001)t}[/tex]
⇒ ln [tex]e^{-(0.0001)t}[/tex] = ln 0.65
⇒ -(0.0001)t = -0.4307
⇒ t = 0.4037/0.0001
∴ t = 4307 years.
Thus, the age of the pottery bowl is 4307 years.
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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon?
The approximate area of the hexagon = 672 cm²
What is hexagon ?
In geometry, hexagon is a polygon with 6 sides. If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon. In other words, sides of a regular hexagon are congruent.apothem of the hexagon = 14 cm
perimeter of the hexagon = 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²
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Answer: D). 672 cm2
Step-by-step explanation:
My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?
The number of cats is an illustration of inequalities and your neighbor has 4 cats before she bought the 2 new cats
What are inequalities?Inequalities are expressions, numbers and mathematical statements that have unequal values when compared and/or evaluated
How to determine the number of cats?We start by representing the initial number of cats with x.
From the question, the new cats she bought are
New = 2
So, we have
x + New greater than 5
Rewrite properly as
x + New > 5
Substitute known values in the above inequality
x + 2 > 5
Subtract 2 from both sides
x + 2 - 2 > 5 - 2
Evaluate the right-hand side
x + 2 - 2 > 3
Evaluate the left-hand side
x > 3
The smallest integer number greater than 3 is 4
Hence, your neighbor has 4 cats before she bought the 2 new cats
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i need help with this ;n;
The total cost of gasoline varies directly with the number of gallons purchased. kathy pays $23.36 for 16 gallons of gasoline. which equation shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n?
Equation (A) C= 1.46n shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n.
What is an equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.To find the right equation:
In order to find the constant rate, we would divide 23.36/16 which gives you 1.46. That is the price of 1 gallon which would change depending on the amount of falling a purchased (n) and give you the total price of (C).So, C=1.46nTherefore, equation (A) C= 1.46n shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n.
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The complete question is given below:
The total cost of gasoline varies directly with the number of gallons purchased. Kathy pays $23.36 for 16 gallons of gasoline. Which equation
shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n?
A.C= 1.46n
B. n = 1.46c
C.C = 23.361
D. n = 23.36c
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the 6 months before the exercise program began and in the 6 months following the exercise program. Following are the results.
Employee Before After
1 7 7
2 7 1
3 2 6
4 5 4
5 7 3
6 6 3
7 4 1
8 1 4
At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.
a. State the decision rule for 0.1 significance level: H0 : μd ≤ 0; H1 : μd > 0. b. Compute the value of the test statistic.
c. Estimate the p-value? d. What is your decision regarding H0?
The hypothesis is given as
H0: μd< 0
H1: μd > 0
How to solve for the hypothesis.The null hypothesis is given as
H0: μd< 0
The alternative hypothesis is given asH1: μd > 0
SWe have to find the value of s
we would use this formula s = sqrt [ (Σ(di - d)^2 / (n - 1) ]
This gives us 3.454
Next we have to determine the standard error
s / √(n)
3.454/2.8284
= 1.22
Degree of freedom = 8 - 1
= 7
t = (x1 - x2) - D / S.E
= 1.025
Find t critical at 0.10
= 1.895
P-value = 0.1697
d. Given that p value is greater thatn 0.1 we fail to reject the null hypothesis.
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