Answer:
$840.77
Step-by-step explanation:
(x-5)/3=21 What is equal to x
Answer: x=68
Step-by-step explanation:
(x-5)/3=21
(x-5)*3/3=21*3 ==> Multiply both sides by 3 to remove fractions
x-5=21*3
x-5=63
x+5-5=63+5 ==> Add 5 on both sides to isolate the x variable
x=63+5
x=68
Let's solve the problem,
→ (x - 5)/3 = 21
→ x - 5 = 21 × 3
→ x = 63 + 5
→ [ x = 68 ]
Hence, the value is 68.
The sum of two consecutive even integers is 46. Find the integers.
Answer:
22, 24
Step-by-step explanation:
Hello!
Consecutive integers are integers that come after each other. We want to find two consecutive even integers that when added give us 46.
Let the first consecutive even integer be x. Since even integers come every 2 integers (even, odd, even), the second even integer should be x + 2.
Solve for xx + x + 2 = 462x + 2 = 462x = 44x = 22That means x + 2 should be 24.
The two numbers are 22 and 24.
9. The graph represents the path of a football kicked by a player, where x is the horizontal
distance (in yards) and y is the height (in yards). The player kicks the ball a second time
so that it travels the same horizontal distance, but reaches a maximum height that is 6
yards greater than the maximum height of the first kick. Write a function that models
the path of the second kick.
y=-0.02(x - 30)2 + 18
The function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to write a function that models the path of the second kick?The function that models the path of the first kick is given as
y = -0.02(x - 0.30)^2 + 18
A quadratic function is represented as
y = a(x - h)^2 + k
Where
Vertex = (h, k)
In this case, the interpretation of the vertex is
Vertex = (Horizontal distance, Maximum height)
Using the above as a guide, we have
Vertex = (30, 18)
This means that
Horizontal distance = 30
Maximum height = 18
For the second ball, we have
Same horizontal distanceMaximum height is 6 yards greater than the maximum height of the first kickThis means that
Horizontal distance = 30
Maximum height = 18 + 6
Evaluate
Horizontal distance = 30
Maximum height = 24
So, the function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24
Hence, the function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24
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what is the parent function f(x)=2x^2+3x-4
Answer:
x^2
Step-by-step explanation:
it's a quadratic equation so the parent function is x^2.
How much money do you save by purchasing the vanilla cupcakes in a dozen Pak versus buying 12 individual cupcakes? $11.53 for dozen pack and twelve individual cupcakes is $2.15
Answer:
You save $ 14.27
Step-by-step explanation:
12 dozen = 11.53
2.15 x 12 = 25.80
25.80 - 11.53 = 14.27
Given g(x)=-4x-4g(x)=−4x−4, find g(-2)g(−2)
please help
please hurry
The turning point of the equation of the graph f(x) = |x - 4| is (4, 0)
How to determine the turning point of the graph?The equation of the graph is given as
f(x) = |x - 4|
The above equation is an absolute value function
An absolute value function is represented as
f(x) = a|x - h| + k
Where the vertex is
Vertex = (h, k)
The vertex also represents the turning point of the absolute value function
From the given equation, we have
(h, k) = (4, 0)
Hence, the turning point of the graph is (4, 0)
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A company spends $20 million dollars for an office building. Over what period should
the cost be written off?
Answer:The cost should be 300,000 dollars
Step-by-step explanation:
Can someone please help me :(?
Simplify and combine like
terms:
-2 x+14-20-8x
Answer:
-10x-6
Step-by-step explanation:
and simplify and add
What is the justification for each step in the solution of the equation?
23x−13=2(x+2)
23x−13=2(x+2) Given
2x−1=6(x+2)
2x−1=6x+12
2x=6x+13
−4x=13
x=−134
The justification for each step in the solution of the equation are as follows:
2/3x − 1/3 = 2(x + 2) -- GivenBy the multiplication property of an equation: 2x − 1 = 6(x + 2)By the distributive property of an equation: 2x − 1 = 6x + 12Collect and evaluate the like terms: 2x = 6x + 13By the subtraction property of an equation: −4x = 13By the division property of an equation: x =−13/4How to determine the justification for each step in the solution of the equation?The equation is given as
23x − 13 = 2(x + 2)
Based on the solutions, we can rewrite the given equation as follows
So, we have
2/3x − 1/3 = 2(x + 2)
So, the justification for each step in the solution of the equation are as follows:
2/3x − 1/3 = 2(x + 2) -- Given
By the multiplication property of an equation, we have
2x − 1 = 6(x + 2)
By the distributive property of an equation, we have
2x − 1 = 6x + 12
Next, we collect and evaluate the like terms
2x = 6x + 13
By the subtraction property of an equation, we have
−4x = 13
By the division property of an equation, we have
x =−13/4
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Last year, Suzie's salary was $76,000. This year, she is getting a 8% raise. What will her new salary be?
[tex]76000\times1.08=\boxed{82,080}[/tex]
Answer:
82,080
Step-by-step explanation:
To increase a number by it's percentage, you must first extract what 8% of 76,000 is (6080). Then, you must add the original number to what is 8% of it, to get 82,080, and that, is the final answer.
Computing a percent mixture
A chemist mixes 225 milliliters of a solution that is 39% acid with 25 milliliters of a solution that is 19% acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
milliliters
(b) What percentage of the resulting mixture is acid?
0%
Part a: Resulting mixture: 92.2 milliliters.
Part b: Percentage of acid in the resulting mixture = 36.88%.
What is defined as the percentage?A percentage is a segment of a whole represented as a number between 0 or even 100 instead of as a fraction. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the fraction of the total by the total and multiply by 100.Part a: Find the both values from the given percentage;
225 millilitres of a solution contains is 39% acid.
39% of 225 = (39×225)/100 = 87.75 millilitres.
Now, 25 milliliters of a solution contains is 19% acid.
19% of 25 = (19×25)/100 = 4.75 millilitres.
Mixture solution = 87.75 + 4.75
Mixture solution = 92.2 milliliters of acid.
Part b: percentage of the resulting mixture is acid.
92.2 milliliters of the total 250 milliliters is acid.
= 92.2/250 × 100
= 36.88 %
Thus, 36.88% of the the resulting mixture contains acid.
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Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
The INEFFICIENT point of production in the given graph is represented by Point A , the correct option is option (a).
The given graph is for skateboards vs Bikes .
We need to find the point representing the Inefficient Point of Production.
The Production Possibility Curve points are said to be Inefficient when the resources are not utilized to the fullest.
In the given Production Possibility Curve between Skateboards and Bikers the point A is the inefficient point of production .
Therefore , the Inefficient point of production in the given curve is represented by Point A , the correct option is option (a)
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Evaluate the problem
Answer:
400
Step-by-step explanation:
Change the 16 and the 64 in the numerator to exponents
2^4 x 10^2 x 4^3/2^4 x 4^2
Simplify
10^2 x 4
100 x 4
Given the equation y = 3x + 7, which word(s) best describes the 3? Select all that apply.
*
A. slope
B. y-intercept
C. x-intercept
D. coefficient
E. constant
The slope ( option A) best describes the number 3.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for [tex]\frac{\Delta y}{\Delta x}[/tex].
b= the constant term that represents the y-intercept.
For the given example: a=7 and b=2.
The equation of the question is y=3x+7, when you compare this equation with the standard form for the linear equation is: y= ax+b. You find that a=3, where a represents the slope.
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A manufacturer of household items has total revenue given by the function R=16.5x and has total cost given by C=14x+400, where
x is the number of items produced and sold. Use graphical methods to find the number of units at which the manufacturer will break
even for the product.
The number of units that gives break even for the product is
(Simplify your answer.)
If total revenue given by the function R=16.5x and has total cost given by C=14x+400, where x is the number of items produced and sold then the number of units that gives break even for the product is 160.
What is function?In mathematics, a function is an expression, rule, or law that specifies a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are commonplace in mathematics and are required for expressing physical relationships in the sciences. The present concept of function was proposed by German mathematician Peter Dirichlet in 1837.
If a variable y is so tied to a variable x that there is a rule that determines a unique value of y whenever a numerical value is assigned to x, then y is referred to as a function of the independent variable x.
If the manufacturer will break even for the products then
Revenue = Cost
F(R) = F(C)
14x+400 = 16.5x
On solving the equation
16.5x - 14x = 400
2.5x = 400
x = 400/2.5
x = 160
In the graph the value of x is 160 as well
Thus, to break the product even the number of units =
160
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HELP
The scatterplot for age in months and number of diaper changes per day is shown.
Part A: Estimate and interpret the correlation coefficient. (5 points)
Part B: Create an influential point for this graph that would cause the correlation to decrease. Explain your reasoning.
Answer:
Here's an answer to part of your question.
Step-by-step explanation:
The older the kids get, the less you have to change their diapers. Therefore, that is why the graph is going down
Evaluate (a - 4b)2 + 2a if a = 15 and b = 3.
Answer:
9
Step-by-step explanation:
(a-b)^2=a^2-2ab+b^2
(15-12)^2=9
Answer: 96
Step-by-step explanation:
Plug in a and b. so, (15-4(3))2+2(15). so (15-12)2+30. (3)32. Answer is 96.
The sidewalk around a lake is 9/10 mile long. You walk 3 laps Around the lake in the morning and 2 laps in the evening. Your friend walks the same total distance as you on a 1 1/2 mile track. How many laps does your friend walks?
The total laps your friend runs is 3.
How many laps does your friend run?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
A proper fraction is a fraction where the numerator is less than the denominator. A mixed fraction is a fraction that is made up of a whole number and a proper fraction.
The first step is to determine the total miles you run
Total miles run = length of the side walk x total number of laps
9/10 x (3 + 2)
9/10 x 5 = 45 / 10 = 4.5 miles
The second step is to determine the total number of laps she runs:
4.5 miles / 1 1/2 miles
4.5 / 1.5 = 3 laps
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The coldest temperature ever recorded in Mathville was -19°F. This happened on January 30th, 1955. The normal low for that day is 10°F.
How much colder was the record temperature than the normal low temperature?
Answer:
-29⁰F
Step-by-step explanation:
Because -19-10=-29.
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Plant Assets? Specify as a whole number.
The amount to report for Plant Assets in the Classified Balance Sheet of the company is $24,600
What are plant assets?
Plant assets are long-term fixed assets used to manufacture or sell products and services for Adventure Travel. These assets are of tangible nature and of monetarily benefits to the company for more than one accounting year.
The only plant assets in this case is the office equipment bearing in mind that it has a contra entry, in other words, the $29,600 is the cost of the office equipment , we need to deduct the accumulated depreciation on it so as to determine its current book value
plant assets=$29,600-$5,000
plant assets=$24,600
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Please help what is 8.9 divided
by 0.4
Answer:
8.9 ÷ 0.4 = 22.25
so the answer is 22.25
hope this helps
Answer:
22.25 is your answer
Step-by-st
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
The small will grow 19/4 inch in 3 weeks and the method which will not give the correct inches will be the first option which is
multiply [tex]2\frac{1}{2} * 3[/tex] and then add 3/4.
According to the question we have been given that
The height of the small plant = [tex]2\frac{1}{2}[/tex] inch
In 1 week the plant grows = [tex]\frac{3}{4}[/tex] inch
We need to find the height of the small plant after 3 weeks.
For that we will first find how much tall it will be in 3 weeks using unitary method that is,
1 week = [tex]\frac{3}{4}[/tex] inch
3 week = [tex]\frac{3}{4}[/tex] * 3 inch
= 9/4 inch
Therefore the height of the small plant after 3 weeks will be
[tex]=2\frac{1}{2} + \frac{9}{4} \\= \frac{5}{2} + \frac{9}{4}\\= \frac{10+9}{4} \\= \frac{19}{4}[/tex]
hence the height is 19/4 inch
And the method which will not give the correct number of inches is the first option which is
multiply [tex]2\frac{1}{2} * 3[/tex] and then add 3/4.
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PLS ANSWER 50 POINTS Simplify 6-3/6-4
The expression 6-3/6-4 after simplification will look like 1.5.
Given that the expression is 6-3/6-4.
We are required to find the value after simplification.
Simplification or simplify fractions basically means to simplify a complicated mathematical expression to get a single or direct answer.
We have to use BODMAS rule for the simplification. The full form of BODMAS is Brackets, Open, Division, Multiplication,Addition and Subtraction. Simplication is nothing but to reduce the expression.
The expression is 6-3/6-4.
We have to do division first.
6-3/6-4 =6-0.5-4
Now we have to do subtraction now.
6-0.5-4=5.5-4=1.5
Hence the expression 6-3/6-4 after simplification will look like 1.5.
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Colton bought some strings of beads. The number of strings was 10 more than the number of beads on each string. There were 119 beads in all. How many strings of beads did Colton buy?
Answer: 17 strings
Step-by-step explanation:
let the number of strings be a
let the number of beads on each string be b
a − b = 10 (first equation)
a × b = 119 (second equation)
From the first equation:
a = 10 + b
substitute first equation into second equation
b × (10 + b) = 119
10b + b² − 119 = 0
b = 7 or b = -17 reject -17
a − 7 = 10
a = 17
There are 6 black marbles and 4 red marbles in a jar. If you add 4 red marbles to the jar, how many black marbles do you need to add to keep the ratio of black marbles to red marbles the same?
You need to add 6 red marbles for the ratio to stay the same
How many black marbles do you need to add?The given parameters are:
Black = 6
Red = 4
Represent as ratio
Ratio = Red : Black
This gives
Red : Black = 4 : 6
When you add 4 red marbles, we have:
4 + 4 : 6 + x = 4 : 6
Where x represents the additional number of black marbles
This gives
8 : 6 + x = 4 : 6
Multiply 4 : 6 by 2
So, we have:
8 : 6 + x = 8 : 12
By comparing both sides, we have
6 + x = 12
This gives
x = 6
Hence, you need to add 6 red marbles for the ratio to stay the same
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During a person's commute to school, she spends 12 minutes driving 35 mph and 3 minutes stopped at red lights. What is the person's average
speed during her commute?
Step 1 of 2: First, find the distance of her commute.
The average speed of person during her commute is 28 miles/ hour.
What do you mean by average speed ?
The entire distance that an object travels in a given amount of time is defined as the average speed for that object.
Total time of driving is 12 minutes.
This can be written as hours which will be :
= 12 / 60
= 1/5 hour
Time of stopping at red lights is 3 minutes and speed is 35 miles per hour.
So , the total distance using the formula will be :
Total distance = Speed × time
Here , the time taken will be equal to :
= [(12 + 3) / 60]
= 15 / 60
= 1/4 hour
So ;
Total distance = 35 × (1/4 hour)
Total distance = 7 miles
And the average speed will be ;
Average speed = Distance / Time
or
Average speed = 7 miles / (1/4) hour
Average speed = 7 × 4 miles/hour
Average speed = 28 miles / hour
Therefore , the average speed of person during her commute is 28 miles/ hour.
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Mrs. Thomas needs
to set up 5 rows of 3
marsh mellows. She
has 12 marsh C EX
mellows. Does she
have enough marsh
mellows?
A. No, she needs 20 marsh mellows
B. No, she needs 15 marsh mellows
C. Yes, she needs 10 marsh mellows
D. Yes, she needs 8 marsh mellows
The difference between the square of c and the total of c and 14
The given statement written as a mathematical expression is c² - c + 14
Writing an expressionFrom the question, we are to write the given statement as a mathematical expression
The given statement is
"The difference between the square of c and the total of c and 14"
The square of c is
c²
and
The total of c and 14 is
c + 14
Thus,
The statement becomes
c² - c + 14
Hence, the given statement written as a mathematical expression is c² - c + 14
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this question has 2 parts:
Part A
Callie kicks a soccer ball from the ground. The height of the ball, in feet, above the ground t seconds after the ball is kicked can be represented by the expression 38t- 16t². Write the expression in factored form.
Part B
What is the height of the soccer ball 1.25 seconds after Callie kicks it?
______ feet
Part A The quadratic expression in factored form is 2t(19 - 8t)
Part B The height of the soccer ball 1.25 seconds after Callie kicks it is 22.5 ft
Part A Write the expression in factored form.Since Callie kicks a soccer ball from the ground. The height of the ball, in feet, above the ground t seconds after the ball is kicked can be represented by the expression 38t- 16t².
So, the expression is a quadratic expression, we have that h(t) = 38t- 16t².
To write the expression in factored form, we find the common factors of both terms and factor them out.
So, h(t) = 38t- 16t²
= 2 × 19 × t - 2 × 8 × t × t
Factoring out 2 and t, we have
= 2 × t × (19 - 8 × t)
= 2t(19 - 8t)
So, the quadratic expression in factored form is 2t(19 - 8t)
Part B What is the height of the soccer ball 1.25 seconds after Callie kicks it?Since the quadratic expression h(t) = 38t- 16t² represents the height of the ball above the ground in feet, to find the height of the ball after 1.25 second,we substitute t = 1.25 s into the expression.
So, h(t) = 38t- 16t²
h(1.25) = 38(1.25) - 16(1.25)²
h(1.25) = 47.5 - 16(1.5625)
h(1.25) = 47.5 - 25
h(1.25) = 22.5 ft
So, the height of the soccer ball 1.25 seconds after Callie kicks it is 22.5 ft
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