Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)
A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes
Answer:
Cost of the computer before taxes is $1299.
Step-by-step explanation:
Let the price of the computer before taxes is = $x
Tax rate on this computer = 7%
Therefore, computer cost including tax = (x + 7% of x)
= [tex]x+\frac{7x}{100}[/tex]
= x + 0.07x
= $(1.07x)
Cost of the computer including tax is given as $1389.93.
Therefore, 1389.93 = 1.07x
x = [tex]\frac{1389.93}{1.07}[/tex]
= $1299
Cost of the computer before taxes is $1299.
Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π
Answer:
200.96 square inches
Step-by-step explanation:
I took a quiz with this question and I got an A
Find the midpoint of modifying above AB.
(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)
Answer: Im guessing B. (1.5, 1.5)
Once I enter my test ill come back and edit.
Its correct! good luck on your test! :)
Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d
Answer:
Option D: 25 + d
Step-by-step explanation:
Kelly is having money in her purse = $25
Dante has in his wallet = $d
By adding both value we can get the total amount that Kelly and Dante have.
Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.
Option D: 25 + d is the answer.
What's 17= z- (-9) days
The calculated value of z in the equation 17 = z - (-9) is 8
How to determine the value of z in the equation
From the question, we have the following parameters that can be used in our computation:
17 = z - (-9)
When the bracket is evaluated, we have
17 = z + 9
So, we have
z = 17 - 9
Evaluate
z = 8
Hence, the value of z in the equation is 8
Evaluate A2 for A = -3.
Answer: The required value of A² is 9.
Step-by-step explanation: We are given the following value of a variable A :
[tex]A=-3.[/tex]
We are to find the value of [tex]A^2.[/tex]
To evaluate [tex]A^2,[/tex] we need to multiply A and A.
Therefore, the evaluation is as follows :
[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]
Thus, the required value of A² is 9.
Write the number 498,416 in words.
A. Four hundred ninety-eight billion four hundred sixteen.
B.Four hundred ninety-eight million four hundred six.
C.Four hundred ninety-eight thousand four hundred sixteen.
D. Four hundred ninety-eight sixteen.
Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.
Transformations of polynomial functions
The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.
Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
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You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you
Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)
what would 6x-4=10 be?
Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
The solution of the system of equations is (3, 2)
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is a system of equations,
x + 2y = 7......(i)
x - 2y = -1
x = 2y - 1.....(ii)
Put eq(ii) in eq(i)
2y-1+2y = 7
4y = 8
y = 2
Put y = 2 in eq (ii)
x = 2(2)-1
x = 4-1 = 3
Hence, the solution of the system of equations is (3, 2)
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The exact times, in seconds, of four sprinters from a school track meet are as follows: Sprinter Sprinter A Sprinter B Sprinter C Sprinter D Time 132.38 132.31 132.29 132.25 If the stopwatch used was precise only to the tenths place, which sprinter's time is different from the others? Your answer: Sprinter A Sprinter B Sprinter C Sprinter D
Answer:
a. Sprinter A
Step-by-step explanation:
it rounds to 132.40 and B-D round to 132.30
A state auto-inspection station has two inspection teams. team 1 is lenient and passes all automobiles of a recent vintage; team 2 rejects all autos on a first inspection because their “headlights are not properly adjusted.” four unsuspecting drivers take their autos to the station for inspection on four different days and randomly select one of the two teams. a if all four cars are new and in excellent condition, what is the probability that three of the four will be rejected? b what is the probability that all four will pass?
The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.
50 POINTS! PLEASE HELP!
Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.
[tex]Answer:[/tex]
[tex]x = -3[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]5x-20+3x-9x=6-(2x+5)+8x[/tex]
[tex]8x-20-9x=6-(2x+5)+8x[/tex]
[tex]-x-20=6-(2x+5)+8x[/tex]
[tex]-x-20=6-2x-5+8x[/tex]
[tex]-x-20=1-2x+8x[/tex]
[tex]-x-20=1+6x[/tex]
[tex]-x-20-6x=1[/tex]
[tex]-7x-20=1[/tex]
[tex]-7x=1+20[/tex]
[tex]-7x=21[/tex]
[tex]\frac{21}{-7}[/tex]
[tex]-3[/tex]
The penny size d is given by the literal equation d = 4n - 2, solve for n
Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?
a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.
HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?
Which statement is true about this argument?
Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.
The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.
Explanation:The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:
If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.So, the argument is valid and the conclusion is correctly drawn from the premises.
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Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?
if x=6 can the <'s be supplementary
I completely messed up and need help...
3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.
Which property is NOT used when solving 15=2x-1
The associative property is not used when solving the given equation.
Explanation:The property that is NOT used when solving the equation 15=2x-1 is the associative property.
The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.
Thus, the answer to the equation is:
15 = 2x - 1
Solving for x:
15 + 1 = 2x
16 = 2x
Divide both sides by 2:
16/2 = x
8 = x
What does the property Additive Identity, Additive Inverse, Multiplicative Identity, and Multiplicative Inverse mean?
Answer:
32342
Step-by-step explanation:
22
Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi
Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:
[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]
Lateral surface area(L.A) of the circular cone:
[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]
where
r is the radius and h is the height of the circular cone.
As per the statement:
[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]
then;
[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]
⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]
⇒[tex]4 \pi =\pi r^2[/tex]
Divide both sides by [tex]\pi[/tex] we have;
[tex]4 =r^2[/tex]
or
[tex]r^2 = 4[/tex]
⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]
r cannot be in negative
⇒[tex]r = 2[/tex] units
Therefore, radius of the circular cone is, r = 2 units