Problem
Griffin had dinner at his favorite Indian restaurant. The bill before tax came to $28.50. The tax rate is 9%. How much does Griffin pay after tax? Round your answer to the nearest cent (hundredth).
Solution
For this case we can solve the problem with the following proportion rule:
\(\frac{28.50}{100}=\frac{x}{109}\)Where 100 represen the 100% of the price without taxes, then the price with taxes is x representing 109% and solving for x we got:
\(x=109\cdot\frac{28.50}{100}=31.065\)And the final answer rounded would be:
31.07$
Solve this equation: -72 + 12 - 2.x = 23 + 13.2
Answer:
x =-48.1
Step-by-step explanation:
-72 + 12 - 2.x = 23 + 13.2
Combine like terms
-60 -2x = 36.2
Add 60 to each side
-2x -60+60 = 36.2+60
-2x = 96.2
divide by -2
-2x/-2 = 96.2/-2
x =-48.1
Answer:
\( = - 48.1\)
Step-by-step explanation:
\( - 72 + 12 - 2x = 23 + 13.2 \\ - 2x = + 72 - 12 + 23 + 13.2 \\ - 2x = 96.2 \\ \frac{ - 2x}{ - 2} = \frac{96.2}{ - 2} \\ x = - 48.1\)
hope this helps
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good luck! have a nice day!
solve: 2/x+3 - 1/x = -4/x^2+3x
You must show your work and enter your answer below.
The solution of the linear equation is determined as x = -4.
What is the solution of the linear equation?
The solution of the linear equation is calculated by applying the following method as follows;
The given linear equation;
2/x+3 - 1/x = -4/x² +3x
We can start by simplifying the equation and getting rid of the fractions.
Multiplying every term by x will help us achieve that:
2 + 3x - 1 = -4/x + 3x²
Simplifying further:
2 + 3x - 1 = (-4 + 3x²) / x
Combining like terms:
3x + 1 = (-4 + 3x²) / x
(x)(3x + 1) = -4 + 3x²
3x² + x = -4 + 3x²
We can subtract 3x² from both sides:
x = -4
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How far is the robot claw from the winter lane
Answer:
4 blocks.
Step-by-step explanation:
If a course starts September 2022,and last for three years, what year would it end.
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
factor the expression 36xyz + 24xy - 16x by dividing each term by a common factor. what are the common possible factors?
Answer:
4(9xyz+6xy-4x)
Step-by-step explanation:
Since the GCF of all the numbers is 4 you would just divide each term by 4 and make the 4 go outside of the Parenthesis so you get 4(9xyz+6xy-4x)
The common possible factors are 4x and [9yz + 6y - 4] after dividing and multiplying by 4x in the expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
= 36xyz + 24xy - 16x
As we can see; the common factor in the expression is 4x
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by 4x in the expression and multiply by 4x:
We get:
= 4x[(1/4x)36xyz + 24xy - 16x]
= 4x[9yz + 6y - 4]
Thus, the common possible factors are 4x and [9yz + 6y - 4] after dividing and multiplying by 4x in the expression.
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Mary cut her birthday cake in ratio 8:7 She divided the smaller piece into two parts in the ratio 5:9 if the smaller of these pieces had a mass of 240g what was the mass of the whole cake
Let's start by finding the total number of parts in the ratio 8:7:5:9:
8 + 7 + 5 + 9 = 29
This means that the whole cake is made up of 29 equal parts.
Next, we need to find the mass of one part of the smaller piece that was divided into two parts. We can do this by adding the ratio parts together:
5 + 9 = 14
This means that the smaller piece was divided into two parts, each of which is 240g / 14 = 17.14g.
The smaller piece itself is made up of 8 + 7 = 15 ratio parts, so its total mass is:
15 x 17.14g = 257.1g
Finally, we can find the mass of the whole cake by using the ratio:
8 + 7 = 15 parts for the larger piece
15 + 5 + 9 = 29 parts for the whole cake
We know that the mass of one part of the smaller piece is 17.14g, so we can set up the following equation to find the mass of the whole cake:
15x + 15x(17.14g/240g) = 29x
Solving for x, we get:
x = 720g
Therefore, the mass of the whole cake is 29x = 20,880g (or 20.88kg).
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
\(\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\\)
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
a manufacturer produces custom metal blanks that are used by its customers for computer-aided machining. the accompanying data (manufacturing.xlsx) were sampled from the accounting records of 40 orders filled during the previous three months. you are interested in formulating a multiple linear regression model with y as the average dollar cost per unit, x1 as the material cost per unit, and x2 as the labor hours per unit.
In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.
(a): Yes, because there is not much of a trend in the data.
(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.
(c): chose a correct residual plot
In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x
As the number of labor hours increases, the residual values from the regression also tend to increase, suggesting that the labor input is a lurking variable.
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A probability distribution for various prize values is given by the following table.
Prizes Probabilities
$0.00 0.83
$100.00 0.08
$500.00 0.08
$10,000.00 0.01
Find the expected winnings. Round your answer to the nearest cent.
Answer:
$148
Step-by-step explanation:
Expected winnings = ($0.00 x 0.83) + ($100.00 x 0.08) + ($500.00 x 0.08) + ($10,000.00 x 0.01)
Expected winnings = $0.00 + $8.00 + $40.00 + $100.00
Expected winnings = $148.00
What are the x intercepts
The x-intercepts are (4,0)(5,0) of the following graph.
What is x-intercepts?In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.
To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.
What is y-intercepts?In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.
To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.
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Distributive property on 48x6=
Answer:
1×(480×6)
Step-by-step explanation:
ok it is distrutive property
Find the probability that a value randomly selected from this population will have a value greater than 130. b. Find the probability that a value randomly selected from this population will have a value less than 95. c. Find the probability that a value randomly selected from this population will have a value between 95 and 130.
Answer:
a) 0.0668
b) 0.3085
c) 0.6247
Question:
A population is normally distributed with μ = 100 and σ= 20.
a. Find the probability that a value randomly selected from this population will have a value greater than
130.
b. Find the probability that a value randomly selected from this population will have a value less than 90.
c. Find the probability that a value randomly selected from this population will have a value between 90
and 130.
Step-by-step explanation:
a) The probability that a value randomly selected from this population will have a value greater than 130 = P(X >130)
A z-score also referred to as a standard normal table shows the number of standard deviations a raw score lays either above or below the mean.
Let's determine the z-score using:
z = (x - µ)/σ
µ = 100
σ = 20
z = (130-100)/20
z = 30/20 = 1.5
The probability from the standard normal table associated with z = 1.50 is 0.4332. This is the area between z = 1.50 and the mean.
The total area under any normal curve is 1. Due to the fact that the normal curve is symmetric about the mean, the area on either sides of the mean is 0.5.
The desired probability = 0.5000 - 0.4332
= 0.0668
Find attached the diagram.
b) The probability that a value randomly selected from this population will have a value less than 90 = P(X<90)
Using the z-score formula:
z = (x - µ)/σ
z = (90-100)/20
z = (-10)/20 = -0.5
The probability from the standard normal table associated with
z = -0.50 is 0.1915. This is the area between z = -0.50 and the mean.
The desired probability = 0.5000 - 0.1915
= 0.3085
Find attached the diagram.
c) The probability that a value randomly selected from this population will have a value between 90 and 130 = P(90≤X≤130)
We earlier found the z score when P(X<90) = -0.5
And the probability associated with
z = -0.50 is 0.1915.
The z score when P(X>130) = 1.5
And the probability associated with z = 1.50 is 0.4332.
The desired probability is the addition of the two probabilities:
P(90≤X≤130) = 0.1915+0.4332
P(90≤X≤130) = 0.6247
solve using elimination -3x+3y=21 -x-5y=-17
Answer:
(2,6)
Step-by-step explanation:
A company that produces and sells ceramic tiles for $41.78 per square foot has fixed weekly expenses of $7,210 and variable expenses of $14.79 for each square foot of tile. Determine the company's ROI if they are able to sell 1,265 square feet of tile per week. Round the final answer to the nearest hundredth. Show your work.
Answer:
103.9
Step-by-step explanation:
yes
if f(x) = 6x^2 - 2x - 5 and g(x) = -2x^2 + 3x - 1, find (f-g) (x)
Hey there! I'm happy to help!
To find (f-g)(x), we simply subtract the function g from the function f.
6x²-2x-5-(-2x²+3x-1)
We combine like terms.
6x²+2x²=8x²
-2x-3x=-5x
-5-(-1)=-5+1=-4
Therefore, (f-g)(x)=8x²-5x-4
Have a wonderful day! :D
Answer: (f-g)(x)=8x²-5x-4
Step-by-step explanation:
(f-g)(x) means to subtract f(x) and g(x). Since we are given f(x) and g(x), we can directly subtract them.
(f-g)(x)=6x²-2x-5-(-2x²+3x-1) [distribute -1]
(f-g)(x)=6x²-2x-5+2x²-3x+1 [combine like terms]
(f-g)(x)=8x²-5x-4
Now, (f-g)(x)=8x²-5x-4 is our answer.
Please help i need the right answer fast will give brainliest if its correct answer
Answer:
8 X 5 = $40
Step-by-step explanation:
2 pounds 6 ounces = ounces
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
Find the difference. (2/7x-6) - 1/7x-5) =
Answer:
(2/7*-6)-1/7*-5)
=-12/7--5/7
=7/7
=1
Step-by-step explanation:
i think the answer is positive
The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
Identify the values of the variables. Give your answers in simplest radical form. HELP!
The value of the variables in the right triangle are as follows;
\(v = \frac{3\sqrt{2} }{2}\)\(w=\frac{3\sqrt{6} }{2}\)How to find the side of a right tringle?A right triangle is a triangle that has one of its angles as 90 degrees.
The side of a right triangle can be found by using trigonometric ratios.
Therefore, let's find the variable length of the right triangle as follows;
sin 30 = opposite / hypotenuse
sin 30 = v / 3√2
1 / 2 = v / 3√2
cross multiply
3√2 = 2v
divide both sides by 2
v = 3√2 / 2
Let's find the variable w.
cos 30 = adjacent / hypotenuse
cos 30 = w / 3√2
√3 / 2 = w / 3√2
cross multiply
√3 × 3√2 = 2w
3√6 = 2w
divide both sides by 2
w = 3√6 / 2
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please answer it’s due asap!
Answer:
m∠RSV = 58°
Step-by-step explanation:
Angles RSV and RSQ are supplementary angles. Supplementary angles are a total of 180°. Since we are given that ∠RSQ is 122°, we can solve for the measure of angle RSV by simply subtracting 122° from 180°.
m∠RSV = 180° - 122° = 58°
2. Find the unknown side lengths of the given right triangle.
Using the figure of the right triangle, the missing side lengths are calculated to be
side LK = 8√2side JL = 4.76How to find the side lengthsThe side lengths of the given right triangle is solved using some basic knowledge of angles.
The knowledge involve knowing that the since the angle given is 45 degrees, then the side opposite the angles are equal.
We can therefore say that side LK = 8√2
We can solve for side JL using the Pythagoras theorem
JL² = JK² + LK²
JL² = 8√2 + 8√2
JL² = 16√2
JL = 4.76
we can therefore say that the side lengths are LK = 8√2 and JL= 4.76
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An isosceles triangle has an angle that measures 136°. What measures are possible for the other two angles? Choose all that apply.
Answer:
The other two angles are 22° , 22°
Step-by-step explanation:
To find the other angles, we can use angle sum property of triangle.
The given angle 136° cannot be base angles. Let the base angles be x.
x + x + 136 = 180°
2x + 136 = 180°
Subtract 136 from both sides,
2x = 180 - 136
2x = 44°
Divide both sides by 2,
x = 44 ÷ 2
\(\sf \boxed{x = 22^\circ}\)
Answer:42
Step-by-step explanation:
just addsimplify 8+3{x-2[x+5(x3)]}
the correct answer is negitive one hundred eighty (-180)
Andre runs 14 miles in 2 hours. He bikes 72 miles in 3 hours. How many more miles does Andre bike than he runs in one hour?
Answer:
the answer is 17
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.42 million visitors per day and a standard deviation of 800,000 visitors per day.
What is the probability that the web site has fewer than 5 million visitors in a single day? If needed, round your answer to four decimal digits.
(b) What is the probability that the web site has 3 million or more visitors in a single day? If needed, round your answer to four decimal digits.
(c) What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
(d) Assume that 85% of the time, the Smiley’s People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smiley’s People to purchase additional server capacity? If needed, round your answer to two decimal digits.
a. There is a 0.7643 percent probability that the website will have fewer than 5 million visitors in a single day.
b. There is a 0.0375 percent chance that the website will have 3 million or more visitors in a single day.
c. There is a 0.3186 percent chance that the website will receive between 3 million and 4 million visitors in a single day. Therefore, about 5,276,320 visits per day's worth of website traffic will necessitate Smiley's People buying more server space.
d. The amount of web traffic that will require Smiley's People to purchase additional server capacity is approximately 5,276,320 visitors per day.
In order to calculate the likelihood, we must standardise the data using the equation z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, sigma is the standard deviation, and z is the standardised value.
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Parallel Lines and Transversals Find the measure of each angle indicated. Pls help me on these at least a couple of them I really need help I'll give brainliest if it is correct
Answer:
75°, 112°, 125°, 113°, 89°, 98°, 90°, 130°
Step-by-step explanation:
The marked angle pairs are one of ...
vertical angles -- congruentlinear pair -- supplementaryconsecutive interior -- supplementaryalternate interior -- congruentcorresponding -- congruentalternate exterior -- congruent1) vertical angles (congruent): ? = 75°
2) linear pair (supplementary): ? = 180° -68° = 112°
3) consecutive interior (supplementary): ? = 180° -55° = 125°
4) alternate interior (congruent): ? = 113°
5) corresponding (congruent): ? = 89°
6) alternate exterior (congruent): ? = 98°
7) alternate interior (congruent): ? = 90°
8) alternate interior (congruent): ? = 130°
_____
Additional comment
For parallel lines in general, all of the obtuse angles are congruent, and all of the acute angles are congruent. All of the obtuse angles are supplementary to the acute angles. (In (7), all angles are right angles, so all are congruent.) These facts can help you with problems like this one.
Learning the language (names/relationships) of these angles will be helpful to you in the future.
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?
Answer: 14
Step-by-step explanation:
300 minus 80 = 220
220 is the budget for the shirts so we divide 220 by 15 to get 14
Hope this helps!
Answer:14 shirts
Step-by-step explanation:300- 80 = 220
220/ 15 = 14.6 round 14.6 to 14 (because you cant buy half a shirt)
you can get 14 shirts