A restaurant meal cost $90 and there was a 6% meals tax on the price of the meal. The meal tax was $5.40 and the total price of the meal with the meal tax was $95.40.
Find the meal tax, you need to calculate 6% of the $90 meal cost.
Convert the percentage to a decimal by dividing by 100, so 6% = 0.06.
Multiply the meal cost by the decimal. In this case, $90 × 0.06 = $5.40.
So, the meal tax was $5.40.
Find the total price of the meal with the meal tax, you need to add the meal tax to the original cost of the meal.
Add the meal tax to the original cost, so $90 + $5.40 = $95.40.
The total price of the meal with the meal tax was $95.40.
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Giving 50 points
Solve for x.
x² = 144
Enter your answers in the boxes. Enter the smaller answer first.
x = and x =
Answer:
x = -12 and x = 12.
Step-by-step explanation:
To solve for x, we need to take the square root of both sides of the equation:
x² = 144
√(x²) = √144
since sqaure root gives both positive and neagtive value, so
x = ±12
So the solutions for x are x = -12 and x = 12.
Can somebody help me with this one thank you.
Answer:
3/4
Step-by-step explanation:
6/8 divided by 2 is 3/4
Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s statement. 6x 4y = 14, 3x 2y = k.
System of linear equation have no solutions both when both the lines are parallel(not intersecting or coincident).
Percy is wrong since system will have no solution for any real numbers except k = 7, because at k = 7, both lines become same, thus having infinite solutions.
When does a system of linear equation have no solution?When both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
If they are coincident(lying over each other), then there will have infinite solution since in that case, they will have infinite points in common.
Thus, if two lines are not in any of above case, they intersect at single point and in that case, the considered system of equation has unique single solution.
When will the given system of equation have no solution?The first equation is
this can be rewritten as:
\(6x + 4y = 14\\ \\ \text{Dividing by 2 on both sides}\\ \\ 3x + 2y = 7\)
Writing in slope-intercept form:
\(3x + 2y = 7\\
2y = 7-3x\\\\
y = -\dfrac{3}{2}x + \dfrac{7}{2}\)
The second equation is
\(3x + 2y =k\)
If k = 7, then both equation become same thus infinite solution.
\(3x + 2y = k\\ 2y = k - 3x\\\\ y = \dfrac{k}{2} -\dfrac{3}{2}x\\\\ y = -\dfrac{3}{2}x +\dfrac{k}{2}\)
If k is not 7, then the y intercept of both the lines will be different but slope will be same. The same slope denotes lines are parallel and different y-intercept shows that the lines are not same(not coincident).
Thus, there are infinite solutions for all values of k except 7.
Thus, Percy is wrong since system will have no solution for any real numbers except k = 7, because at k = 7, both lines become same, thus having infinite solutions.
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Answer:
Sample Response: k = 7 proves the equations are equivalent and, therefore, have infinitely many solutions. That is illustrated by the fact that multiplying 2 by 3x +2y = 7 will create the equivalent of 6x + 4y =14.
Step-by-step explanation:
Given that
a
= 5 cm and
b
= 14 cm, work out the area of the triangle.
Give your answer rounded to 1 DP
Answer:
32.7
Step-by-step explanation:
Using the Pythagorean theorem, we can set an equation to 5^2+c^2=14^2,
which is equal to 196-25 = c^2, which is equal to c^2=171, therefore, c=\(\sqrt{171}\)
5*\(\sqrt{171}\)/2=32.69, rounded will equal to 32.7
Estimate the time it took you to drive 398 miles at 49 mph round to the nearest hour
Given:
Distance traveled, d = 398 miles
Average speed, v = 49 miles per hour.
Let's find the time it took you to drive.
To find the time, apply the formula:
\(time=\frac{distance}{speed}\)Thus, we have:
\(\begin{gathered} time=\frac{398\text{ miles}}{49\text{ mph}} \\ \\ time=8.12\text{ hours}\approx8\text{ hours} \end{gathered}\)Therefore, the estimated time it took to drive is 8 hours.
ANSWER:
8 hours.
If the zeros of a quadratic equation are
7 and 4, what would be the factors?
Answer:
The factors are (x-7) and (x-4)
Step-by-step explanation:
We are finding the factors of a function from the zeros
The zeros are 7 and 4
We can use the zero product property which is
(x-b)(x-c) = 0 where b and c are the zeros
(x-7) (x-4) =0
The factors are (x-7) and (x-4)
The markup on a restaurant is 250%. A meal costs 7.30 to produce, How much will the customer be charged before tax and tip?
The amount that the customer be charged before tax and tip is $25.55
Given,
The markup on a restaurant = 250%
The cost of a meal to produce = $7.30
We have to find the amount will the customer be charged before tax and tip;
The markup price = 250/100 × 7.30 = 5/2 × 7.30 = 2.5 × 7.30 = 18.25
The Markup price on a restaurant is $18.25
Now,
The amount that the customer be charged before tax and tip = The cost of a meal to produce + The markup price
= 7.30 + 18.25
= 25.55
That is,
The amount that the customer be charged before tax and tip is $25.55
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1 foot is equal to 12 inches. How many inches are in 3 feet, 10 inches?
Answer:
46 inches
Step-by-step explanation:
Since every foot is 12 inches you will do 3 × 12, which equals 36. You aren't done yet though. Since there's an added 10 inches you will add 10 inches to 36. 36 + 10 = 46. Hope this helps!
ANSWER QUICKLY PLEASE!!
a credit card company charges a 4% balance transfer fee. If you want to transfer a balance of 2,100 to this credit card what fee would you pay?
a) $40
b) $84
c) $400
d) $840
How
do I show significant difference using superscript between these
values? (anova single factor test)
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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Visitors to the amusement park must be at least 54 inches tall to ride the roller coaster. How tall might a visitor riding the roller coaster be?
Answer:
Step-by-step explanation:
The visitor might be exactly 54 inches or above 54 inches.
What postulate, if any, can be used to prove the triangles are congruent?
Answer:
They are exactly the same size and shape
Step-by-step explanation:
The congruence postulates covered in this lesson are
- Side-Side-Side (SSS)
- Side-Angle-Side (SAS)
- Angle-Side-Angle (ASA)
- Angle-Angle-Side (AAS)
What is 5 divided by (-3) but in the long division?
Answer:
Step-by-step explanation:
Divide 5 by 3
5 divided by 3 is 1 (in the set of integers). The remainder is 2.
5/3 is 1.666666666666666666666666666666666666666666666666666666666666667 (in the set of reals).
Solution for 5 divided by 3
✍️See below how to solve this division manually.
5 divided by 3 - Long Division Solution
The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.
Start by setting the divisor 3 on the left side and the dividend 5 on the right:
1 ⇐ Quotient
―
3)5 ⇐ Dividend
3
-
2 ⇐ Remainder
The result of the division of 5 divided by 3 is 1.6666666666666667, as a decimal number.
5/3 as a mixed number
5 divided by 3 equals to the mixed number 1 2
3
.
Note that the result of the division 5÷3 is not an exact value and is equivalent to a recurring decimal 1.66... (which has 6 as the period).
if the slope is 20 and the y intercept is 0,1 what is the equation
Answer:
\(y = 20x + 1\)
Step-by-step explanation:
The format for the equation of a line is \(y = mx + b\), with \(m\) being the slope and \(b\) being the y-intercept.
You have that information already, so we can just plug it in.
\(y = 20x + 1\)
I'm assuming 0,1 means (0, 1) as in a coordinate. If you meant a decimal, 0.1, adjust accordingly.
Answer:
y=20x+1
Step-by-step explanation:
Please help fast! need it
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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If the table below represents a proportional relationship, what number will go in the empty box?
Answer:
The number will be 15
Hope you have a great day!
Answer:
15 is the correct answer
You want to spend at most $12 on a carriage ride. The driver tells you there is an initial charge of $5 plus $0.50 per mile. Pick the inequality which best matches the situation.
Answer:
Step-by-step explanation:
If this means make an equation, (i don't remember from 8th grade)
12> 5 + .50m
what is outlier math definition
Answer:
In statistics, an outlier is a data point that differs significantly from other observations.
Step-by-step explanation:
what's bigger -1/5 or -0.9
Answer:
-1/5
Step-by-step explanation:
-1/5=-0.2
-0.9<-0.2
whats the predicted number of runs for the player with 149 hits? what's the predicted number of runs for the player with only 86 hits?
The predicted number of runs for the player with 149 hits is roughly 81 runs. The predicted number of runs for the player with 86 hits is roughly 43 runs.
To calculate this, you can use a linear regression equation which is R = (H*b) +a, where R is the predicted number of runs, H is the number of hits, b is the slope of the line, and a is the intercept.
Using the above formula, we can say that:
R= (81*149) - 80*(149)
= 81.
Similarly for 2nd part:
R= (43*86) - 85*43
= 43.
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Determine whether the matrix 0 3 7 is diagonalizable, if so, find a matrix P such that and b. Find A 1 1 -3
The matrix [0 3 7] is not diagonalizable.
Is the matrix [0 3 7] diagonalizable?The matrix [0 3 7] is not diagonalizable. Diagonalization is a process in linear algebra that transforms a matrix into a diagonal form using eigenvectors. To determine if a matrix is diagonalizable, we need to find its eigenvalues and eigenvectors. In this case, the matrix [0 3 7] has a single eigenvalue of zero, but it lacks additional linearly independent eigenvectors. Diagonalizable matrices require a complete set of linearly independent eigenvectors. Without these additional eigenvectors, the matrix cannot be diagonalized. Diagonalizable matrices are desirable as they simplify calculations and reveal important properties of the system they represent.
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3 2/3 divided by 2 then simplify
HELP I NEED HELP ASAP
ignore this, im doing this for the task thingy
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand contains 14% vinegar. The chef wants to make 220 milliliters of a dressing that is 13% vinegar. How much of each brand should she use?
Let:
x = Amount of first brand
y = Amount of second brand
so:
\(0.09x+0.14y=0.13(220)\)where:
\(y=220-x\)So:
\(\begin{gathered} 0.09x+0.14(220-x)=28.6 \\ 0.09x+30.8-0.14x=28.6 \\ -0.05x=28.6-30.8 \\ -0.05x=-2.2 \\ x=\frac{-2.2}{-0.05} \\ x=44 \end{gathered}\)so:
\(\begin{gathered} y=220-44 \\ y=176 \end{gathered}\)Answer:
44 mm of the first brand
176 mm of the second brand
Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 8 about the line x = ln 8. Please show me in two ways
The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,
The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.
In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.
To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.
The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.
The volume of this solid is calculated by the equation
=> V = π∫ln 8eˣdx,
where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi
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Please can someone help me on this question ?!!!!!!!!!!!I WILL MARK BRIANLIEST
Answer:
Step-by-step explanation:
This doesn’t make sense
Consider the plate dealt with in Example 8.1. Plot has a function of the angle of inclination of the plate as the hot side is tilted both upward and downward over the range +90°. Note that you must make do with discontinuous formulæ in different ranges of 0.
The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.
It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.
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Adriana buys equipment for her rugby team.
Complete the missing numbers in the table.
Gumshields
Headguards
Shoulder pads
Cost of each
(£)
12.99
13.50
Number
bought
7
10
Total cost
(£)
194.85
149.90
Total:
2006
Answer:
Step-by-step explanation:
To find the missing numbers in the table, we need to calculate the number of items and the cost of each item for the missing row.
Let the missing row be for boots.
Boots
Cost of each (£)
Number bought
Total cost (£)
To find the cost of each pair of boots, we need to divide the cost of the known items (gumshields, headguards, shoulder pads) by the corresponding number of items bought and then take the average.
The total number of gumshields, headguards, and shoulder pads bought is:
7 + 10 = 17
The total cost of the gumshields, headguards, and shoulder pads is:
£194.85 + £149.90 = £344.75
The cost of each pair of boots can be calculated as follows:
Cost of each pair of boots = (Total cost of gumshields, headguards, and shoulder pads) / (Total number of gumshields, headguards, and shoulder pads)
Cost of each pair of boots = £344.75 / 17
Cost of each pair of boots = £20.28 (rounded to two decimal places)
To find the number of pairs of boots bought, we can divide the total cost of all items (£2006) by the cost of each pair of boots (£20.28):
Number of pairs of boots = Total cost / Cost of each pair of boots
Number of pairs of boots = £2006 / £20.28
Number of pairs of boots = 98.8
Therefore, the missing numbers in the table are:
Boots
Cost of each (£)
20.28
Number bought
99
Total cost (£)
2006
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
A₁ is the area of parallelogram 1
A₁ is the area of parallelogram 2
l₁ is the distance between the points (2,6),(0,2)
l₂ is the distance between the points (4,0)(0,2)
b₁ is the distance between the points (2,0),(0,-2)
b₂ is the distance between the points (2,6),(4,-6)
A₁ = l₁ × b₁
A₁=4.47 ×4.47
A₁ = 19.89 sq.unit
A₂=l₂×b₂
A₂=2.82 × 6.342
A₂=17.88 sq.unit
A₁-A₂ = 19.89 sq.unit - 17.88 sq.unit'
A₁-A₂= 2.01
The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.
Hence,option 2 is correct.
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