Answer: A $14 dollar meal with a 20% tip would be $16.80. The tip would be $2.80.
Step-by-step explanation:
People generally tip 15-20% of the bill. To calculate the tip multiply the total check by 1 plus the decimal percentage tip you'd like to leave. If you wanted to leave a 20% tip, you would add 1 to 0.20 to get 1.20. Multiply 14 by 1.20 to get the total amount you'd leave including the tip which would be $16.80.
Hope this helps!
Formula the vertex is located at (8.33, 236.67). what does this point represent in context?
It depends on the situation being modeled.
Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.
Then t=8.33s is the time when the object reached the maximum height.
The maximum height is the y-value of the vertex, which is 236.67 feet.
In such a case the quadratic curve opens downwards.
The vertex is then the maximum point on this curve.
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Answer:
It means that the maximum of the graph is the total daily profit from the soccer balls, and can be maximized by selling them for 8.33$
☆
You can copy this into the text box, you will get the correct answer w/ full response.
EDGE2022; Good Luck!!! :D
Find the mistake made in the steps to solve the equation.
(Lesson 5: Equations and Their Graph Discussion)
In general, how can a graph help us find solutions to two-variable equations?
A graph can help us find solutions to two-variable equations through the point of intersection.
How to illustrate the information?The appropriate steps will be:
Draw a graph for each side, or component, of the equation and check to see where the curves intersect, or are equal, to solve an equation graphically.
The answers to the equation are the x values of these places.
Plotting the graph of each equation allows us to clearly understand the solution. The point of intersection of the two lines is where the solution, which is an ordered pair that satisfies both equations, occurs on both lines.
Therefore, a graph can help us find solutions to two-variable equations through the point of intersection.
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I am equivalent to 1 3/4 and as an improper
fraction my numerator is 9 more than my
denominator. What am I?
Answer:
21/12
Step-by-step explanation:
1 3/4 in improper form is 7/4
7 is not 9 more than 4 so its another equivalent
7/4 × 2/2 = 14/8
That isn't 9 more than the denominator either
7/4 × 3/3 = 21/12
21 - 12 = 9 so 21 is greater than 12 by 9.
What is the height, h, of the rectangular prism shown below?
Round your answer to the nearest tenth.
The height (h) of this rectangular prism is equal to 3 units.
What is Pythagorean theorem?Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
How to determine the height (h) of this rectangular prism?In order to determine the height (h) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:
d² = l² + b²
d² = 4² + 3²
d² = 16 + 9
d² = 25
d = √25
d = 5 units.
Therefore, the diagonal of the base of this rectangular prism is equal to 5 units.
Now, we can determine the height (h) of this rectangular prism:
x² = d² + h²
h² = √34² - 5²
h² = 34 - 25
h² = 9
h = √9
Height, h = 3 units.
Therefore, the height (h) of this rectangular prism is equal to 3 units.
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for what values of positive integers n is (n-11)(n-13) prime?
The values of positive integers n (n-11)(n-13) prime would be 6 and the solution are; 5 and 7.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.
The Prime factorization is when all those factors are prime numbers.
Since prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
The value of n would be 6
(n-11) = 6- 11 = 5
(n-13) = 6 - 13 = 7
Therefore, the values of positive integers n (n-11)(n-13) prime would be 6.
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Write a rational expression that would produce the following number line
A rational expression that would produce the given number line is f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)].
How to derive a rational equation that observe the sign characteristics on the number line
Rational equations are equations of the form P(x) / Q(x), where P(x) and Q(x) are polynomials representing the numerator and the denominator of the expression. In this problem we assume a rational equation where P(x) = 1 and Q(x) is polynomial in factored form, where each root represents an indetermination. Then, we derive the following rational expression that observes the sign behavior on the number line:
f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)]
This expression guarantees the sign behavior:
f(x) < 0 for x < - 4.f(x) > 0 for - 4 < x < 1.f(x) < 0 for 1 < x < 3.f(x) > 0 for x > 3.To learn more on rational equations: https://brainly.com/question/8177326
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Combine these radicals 3[/2] - 5 [/2]
On combining the radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex] we get the answer
- 2[tex]\sqrt{2}[/tex].[tex]\sqrt{2}[/tex]
Square Root : The root of a number in math is a number that when multiplied by itself produces the original number. For example, the square root of 49 is 7 because 7×7=49. In this case, because 7 is multiplied by itself twice to produce 49, we call 7 the square root of 49.
Given are the two radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex]
Explanation:
Subtracting both the numbers, we get
= 3[tex]\sqrt{2}[/tex] + (- 5[tex]\sqrt{2}[/tex])
opening brackets, we get
= 3[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{2}[/tex]
Taking common [tex]\sqrt{2}[/tex] from both the digits, we get
= ( 3 - 5 ) [tex]\sqrt{2}[/tex]
On subtracting, we get
= - 2[tex]\sqrt{2}[/tex]
Therefore, on combining the radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex] we get the answer
- 2[tex]\sqrt{2}[/tex].
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Find the midpoint of the line segment.
midpoint of the line segment is (1/2 , -3)
A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
Let (a1, b1) and (a2, b2) be the ending point of the line segment. The midpoint formula of a line segment joining these two points is given as:
(a , b ) = ((a₁ +a₂)/2 , (b₁ +b₂)/2)
Here ,
a₁ =-2
a₂=3
b₁=-1
b₂= -5
(a , b ) = ((-2 +3)/2 , (-1 -5)/2)
(a , b ) = (1/2 , -3)
midpoint of the line segment is (1/2 , -3)
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complete :
i⁶⁴ = ....
first off let's recall that 4³ = 64, and that i⁴ = 1, so
[tex]i^{64}\implies i^{4^3}\implies i^{4\cdot 4\cdot 4}\implies i^{4\cdot 16}\implies (i^4)^{16}\implies (1)^{16}\implies \text{\LARGE 1}[/tex]
Decide whether the following statements are always, sometimes, or never true.If n is a real number, then 0n=0 .
The following statement that if n is a real number, then 0n = 0 is always true.
The given question states that we have to determine whether the given statement is always true or sometimes true or never true.
The statement given in this question is that if n is a real number, then 0 n = 0.
To solve this question, it us important that we are familiar with real numbers.
Real numbers comprise of both rational numbers as well as irrational numbers. Rational numbers include natural number, whole numbers, fractions, etc. while irrational numbers consist of recurring decimal numbers such as √3, pi, etc.
We know that any real number multiplied with 0 will always return 0 as the answer.
Hence, we can say that the statement that if n is a real number, then 0 n = 0 is always true.
Therefore, we get the following statement that if n is a real number, then 0n = 0 as always true.
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14 inches of wire costs 56 cents.
At the same rate, how many inches of wire can be bought for 28 cents?
[tex]\huge\boxed{7\ \text{inches}}[/tex]
We're trying to find how many inches of wire can be purchased with 28 cents, so we'll start by finding how much wire can be bought with just one cent.
This amount will be represented with [tex]w[/tex].
[tex]14=56w[/tex]
Divide both sides of the equation by 56.
[tex]\dfrac{14}{56}=w\\\\\dfrac{1}{4}=w[/tex]
Now, we'll multiply this value by 28 cents to find the final answer.
[tex]\dfrac{1}{4}\cdot28=\boxed7[/tex]
Mai's teacher orders tickets to the local carnival for herself, the entire class, and 3 more chaperones. Student tickets are $4.50.
help me with the answer PLEASE
Answer: you take 4.50 multiply it by 4 for the chaperons and the teacher then multiply 4.50 by how many students there are then add those two together and there is your answer
Step-by-step explanation:
Solve the equation below by factorising. 12 − 8w + w² = 0
Answer: I hope this is what your looking for....
12-86+2^2 = 0
w=6
w=2
Step-by-step explanation:
Answer: w = 6,2
Step-by-step explanation:
Solve. Check for extraneous solutions. (2 x+3)¹/₂-7=0
No extraneous solution to the equation.
The equation is
[tex](2x + 3)^{1/2}[/tex] - 7 = 0
To find whether the equation has an extraneous solution, first we have to find the value of x.
[tex](2x + 3)^{1/2}[/tex] = 7
Squaring both sides, we get
2x + 3 = 49
2x = 46
x = 23
Now put the value of x in the equation,
[tex](2 * 23 + 3)^{1/2}[/tex] - 7 = 0
[tex](46 + 3)^{1/2}[/tex] - 7 = 0
[tex]49^{1/2}[/tex] - 7 = 0
7 - 7 = 0
0=0
Therefore we get that there is no extraneous solution to the equation, x= 23 is the solution of the equation.
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The solution set of |2x − 2| > 2 is the set of all x-values where the graph y = |2x − 2| ? the line y = 2.
a.)is above
B.)is below
c.)intersects
d.) does not intersect
!100! POINTS!!!!!!
Answer:
a.)
Step-by-step explanation:
|2x - 2| > 2 (greater than 2)
the dilution set is the set of all x values, for which this inequality is true.
and that means
|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.
the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.
so, only the values of |2x - 2| higher than 2 keep the inequality true.
so, a.) is the right answer. it is above the line.
b.) below would mean "< 2".
c.) intersects would mean "= 2".
d.) does not intersect would mean "<> 2".
please consider, the intersection points with the line are NOT included, because we have "> 2".
if we had to include the intersection points, it would have to be ">= 2".
7x(92+7) = (7x92)+(7x_)
Answer:
7
Step-by-step explanation:
7x(92+7) = 693
(7x92) = 644
(7x92) +
(7x7) = 49
644 + 49 = 693
Katie and Jill currently share a dresser, and each would like to have one of her
own. As a valued member at the local furniture store, you receive an additional
discount off each purchase. Calculate the amount of discount off each item. (2
points)
17% off a $35 dresser
12% off a $32 dresser
20% off a $55 bookshelf
12% off a $22 mirror
Answer: A
explain: because 17 = 35
help me please !!!!!!!!!!!!!!!!!!!!!!!11
Answer:
Step-by-step explanation:
f. 20.5-13.71= 6.79
g. 71.23-36.57-17.89= 16.77
h. 50.147-19.05-7.61= 23.487
i. 92.38-57.25-16.3= 18.83
j. 44.08-17.9-9.06= 17.12
The left and right page numbers of an open book are two consecutive integers whose sum is 427. Find these page numbers.
The page number of left page is 213
The page number of right page is 214.
Given,
The left and right page numbers of an open book are two consecutive integers.
We can take:
The left page number = n
The right page number = n + 1
The sum of the page numbers = 427
That is,
n + (n + 1) = 427
We can solve this equation:
n + (n + 1) = 427
2n + 1 = 427
2n = 427 -1
2n = 426
n = 426/2
n = 213
n + 1 = 213 + 1 = 214.
Therefore,
The left page number is 213 and right page number is 214.
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Im dum i really need help
Answer:
T' = (-4, 0)
S' = (-4 , -10)
U' = (3 , 0)
V' = (3, -10)
Step-by-step explanation:
For each function, identify the transformation from the parent function y=b x . y=5 x+3
Transformation of y= b*x into y = 5x + 3 will take place by vertical dilation by a scale factor of 5 and vertical translation of 3 units.
A parent function is the simplest form of a particular family of functions. A family of operations is a group of tasks with the same highest degree and therefore the same graph shape.
Function transformations "move" "resize" or "mirror" the graph of the parent function.
Mathematically speaking, the transformation of the function y = f(x) is usually y = a f(b(x + c)) + d. where a, b, c, and d are arbitrary real numbers representing transformations. Note that all outer numbers (outside the brackets) represent vertical translations, and all inner numbers represent horizontal translations. Addition and subtraction are translations, and multiplication and division are dilations. Every time a minus sign is multiplied it means it is a reflection here, 'a' stands for vertical stretch, 'b' stands for horizontal stretch, 'c' stands for horizontal movement, 'd' stands for vertical movement
We have given two functions y=b x and y = 5x + 3 which means that first, y changes into 5x i.e., vertical dilation by a scale factor of 5 and it changes to y = 5x + 3 i.e.., vertical translation of 3 units.
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You can model time t , in seconds, an object takes to reach the ground falling from height H , in meters, by t(H)=√2H/g . The value of g is 9.81 m/s². If an object takes 7 seconds to fall to the ground, what was its initial height?
The height of the building is 240.34m
Since we are given t=√2h/g
By Squaring both sides we get simplifies equation as t²=2h/g
We are given the value of t as 7 and value of g as 9.81
Putting these values in the simplified equation we get
h=49×9.81/2
h=240.34m
Hence the height of the building is 240.34m
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I need serious help. Algebra 1.Please Help.
Answer:
Step-by-step explanation:
a:) Solve for b:
a = b/c^2
a = b/c^2 is equivalent to b/c^2 = a:
b/c^2 = a
Multiply both sides by c^2:
Answer: b = a c^2 = Dark Green
part 2) a = b/c^2 where a = 1/8, c = 4
b = 2
____________________________________________
b:) Solve for v:
-v + m = k
Subtract m from both sides:
-v = -m + k
Multiply both sides by -1:
Answer: v = m - k = Light blue
part 2) m - v = k where k = -7, m = -2
v = 5
__________________________________________
c:) Solve for q:
p/q = r/s
Take the reciprocal of both sides:
q/p = s/r
Multiply both sides by p:
Answer: q = (p s)/r = yellow
part 2) p/q = r/s where p = 14, r = -7, s = -4
q = 8
Please help, how do I know if it’s a function or not a function?
Answer:
It is not a function because the number 1 repeats twice (If the numbers in the domain repeat then it is not a function)
Change the statement “eighteen to the fourth power” to a numerical expression.
Step-by-step explanation:
18^4 (18 with a smaller 4 on the top right corner)
need help with this equation
The solution for the variable a in the fraction equation given as 1/12a - 1/2 = -1/8 is 9/2
How to solve for a in the fraction equation?The fraction equation is given as
1/12a - 1/2 = -1/8
Add 1/2 to both sides of the equation
So, we have
1/12a = 1/2 - 1/8
Take LCM and evaluate the sum
1/12a = (4 - 1)/8
Evaluate the difference
1/12a = 3/8
Multiply both sides of the equation by 12
So, we have
a = 9/2
Hence, the solution for the variable a in the fraction equation given as 1/12a - 1/2 = -1/8 is 9/2
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-14 > w+ 3 or 3w 2-27
How do i solve
Answer: w< -17
Step-by-step explanation:
The wavelength of ultraviolet light is about 0.00000003 inches. Which number best approximates this length as a power of 10?
A. 3 × 10–9
B. 3 × 107
C. 3 × 10–8
D. 3 × 10-7
MATH homework if someone can help
Step-by-step explanation:
[tex]7x < 67 - 32 \\ 7x < 35 \\ \frac{7x}{7} < \frac{35}{7} \\ x < 5[/tex]