Answer:
To calculate the tip, we first need to find 24% of the total bill. To do this, we can multiply the bill amount by 24% (expressed as a decimal).
Tip = 0.24 * 73.25
= 17.58
Therefore, the tip should be $17.58 in dollars.
Ethan sold exactly eight TVs this quarter. Frank sold exactly twice as many TVs as Gina. Gabriel sold more TVs than Ethan. Gina sold exactly three more TVs than Gabriel and Ethan combined. Which statement must be true? Gabriel and Gina combined sold more TVs than Frank. Frank sold more than 40 TVs. Gina sold more than twice as many TVs as Ethan. Gina sold exactly twice as many TVs as Gabriel. Ethan, Gabriel, Gina, and Frank combined sold more than 80 TVs.
Gina sold more than twice as many TVs as Ethan, because 19 > (2 * 8)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Ethan sold exactly eight TVs this quarter.
Ethan TV = 8
Gabriel sold more TVs than Ethan, hence:
Gabriel TV (G) > 8
Gabriel TV > 8
Gina sold exactly three more TVs than Gabriel and Ethan combined
Gina TV = Gabriel TV + 8 + 3
Gina TV > 8 + 8 + 3
Gina TV > 19
Frank sold exactly twice as many TVs as Gina, hence:
Frank TV = 2 * Gina TV
Frank TV > 2 * 19
Frank TV > 38
Gina sold more than twice as many TVs as Ethan.
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a map is drawn with a centimeter representing 25 miles. if the distance between two towns is 4 centimeters on the map, what is the actual distance between the two towns?
Answer:
1 cm - 25 miles
4 cm - 25 x 4 = 100 miles
The required distance is 100 miles.
I just need this question left pls help
By using the fact that the sum of the interior angles must be 180°, we wil see that:
x = 110°.
How to find the value of x?First, remember that the sum of the interior angles of a triangle is alway equal to 180°.
We also can see that the interior angle that is adjacent to x can be written as:
a = 180° - x
Then the sum of the interior angles will give:
30° + 80° + (180° - x) = 180°
30° + 80° - x = 0
110° - x = 0
110° = x
That is the value of x.
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The table describes the quadratic function p(x).
x p(x)
−4 24
−3 9
−2 0
−1 −3
0 0
1 9
2 24
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 3
p(x) = 2(x + 1)2 − 3
p(x) = 3(x − 1)2 − 3
p(x) = 3(x + 1)2 − 3
Step-by-step explanation:
[tex]p(x) = 3 {(x + 1)}^{2} - 3[/tex]
Which of the following equations is correctly calculated?
-18 ÷ -2 = -9
-24 ÷ 3 = 8
-5 × -5 = 25
6 × -2 = 12
compute
3.04*21.5-9.12/3.8
The required simplified value of the given expression is given as 62.96.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression
= 3.04 × 21.5 - 9.12 / 3.8
= 65.36 - 2.4
= 62.96
Thus, the required simplified value of the given expression is given as 62.96.
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If a cubic millimeter of blood contains 5.2 x10^6 red blood cells, how many red blood cells are contained in 40 cubic millimeters of blood? Write your answer in scientific notation.
The amount of red blood cells contained in 40 cubic millimeter is 1.08×10⁸
What is proportion?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
For example If Mary is paid for a job $50 per day.
How much will she earn in 10 days.
She will earn 50×10 = $ 500 in 10 days
Similarly, 1 cubic millimeter contains 5.2× 10⁶ red blood cells
then, 40 cubic millimeter will contain 40× 5.2×10⁶
= 108×10⁶ = 1.08 × 10⁸ red blood cells
Therefore the amount of red blood cells contain in 40cubic millimeter of blood is 1.08× 10⁸
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Choose a symbol that correctly compares the fractions below 5/8 and 10/16
Answer: 5/8 "=" 10/16
Step-by-step explanation: To compare the fractions 5/8 and 10/16, we need to find a common denominator. In this case, the least common multiple of 8 and 16 is 16.
So, we can write the fractions as:
5/8 = (52)/(82) = 10/16
So the fractions are equal, therefore, the symbol that correctly compares them is = (the equal sign).
Answer: =
Step-by-step explanation:
In order to compare the fractions, we must make sure that the fractions have common denominators. Because 8 is a factor of 16, we will convert 5/8 into a fraction that has a denominator of 16. To do this, we need to multiply the numerator and denominator by the same number, in this case, 2 since that is what multiplies by 8 to get 16. (5/8) * (2/2) = 10/16 (you can just multiply across the top and bottom to solve). Now, we can compare. 10/16 is the same as 10/16, so an = would be the appropriate symbol. Hope this helps!
I have added a screenshot.
The probability that people aged between 34 to 65 have a certain disease is 0.95.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A stem-leaf diagram of people of different ages having a certain disease.
The probability that people have a certain disease between 35 and 64 years of age is,
= P(35 - 44) + P(45 - 54) + P(55 - 64).
= 0.14 = 0.39 + 0.42.
= 0.95.
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Please help
The water is 7 meters deep 2 meters from the shore.
How deep is the water 45 meter from
the shore?
Answer: 157.5
Step-by-step explanation:
The function is defined below.
H(x)= x+2/x^2+4x+4
Find all values of that are NOT in the domain of H.
If there is more than one value, separate them with commas.
Answer:
The domain of a function is the set of all input values (x-values) for which the function produces a valid output (y-value). In the case of the function H(x) = x+2/x^2+4x+4, we need to find the values of x for which the denominator x^2+4x+4 is not equal to zero.
x^2+4x+4 = 0
(x+2)^2 = 0
The denominator is always non-zero as the square of any real number is always positive. Therefore, the function H(x) = x+2/x^2+4x+4 is defined for all real values of x. Therefore, the function H(x) does not have any values that are not in its domain.
Step-by-step explanation:
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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5s+7s fatorise this answer
Answer:
s(5+7)
Step-by-step explanation:
Since 's' is the Highest Common Factor that will go outside the brackets.
[tex]s(5+7).[/tex]
Step-by-step explanation:1. Write the expression.[tex]5s+7s[/tex]
2. Find a common term between the 2 elements.As you can tell, a common term between "5s" and "7s" is variable "s". Hence, we may factorize using that variable.
3. Divide by "s" ans express as a factor.[tex]s(\frac{5s+7s}{s} )\\\\s(\frac{5s}{s} +\frac{7s}{s} )\\ \\s(5+7)[/tex]
4. Conclude.Final answer: [tex]s(5+7)[/tex].
Below is a diagram of the dotted cube with edges of length 5. Suppose vectors u=⟨5,0,0⟩, v=⟨0,5,0⟩, and w=⟨0,0,5⟩. Find the following vectors.
The vectors generated by means of operations with canonical vectors:
(5, 5, 10) (- 5, 5, 0) (- 15, - 5, - 10) (10, 15, 15)How to perform operations with vectors
Herein we find three canonical vectors, one for each orthogonal axis, from which we need to perform operations to generate new vectors. There two fundamental operations:
Vector sums
(a, b, e) + (c, d, f) = (a + c, b + d, e + f)
Vector multiplication by a scalar
α · (a, b, c) = (α · a, α · b, α · c)
Where:
a, b, c, d, e, f - Vector componentsα - ScalarIf we know that U = (5, 0, 0), V = (0, 5, 0) and W = (0, 0, 5), then the following operations are below:
Case 1
U + V + 2 · W
(5, 0, 0) + (0, 5, 0) + 2 · (0, 0, 5)
(5, 0, 0) + (0, 5, 0) + (0, 0, 10)
(5 + 0 + 0, 0 + 5 + 0, 0 + 0 + 10)
(5, 5, 10)
Case 2
U + T = V
T = V - U
T = (0, 5, 0) - (5, 0, 0)
T = (0 - 5, 5 + 0, 0 + 0)
T = (- 5, 5, 0)
Case 2b
R = U + V + W
R = (5, 0, 0) + (0, 5, 0) + (0, 0, 5)
R = (5 + 0 + 0, 0 + 5 + 0, 0 + 0 + 5)
R = (5, 5, 5)
Case 3
T - 2 · R
(- 5, 5, 0) - 2 · (5, 5, 5)
(- 5, 5, 0) + (- 10, - 10, - 10)
(- 5 - 10, 5 - 10, 0 - 10)
(- 15, - 5, - 10)
Case 3b
S = U + W
S = (5, 0, 0) + (0, 0, 5)
S = (5 + 0, 0 + 0, 0 + 5)
S = (5, 0, 5)
Case 4
U + V + W + R + S + T
(5, 0, 0) + (0, 5, 0) + (0, 0, 5) + (5, 5, 5) + (5, 0, 5) + (- 5, 5, 0)
(5 + 0 + 0 + 5 + 5 - 5, 0 + 5 + 0 + 5 + 0 + 5, 0 + 0 + 5 + 5 + 5 + 0)
(10, 15, 15)
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Charise can pick 1/3 pound of berries in 15 minutes.
How many pounds of berries can she pick in 4 hours at the same unit rate?
Answer:
Step-by-step explanation:
To convert minutes to hours, we divide by 60, since there are 60 minutes in an hour.
So 4 hours is equal to 4 * 60 = 240 minutes
Charise can pick 1/3 pound of berries in 15 minutes. This is her unit rate. To find out how many pounds of berries she can pick in 4 hours, we need to multiply this unit rate by the number of 15-minute intervals in 4 hours.
240 minutes / 15 minutes = 16 (four-hour intervals)
So the amount of berries Charise can pick in 4 hours is:
1/3 pound/15 minutes * 240 minutes = (1/3) * 16 = 16/3 = 5.333 pounds of berries.
Answer:
5 1/3 pounds of berries----------------------------------
Charise can pick 1/3 pound of berries in 15 minutes.
There are 4 of 15 minutes in an hour and we need to calculate it for 4 hours.
4*4 = 16 of 15 minutesShe picked:
1/3*16 = 16/3 = 5 1/3 pounds of berriesDuring the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37, find
the individual team scores.
Team Tackle's score was
Team Sack's score was
points.
points.
Team Tackle's score was 28 points. And team Sack's score was 9 points.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37.
Let 'x' be the Tackle's score and 'y' be the Sack's score. Then the equations are given as,
x + y = 37 ...1
x = y + 19 ...2
From equations 1 and 2, then we have
y + 19 + y = 37
2y = 18
y = 9
Then the value of 'x' is given as,
x = 9 + 19
x = 28
Team Tackle's score was 28 points. And team Sack's score was 9 points.
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Find the sum of the first seven terms of the geometric sequence series having the following information: 2-8+32- … +a n
Answer:
6554-------------------------------
From the given information we can see:
The first term is a = 2,Common ratio is r = - 4Use the equation for the sum of the first n terms:
Sₙ = a(rⁿ - 1)/(r - 1)S₇ = 2((-4)⁷ - 1)/(-4 - 1) = 6554Answer:
[tex]S_7=6554[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given geometric series:
[tex]2-8+32-...+a_n[/tex]
The first term (a) of the sequence is 2:
[tex]\implies a=2[/tex]
To find the common ratio (r), divide consecutive terms:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-8}{2}=-4[/tex]
To find the sum of the first 7 terms, substitute the found values of a and r into the formula, along with n = 7:
[tex]\implies S_7=\dfrac{2(1-(-4)^7)}{1-(-4)}[/tex]
[tex]\implies S_7=\dfrac{2(1-(-16384))}{5}[/tex]
[tex]\implies S_7=\dfrac{2(16385)}{5}[/tex]
[tex]\implies S_7=\dfrac{32770}{5}[/tex]
[tex]\implies S_7=6554[/tex]
what is the rate of interest per annum at which 8000 will yield 1650 after 10years
Step-by-step explanation:
annual interest = 1650
10
= 165
[tex] \frac{165}{8000} \times 100 = 2.0625\%[/tex]
John needs to decide about whether to spend $10,000 on a two year degree that will qualify him for a $35,000 a year job or go to work now and make $20,000 a year. How long will it take Anthony to recover his investment if he goes to school? Assume he will not work at all while in college. Round to 1 decimal place.
John needs to decide about whether to spend $10,000 on a two year degree that will qualify him for a $35,000 a year job or go to work now and make $20,000 a year. How long will it take Anthony to recover his investment if he goes to school? Assume he will not work at all while in college. Round to 1 decimal place.
Answer:
Step-by-step explanation:
To calculate how long it will take John to recover his investment, we need to divide the cost of the degree by the difference in income between the two options.
$10,000 / ($35,000 - $20,000) = $10,000 / $15,000 = 0.67 years or 0.67*12 = 8 months.
So, it will take John 8 months to recover his investment if he goes to school.
Please note that this is a simplified calculation as it does not take into account the cost of living, taxes, and other expenses.
Point X is at 2/3 on a number line. On the
same number line, point Y is the same
distance from 0 as point X, but has a
numerator of 8. What is the denominator
of the fraction at point Y? Draw a number
line to model the problem.
The denominator of the fraction at point Y is equal to 24.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:
8/d = 1 - 2/3
8/d = 1/3
Cross-multiplying, we have:
d = 8 × 3
d = 24.
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It takes you 53 minutes to bike 15 miles. At that same rate, about how long does it take you to bike 100 miles?
Answer:
795
Step-by-step explanation:
you mutiply 53 x 15 which gives you 795
Answer:
You have to take the 53 and divide it by 15 which gives you 3.53 repeating so than take 3.53 and multiply by 100 and that gives you 353 minutes as you answer
Step-by-step explanation:
Points of discontinuity, holes, vertical asymptotes, and horizontal asymptote. (Please show work)
Discontinuities are points where the function is undefined. Holes are points where the graph has a break in it. Vertical asymptotes are lines on a graph where the function approaches infinity and horizontal asymptotes are lines on a graph where the function approaches a limit.
What is rational functions?The theory used in this question is the theory of rational functions. This theory is used to identify points of discontinuity, holes, vertical asymptotes, and horizontal asymptotes in rational functions.
In the given question,
2. f(x) = x-2/x-4
Points of discontinuity: x = 4
Holes: None
Vertical Asymptote: x = 4
Horizontal Asymptote: None
3. f(x)= 3x-3/x2-1
Points of discontinuity: x = 1
Holes: None
Vertical Asymptote: x = 1
Horizontal Asymptote: y = 0
4. f(x) = x²+5x+6/x²+6x+9
Points of discontinuity: None
Holes: None
Vertical Asymptote: None
Horizontal Asymptote: y = 1
5. f(x) = (x+3)(x-2)/(x-2)(x+1)
Points of discontinuity: None
Holes: x = -1, x = 2
Vertical Asymptote: x = -1, x = 2
Horizontal Asymptote: y = 1
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Find the volume of the combined solid from the figure.
Answer:
1734
Step-by-step explanation:
We can simply solve the volume of the 2 different cubes. The bigger cube's volume is 15*12*8 = 1440. The volume of the small cube is 6*7*(15-4-4)=294.
So the total volume should be 1734
Answer:
1944 cm³
Step-by-step explanation:
Two rectangular parallelepipeds:
Upper: 12 x 7 x 6 = 504 cm³
Lower: 12 x 15 x 8 = 1440 cm³
Total: 504 + 1440 = 1944 cm³
factorise fully 6x^2y +15xy^2
Answer: 3 x y (2 x + 5 y)
Step-by-step explanation:
im not really sure but i gave it a try
ANYONE GOOD AT MATH HELP IF YOU CAN , PLEASE WILL GET BRAINLIEST!
Answer:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)=45[/tex]
[tex]g \left( f \left( g \left( 0 \right) \right) \right)=3[/tex]
We had to use the equation on the first problem as the graph does not show the value of function f(x) when x = -6.
Step-by-step explanation:
When calculating composite functions, work from the inside out.
Given composite function:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)[/tex]
First use the graph to find f(1):
f(1) = -4[tex]\implies f \left( g \left( f \left( 1 \right) \right) \right)= f \left( g \left(-4\right)\right)[/tex]
Now use the graph to find g(-4):
g(-4) = -6[tex]\implies f \left( g \left(-4\right)\right)=f(-6)[/tex]
As the graph does not show the value for f(x) when x = -6, we need to use the equation:
[tex]\implies f(-6)=(-6)^2-2(-6)-3=45[/tex]
Therefore:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)=45[/tex]
------------------------------------------------------------------------------
Given composite function:
[tex]g \left( f \left( g \left( 0 \right) \right) \right)[/tex]
First use the graph to find g(0):
g(0) = -2[tex]\implies g \left( f \left( g \left( 0 \right) \right) \right)=g \left( f \left( -2 \right) \right)[/tex]
Now use the graph to find f(-2)
f(-2) = 5[tex]\implies g \left( f \left( -2 \right) \right)=g \left(5 \right)[/tex]
Finally, use the graph to find g(5):
g(5) =3Therefore:
[tex]g \left( f \left( g \left( 0 \right) \right) \right)=3[/tex]
We had to use the equation on the first problem as the graph does not show the value of function f(x) when x = -6.
the circumference of a circle is 16 pi m what’s the area
Answer:
16pi =2pi r
pi are cancelled
r=16/2
r=8m
area of circle =pi r²
22/7×64
area=201.15m²
Step-by-step explanation:
circumference of circle is 2pie radius
area of circle is pi r²
Shop a charges $275.00 for an oil change and has a gross oil profit of 39.1%. What is the profit per lube
The profit from Lube for Store A would be = $8.31.
What is the profit per unit?Unit profit can be obtained by subtracting the cost of the product from the selling price.
Data and calculations:
Selling price for oil change = $275
Percentage of total oil revenue = 39.1%
Cost of oil per gallon = $21.25
Selling price per gallon = $29.56 ($21.25 x $1,391)
Total income = $8.31 ($29.56 - $21.25)
Therefore, the profit from Lube for Shop A would be= $8.31.
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Complete question:
Shop A charges $275.00 for an oil change and has a gross oil profit percent of 39.1% for its total oil gross profit %. Shop B charges $275.00 for an oil change and has a gross oil profit percent of 28.4% for its total oil gross profit %. Both shops pay $21.25 per gallon of oil. What is the Profit per Lube for Shop A?
Hi- can someone help me with 4 of these questions? I used a calucator to help but it didn't give me the right answer, (the questions are the pictures)
Answer: first one is D 15 1/2
second one is B 11 2/8
Third one is C (already had the correct answer)
fourth answer would be A 3 2/12
Step-by-step explanation:
hope this helps
HELP I NEED HELP I NEED HELP I NEED HELP
Answer:
A is an Irregular Polygon
B is Neither a Polygon
C is an Irregular Polygon
D is a Regular Polygon
E is a Regular Polygon
I have my homework overdue and i can't figure out how to do this can someone teach me
3y = 4x + 2 is a linear equation that satisfies the graph.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Few coordinates of a linear function to make the equation of line we need only two coordinates.
general formula for linear equation is y = mx + c
where, m = slope
c = constant
General formula for slope m = (y₂ - y₁)/(x₂ -x₁)
Since graph passes through the points(3, 6) and (0, 2)
Slope m = (2 - 6)/ (0 - 3)
m = -4/-3 = 4/3
Thus, equation of line will be
y = 4/3x + c
Since the Line passes through (0, ,2 ) these point will satisfy the above equation
2 = 4/3 * 0 + c
=> c = 2
substitute the values
y = 4/3x + 2
3y = 4x +6
Therefore, equation of line that relates with the graph is 3y = 4x + 6.
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