Monica had friends over for a party and ordered pizzas for everyone to eat. After the party Monica saw that 1 2/3 of cheese pizza and 3/4 of the pepperoni pizza was eaten. A.) How much total pizza was eaten at the party? B.) If Monica ordered 4 pizzas for the party, how much was left over?
A. 1 2/3 cheese pizza was eaten
3/4 pepperoni pizza was eaten
In total
The total pizza that was eaten is
\(1\frac{2}{3}+\frac{3}{4}\)Convert the mixed fraction to improper fraction
This gives
\(\frac{5}{3}+\frac{3}{4}\)Add the fractions
\(\begin{gathered} \frac{5}{3}+\frac{3}{4} \\ =\frac{20+9}{12} \\ =\frac{29}{12} \\ =2\frac{5}{12} \end{gathered}\)Therefore the total pizza that was eaten is
\(2\frac{5}{12}\)B. If the total pizzas ordered is 4
The leftover pizza is
\(4-2\frac{5}{12}\)Substract
\(\begin{gathered} 4-\frac{29}{12} \\ =\frac{48-29}{12} \\ =\frac{19}{12} \\ =1\frac{7}{12} \end{gathered}\)Therefore, the leftover pizza is
\(1\frac{7}{12}\)Tad and his buddies drove to the orange bowl to see their favorite football team win the national championship because of heavy traffic they only avsraged 50 mph however on the return trip they averaged 75 mph if the total round trip took 12 hours how long did it take tad and his buddies to drive to the orange bowl
Answer:
7.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distance "D" = rate × time
or d = r × t.
Tad and his buddies drove to the orange bowl(while going) -50mph
Tad and his buddies while returning from a trip -75mph
Total round trip = 12 hours
Distance while going = 50 x t
Distance while returning = 75 (12 - t)
50t = 75(12 -t)
50t = 900 -75t
50t + 75t = 900
125t = 900
t = 900/125
t= 7.2
The total number of hours it takes Tad and his buddies to drive to the orange bowl is 7.2 hours.
The Robinson family is having new carpet installed in the dining room the carpet cost $299 for insulation and $15 for each square yard how many square yards of carpet can be installed at the total cost is $674
Subtract the fee from the total:
674 - 299 = 375
Now divide by the cost per square yard:
375 / 15 = 25
The answer is 25 square yards.
Answer:
45 square yards
Step-by-step explanation:
divide 674 by 15
I have been stuck on this for 1 hours someone plz help me
Answer:
answers in PDF
Step-by-step explanation:
3/5 of a number is 120.find 7/8 of the number
7/8 of the unknown number equals to 175.
Let's start by setting up an equation to represent the given information. We are told that 3/5 of a number is 120, so we can write:
(3/5)x = 120
To solve for x, we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:
x = 120 × (5/3)
x = 200
Therefore, the number is 200.
Now we need to find 7/8 of the number, which we can do by multiplying 200 by 7/8:
7/8 × 200 = (7/8) × (200)
= (7/8) × (25 × 8)
= 25 × 7
= 175
Therefore, 7/8 of the number is 175.
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Given the differential equation. d³y 2 dy + C dx 3 = cose c (3x) dx where C>0. Find the constant e if the Wronskian, W = 27. Hence, find the solution of the differential equation. Hint: Scosec cax) dx = + In|tan (2/12) |
Given that the differential equation is:d³y 2 dy + C dx 3 = cosec (3x) dx
Where C > 0, we have to find the constant e if the Wronskian, W = 27.
So, the given differential equation is:d³y/dx³ + 2dy/dx + Ccosec(3x) = 0
The characteristic equation is:m³ + 2m² + C = 0 ...(1)
From the given information, we know that the Wronskian is W = 27.
Let's try to find the solution of the differential equation.
As the equation has constant coefficients, let's assume that y = emx.
Substituting this in equation (1), we get:m³ + 2m² + C = 0
This equation should have three roots m₁, m₂, and m₃.
We know that the sum of the roots is equal to -2/1 = -2.
Also, the product of the roots is equal to -C/1 = -C.
Hence, by observation, we can say that the roots of the equation are m₁ = -1, m₂ = -1, and m₃ = -C.
As the roots are equal, we need to use the formula for repeated roots.
For m = -1, we get two linearly independent solutions as: y₁ = e^-x and y₂ = xe^-x
For m = -C, we get a solution as: y₃ = e^-CxBy applying L'Hopital's rule three times, we can obtain that the value of B is 1/6.
Hence, the general solution of the given differential equation is: y = c₁e^-x + c₂xe^-x + (1/6)e^-3xClearly, the Wronskian of the differential equation: y = c₁e^-x + c₂xe^-x + (1/6)e^-3xis given by:W = e^-2x(1/6) - 2(1/6)xe^-2x + [c₁e^-x(-1/6)] + [c₂e^-x(-1/6)] = -c₁/6So, we have W = -c₁/6 = 27
Thus, c₁ = -162.
Hence, the solution of the differential equation is: y = -27e^-x - 162xe^-x + (1/6)e^-3x
Therefore, the constant e is -162 and the solution of the differential equation is y = -27e^-x - 162xe^-x + (1/6)e^-3x.
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25.37 x 3.8
pls help
Answer:
96.406 :)
Step-by-step explanation:
Answer:
calculator
Step-by-step explanation:
i
Which word describes the relationship of the points (3, 1) and (3, 6)?Which word describes the relationship of the points (3, 1) and (3, 6)?
The two points (3, 1) and (3, 6) are collinear, as they lie on a vertical line with the same x-coordinate but different y-coordinates.
The two points (3, 1) and (3, 6) have the same x-coordinate, which means they lie on a vertical line passing through x = 3. Since the y-coordinates of the two points are different, the points are located at different heights on this vertical line. We can visualize this as a line that runs straight up and down along the y-axis, intersecting the x-axis at x = 3. Therefore, the relationship between these two points is a vertical one or they are vertically aligned.
In geometry, two points are said to have a vertical relationship or be vertically aligned if they lie on the same vertical line. In this case, the two points (3, 1) and (3, 6) have the same x-coordinate, which means they are located on the same vertical line passing through x = 3. This is different from a horizontal relationship, where two points lie on the same horizontal line with the same y-coordinate. By understanding the relationship between the two points, we can better visualize and understand their position in space.
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The complete question is:
The relationship between the points (3, 1) and (3, 6) is best described by which word?
A. collinear
B. parallel
C. perpendicular
D. coincident
What is the value of 2 3,152,300?
Answer:2000
Step-by-step explanation:They are asking for the value not the digit .The digit is 2 .It’s in the thousands place .So 2000is the value of 2.
1. Write three questions that could be used to challenge each claim.
The questions that could be used to challenge each claim goes as follows.
Nine out of ten mothers prefer Nutty brand peanut butter:What criteria were used to determine preference of mothers for the peanut butter?How many mothers were surveyed to reach conclusion?Were there other brands of peanut butter included in survey?Our disinfectant spray effectively kills 99.9% of germs in 30 seconds:What independent laboratory or organization conducted the tests to verify the claim?Will you provide specific details about the types of germs that were tested and killed by the disinfectant spray?Were there specific conditions that needed to be followed during the testing process to achieve the claimed effectiveness?Home Well, Canada's number one home furnishings retailer, is now hiring:What criteria or metrics were used to determine that Home Well is the number one home furnishings retailer in Canada?Are there any other reputable sources or rankings that support the claim of being the top home furnishings retailer?What positions are currently available for hiring and what are the specific qualifications or requirements for those positions?PowerPac batteries last longer than any other battery.What specific tests or experiments were conducted to compare the longevity of PowerPac batteries with other batteries?How were the batteries used during the testing process to ensure accurate and fair comparisons?Are there any independent studies or third-party verifications that support the claim of PowerPac batteries outlasting all other batteries?.Read more about Claim
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What is the value of the expression below when
w = 7 and x = 6?
5w — x
Answer:
The answer is 29
Step-by-step explanation:
5(7)-6 once you put it in the calculator you will get 29 as the answer for all of it. The w is 7 and when you place it next to the 5 you have to multiply it and then subtract it by the x which is the 6.
I hope this helps!
After substituting, the value of expression is 29.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is,
⇒ 5w - x
And, w = 7 , x = 6
Since, The expression is,
⇒ 5w - x
Substitute the value of w and x, we get;
⇒ 5×7 - 6
⇒ 35 - 6
⇒ 29
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Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?
Answer:
Moved the graph down by 4.
Step-by-step explanation:
By subtracting by 4 on the outside, you are moving it down 4.
Average after 20 rolls: Average after 40 rolls:
Answer:
25%
Step-by-step explanation:
Answer:
20 rolls: 10.5
40 rolls: 20.5
Step-by-step explanation:
next one is C
The average would approach a set value.
Express the volume of the rectangular prism below as a simplified expression:
Step-by-step explanation:
volume = length × width × height =
= 6 × sqrt(5) × 3 × sqrt(5) =
= 18 × sqrt(5) × sqrt(5) =
= 18 × 5 = 90 cm³
The length of a rectangle is 4.5 cm more than 4 times the width. if the perimeter of the rectangle is 60 cm, what are its dimensions
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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Rita made five boxes of cookies there was a total of 2400 cookies how many cookies were in each box ??
Answer:
2400/5 = 480
Step-by-step explanation:
while we can't be sure how many there is in each box exactly, we can say the average in each box is 480/box
Jeremiah writes the expression 40 minus (startfraction 1 over 10 endfraction times 40) to determine the number of questions answered correctly. Which is an equivalent expression? startfraction 9 over 10 endfraction times 40 40 minus 36 (startfraction 1 over 10 endfraction times 40) minus 40 (40 minus startfraction 1 over 10 endfraction) times 40.
Here on solving the give problem, with help of BODMAS , we get the answer = 36
What does math's Bodmas rule mean?The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule are used.
What distinguishes Pemdas and Bodmas from one another?Teachers in the United States often remind their pupils about the acronym PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction. BODMAS, which stands for brackets, ordering, division and multiplication, as well as addition and subtraction, is another acronym used by educators.
Here we have ,
\(40 - \frac{1}{10} X 40\)
\(40 - \frac{40}{10}\) ( here we solved multiplication first)
\(40 - 4\\\) ( Now we solved division)
36.
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Answer:
Step-by-step explanation:⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
helpp me plss i need to pass this class
The equation for a line passing through (-4, 6) and (1, 0) could be written in slope-intercept form as:
a. Y= -6/5X - 6/5
b. Y= -6/5X + 6/5
c. Y= -5/6X + 6/5
d. Y= 6/5X + 6/5
e. Y= 6X+ 6
Thank you.
Answer: b. Y= -6/5x + 6/5
First find the slope of your two points, then write your equation in point-slope form. Using your equation in point-slope form, you can solve and convert it to slope-intercept form.
Rewrite in simplest radical form 1 over the quantity x to the negative three sixths end quantity. show each step of your process.
Applying the property of exponents, the simplest radical form of \(\frac{1}{x^{-\frac{3}{6} }}\) is: \(\sqrt{x}\).
What is the Property of Exponents?The property of exponents that can be used to solve this problem are:
\(a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}\)
Given the expression, \(\frac{1}{x^{-\frac{3}{6} }}\), applying the property of exponents, we would simplify the expression as shown below:
\(\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }\)
Reduce the fraction
\(= x^{\frac{1}{2} }\\\\ = \sqrt{x}\)
Therefore, \(\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}\)
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someone helppp lol.
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
27 to the power of 10 minus 9 to the power of 14 is divisible by 24
The expression is congruent to 0 modulo 24, it is divisible by 24.
To determine whether 27^10 - 9^14 is divisible by 24, we can consider the expression modulo 24.
First, note that 27 is congruent to 3 modulo 24, since 27 = 24 + 3. Therefore, we can rewrite 27^10 as (24 + 3) ^10, and use the binomial theorem to expand it:
(24 + 3) ^10 = 24^10 + 1024^93 + 4524^83^2 + ... + 3^10
Thus, we have:
27^10 ≡ 3^10 (mod 24)
Similarly, 9 is congruent to -3 modulo 24, since 9 = 24 - 3. Therefore, we can rewrite 9^14 as (-3) ^14, and simplify it as follows:
(-3) ^14 = 3^14
Putting everything together, we have:
27^10 - 9^14 ≡ 3^10 - 3^14 (mod 24)
= 3^10(1 - 3^4) (mod 24)
= 3^10(-80) (mod 24)
= 0 (mod 24)
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Find the value of x.
x-2
12
36
18
24
27
36
11
9
10
12
Please help!
What is the value of x?
Answer:
12
Step-by-step explanation:
Answer: 10
Step-by-step explanation: Each side if the smaller shape is multiplied by 1.5 to get the dimensions of the larger shape. To find the value of x, you divide 12 by 1.5. Then you add 2 to that answer to get the value of x. \(12/1.5 = 8 + 2 = 10\)
For the past 16 months, susie has been paying $126.50 each month to her insurance company. after causing an accident last month, her insurance company notified her that her monthly payment will be increased by $21.25. what increase in her annual premium did susie’s insurance company apply as a result of the accident? a. $21.25 b. $125.60 c. $147.75 d. $255.00 please select the best answer from the choices provided a b c d
The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.
What is Health insurance?
Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.
Main body:
The increase in monthly insurance payment = $21.25
So, the annual increase in the premium amount paid by Susie will be:
Monthly increase in insurance payment × 12
(As there are 12 months in an year)
Annual increase in premium amount = $21.25 × 12
Annual increase in premium amount = $255
Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.
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PLEASE HELP! I WILL GIVE BRAINLIST
Select all of the right triangles.
Triangle ABC with AB = 30, BC = 40, and
AC=50
Triangle XYZ with XY = 1, YZ = 1, and XZ = 2
Triangle EFG with EF = 8, FG = 15, and EG = 17
Triangle LMN with LM = 7, MN = 24, and LN = 25
Triangle QRS with QR = 4, RS = 5, QS = 6
Answer:
A. C. And D.
Step-by-step explanation:
I searched it up for you, cause... I'm not good at this XD. I hope this helps :D
Given that the polynomial function has the Given zero, find the other zeros. f(x)=x^3-2x^2-11x+52; -4
ANSWER
The other two zeros are
• 3 + 2i
,• 3 - 2i
EXPLANATION
If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,
\(P(x)=(x-x_1)(x-x_2)(x-x_3)\ldots\)Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,
So f(x) is,
\(f(x)=(x+4)(x^2-6x+13)\)To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,
\(\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In this case a = 1, b = -6 and c = 13,
\(x=\frac{6\pm\sqrt[]{6^2-4\cdot1\cdot13}}{2\cdot1}\)\(x=\frac{6\pm\sqrt[]{36-52}}{2}\)\(x=\frac{6\pm\sqrt[]{-16}}{2}\)Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.
In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,
\(x=\frac{6\pm\sqrt[]{16i^2}}{2}\)And solve the square root,
\(x=\frac{6\pm4i}{2}\)We can distribute the denominator into the sum/subtraction,
\(x=\frac{6}{2}\pm\frac{4i}{2}\)And we get that the other two zeros are,
\(\begin{gathered} x_2=3+2i \\ x_3=3-2i \end{gathered}\)This agrees with the complex conjugate root theorem, which states that
Select the correct answer from each drop-down menu.
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are _______.
If point D divides in the ratio 4 : 5, the coordinates of point D are _______.
1st Blank
(5,-4)
(5,-2)
(10,-4)
(10,-2)
2nd Blank
(62/9,-4)
(58/9,-4)
(62/9,-2)
(58/9,-2)
Answer:
first blank would be 5,-2 and the second blank would be 58/9,-4
Assuming QF is the full employment equilibrium then in Figure 11.2, if the level of spending is equal to AD1 , the AD shortfall would be
A) Equal to XZ.
B) Greater than XZ.
C) Equal to XY.
D) Equal to YZ
B) Greater than XZ.
Assuming QF is the full employment equilibrium then in the Figure, if the level of spending is equal to AD1, the AD shortfall would be greater than XZ. The answer is B.
The respective figure as referred in the question is as attached.
What is the full employment equilibrium?Full employment equilibrium refers to the equilibrium where all resources in the economy are fully utilized (employed). Full employment is a situation in which all available labor resources are being used in the most economically efficient way, so there is no cyclical or deficient-demand unemployment.
When the natural rate of unemployment is equal to the unemployment rate, this means the cyclical rate of unemployment is zero. So, when this relationship happens, the economy is considered to be at full employment.
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Which correctly lists the area of the figures in order from least to greatest?
The correct arrangement of the areas of the figures from the least to the greatest is Y < X < Z.
What is the area of the figures?The area of the figures is calculated as follows;
area of the triangle;
Area = ¹/₂ x base x height
Area = ¹/₂ x 14 m x 22.5 m
Area = 157.5 m²
area of the circle is calculated as follows;
Area = πr²
where;
r is the radius of the circle = 14 m / 2 = 7 mArea = π x ( 7 m )²
Area = 153.94 m²
The area of the parallelogram is calculated as follows;
Area = base x height
Area = 15.5 m x 10.9 m
Area = 168.95 m²
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