Answer:
52% = 0.52
78/0.52 =150
150 students voted
Answer:
150
Step-by-step explanation:
When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes. you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.
This is a question on me homework and me need help so plz help
The school is having a play. They have sold a total of 1000 tickets. Student tickets cost $5 and
general admission tickets cost $8. The play made a total of $6461. How many of each student
and general admission tickets were sold?
The answer is (513, 487) or 513, 487
Answer:
Your answer is.....
Student ticket = 513
General ticket = 487
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
100 POINTS AND BRAINLY
Answer:
x = 20.6°
using cosine rule:
\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)
using the formula:
\(\sf cos(61)= \dfrac{10}{x}\)
\(\sf x= \dfrac{10}{cos(61)}\)
\(\sf x= 20.6\)
Answer:
x = 20.6 (nearest tenth)
Step-by-step explanation:
Trigonometric ratios
\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.H is the hypotenuse (the side opposite the right angle).To find the value of x in the given diagram use the cosine ratio.
From inspection of the given diagram:
θ = 61°A = 10H = xSubstitute the given values into the cosine ratio and solve for x:
\(\implies \cos(61^{\circ})=\dfrac{10}{x}\)
\(\implies x=\dfrac{10}{\cos(61^{\circ})}\)
\(\implies x=20.626653...\)
\(\implies x=20.6\; \sf (nearest\;tenth)\)
Therefore, the value of x to the nearest tenth is 20.6.
Sophia is younger than Mohal. Their ages are consecutive odd integers. Find Sophia's age if the product of their ages is 15.
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)
\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)
Deshaun borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 9%. The total interest that he paid was $144.
How much money did he borrow?
Answer:
$155.56
Step-by-step explanation:
S.I=(PRT)÷100
$144=(P×9×1)÷100
crossmultiply
$144×100=9P
P=$14400÷9
P=$155.56
What fractions are equivalent or equal to 1/2
Answer:
some examples are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14 and so on.
Step-by-step explanation:
any fraction with the numerator (number on the top) half of the denominator (number on the bottom) would apply to this.
Answer:
2/4, 5/10, 4/8, 3/6, 6/12, 7/14, 8/16, 9/18, 10/20
Step-by-step explanation:
They are all half of a number.
An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled
The two tanks differ in terms of Filling rates and initial volumes.
We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).
The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.
To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.
If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.
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Identify each number between 2.6×10^-1 and 29.5%. Select all that apply. Responses 2.7×10^1
0.2875
2/7
2.8%
Numbers between 2.6×10^-1 and 29.5% are
0.28752/7How to write the numbers to decimal2.6 × 10^-1 in exponential form written in decimal as 0.26
29.5% in percentage written in decimal as 0.295
2/7 in fraction written in decimal as 0.2857
2.8% in percentage written in decimal as 0.028
0.2875 already in decimal form
the problem asks of numbers from 0.26 to 0.295
comparing the numbers shows that the numbers in this range are
0.2875 and 2/7
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6x(x+5)+2(4-x)-x2(6-5x) simplify
Answer: 5x^3+28x+8
Step-by-step explanation:
There are multiple steps to this:
First perform distributive property to each set of parentheses:
ie. 6x(x+5) = 6x*x + 6x*5= 6x^2+30x
6x^2+30x+8-2x-6x^2+5x^3
Combine like terms giving you your answer:
5x^3+28x+8
Hope this helps :)
First if is an Eigenvector of the matrix A with Eigenvalue 4, will also be an Eigenvalue for any linear combination of the matrix A.
When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception.
What is matrix?
A matrix is a rectangular array or table of numbers, symbols, or formulae used to represent mathematical objects or qualities of such things. It is often arranged in rows and columns. For instance, a matrix contains two rows and three columns. a group of integers organized in a rectangular array in rows and columns. Matrix elements or entries refer to numbers. In several disciplines of engineering, physics, economics, statistics, and mathematics, matrices have a wide range of applications.
The eigenvalues and eigenvectors of the sum of two matrices are typically not the same as the sums of the eigenvalues and eigenvectors of the individual matrices. In actuality, there is no way to separate the eigenvalues of A and B from one another.
When a vector v is an eigenvector of both A and B, it is also an eigenvector of A+B, with an eigenvalue equal to the sum of its eigenvalues for A and B, respectively. There is, however, no reason to anticipate that two matrices will share an eigenvector in general. There is no method to create an eigenvector of A+B from two random eigenvectors of A and B alone.
When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception. In this situation, their invariant spaces coincide, and if both of them are diagonalizable, they are concurrently diagonalizable, which means that their eigenvectors do as well. As was already noted, in this specific instance, the eigenvectors of A+B are likewise the same.
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Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
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SOS HELP ME IM STUCK
Answer:
The answer is i think -12*2
Step-by-step explanation:
What is the 3rd quartile in the following data set? You may want to draw a box & whisker plot
to find the 3rd quartile. *
(5 Points)
{5, 16, 12, 3, 20, 15, 8)
16
12
15
5
Answer:
16
Step-by-step explanation:
Arrange date in order
3,5,8,12,15,16,20
find median in this case its 12 also khown as 2nd quartile know find the themedian of data that is on the right right of median or 2nd Quartiles That will be the 3rd quartile...
Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong
Answer:
4x25/100=1
Step-by-step explanation:
How I came up with it
4÷100=25
25÷25=1
Julie will only get a 1% discount
Hope it helps
Answer right and I’ll give you brainliest
Math
Level 1 L.13 Percent error: word problems 6UY
Language arts
Submit
yards
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◄) Turner plays running back on his middle school football team. He likes to predict how
many yards he will run the ball in each game. In last night's game, Turner ran for 50 yards.
He had predicted he'd run for 40% less than that. How many yards had Turner predicted he
would run for?
Skill plans
Video
Turner had predicted he would run for 30 yards in the game.
Define percentageIn terms of a number out of 100, a % is a means to express a proportion or a fraction. It is represented by the symbol "%". For example, if 25 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 25%.
To find out how many yards Turner predicted he would run for, we can use the following steps:
Convert the percentage reduction to a decimal: 40% = 0.4Subtract the reduction from 1 to find the percentage of the original amount: 1 - 0.4 = 0.6Multiply the percentage by the actual amount to find the predicted amount: 0.6 x 50 = 30Therefore, Turner had predicted he would run for 30 yards in the game.
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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3x^2 - 24 = 0 ......... Solve equation by taking square roots
Answer:
x = 2 √ 2 , − 2 √ 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
\(\displaystyle x=\±2\sqrt{2}\)
Step-by-step explanation:
\(3x^2-24=0\)
\(3x^2-24+24=0+24\)
\(3x^2=24\)
\(\displaystyle \frac{3x^2}{3}=\frac{24}{3}\)
\(x^2=8\)
\(x=\±\sqrt{8}\)
\(x=\±2\sqrt{2}\)
(90 Points)
(Score for Question 1: ___ of 10 points)
A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
• Define a variable for each unknown.
• Write a system of equations to represent the situation.
• How many full-page advertisements does Kathryn purchase?
• Show your work.
• How many half-page advertisements does Kathryn purchase?
Show your work.
Answer:
Let x = number of half-page advertisements
Let y = number of full-page advertisements
\(\begin{cases} 42x + 86y = 1192\\ x + y = 20\end{cases}\)
8 full-page advertisements
12 half-page advertisements
Step-by-step explanation:
Definition of variables
Let x = number of half-page advertisements
Let y = number of full-page advertisements
Given information:
cost per half-page advertisement = $42cost per full-page advertisement = $86total budget = $1192number of advertisements to purchase = 20Using the given information, we can write a system of equations:
Equation 1: 42x + 86y = 1192
Equation 2: x + y = 20
To solve the system of equations, rearrange Equation 2 to make x the subject:
⇒ x = 20 - y
then substitute this into Equation 1 and solve for y:
⇒ 42(20 - y) + 86y = 1192
⇒ 840 - 42y + 86y = 1192
⇒ 840 + 44y = 1192
⇒ 44y = 352
⇒ y = 8
Substitute the found value of y into Equation 2 and solve for x:
⇒ x + 8 = 20
⇒ x = 12
Therefore, Kathryn purchased:
8 full-page advertisements12 half-page advertisementsA cyclist travels 2 miles in 10 minutes and then a further 6 miles in 20 minutes without stopping. Calculate the cyclist's average speed in mph
Given :
A cyclist travels 2 miles in 10 minutes and then a further 6 miles in 20 minutes without stopping.
To Find :
The cyclist's average speed in mph.
Solution :
We know, average speed is given by :
\(Average\ speed = \dfrac{Total\ distance\ covered}{Time \ taken}\\\\Average \ speed = \dfrac{2+6}{10+20}\ miles/min\\\\Average \ speed = 0.267\ miles/min\)
Hence, this is the required solution.
Which of the following correctly shows the quotient of 80 divided by 5?
Answer:
option 3
Step-by-step explanation:
\(\frac{80}{5}=16\)
Answer:
number 3
is the correct one out of the 4
You are given $30 to buy sliced meat for a party and you are told to get roast beef and
turkey. Including tax, roast beef is $4 per pound and turkey is $3 per pound. If r represents
the number of pounds of roast beef and t represents the number of pounds of turkey.
Write an equation in standard form to relate the weight of each kind of meat you could buy
with your money.
Answer:
Step-by-step explanation:
rost beef 30-4=22
22-6=16
16-3=13
turky 13-3=10
10-4=6
6-6=0
Is X plus 3Y squared equals -6 linear
Answer:
no, it does not equal -6
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Here is a table of values for y= f(x).
x -2 -1 0 1 2 3 4 5 6
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
B. The range for f(x) is all real numbers.
C. f(-1) = 6
D. f(5) = -2
The statements that are true are:
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
C. f(-1) = 6
To determine the truth of each statement, we need to analyze the given table of values for the function f(x).
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.
B. The range for f(x) is all real numbers.
Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.
C. f(-1) = 6
From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.
D. f(5) = -2
There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.
In conclusion, the true statements are A and C.
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What is the probability that either event will occur? 17 A 29 B 14 P(A or B)
The probability that either event A or B will occur is 43/60
Getting probability value :Using the parameters given
n(A) = 29
n(B) = 14
Total number of events = 29+17+14 = 60
The probability of each event :
P(A) = 29/60
P(B) = 14/60
P(A or B ) = P(A) + P(B)
P(A or B ) = 29/60 + 14/60
P(A or B ) = 43/60
Therefore, the probability of A or B is 43/60
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The perimeter of a rectangle is 34 feet. The length, l, of the garden is 14.38. the length, l, of the garden is 5 more than 2 times the width. Find the measurement of the width of the garden
The width of the garden is 4 feet.
What is Rectangle ?
A rectangle is a quadrilateral with four right angles, opposite sides that are parallel, and equal in length. It is a type of parallelogram where the adjacent sides are equal in length, but the opposite sides are not necessarily equal.
Let's start by using the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
We know that the perimeter is 34 feet, so we can plug in that value and simplify:
34 = 2(l + w)
17 = l + w
We also know that the length is 5 more than 2 times the width, so we can write an equation for that:
l = 2w + 5
We can substitute this expression for l into the first equation:
17 = (2w + 5) + w
Simplifying, we get:
17 = 3w + 5
12 = 3w
w = 4
Therefore, the width of the garden is 4 feet.
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Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)
Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).
To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).
In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:
(x₁ + x₂)/2 = 1
(y₁ + y₂)/2 = 3
We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:
(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2
(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6
Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:
x₁ + (2-x₁) = 2 => x₁ = 1
y₁ + (6-y₁) = 6 => y₁ = 3
So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.
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Which one one of the gradient of the line shown above ?
look at the graph help me !!!
9514 1404 393
Answer:
A 3/2
Step-by-step explanation:
The graph crosses the y-axis at (0, -3) and the x-axis at (2, 0). Using the slope formula, we can find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (0 -(-3))/(2 -0)
m = 3/2 . . . . matches choice A
what is -1.89 x 7.2 please help will mark brainliest
Answer:
-13.608
Step-by-step explanation:
-1.89 * 7.2
- (1.89 * 7.2)
- (13.608)
-13.608
Answer:
-13.608
Step-by-step explanation: