Answer:
Simplifying
2xy + -4xy = 0
Combine like terms: 2xy + -4xy = -2xy
-2xy = 0
Solving
-2xy = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-2'.
xy = 0
Simplifying
xy = 0
The solution to this equation could not be determined.
Step-by-step explanation:
i only got the first 1 sry
Tali is trying to find the thickness of a page of his telephone bookTo do this, he takes a measurement and finds out that 550 pages measure 1.25 inches. What is the thickness of one page of the phone book ?
Answer:245
Step-by-step explanation:
hope this helps
Lindsey used 1 gallons of tan paint for
the ceiling and 43 gallons of green paint
for the walls of her kitchen. How much
paint did Lindsey use in all? Use fraction
strips to help.
Answer:
Step-by-step explanation:
To add the amounts of paint used, we need to have a common unit of measurement. One way to do this is to express both amounts in terms of a fraction of a gallon. Let's start by expressing 1 gallon as a fraction of a gallon using fraction strips.
We can use a fraction strip with 8 equal parts to represent 1 gallon, so each part represents 1/8 of a gallon.
1 gallon = 8/8
|-------|
1/8 1/8
Now let's express the amount of tan paint Lindsey used in terms of this fraction. Since she used 1 gallon, which is the same as 8/8 of a gallon, we can represent this amount on the fraction strip as follows:
1 gallon = 8/8
|-------|
8/8 0/8
Next, let's express the amount of green paint Lindsey used in terms of this same fraction. She used 43 gallons, so we can represent this amount on the fraction strip as follows:
43 gallons = 344/8
|----------------|
8/8 8/8 ... 8/8 (43 times)
To add these two amounts, we can simply combine the fraction strips by stacking them on top of each other.
1 gallon = 8/8
|-------|
8/8 0/8
43 gallons = 344/8
|----------------|
8/8 8/8 ... 8/8 (43 times)
Total = 352/8
= 44
So Lindsey used a total of 44 gallons of paint.
Suppose that the grades of Business Mathematics and Statistic module is modeled well
by a normal probability distribution with mean (212) and standard deviation (122). Let
X be the random variable representing this distribution. Find two symmetric values "a"
and "b" such that Probability [ a
Answer:
a = -2.57 and b = 2.57
Step-by-step explanation:
Explanation:
Given mean of the Population = 212
Standard deviation of the Population = 122
Let X be the random variable of the Normal distribution
\(Z = \frac{x-mean}{S.D}\)
Given P( a ≤ z ≤b) = 0.99
put a=-b
P( -b ≤ z ≤b) = 0.99
⇒ |A( b) - A( -b)| =0.99
⇒ | A( b) + A( b)| =0.99
⇒ 2 |A (b)| = 0.99
⇒ | A(b)| = 0.495
From normal table find value in areas
b = 2.57 ( see in normal table)
Given a =-b
a = - 2.57
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
1) complete the special right triangle
what is length of BD
what is length of BC
Answer:
\(BD = 4\)
\(BC =4\sqrt 3\)
Step-by-step explanation:
Given
The attached triangle
Required
Find BD and BC
Solving BD
Considering angle at D, we have:
\(\cos(D) = \frac{Adjacent}{Hypotenuse}\)
\(\cos(60) = \frac{BD}{8}\)
Solve for BD
\(BD = 8 * \cos(60)\)
\(\cos(60) = 0.5\) So:
\(BD = 8 * 0.5\)
\(BD = 4\)
To solve for BC, we make use of Pythagoras theorem
\(CD^2 = BC^2 + BD^2\)
This gives
\(8^2 = BC^2 + 4^2\)
\(64 = BC^2 + 16\)
Collect like terms
\(BC^2 =64-16\)
\(BC^2 =48\)
Take square roots
\(BC =\sqrt{48\)
Expand
\(BC =\sqrt{16*3\)
Split
\(BC =\sqrt{16}*\sqrt 3\)
\(BC =4\sqrt 3\)
Karen sold 15 hand-made bracelets, earning a total profit of $71.25. She plans to make 25 bracelets for her city’s arts and crafts market. If she sells all 25 bracelets, how much profit can Karen expect to earn?
Answer: $118.75
Step-by-step explanation: first to see how much one bracelet is, you have to do 71.25/15=4.75. one bracelet is $4.75. so now we multiply 4.75 by 25 to see how much 25 bracelets cost. 4.75x25=118.75. so, if Karen seems all of her bracelets, she can expect to make $118.75.
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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There are at least 1,350 students at school today. Which inequality represents this situation?
A x>1,350
B x≤1,350
(C) x ≥ 1,350
D x<1,350
The inequality that represents the situation given is option c x ≥ 1,350
Given,
There are at least 1,350 students at school today.
We have to find the inequality which represents the situation;
Inequality;-
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Here,
At least means minimum of. That is, greater than or equal to.
So,
x be the number of students.
Then,
x ≥ 1350 represents the number of students.
That is,
x ≥ 1350 (option C) is the inequality which represents the situation given here.
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In 2003, a particular company had 1086 stores and in 2007 there were 1068 stores. Write a linear equation that gives the number of stores in terms of the year. Let t = 3 represent 2003.
y(t) =
Predict the number of stores for the years 2012 and 2014. (Round your answers to the nearest whole number.)
2012 stores
2014 stores
Are your answers reasonable? Explain.
No, the number of stores increases as t decreases.
Yes, the number of stores decreases as t increases.
Yes, the number of stores decreases as t decreases.
No, the number of stores increases as t increases.
No, this company will always have stores.
To predict the number of stores for the years 2012 and 2014, we need to substitute t = 9 and t = 11 respectively: y(9) = -4(9) + 1098 = 1062 and y(11) = -4(11) + 1098 = 1054
What is Linear equation?
Linear equation can be defined as equation in which highest degree is one.
To write a linear equation that gives the number of stores in terms of the year, we can use the two given data points: (t=3, y=1086) and (t=7, y=1068).
We can start by finding the slope of the line:
slope = (y2 - y1) / (t2 - t1) = (1068 - 1086) / (7 - 3) = -4
Using the point-slope form of a line, we have:
y - y1 = m(t - t1)
y - 1086 = -4(t - 3)
y = -4t + 1098
These predicted values are reasonable because they indicate a decreasing trend in the number of stores over time, which is consistent with the given data points.
Therefore, To predict the number of stores for the years 2012 and 2014, we need to substitute t = 9 and t = 11 respectively: y(9) = -4(9) + 1098 = 1062 and y(11) = -4(11) + 1098 = 1054
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Liang has five balloons that are identical, except for their colour. Three are red (each labelled with an R) and two are green (each labelled with a G). He wants to put the five balloons in a row, but he is not sure which order he likes the best. How many different ways are there to arrange the five balloons in a row?
And please dont say some random answer or scam link.
Using the arrangements formula, it is found that there are 10 different ways to arrange the five balloons in a row.
What is the arrangements formula?The number of possible arrangements of n elements is the factorial of n, that is:
\(A_n = n!\)
When elements repeat \(n_1, n_2, \cdots n_n\) times, we have that:
\(A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}\)
In this problem, 5 elements, repeating 3 and 2 times, hence:
\(A_5^{3,2} = \frac{5!}{3!2!} = 10\)
There are 10 different ways to arrange the five balloons in a row.
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Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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I am having trouble with this problem, could you pleas explain it to me. Thank you.
There are a total of 6 lettered buttons on the controller. Since the special moves require two buttons pressed at the same time, the order does not matter. We therefore get
\(\begin{gathered} \binom{6}{2}=\frac{6!}{2!(6-2)!} \\ \binom{6}{2}=\frac{6\cdot5\operatorname{\cdot}4\operatorname{\cdot}3\operatorname{\cdot}2\operatorname{\cdot}1}{(2\operatorname{\cdot}1)(4!)} \\ \binom{6}{2}=\frac{720}{2(4\cdot3\operatorname{\cdot}2\operatorname{\cdot}1)} \\ \binom{6}{2}=\frac{720}{2(24)} \\ \binom{6}{2}=\frac{720}{48} \\ \binom{6}{2}=15 \end{gathered}\)Therefore, there are a total of 15 possible combinations.
One number is 10 more than twice another. Their sum is 1. Find the numbers
Answer:
-3 and 4
Step-by-step explanation:
We can start naming the first number x
Hence, the second number would be 10+2x
Set up an equation.
10+2x+x=1
Combine like terms
10+3x=1
Subtract 10 from both sides
3x=-9
Divide both sides by 3.
x=-3
The first number is he first is -3.
Plug that into the expression for the second number.
10+2x
10+2(-3)
10-6
4
The two numbers are -3 and 4.
pls help me im sooo stuck on math
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The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%
The probability in percentage form is P(divisor of 54) = 29.6%
How to find the probability?The divisors of 54 are:
2, 3, 6, 9 (in the range we care)
Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.
So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:
P(divisor of 54) = 16/54
P(divisor of 54) = 0.296
To write it as a percentage just multiply it by 100%.
P(divisor of 54) = 0.296*100% = 29.6%
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Hi can anyone answer this thank youu sm
Answer:
f = 18
Step-by-step explanation:
We know
The equation of proportionality is f = 6g
Work out the value of f when g = 3
f = 6(3)
f = 18
Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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On vacation we went to a bike rental shop. They charged a $12
fixed fee plus $7 an hour for renting a bike. I paid $64 dollars to rent a bike. How many hours did I pay to have the bike checked out? Write out equation and solve. Show work
What value does the 7 represents in the number 94.087?
0.007, also known as the thousandths place in decimals.
write 0.74 (only 4 is recurring) as a fraction pls
Answer:
67/90
Step-by-step explanation:
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
Quadrilateral RSTU is similar to quadrilateral LMNO. What is the value of LO if RU is 6 inches, LM is 45 inches, and RS is 9 inches?
The value of LO if RU is 6 inches is solved to be 30 inches
What are similar polygons?This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions
Examining the figure when LM is 45 inches, and RS is 9 inches
the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5
9 * 5 = 45
when RU = 6 inches
6 * 5 = 30 inches
hence LO is 30 inches
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f(x)=-12x^3-14x^2+6x
Which two values of x are roots of the polynomial below?
x2 + 5x + 11
answer
\( \frac{ - 5 + \sqrt{19} }{2} = - 0.321\)
\( \frac{ - 5 - \sqrt{19} }{2} = - 4.679\)
-0.321 and - 4.679 s.w z
Solve logx + 5 36 = 2.
Answer: Just Add
Step-by-step explanation:
Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1
Answer:
The correct answer is D. 0 + 1 = 1
Step-by-step explanation:
To determine the correct option, we must first perform the calculation raised in the question:
2/9 + 10/11 = X
0.22 + 0.9 = X
1.12 = X
Thus, rounded to the nearest whole number, this mathematical operation would be similar to option D, which raises the sum of 0 + 1. This is because 0.22 is rounded to 0, while 0.90 is rounded to 1.