There's 24 possible outcomes.
There's only 6 outcomes with the cube and 4 outcomes with the cards. Multiply 6 and 4 and you get 24.
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of
$3225. What was the rate charged per hour by each mechanic if the sum of the two rates was $190 per hour?
haue
?
The rate charged per hour by each mechanic was: x = 75 $ / hr and y = 115 $ / hr.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
Together they charged a total of $3225.
For this case we have the following variables:
x be the amount of $ / hr that the mechanic obtains 1.
y be the amount of $ / hr obtained by mechanic 2.
An equation to express this would be:
x + y = 190
20x + 15y = 3225
Solving the system of equations we have:
20x + 15(190 -x) = 3225
20x + 2850 - 15x = 3225
5x = 375
x = 75
simililary
y = 190 - x
y = 115
Hence, the rate charged per hour by each mechanic was:
x = 75 $ / hr
y = 115 $ / hr
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Can someone please solve this for me?
199 ÷ 3
Show your work and I'll give brianliest (I know the answer i just need someone to show their work on how to get it)
Answer:
66.333333333
Step-by-step explanation:
199/3
1/3=0 19/3= 6 19/3= 6
.1/3 is remaining so 066.333333
Answer: 66 and the remainder 1
Step-by-step explanation:
write the problem in a long division format.
divide 19 by 3 to get 6
multiply quotient digit (6) by the divisor 3
subtract 18 from 19
bring down the next number of the dividend
divide 19 by 3 to get 6
multiply quotient digit (6) by the divisor 3
subtract 18 from 19
66 and 1 as a remainder
20. in this problem we assume that fish are caught at a constant rate h independent of the size of the fish population. then y satisfies dy dt
the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
What is derivative?
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
dy/dt = 0
-r/k y²+ry-h=0
y = k/2(1±√(1-4h/rk))
Hence the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
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Pls help I am stuck Tysm
The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.
How did Katie miss a length ?Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.
This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.
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a) Estelle has some rectangular tiles that are 12 cm long and 4 cm wide.
What is the smallest number of these tiles that are needed to make a
square?
b) Mason has some rectangular tiles that are 11 cm long and 3 cm wide.
What is the smallest number of these tiles that are needed to make a
square?
a) The smallest number of tiles needed to make a square is 3.
b) The smallest number of tiles needed to make a square is 11.
a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.
To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.
Therefore, the smallest number of tiles needed to make a square is 3.
b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.
To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.
Therefore, the smallest number of tiles needed to make a square is 11.
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What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is D
Answer:
The expression for the required minimum sample size is \(n=[\frac{1.645\times\sigma }{D}]^{2}\).
Step-by-step explanation:
The (1 - α) % confidence interval for population mean is:
\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
The margin of error for this interval is:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
Confidence level = 90%
α = 10%
Compute the critical value of z for α = 10% as follows:
z = 1.645
*Use a z-table.
Compute the sample size required as follows:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
\(n=[\frac{z_{\alpha/2}\times\sigma }{MOE}]^{2}\)
\(n=[\frac{1.645\times\sigma }{D}]^{2}\)
Thus, the expression for the required minimum sample size is \(n=[\frac{1.645\times\sigma }{D}]^{2}\).
Perform the following operation. Write the answer in scientific notation.
0.008/40,000
(Use the multiplication symbol in the math palette as needed.)
Answer:
8.0 × 10^-3 ÷ 4.0 × 10^4
= 2.0 × 10^-3-4
= 2.0 × 10^-7
or 0.0000002
PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
sec(theta) = 1/cos(theta)
I believe that is your option D
A musical group performs two concerts. a total of 512 people attend the two concerts. the bar model represents the number of people that attend each concert. which expression models the number of people attending concert 1?
The expression that models the number of people attending concert 1 is given as follows:
512/6.
How to obtain the number of people attending concert 1?The number of people attending concert 1 is obtained applying the proportions in the context of the problem.
From the bar model, the fractions corresponding to each concert are given as follows:
Concert 1: 1/6.Concert 2: 5/6.The total number of people is given as follows:
512.
Hence the expression that models the number of people attending concert 1 is given as follows:
512/6.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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peery company acquired 100%
8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation
Answer: 2xy • (4x - 5y)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
((8 • (x2)) • y) - (2•5xy2)
STEP 2:
Equation at the end of step 2:
(23x2 • y) - (2•5xy2)
STEP 3:
STEP 4:
Pulling out like terms
4.1 Pull out like factors :
8x2y - 10xy2 = 2xy • (4x - 5y)
Final result :
2xy • (4x - 5y)
7 9 4
-2 4 -3
3 10 0
Inverse of this
Answer:
The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0
Step-by-step explanation:
If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $71
Selling price: $86.45
Tax amount: $
Tax rate: %
well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.
now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
a movie theater has 7 shows a day 4 days per week and 11 shows a day 2 days per week together how many shows in 6 days
The movie theater will have 50 shows in 6 days
To find the total number of shows in 6 days, we need to calculate the number of shows for each type of day (4 days per week with 7 shows per day and 2 days per week with 11 shows per day) and then add them together.
First, let's calculate the number of shows for the 4 days per week with 7 shows per day:
4 days per week x 7 shows per day = 28 shows per week
Next, let's calculate the number of shows for the 2 days per week with 11 shows per day:
2 days per week x 11 shows per day = 22 shows per week
Now, we can add the number of shows for each type of day together to find the total number of shows in 6 days:
28 shows per week + 22 shows per week = 50 shows in 6 days
We used multiplication to calculate the number of shows per week for each type of day (by multiplying the number of days by the number of shows per day) and then added the two results together to find the total number of shows in 6 days.
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Which of the following is equal to 7 1/4
Answer:
D. \(\sqrt[4]{7}\)
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
The difference of the reciprocal of a number and 7/104 is 3/52 find the number
Answer:
Step-by-step explanation:
1/x - 7/104 = 3/52
1/x = 6/104 + 7/104 = 13/104
104/13 = x
Find the domain and range of the function shown.
Please help I’ll mark brainliest thank you.
Answer:
A
Step-by-step explanation:
Remember domain is input and range is output.
Input: All real numbers
Output: [0, infinity)
A
Fun center rents popcorn machines for &20 per hour. In addition to the hourly charge, there is a rental fee of $35. Is this proportional or not?
Answer:
No. It is not proportional.
Find the area of this triangle
Answer:
22
Step-by-step explanation:
22 is the area of the given traingle
help please ill give you brainliest !! and show work please
find the length of SEGMENT BC
Answer:
BC = 4
Step-by-step explanation:
The diagram shows a circle with radius AE and chord BD.
Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.
This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.
The length of the radius is:
\(AE = 3 + 2 = 5\)
As AB is also the radius, AB = 5.
To find the length of BC, use Pythagoras Theorem:
\(AC^2+BC^2=AB^2\)
\(3^2+BC^2=5^2\)
\(9+BC^2=25\)
\(9+BC^2-9=25-9\)
\(BC^2=16\)
\(\sqrt{BC^2}=\sqrt{16}\)
\(BC=4\)
Therefore, the length of line segment BC is 4.
Given: 8(y + 2) = 48
Solve for “y.”
16
-6
20
4
The value of y will be equal to 4. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression 8(y + 2) = 48 will be solved for y as below:-
8(y + 2) = 48
Divide both sides by 8 and solve.
[ 8 (y + 2) ] / 8 = 48 / 8
y + 2 = 6
Substract 2 from both the sides to get the value of y.
y + 2 - 2 = 6 -2
y = 4
Therefore, the value of y will be equal to 4. The correct option is D.
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Which decimal is equivalent to
19/50
A.
0.19
B.
0.34
C.
0.38
D.
2.63
Answer:
c
Step-by-step explanation:
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
Find Linear Functions using Graphs: y = 6x - 4
Answer:
\(x=\frac{y+4}{6}\)
Step-by-step explanation:
y=6x−4
Swap sides so that all variable terms are on the left hand side.
6x−4=y
Add 4 to both sides.
6x=y+4
Divide both sides by 6.
\(\frac{6x}{6}=\frac{y+4}{6}\)
Dividing by 6 undoes the multiplication by 6.
\(x=\frac{y+4}{6}\)
Divide y+4 by 6.
\(x=\frac{y}{6} +\frac{2}{3}\)
ANSWER:
x=1/6y + 2/3
y= 6x - 4
Consider the function y= f(x) shown below. Which of the following statements is true?
Answer: d) none of these
Step-by-step explanation:
\(a)\quad \displaystyle \lim_{x \to 1} f(x)=\large\boxed{1} \\\\\\b)\quad f(1)=\large\boxed{3}\\\\\\c) \displaystyle \lim_{x \to 1} f(1) \neq f(1) \quad \text{therefore it is not continuous}\\\\\\d) \displaystyle \lim_{x \to 1} f(1) = 1,\quad f(1)=3\quad \longrightarrow \quad \displaystyle \lim_{x \to 1} f(1) \neq f(1)\)
Which pair of ratios is proportional?
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation:
The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Here,
A) 6/21 and 2/42
2/7 and 1/21
So, the given ratios are not in proportion.
B. 25/100 and 50/150
1/4 and 1/3
So, the given ratios are not in proportion.
C. 18/24 and 6/12
3/4 and 1/2
So, the given ratios are not in proportion.
D. 7/14 and 20/40
1/2 and 1/2
The given ratios are in proportion.
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which pair of ratios is proportional?
A. 6/21 and 2/42
B. 25/100 and 50/150
C. 18/24 and 6/12
D. 7/14 and 20/40