Let:
C = Number of cars washed
T = Number of trucks washed
They washed a total of 80 vehicles, so:
\(C+T=80\)They raised a total of $486. They charged $5 to wash a car and $7 to wash a truck. so:
\(5C+7T=486\)Let:
\(\begin{gathered} C+T=80_{\text{ }}(1) \\ 5C+7T=486_{\text{ }}(2) \end{gathered}\)From (1) solve for T:
\(T=80-C_{\text{ }}(3)\)Replace (3) into (2):
\(\begin{gathered} 5C+7(80-C)=486 \\ 5C+560-7C=486 \\ -2C=486-560 \\ -2C=-74 \\ C=\frac{-74}{-2} \\ C=37 \end{gathered}\)Replace the value of C into (3):
\(\begin{gathered} T=80-37 \\ T=43 \end{gathered}\)They washed 37 cars and 43 trucks
If a faucet drips 2ml of water every second, how much water will it spill waste in 2 days?
Answer:
\(\boxed{345,600 mL}\)
Step-by-step explanation:
Hey there!
Well first we need to find the amount of seconds in a day,
24hrs in a day * 60 min in an hour
= 1440 minutes in a day
1440 min • 60 secs in a minute
= 86,400 seconds in a day
So now we do 2*86400 = 172800
172800 mL in a day
172800 * 2
= 345600 mL in 2 days
Hope this helps :)
a 2-pack of frozen burritos costs 2.32.what is the unit price ?
I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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I Need help ASAP will mark the brainliest
Answer:
EG and QM
Step-by-step explanation:
SAS or side angle side
so to start evaluate what u have already
EF =QN means that the two sides are congruent
then <MQN = <GEF
the angle Q is = to angle E
so fid the next two sides that fit the pattern or EG and QM
Find the measure of the supplement of a
33° angle.

Answer:
I can't see them but whichever one is 157 is the correct angle
Step-by-step explanation:
Supplementary angles are angles that equal 180 degrees.
180 - 33 = 157
So whichever angle equals 157 degrees, that is the correct one
subtract the degree given from 180
What is the median of the data set 11,13,15,21,23,31,31,33?
A. 31
B. 21
OC. 23
D. 22
Median:
The median in this set is the 5th term.
Therefore the median in this set is 23.
The highlighted part of this picture is a good representation of which geometric term?
A. line segment
B. ray
C. line
D. plane
The given figure is of two rays.
What is a ray of a line?The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction. Since a ray has no end point, we can't measure its length.
Given is a figure we need to identify that which geometric terms can be referred to it,
The figure is showing two arrows with a common starting points, the shape of a ray is similar to that of an arrow, the options given are not matching with the figure, because,
A plane is a flat surface on which a straight line lies.
A line is an infinitely long object.
A line segment is a part of line with two fixed endings.
Accept a ray no other option is satisfying the given figure.
Hence, the given figure is of two rays.
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The complete question is attached :-
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides estimates concerning the company’s costs:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
Lavage Rapide's total cost per car washed is $19.05.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.
The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.
To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:
Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed
Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)
Total Cost per Car Washed = $18,620 + $0.45
Total Cost per Car Washed = $19.05
Therefore, Lavage Rapide's total cost per car washed is $19.05.
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complete question:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
factor step by step:
x^2+1
Answer:
(x + i) (x - i)
Step-by-step explanation:
The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.
To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.
We can rewrite x^2 + 1 as:
x^2 + 1 = x^2 - (-1)
Now, we can use the difference of squares formula to factor x^2 - (-1):
x^2 - (-1) = (x + i)(x - i)
Therefore, the factored form of x^2 + 1 is:
(x + i)(x - i)
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 pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?
Answer:
12.60
Step-by-step explanation:
I don't feel like explaining it, since I'm not good at giving detail sorry <3
6% pay increases 62,900 thanks i look forward to the additional _ per month
Answer:
Step-by-step explanation:
$314.50
compare 9\10 and 3\2 on number line
Comparing the numerator 9 < 15 thus, 9/10 is less than 3/2.
What is common denominator?A multiple of the denominators of two or more fractions can be used as a common denominator to add, subtract, or compare the fractions. As fractions with dissimilar denominators cannot be added together or directly compared, they must be changed into comparable fractions with the same denominator. We must determine the least common multiple (LCM) of the fraction denominators in order to determine a common denominator. The lowest number that is a multiple of both denominators is known as the LCM. Once we have the common denominator, we may multiply the numerator and denominator by the same factor to change each fraction to an equal fraction with the same denominator.
The two values are 9/10 and 3/2.
Taking the LCM we have:
9/ 10 and 15/10
Now comparing the numerator 9 < 15 thus, 9/10 is less than 3/2.
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On number line we can compare 9/10 and 3/2 as 9/10 < 3/2.
What is number line?
A number line is a visual representation of numbers in order, usually shown horizontally. It is a line with a starting point and an endpoint that represent the smallest and largest numbers, respectively.
To compare 9/10 and 3/2 on a number line, we need to first convert them to the same denominator. The least common multiple of 10 and 2 is 10, so we can convert 3/2 to 15/10:
9/10 = 0.9
3/2 = 15/10 = 1.5
Now, we can plot these two numbers on a number line:
We can see that 9/10 is to the left of 3/2 on the number line.
Therefore we can compare 9/10 and 3/2 as 9/10 < 3/2.
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5. What is the degree of the following polynomial?
3x³ +9x²-x-10
A.) 4
B.) 5
C.) 3
D.) 6
Answer:
C
Step-by-step explanation:
the degree of a polynomial is the value of the largest exponent of the variable within the expression.
3x³ + 9x² - x - 10
the term 3x³ has the largest exponent in the expression
the polynomial is therefore of degree 3
four times as many as 4 pencils is p
Answer:
\(16=p\)
Step-by-step explanation:
Equation from problem:
\(4(4)=p\)
Solve:
\(16=p\)
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
According to the graph, how much money is spent on education?
8 million
16 million
12 million
4 million
Answer:
16
Step-by-step explanation:
Multiple choice (you can choose more than one)
Answer:
A and D
Step-by-step explanation:
Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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What is the inverse function of the function with the domain restriction ?
The inverse of the function is y is equal to √(1+x) and restricted domain and range are x ≥ 1 and y ≥ 0 respectively.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Here the function is not given, so we are assuming the function is:
f(x) = x² - 1
Here the domain of the function is x ∈ R (all real numbers0
And range of the function:
f(x) ∈ (-1, ∞)
Now finding inverse of a function:
\(\rm f^{-1}(x) = \sqrt{1+x}\) or
\(\rm y= \sqrt{1+x}\)
So the domain of the function is restricted and the domain of the function:
x ≥ 1
And the range of a function will be:
y ≥ 0
Thus, the inverse of the function is y is equal to √(1+x) and restricted domain and range are x ≥ 1 and y ≥ 0 respectively.
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Jesse makes a 6% commission on every spa where makes if he sold $875 worth of items this week, how much will he make in commission
Answer:
$52.50
Step-by-step explanation:
6% of 875
0.06*875
52.5
Jesse will make $52.50 in commission this week if he sold $875 worth of items.
What is the percentage?The percentage is the ratio of the composition of value to the whole composition of value multiplied by 100.
Here,
To calculate Jesse's commission, we can multiply the total sales by the commission rate:
Commission = Total Sales × Commission Rate
In this case, the total sales are $875 and the commission rate is 6%, so:
Commission = $875 × 6% = $52.50
Therefore, Jesse will make $52.50 in commission this week if he sold $875 worth of items.
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The Environmental Protection Agency records data on the fuel economy of many different makes of cars. Data on the mileage of 20 randomly selected cars are listed below. The values are ordered for convenience.
12 13 15 16 16 17 18 18 19 19
20 20 22 23 24 26 26 27 27 29
What is the interquartile range for the mileage data?
A) 8.5 miles per gallon
B) 16.5 miles per gallon
C) 17 miles per gallon
D) 25 miles per gallon
Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given
\(x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}\)
\(n = 20\)
Required
The IQR
This is calculated as:
\(IQR = Q_3 - Q_1\)
Calculate \(Q_1\)
\(Q_1 = \frac{1}{4}(n + 1)th\)
\(Q_1 = \frac{1}{4}(20 + 1)th\)
\(Q_1 = \frac{1}{4}(21)th\)
Remove bracket
\(Q_1 = 5.25th\)
This means that:
\(Q_1\) is the mean of 5th and 6th item
From the given data:
\(5th \to 16\)
\(6th \to 17\)
So, we have:
\(Q_1 = \frac{1}{2}(16 + 17)\)
\(Q_1 = \frac{1}{2}(33)\)
\(Q_1 = 16.5\)
\(Q_1 = 16.25\)
Calculate \(Q_3\)
\(Q_3 = \frac{3}{4}(n + 1)th\)
\(Q_3 = \frac{3}{4}(20 + 1)th\)
\(Q_3 = \frac{3}{4}(21)th\)
Remove bracket
\(Q_3 = 15.75th\)
This means that:
\(Q_3\) is the mean of 15th and 16th item
From the data:
\(15th \to 24\)
\(16th \to 26\)
So:
\(Q_3 = \frac{1}{2}(24 + 26)\)
\(Q_3 = \frac{1}{2}(50)\)
\(Q_3 = 25\)
Recall that:
\(IQR = Q_3 - Q_1\)
\(IQR = 25 -16.5\)
\(IQR = 8.5\)
Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions.
Suppose you have a sample of 25 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of sadness. The average 16-year-old has a score on the emotion recognition scale of 12.50. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed. You believe that children with antisocial tendencies will have a harder time recognizing the emotion of sadness (in other words, they will have higher scores on the emotion recognition test).
a. What is your null hypothesis stated using symbols?
b. What is your alternative hypothesis stated using symbols?
c. This is a _____________tailed test. Given what you know, you will evaluate this hypothesis using a ________statistic.
Answer:
H0 : μ = 12.50
H1 : μ > 12.50
T - test
Step-by-step explanation:
Given that:
Average, μ = 12.50
Null hypothesis, H0 ;
H0 : μ = 12.50
Alternative hypothesis, H1:
Haveing a greater score on emotion recognition scale;
H1 : μ > 12.50
This is a right tailed test because the equality sign in the alternative hypothesis statement is greater than (Hence to the right).
The hypothesis will be evaluated using a t-test; when sample size is small, usually lesser Than 30
Sample size, n = 25
n < 30 (use t - test)
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
A baker makes 60 muffins. He sells 24 of the muffins.
He put the rest of the muffins in boxes. Each box can hold 4 muffins.
Which equation can be used to find b, the number of boxes the baker will need?
OA.
B.
OC.
OD. (60
60+ 24 ÷ 4 = b
60 24 ÷ 4 = b
-
(60+24) ÷ 4 = b
24) = 4 = b
-
Answer:c
Step-by-step explanation:
c
Answer:b
Step-by-step explanation:
-40× +5y -125=0 relates y
Answer: −200y−125
Step-by-step explanation:
The product of two integers is -40. If
the sum of the two integers is -3, what
are the two integers?
Answer:
-20
Step-by-step explanation:
no cap