Answer:
The average salary is $57,500
Step-by-step explanation:
You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2
To find the total salaries"
18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000
2300000/40 = 57,500
List from least to the greatest: 7/4, 1.5, √2, √4 – 0.1
Answer: 0.1, 1.5, 7/4, 2, 4
Step-by-step explanation:
Find the amount in jay's account after 6 years when the principal deposit was $285 and is compounded annually with a rate of 1.9%.
The amount in Jay's account after 6 years is $357.20.
Given that, the principal=$285, time period=6 years and rate of interest =1.9%.
We need to find the amount in Jay's account after 6 years.
How to calculate the compound interest?Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is [tex]A=P(1+\frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Now, [tex]A=285(1+\frac{1.9}{100} )^{6}=285(1.019)^{6}[/tex]
=285×1.1195=$357.20
Therefore, the amount in Jay's account after 6 years is $357.20.
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HELPPPPPPPP PLEASEE
Answer:
35 x 30 X 27 x 30 is equal to your answer
Solve the equation 6x = 72 for x.
Answer:
x= 12
Step-by-step explanation:
6x = 72 (÷6)
6x/6 = 72/6
x = 12
4. What is the slope of the line that passes through the given points?
(3, 2) and (5, 12)
05
0-5
0-1
O
5
Answer:
5
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
12-2/5-3=
=10/2=5
The slope is 5.
Hope this helps!
Please mark as brainliest if correct!
What is a major area of jurisdiction for local law enforcement agencies
Answer:
Patrolling Communities.
Step-by-step explanation:
Bit much for this lol
ASSOCIATIVE PROPERTIES
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
Combine the expressions below. Replace subtraction by addition of opposites, if needed.
(a) 7x+3+6x+11
(b) 12x+10+3+8x
(c) 10y+12-7y-8-3y
What is an associative property?
According to the associative property, if three or more integers are classified differently, the total or product does not change. It is possible to apply this associative characteristic to addition and multiplication. Both (A + B) + C = A + (B + C) and (A + B) C = A + (B C) are used to represent it.In accordance with the associative property, it is irrelevant how the integers are grouped when adding or multiplying them, i.e., where the parenthesis are placed.Given expressions with rearrangement as per associative property are:
(a) 7x+3+6x+11
=(7x+6x)+(3+11)
(b) 12x+10+3+8x
=(12x+8x)+10+3
(c) 10y+12-7y-8-3y
=(10y-7y-3y)-(-12+8)
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A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS
The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.
What is the speed?Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.
And 2.5 hours are used traveling back.
Downstream, the boat moves 2 miles per hour more quickly.
Let the speed of travel upstream would be x
⇒ 3.5x = 2.5(x + 2)
⇒ 3.5x = 2.5x + 5
⇒ 3.5x - 2.5x = 5
⇒ x = 5
So the distance traveled by boat upstream would be
= 3.5 × 5
= 17.5 miles per hour
Therefore, the boat travels 5 miles downstream.
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3x + 2.3 = 11.6 help please
Solution:
[tex]x=3.1[/tex]
Hope this helps!
Answer:
x = 3.1
Step-by-step explanation:
3x + 2.3 = 11.6
3x = 11.6 - 2.3
3x = 9.3
x = 9.3/3
x = 3.1
Check:
3*3.1 + 2.3 = 11.6
9.3 + 2.3 = 11.6
A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their weights? be sure to include the appropriate units with the result.
The variance of their weights is 128.87270 kg².
It is required to find the variance of their weights.
What is standard deviation ?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
Let n=sample size=10 subjects
Standard deviation=11.352211.3522 kg
Using this formula
Variance=(Standard deviation)²
By the formula we get,
Variance=(11.352211.3522 kg)²
Variance=128.87270 kg²
Therefore, the variance of their weights is 128.87270 kg².
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put r^(2 )-15 = t+19 into a sentance
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.
The mathematical equation is given below.
r² - 15 = t + 19
In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
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The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
What is a word sentence?
A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.
Given:
The given equation is
[tex]r^{2}[/tex]-15 = t+19
According to given question we have
The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
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Are -345° and 2185° co-terminal?
Answer:
No
Step-by-step explanation:
You want to know if angles -345° and 2185° are coterminal.
Coterminal anglesAngles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.
-345° / 360° = -1 remainder 15°
2185° / 360° = 6 remainder 25°
These angles have different values, modulo 360°, so are not co-terminal.
On the following number line, what number would you plot at point C?
A
+++
6
06.038
6.408
6.82
6.983
6.1
6.2 6.3
B
++++
6.4 6.5 6.6
6.7
C
D
++++
6.9
7
6.8
The correct option is 6.82; the value of C on the number line is 6.82.
How do you defines the number line?A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.
A number line can be stretched in any direction indefinitely and is typically represented horizontally.The numbers here on number line rise as one moves left to right and fall as one moves right to left.A number line can be employed to depict both negative and positive integers.Creating numbers on the a number line facilitates number comparison. The numbers on the left of the number line have been smaller than numbers on the right.For, the given number line in the question;
As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.
Thus, the only option which shows this condition is 6.82.
Therefore, the value point C on the number line is 6.82.
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One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill it
in 24 minutes. If the tank is empty how long will it take the three pipes, operating together,
to fill it?
steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. working together, how long, to the nearest minute, would it take them?
Working together will take them 2 hours and 46 minutes which is 166 minutes.
What do we mean by equation?A mathematical statement made up of two phrases joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.So,
Consider these work rates in terms of "greenhouses per hour," rather than "hours per greenhouse." Steve's work rate is one-fourth of a greenhouse per hour, while his son is one-ninth of a greenhouse per hour. Now, multiply each rate by the time t to obtain the percentage of the greenhouse that each paints, and add the products to obtain one greenhouse.The work equation is now:
[tex]\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min[/tex]
Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.
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The cost of building a storage house is $70 per square foot flooring. what will it cost to build a storage house 12 feet wide and 10 feet long and 8 feet high?$
The cost of building a storage house is $89,600.
Area of rectangle:
Area of the rectangle is defined as the amount of space covered by a flat surface of a particular shape.
The formula for the area of the rectangle is,
Area of a Rectangle = (Length × Breadth) square units
Given,
The cost of building a storage house is $70 per square foot flooring.
Length = 10 feet
Width = 12 feet
Height = 8 feet.
Here we need to find the cost to build a storage house.
To find the cost of the storage,
First, we have to find the area of the storage house,
Apply the values on the formula, to find the area of the storage house,
=> A = 10 x 12
=> A = 120 square foot.
So, the cost of building the storage house is,
=> 120 x 70
=> 89600.
Therefore, the cost for building the storage is $89,600.
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You are graphing rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle: A(-7, -2), B(3, -2),A(−7,−2),B(3,−2),A, left parenthesis, minus, 7, comma, minus, 2, right parenthesis, comma, B, left parenthesis, 3, comma, minus, 2, right parenthesis, comma and C(3,-5)C(3,−5)C, left parenthesis, 3, comma, minus, 5, right parenthesis.
What are the coordinates of point DDD?
Answer:
5 units
Step-by-step explanation:
The graph, the coordinates of point D is (-7, -5).
The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).
We need to find the coordinates of point D.
How to plot the coordinates on the cartesian plane?A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.
The coordinates are plotted on the graph, shown below.
From the graph, the coordinates of point D is (-7, -5).
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Suppose that you are playing blackjack against a dealer. in a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?
The probability that neither you nor the dealer is dealt a blackjack will be 1/26.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck.
Then the total number of the event will be
Total events = 52
Then the probability that neither you nor the dealer is dealt a blackjack will be
Favorable event = 2 {Spade of Jack and Club of Jack}
Then the probability of that events will be
P = 2 / 52
P = 1 / 26
The probability that neither you nor the dealer is dealt a blackjack will be 1/26.
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-5/6+ 2/6
i really need help
Answer:
1 and 1/6 or 7/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
=5/6+2/6
=5/6+1/3
7/6
x-7=15 answer please
Answer:
22.
Step-by-step explanation:
22-7=15.
Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).
Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
As given in the question,
Coordinates of vertices K(-2,1) and M(10,6)
KM = [tex]\sqrt{ (10-(-2)^{2} +(6-1)^{2} }[/tex]
= [tex]\sqrt{12^{2}+5^{2} }[/tex]
= 13units
In equilateral triangle KL = LM = KM = 13 units
Perimeter of equilateral triangle KLM = 13 +13 +13
= 39 units
Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
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Three angles are shown, ZHRM, ZHRD, and ZDRM.
D
M
H
If m/HRM = 54°, m/HRD =
m/DRM =
(²7*+11) ².
4
R
(1/22 +22), ar
x
and
what is the value of x?
Answer:
28
Step-by-step explanation:
By the angle addition postulate,
[tex]54=\frac{1}{2}x+22+\frac{1}{4}x+11 \\ \\ 54=\frac{3}{4}x+33 \\ \\ 21=\frac{3}{4}x \\ \\ x=28[/tex]
Kyrie and Jayla were trying to describe parts
of the expression (5p+ 3)(p+1).
Jayla said, "The entire expression is the
sum of 5 terms."
Kyrie said, "The entire expression is the
product of 4 factors."
Step-by-step explanation:
did you leave something out ?
(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =
= 5p² + 5p + 3p + 3 = 5p² + 8p + 3
at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.
but we always have also additions, not only multiplications (products).
so, none of the 2 options is correct.
we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1
(5p + 3)(p + 1)×1×1
then we have the expression as product of 4 factors.
in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.
I strongly suspect there is something missing in the problem description.
Answer:
Neither is correct.
Step-by-step explanation:
The sum of 2, 6, and a number amounts to 15. Find the number.
Quadrilateral BASE is located at B (3, 4), A (-2, 3), S (4, 0), and E (-2, 5). BASE was dilated with a scale factor of 5 to create B’A’S’E’. Where is A’ located? Group of answer choices
A. (-10, 15)
B. (5, 5)
C. (15, 12)
D. (10, 15)
will give brainliest
The location of the point A' after dilation is; A'(-10, 15)
What is the result of dilation transformation?We are given that the Quadrilateral BASE is located at the following coordinates;
B(3, 4), A(-2, 3), S(4, 0), and E(-2, 5).
Now, if it is dilated by a scale factor of, it means that each of the coordinates values would be multiplied by 5 to get the new coordinates as;
B'(15, 20), A'(-10, 15), S'(20, 0), and E'(-10, 25).
Thus, we can conclude that the location of the point A' after dilation is; A'(-10, 15)
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Given f(x) = 3x+9 and g(x) = 5x-1, find f(g(x)).
Step-by-step explanation:
In this equation, given
f(x) = 3x + 9 and g(x) = 5x -1
So the question is what is the value of f if we put the value of g(x) in f(x)
So to solve the equation we need to replace the value of x in f(x) with g(x)
So it was obtained as below
f(g(x)) = 3(5x-1) + 9
= (15 x - 3) + 9
= 15 x + 6
Can someone help me with this please?
since you said please: 127*
The following histogram summarizes the amount spent on plane tickets to travel home, in dollars, for a group of 30 college students
The sum of the frequencies
Let’s assume hypothetical data, various values occur multiple times and we have divided that given data or values into a certain interval that interval is termed a class, and the lower value is called the lower limit and the upper interval is called the lower limit of that class respectively.
Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values when we add all these frequencies, we will get the number of elements in the given data.
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Although part of the question is missing the question is the following histogram summarizes the amount spent on plane tickets to travel home in dollars for a group of 30 college students. If the interval size is decreased from $200 to $100 which of the following must remain the same on the new histogram?
450 divisible by 2,3,4,5,6,8,9
or 10 explain why ! EXPLAIN WHY !?
Answer: 450 is divisible by 2, 3, 5, 6, and 9
Step-by-step explanation: 450 is divisible by 2 because the last digit (0) is an even number.
Divisible by three because the sum of all the digits in 450 is a multiple of three: 4+5+0 = 9 which is 3*3.
Divisible by 5 because it ends with a 0 (could also end in 5)
Divisible by 6 because it is divisible by both 2 and 3 (2*3=6)
Divisible by 9 because 45 is divisible by 9.
What is 6+42 for gcf
Answer:
48
Step-by-step explanation:
Essay writers are okay but seriously just gotta include the answer ;-;
Answer: 6 should be your answer
Explanation: Depending on how many and how large the numbers are, there are a variety of approaches to compute the GCF of a collection of integers.
Simply look at each number's components or multiples to get its largest common multiple for lesser numbers.
These factors look like this for 6 and 42:
1, 2, 3, and 6 are the six factors.
1, 2, 3, 6, 7, 14, 21, and 42 are the 42 factors.