v = l x w x h
v = 2058
width = x
height = 2x
length = 3x
2058 = 3x*2x*x =
2058 = 6x^3=
343 = x^3
x = 7
2*7 = 14
3*7 = 21
21*14*7 = 2058
height is 14 cm
A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different groups can he select?
The number of groups the science teacher can make is 5.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total number of students is 20.
And, the number of students in one group is 4.
Now, the number of groups can be found using the following operation as,
Number of group = Total students ÷ Number for each group
⇒ 20 ÷ 4 = 5.
Hence, the total number of groups can be obtained as 5.
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A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given question,
Buying cost of car = $2800
Selling cost of car = $4500
Percentage change = (change/original) × 100
Percentage change = [(4500 - 2800)/(2800)] × 100
Percentage change = [(1700)/2800] × 100
Percentage change = 0.607 × 100
⇒ 60.72%
Hence "The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%".
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p: If two out of five people use the subway every day, then the probability of a person using the subway is 0.4.
2 divided by 5 = 0.4
so that statement is true.
Kira and ahmad walk around a track. Kira walks each lap in 10 minutes.Ahmad walks each lap in 12 minutes. The two of them begin at the starting line at the same time.They walks until they meet again at the starting line. How much times does it take for them to meet again at the starting line? How many laps did kira complete? How many laps did ahmad complete Plz help <3
Convert 9.46 x 10^12 to expanded form
I need help with number 8,please.
1. Find a counterexample.
If two angles are complementary, then they are not congruent.
What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
Is this a function?
Which fraction represents the decimal .12 repeating
The answer is c.) 4/33
Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86
Dan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the rest. What expression can you use to find out how many roses and carnations Dan sells in in a week.
evaluate the expression to find out how many roses and carnations dan sells in a week
Determine the slope of a line perpendicular to the line with equation 6x-4y= 30
Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?
The probability that a multiple of 4 or 5 is chosen is 2/5.
The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20
The probability of choosing a multiple of 4
25/100 = 1/4
The probability of choosing a multiple of 5
20/100 = 1/5
The probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice.
5/100 = 1/20
20, 40, 60, 80, 100
When or is used, add the probabilities, and subtract the duplicates.
1/4 + 15 - 1/20
=5/20 + 4/20 - 1/20
= 8/20
= 2/5
The probability that a multiple of 4 or 5 is chosen is 2/5.
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Converting improper fractions to mixed numbers questions
If the polynomial x5 − 105 can be split as the product of the polynomials x − 10 and a, what is a?
Answer:
Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
Step-by-step explanation:
we know that:
[tex]x^n-a^n=(x-a)(x^{n-1}+ax^{n-2}+a^2x^{n-3}+...+a^{n-2}x+a^{n-1})[/tex]
Here, a=10 and n=5
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000)[/tex]
[tex]x^5-10^5=(x-10)a[/tex]
⇒ [tex]a=x^4+10x^3+100x^2+1000x+10000[/tex]
Hence,Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
Jamir spent $15 on Halloween candy. If each bag of candy costs $2.50, how many bags of candy did he buy?
To find out how many bags of candy Jamir bought with $15, divide the total spent by the cost per bag, which is $2.50. This calculation is similar to finding total spend on fruits by multiplying the quantity by price per unit. Jamir was able to buy 6 bags of candy.
Explanation:To answer the question of how many bags of candy Jamir bought, we need to perform a basic division operation.
The total amount Jamir spent on Halloween candy is $15, and he purchased each bag for $2.50.
Therefore, to find the total number of bags of candy that Jamir bought, we divide the total amount spent by the cost per bag.
Drawing a comparison to similar calculations, if we look at other examples such as spending on fruits, we can see a consistent method of calculation:
10 apples at 50 cents each results in $5.00 spent on apples.
12 bananas at 20 cents each gives us a total of $2.40 spent on bananas.
Similarly, 2 bunches of grapes at 65 cents per bunch would equal a spend of $1.30.
Lastly, if we purchase 1 pint of raspberries at $2 each, we spend $2.00 on raspberries.
The same concept applies to Jamir's Halloween candy purchase. By dividing $15 by $2.50, we get the number of bags he was able to buy, which is 6 bags of candy.
Therefore, Jamir bought 6 bags of Halloween candy with his $15.
Final answer:
Jamir was able to buy 6 bags of Halloween candy for $15, given each bag's price of $2.50.
Explanation:
Jamir spent $15 on Halloween candy, with each bag costing $2.50. To find out how many bags of candy Jamir could buy, we divide the total amount spent by the cost per bag of candy.
The calculation would be as follows:
Divide the total amount spent, $15, by the cost per bag, $2.50.
$15 ÷ $2.50 = 6.
Therefore, Jamir bought 6 bags of Halloween candy.
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation.
Plot the point _______, move _______ unit(s) down, and _______ unit(s) over to find the next point on the line.
Jon places a dot on a coordinate plane at (-10, -4). He wants to place another dot across the y axis, and it must be 14 points away. Where will Jon place the other dot?
The coordinates of the other dot across the y-axis will be located at (4,-4).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).
Thus, the coordinates of another dot across the y-axis will be located at (4,-4).
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PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?
What is the best first step for solving the given system using substitution while avoiding fractions?
2x+6y=7
6x+18y=24
a. Solve for x in the first equation.
b. Solve for y in the first equation.
c. Solve for x in the second equation.
d. Solve for y in the second equation.
The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them to drift 500 km farther apart than they are at present?
The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.
Explanation:The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:
Time = Distance / Rate
First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.
Using the formula, the time it will take is:
Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.
√(-3) is negative, positive, undefined, or an integer
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
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The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
An isosceles trapezoid is a type of trapezoid (a quadrilateral with at least one pair of parallel sides) where the non-parallel sides are congruent (have the same length). The base angles, formed by the intersection of the non-parallel sides and the parallel sides, are also congruent in an isosceles trapezoid.
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
What is the length of HN
hn is half the total length
38/2 = 19
explain too
1.Evaluate the expression.
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
HELP PLEASE The Appalachian Mountains had what effect on the people of the thirteen original colonies? A) they acted as a barrier to further settlement to the west B) they provided protection to the colonists from invading Indians C) they provided protection to the colonists from Spanish conquistadors D) animals lived there and were an important food source to major cities in the East
the answer is...