Using a system of equations, the numbers of each machine made are given as follows:
Dining: 19Coffee: 19End: 16.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable x: Number of dining tables made.Variable y: Number of coffee tables made.Variable z: Number of end tables made.The factory needs to make 54 tables each day, hence:
x + y + z = 54.
The number of dining tables made per day should equal the number of coffee tables, hence:
x = y.
Then, on the first equation:
2y + z = 54.
The number of coffee tables should be three more than the number of end tables, hence:
y = z + 3.
Replacing in the equation 2y + z = 54:
2(z + 3) + z = 54
3z = 48
z = 16.
Then:
y = z + 3 = 19.x = y = 19.The numbers of each machine made are given as follows:
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What are the three principles of describing data?
dispersion, range and standard deviation mean, median and mode
Mean, median and mode are the three principles of describing data.
Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.
The three principles of describing data are-
Mean:- The summation of all the values divided by the total number of values, is called mean. It is also called as average.Median:- The middle value is called median.Mode:- The value, which occurs most often in a set of all values, is called mode.Thus we can conclude that, mean, median and mode are the three principles of describing data.
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The data set represents the number of pages in the last book read by each of 20 students over the summer. 163, 170, 171, 173, 175, 205, 220, 220, 220, 253, 267, 281, 305, 305, 305, 355, 371, 388, 402, 431 Create a histogram to represent the distribution of the data.
The required histogram is attached as a picture.
Given the information on how many pages each of the 20 pupils read throughout the summer.
163, 170, 171, 173, 175, 205, 220, 220, 220, 253, 267, 281, 305, 305, 305, 355, 371, 388, 402, 431
With frequency on the y axis and class on the x axis.
we observe the histogram and make out that:
class 160 - 220 has the highest frequency of 6 students whereas
400 - 460 has the least with 2 students.
The classes between them range as follows:
220 - 280 has 5 students
280 - 340 has 4 students
340 - 400 has 3 students.
Hence the required histogram is created .
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Algebra Challenge
1. Simplifying Expressions
Demam
The elementary school is building a new triangular playground that they want to
fence in. Given the three side lengths of 2x-1, 4x and 12x + 5 find the value of x
when the perimeter of the playground is 112 ft.
The situation can be represented by
nswer:
(2x-1)+4x+(12x+5)=114
Answer: Answer is 6.11
Step-by-step explanation:
Lets solve this equation (2x-1)+4x+(12x+5)=114
step 1: we first add x variables
ie. 2x + 4x + 12x = 18x
step 2: we add numbers
ie. -1 + 5 = 4
step 3: now we arrange LHS part
ie. 18x + 4 = 114
step 4: now move this 4 to right hand side and simplify them
ie. 18x = 114 - 4 = 110
step 5: now we divide 110 by 18 to get the value of x
ie. x = 110/18 = 6.11
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What’s 2848 - y = 373
Answer:
Y= 2475
Step-by-step explanation:
We move 2848 across the = sign so we gotta change the sign
so we going to write it as
-Y= -2475
we want to keep the Y by it self so we going to divide -1 both side and we gets Y = 2475
Answer:
Y= 2475
We move 2848 across the = sign so we gotta change the sign
-Y= -2475
def didnt copy this ;-;
thirty-four and twelve hundredths is standard form
34.12
{thirty four, (34) and, (decimal) twelve hundredths (.12)}.
So it would end up being 3412. Hope i helped!
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
(x+2, y+3)
help please
Answer:
is that the equation ? is that all they gave you
im going to answer but do you mean
(x +2y+3)
Step-by-step explanation:
Histograms, tables, and pie charts are examples of
A. Data organization
B. Data analysis
C. Data Gathering
D. Data Creation
Answer:
B.DATA ANALYSIS
Step-by-step explanation:
uahvaishsbdiisbd hi isjsbbssihsbsbs
Please help with algebra!
Answer: x=-10
Step-by-step explanation:
LMN=LMF+FMN
125=x+48+x+97
125=2x+48+97
125=2x+145
2x=-20
x=-10
A, B and C are coordinates on the line y = x − 7.
Use the table of values to find A, B and C.
1
Y
-8
Coordinates A
notand
X
0
-7
B
1
6
C
The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.
Here, we are given that A, B and C are coordinates on the line y = x − 7.
Also, we are given the following table for x and y values of A, B and C
x -1 0 1
y -8 -7 -6
coordinates A B C
The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.
Thus, the coordinates of A are (-1, -8)
the coordinates of B are (0, -7)
and the coordinates of C are (1, -6)
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The Carson family sent 800 text messages last month. Mrs. Carson sent 280 text messages. Ben sent 520 texts. What percentage of the family's text messages did each person send?
The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The Carson family sent 800 text messages last month.
Mrs. Carson sent 280 text messages
Ben sent 520 texts messages.
According to given question we have
Total text messages last month= 800
Mrs. Carson=
[tex]\frac{280}{800}*100\\ \\=35[/tex]
Ben
=
[tex]\frac{520}{800}*100\\ \\=65[/tex]
Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
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Find the real or imaginary solutions of 2x^2 + 3 = 4x by factoring.
Show steps (*30 pts)
The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
Equation
2x² + 3 = 4x
Rearrange to form a quadratic equation2x² + 3 - 4x = 0
2x² - 4x + 3 = 0
Factoring to find real or imaginary solution∆ = (-4)² - (4 × 2 × 3)
= 16 - 24
∆ = 8
√∆ = √8
= 2√2
x1 = -(-4) - 2√2 / (2 × 2)
or
x2 = -(-4) + 2√2 / (2 × 2)
x1 = 4 - 2√2 / 4
or
x2 = 4 + 2√2 / 4
x1 = (2 - √2) / 2
or
x2 = (2 + √2) / 2
Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
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Tyler solves an equation. His work is shown.
Step
Original equation 10x = -4(2x-9)
10x = -8x +36
2
X=2
1
2
In step 2, Tyler uses the addition property of equality.
Create the equation that could show the missing step.
The equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.
What is the solution that could show the missing step in Tyler's solution to the equation as requested in the task content?It follows from the task content that the missing step in the solution steps is to be determined.
Given an equation;
10x = -4(2x-9)
By distributing -4 on the right hand side, we have;
10x = -8x + 36
The next step which is therefore the missing step is;
Add 8x to both sides of the equation so that we have;
10x + 8x = 36
18x = 36
Divide both sides by 18, so that we have;
x = 2 as obtained in the task content.
Ultimately, the equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.
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Luis is paid 245 per week plus a 12.5% commission on all sales over $500.his sales last week were totaled 1,340. What is his total earnings
Answer: 12.5% of 1,340 is 167.5 so Luis made $412.50
If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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Which expression is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?
seven raised to the fourth power divided by three raised to the tenth power
negative seven raised to the fourth power divided by three raised to the tenth power
three raised to the third power divided by seven raised to the fourth power
negative three raised to the third power divided by seven raised to the fourth power
The expression that is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.
What is power in mathematics?power in mathematics can be described as the the expression which help to give the representation of repeated multiplication by the use of same factor.
We can open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]
Therefore, the second option is correct because they are the option that correct with the description in the question.
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An executive invests 28,000 some at 7% and the rest at 4% annual interest if he receives an annual return of $1,570 how much is invested at each rate
we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.
We are given that:
the total amount invested is = $ 28,000
Let the amount invested at 7 % interest rate be x
Amount invested at 4 % interest rate = 28,000 - x
Interest received at the end of year = $ 1570
ATQ:
7 % x + 4 % ( 28,000 - x) = 1570
7 x + 4 (28,000 - x) = 157000
7 x + 112,000 - 4 x = 157,000
3 x = 157,000 - 112,000
3 x = 45,000
x = 45,000 / 3
x = 15,000
Amount invested at 7 % interest rate = x = $ 15,000
Amount invested at 4 % interest rate = 28,000 - x = $ 13,000
Therefore, we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.
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(I didnt put the full question on acident please ignore this :') )
Answer:
k but pls put the question so you that will get support:-)
Scores
14
8
13
10
20
12
11
Find the students median quiz score
Answer:
In ascending order:8,10,11,12,13,14,20
N=7
Step-by-step explanation:
Position of median=(N+1/2)th item
=(7+1/2)th item
(8/2)th item
4th item
=:4th item =12
So,12is median quiz score.
Hope this helpful for you.
Find an equation of the tangent line to the curve xey yex = 4 at the point (0, 4).
An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].
What is tangent?A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.
Now according to the question;
To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-
Consider the given equation;
[tex]x e^y+y e^x=4[/tex]
Differentiate both side with respect to x;
[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]
Now apply product rule;
[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]
Applying exponential and power rule;
[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]
Solve the value of y'
[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]
Now, find the value of slope m.
[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]
[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]
Now, using the point-slope formula, obtain the line equation as follows.
[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]
Therefore, an equation of the tangent line to the curve is [tex]y=-(4+e^4) x+4[/tex].
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Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?
NEED ASAP HURRY UP
The simplification of the given expression using laws of Indices is; y³z⁷
How to use Laws of Indices?
We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.
The above can be expressed as;
(y⁻² * z³)/(z⁻⁴ * y⁵)
Collecting like terms gives;
(y⁻²/y⁵) * (z³/z⁻⁴)
= y⁻² ⁺ ⁵ * z³ ⁺ ⁴
= y³z⁷
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Answer:
y^18/z^18
Step-by-step explanation:
A city had 210 abandoned homes. A
renovation crew reduced the number of
abandoned homes by 80%. How many
abandoned homes are in the city now?
Answer:
42
Step-by-step explanation:
210 × 20% = 42
Please help!!!! need help ASAP ahhhhhh
Is it possible to construct a cube with 2000
interlocking cubes? Justify your answer.
It is possible to construct a cube with 2000
interlocking cubes depending on the sides for each.
How to illustrate the information?It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.
In this case, the sides will be:
= 2000 / 6
= 333.33
In this case, it should be noted each side will be 333.33.
Also, if you want each to be a whole number, this won't be possible.
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PLEASE HELP!!
30 POINTS + BRAINLIEST!
GEOMETRY A
Hayfa does 336 jumping jacks in 8 minutes. How many does Hayfa do in 1 minute?
Answer:42
Step-by-step explanation:
Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42
Answer:
42 jumping jacks
Step-by-step explanation:
To find how many Hayfa does in a minute divide 336 by 8
➟ 336/8
➟ 42
∴ Hayfa can do 42 jumping jacks in a minute
For f(x) = 3x+1 and g(x)=x2-6, find (f- g)(x).
The simplified equation of the given Arithmetic function (f- g)(x) is:
-x² + 3x + 7.
Arithmetic function describe as:Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Which of the following is not an arithmetic function?Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.
According to the given information:Given:
f(x) = 3x+1
g(x)=x²-6
(f- g)(x) =
Substituting the value we get:
(f - g)(x) = (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
The simplified equation of the given Arithmetic function (f- g)(x) is = -x² + 3x + 7.
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Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $157,581, what were the sales (in $) last month?
Answer:
173, 339.10
Step-by-step explanation:
Move the decimal from 157,581.00 to the left to give you 10% of 15,758.10.
Add 15,758.10 to 157,581.00 to give you the total from last month.
Or, convert 10% to a decimal.
157,781 x 0.10 = 15,758.10
15,758.10 + 157,581 = 173,339.10
Solve the simultaneous equation
-4x+3y=1
6x-y=2
We can form the eq. for y,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
1/2|x + 8| = |4x − 1|
Which operation should be used to solve x + 7 = 19?
Answer:
-7
Step-by-step explanation:
If you use -7 the LHS will get cancelled.
x + 7 = 19
or, x + 7 - 7 = 19 - 7
or, x = 12
