The equation for total charge of cable is sum of installation charge and service charge for each month. The equation is,
\(y=60x+45\)Here, y is total charge of cable, x is number of month.
In equation y=60x+45, the slope is 60 and intercept is 45.
Plot the equation of the graph.
In graph, the y axis is total cable charge and x axis is month and y-intercept is (0,45).
2 1/8x+3/4x+1/6-7/12x+5 2/3
Answer:
5/24(11x+28)
Step-by-step explanation:
1. Simplify (2√3)² +(4√2)²
2. Simplify (2√3)² +(4√2)²
The answers Simplify (2√3)² +(4√2)²
Can somebody please help?? i’ll give Brainliest to whoever answers first.
There are 625 students in Leon's school. He takes a random sample of 75 students from the entire school population. In the sample, 33
students are planning to attend the end of year picnic.
Based on his data, how many students from the entire school are planning to attend the end of year picnic? Show ALL your work!
Answer:
The answer is 275 students.
Step-by-step explanation:
In 75 students, 33 students attend.
So the ratio is 33/75.
so multiply with 625.
625 x 33/75 = 275
A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
3. Allison Separates 23 stickers into 4 4 equal piles. How many stickers does she have left over?
Adding Rational Expressions
Simplify the following sum, and show all work please.
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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Find the circumference of a circle with
radius, r = 7m.
Give your answer in terms of π.
Answer: 14π
Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.
Please help I’ll mark you as brainliest if correct!
The cosD is √53/9 from the given triangle which is adjacent side by hypotenuse
The triangle DEF is a right triangle
We know that cosine function is a ratio of adjacent side and hypotenuse
The adjacent side of angle D is DE
We have to find the length of DE by using Pythagoras theorem
DE²+EF² =DF²
DE²+28=9²
DE²=81-28
DE²=53
Take square root on both sides
DE=√53
So cosD=√53/9
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(5 + 16) = 7 + (4 x 7) =
Bidmass
Answer:
(5 + 16)=7 + (4 x 7)
Step by step - explanation:
Solve:
Add the numbers
(5 + 16)= 21.
(4 x 7) = 28 + 7 = 35.
So the result is 21 = 35.
Hope that helps. x
Answer:
Step-by-step explanation:
(5+16)=7+(4.7)
(21)=7+(4.7)
21=7+(4.7)
21=7+(28)
21=7+28
21=35
Answer: 21=35
At Camille's Hats, 70% of the hats in the store are baseball caps. If there are 28 baseball caps, how many hats are in the store?
Answer:
40 hats
Step-by-step explanation:
28=70% of what number?
28=0.70·w
divide both sides of the equation by 0.70 to solve for w (whole)
Answer:
40 hats
Step-by-step explanation:
Look at this set of 7 numbers. 3275951 by how much would the median decrease if the number 3 were added to the set? Hurry pleaseeeeee
36.
A meeting started at 11.35a.m. and
ended at 4.15p.m the same day. How
long did the meeting last?
a) 3hrs 40mins
b) 3hrs 50mins
c) 4hrs 35mins
d) 4hrs 40mins
e) 5hrs 40mins
What’s the answer
Answer:
Step-by-step explanation:
option (d) 4hrs 40mins
Which expression is equivalent to a^7
Answer:
\(\sqrt{a^{6} *a}\)
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. \(a^{6}*a^1=a^(6+1)=a^7\)
The cost to rent a moving van is $28 plus an additional $7 per hour. For $49, what is the maximum amount of time that a moving van can be rented for?
Answer:
3 hours
Step-by-step explanation:
49-28=21
21/7=3
I need this fast so plese help
The simplified expression of -7(3z + 5t - 3g) is -21z - 35t + 21g.
How to simplify an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators such as addition, subtraction, multiplication etc.
To simplify an expression means to write an equivalent expression which contains no similar terms.
Therefore, let's simplify the expression as follows:
-7(3z + 5t - 3g)
Hence, open the brackets
-7(3z + 5t - 3g) = -21z - 35t + 21g
Therefore, the simplified expression is -21z - 35t + 21g.
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Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
The multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. 4(3x − 1 4 y = 15) → 12x − y = 60 −6(2 3 x − 1 6 y = 6) → − 4x + y = − 36 What is the solution to the system of equations? ( , )
Answer:
The answer to the multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. is (3, -24)
Step-by-step explanation:
Answer:
3 -24
Step-by-step explanation:
got it right
Determine the measure of x in the diagram below:
x = °
The measure of angle x on the straight line is 130 degrees.
What is the measure of angle x?The sum of interior angles in a triangle equals 180 degrees.
To determine the value of x, we first determine its suplemetary angle x .
Hence:
40 + 90 + ( suplemetary angle of x ) = 180
Solve for the suplementary angle:
130 + ( suplemetary angle of x ) = 180
Suplementary angle of x = 180 - 130
Suplemetary angle of x = 50 degree
Now, we can find the measure of angle x.
Note that, sum of angles on a straight line equals 180 degree.
Hence:
x + ( suplemetary angle of x ) = 180
x + 50 = 180
Solve for x
x = 180 - 50
x = 130 degrees.
Therefore, the value of x is 130 degrees.
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Victor played the guitar in 8 concerts this month. If each concert lasted 2.75 hours, which expression can be used to find how many hours Victor played the guitar in the concerts?
8+2.75
8×2.75
8−2.75
8÷2.75
The expression that can be used to find how many hours Victor played the guitar in the concerts is 8 × 2.75
Given:
Number of concerts Victor played this month = 8
Number of hours spent per each concert = 2.75 hours
Total hours Victor spent playing guitar this months = Number of concerts Victor played this month × Number of hours spent per each concert
= 8 × 2.75 hours
= 22 hours.
Therefore, the expression that can be used to find how many hours Victor played the guitar in the concerts is 8 × 2.75 and the total hours Victor spent playing guitar this months is 22 hours
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Can you please give me the answers of the following questions on the attached files
a) The 8 in the number 24.387 is in the hundredths place, its value is 8/100 or 2/25.
b) One and three quarter million can be written in figures as 1,750,000.
c) 2/10 or 1/5.
d) 0.26 < 0.62 < 2.06 < 6.2
e) 13.4 > 13.390.33 = 1/38 = 2³
What is the inequality equation?An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
a) The 8 in the number 24.387 is in the hundredths place.
Therefore, its value is 8/100 or 2/25.
b) One and three quarter million can be written in figures as 1,750,000.
c) The 2 in the number 48.52 is in the tenths place.
Therefore, its value is 2/10 or 1/5.
d) Ordering the numbers from smallest to largest:
0.26 < 0.62 < 2.06 < 6.2
e) Completing the statements using the symbols <, > or = :
13.4 > 13.390.33 = 1/38 = 2³
Hence, The answers to each question are:
a) 8/100 or 2/25.
b) 1,750,000.
c) 2/10 or 1/5.
d) 0.26 < 0.62 < 2.06 < 6.2
e) 13.4 > 13.390.33 = 1/38 = 2³
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Solve the equation: 10x – 11 = 7x + 22
10x - 11 = 7x + 22
10x - 7x = 22 - 11
3x = 11
x = 11/3
x = 3.66
_____
RainbowSalt2222 ☔
How many students measured their step length in the example
The step lengths table show the different measurements done. Then, the number of data in the table is the number of students that measured the step length. This is 18 (6 columns and 3 rows give 18 data since 6x3=18)
You can also see the graph and count every point in it, including the 28 that is far from the others. Each point represents a student.
Describing the graph that represents the distribution it can be seen that mosst students have a step length of 25 in (being this value the mode). The step lengths range from 21 to 28 and just few students had a step larger than 25 in. There is a value that was only reached by one student (28 in) being a value relatively far from the others.
Also the graph shows that most of the students have a step length between 22 and 26 in.
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Translate the sentence into an inequality.Twice the difference of a number and 8 is less than – 23.Use the variable b for the unknown number.
2(b - 8) < -23
Explanation:To translate the sentence, we ill need to break it down into bits
difference of a number and 8
let the number = b
Difference means subtraction. We will subtract 8 from the number
difference of a number and 8 = b - 8
Twice the difference: we will multiply the difference by 2
Twice the difference of a number and 8 = 2(b - 8)
Twice the difference of a number and 8 is less than – 23
less than – 23 is written as < -23
Twice the difference of a number and 8 is less than – 23:
2(b - 8) < -23
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
Help me out please!!! no work needed just give the answer
*Brainliest if correct*
Answer:
150 degrees
Step-by-step explanation:
(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)
The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.
We have 3 angles: y = 100, 50, and 60.
360 - (100+50+60)
= 360 - 210
= 150
Without computing, select all of the expressions that have the same value as 81. (37 + 59).
A. 81. (59 +37)
B. (81. 37) + 59
C. (81.37) + (81. 59)
D. 81 + (37.59)
E. (37 + 59). 81
please help will give brainlyist!!!!!!
Answer:
A, C, EStep-by-step explanation:
Expressions with same value:
A. 81 · (59 +37)C. (81 · 37) + (81 · 59)E. (37 + 59) · 81Please help UwU
also hope your day is going GREAT
Answer:
Answer: B. XY
Step-by-step explanation:
Lines and Circles
There are four lines in the figure:
OB =Radius: A segment from the center to the circumference
XY = Secant: A line that intersects the circle in two points
EF = Chord: A line segment that joins two points on the circle
XV and XB = Tangent: A line that touches the circle on one point and is perpendicular to the radius.
Answer: B. XY
consider a stick of length 1. we break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick. we then repeat the same process on the piece that we were left with. let y be the length of the piece that we are left with after breaking twice. find
The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.
In the given question, consider a stick of length 1.
We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.
We then repeat the same process on the piece that we were left with.
We have to find expected length of the piece that we are left with after breaking twice.
In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.
We also have to calculate the variance Var(Y).
Following Laws are used in the solution
Law of Iterated Expectations: E[X] = E[ E[X|Y] ]
& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])
Now, Y = Length of the stick after we break it the first time
and X = length of the stick after we break it the second time
As both the distribution is uniformly distributed.
Now, E[Y] = L/2 and Var(Y)= l^2/12
E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12
As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12
Using Law of Iterated Expectations
E[X] = E[ E[X|Y] ]
E[X] = E[ y/2 ]
E[X] = \int_{L}^{0}
E[X] = L/4
Now using Law of Total Variance
Var(X) = E[Var(X|Y)]+Var( E[X|Y] )
Var(X) = E[y^2/12]+Var(y/2)
Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)
Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)
Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)
Var(X) = 7L^2/144
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In a survey, people were asked whether they like baseball or whether they like hockey. Here are the results: Likes hockey Doesn’t like hockey Likes baseball 12 18 Doesn’t like baseball 14 6 What value is missing to convert the two-way table to a two-way relative frequency table? Likes hockey Doesn’t like hockey Likes baseball 0.24 0.36 Doesn’t like baseball 0.28
The missing value 'x' in the two-way relative frequency table is 0.36.
To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.
Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.
First, let's calculate the relative frequencies for each category:
Likes hockey: The total count in this row is 12 + 18 = 30.
Relative frequency of "Likes hockey" = 12/30 = 0.4
Relative frequency of "Doesn't like hockey" = 18/30 = 0.6
Likes baseball: The total count in this column is 12 + 14 = 26.
Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615
Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385
To ensure that the relative frequencies add up to 1, we can set up the following equations:
0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)
0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)
Simplifying the equations, we have:
x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36
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