Answer:
Step-by-step explanation:
−5+6−4
and
−4+(−5)+6
A wall is 3600 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon / 600 sq ft
Step-by-step explanation:
As we can see, we are given that 600 sq ft uses one gallon to cover, therefore one gallon covers 600 sq ft (just vice versa of what's given).
In the diagram below, what kind of line is BF relative to ABC?
Answer:
Step-by-step explanation:
BF is the angle bisector of ∠B.
what is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: [tex]\frac{3}{2}x+y=-\frac{17}{2}[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]ax+by=c[/tex]
So we need to solve for c
Start by simplifying everything in the equation
[tex]y+7=-\frac{3}{2} (x+1)[/tex]
Use the Distributive Property
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}[/tex]
Now subtract 7 from both sides
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}[/tex]
Add [tex]\frac{3}{2} x[/tex] to both sides
[tex]y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}[/tex]
NOTE: [tex]-\frac{17}{2}[/tex] simplifies to -8.5 if you find that more desirable
An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1750 feet apart . As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. If If A=30 degrees and B=20 degrees how high is the airplane?
Answer:
at aircraft(at z) sported by
Write the word sentence as an inequality.
1. A number x divided by 3 is at most 5
An inequality that represents this word sentence is ____ .
[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]
Explanation:A number {x} {divided by} {3} is {at most} {5}.
↧ ↧ ↧ ↧ ↧
x ÷ 3 ≤ 5
[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]
Answer:
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
Step-by-step explanation:
x divided by 3 = x/3
at most 5 means "equal or less than 5" = ≤ 5
Final solution
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
------------------------------------------------------------------------------------------------
Extra information
Alternative ways of writing the inequality:
x ÷ 3 ≤ 5
[tex]\sf \dfrac13x\leq 5[/tex]
What is the gradient of the graph shown below. Give answer in simplest for
Answer:
1
Step-by-step explanation:
Choose two points on the line: (-5, 0) and (0, 5)
Let the first point [tex](x_1,y_1)[/tex] = (-5, 0)
Let the second point [tex](x_2,y_2)[/tex] = (0, 5)
Use the gradient formula:
[tex]\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1[/tex]
----------------------------------------------------------------------------------------------------
If you want to find the equation of the line, use the point-gradient form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the gradient and [tex](x_1,y_1)[/tex] is a point on the line)
Substituting the values into the formula:
[tex]\implies y-0=1(x-(-5))[/tex]
[tex]\implies y-0=x+5[/tex]
[tex]\implies y=x+5[/tex]
Therefore, the equation of the line is y = x + 5
The recent price of a car is Rs.10,00,000. If its price reduces by 10% yearly, after how many years it's price will be Rs. 7,29,000? Find it.
Answer:
hope it helps
also do write the givens
A perfect score on a test with 25 questions is 100. Each question is worth the same number of points. How many points is each question on the test worth
Answer:
4
Step-by-step explanation:
100 divided by 25 equals 4.
Solve the following quadratic by completing the square.
Answer:
[tex]x = -5 \pm \sqrt{26}[/tex]
Step-by-step explanation:
[tex]x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}[/tex]
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D: 699
E: 582.5
F: 116.5
2. 1398
3. 13048
Step-by-step explanation:
Hope this helps!
need help with geometry question
Answer this frequency distribution Question. I will make Brainelist + 50 points
Answer:
(i) 41-45 mins
(ii) 40 mins
(iii) 75 workers
(iv) Rs10500
Step-by-step explanation:
(i) The modal class is the class with the highest frequency.
Therefore, from inspection of the frequency table, the modal class is 41-45 mins since if has the highest frequency of 14.
(ii) As the data is grouped, to find an estimate of the mean, assume that every worker takes the value of the class mid-point. As the data is discrete, there are gaps between the classes, and so we also have to use lower and upper class boundaries to calculate the mid-points.
Class 21-25 : lower 20.5 | upper 25.5 | mid-point 23
Class 26-30 : lower 25.5 | upper 30.5 | mid-point 28
Class 31-35 : lower 30.5 | upper 35.5 | mid-point 33
Class 36-40 : lower 35.5 | upper 40.5 | mid-point 38
Class 41-45 : lower 40.5 | upper 45.5 | mid-point 43
Class 46-50 : lower 45.5 | upper 50.5 | mid-point 48
Class 51-55 : lower 50.5 | upper 55.5 | mid-point 53
Class 56-60 : lower 55.5 | upper 60.5 | mid-point 58
Mean = (sum of frequency x class mid-point) ÷ total frequency
⇒ Mean = (2 x 23 + 5 x 28 + 7 x 33 + 10 x 38 + 14 x 43 + 8 x 48 + 3 x 53 + 1 x 58) ÷ 50
⇒ Mean = 40 mins
(iii) 8 hours = 8 x 60 = 480 mins
Total time ÷ average time to make one doll = 480 ÷ 40 = 12
If the mean time to make a doll is 40 minutes, then one person can make 12 dolls in 8 hours.
Therefore, to calculate the number of workers required to make 900 dolls in 8 hours, divide the total number of dolls needed by 12:
900 ÷ 12 = 75
So 75 workers will be needed to make 900 dolls in 8 hours, given the mean time for a worker to make a doll is 40 mins.
(iv) Overtime is paid in excess of 6 hours. Therefore, each worker will be working 2 hours overtime.
Total amount of overtime pay = hours x rate x workers
= 2 x Rs70 x 75
= Rs10500
What is the area of the blue shaded region in the figure?
Answer:
B. 90 in²
Area of white triangle
3×4/2
12/2 = 6 in²
Area of blue triangle
12×16/2
192/2= 96in²
96in² - 6in² = 90 in²
What number is one-eighth of three hundred and sixty?
Answer:
45
Step-by-step explanation:
Have a great day!
#EquestrianLion
Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)
The average daily balance of the transactions given for the billing period will be $1798.
How to calculate the average daily balance?From the complete question, the average daily balance is completed below:
Billing date = 2645.92 × 5 = $13229.6
Repayment on June 6 = $1345.92 × 2 = $2691.84
June 8 = $1381.85
June 9: = $1518.53 × 8 = $12148.24
Gas = $1560.90
Groceries = $1687.37 × 10 = $16873.70
Clothing = $1902.49 × 4 = $7609.96
Total = $53935.19
Therefore, the average daily balance will be:
= $53935 / 30
= $1798
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A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)
find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = undefined
The tangent is undefined for angles that are odd multiples of 90°. The angle between the vectors is 90°.
find the horizontal asymptote for y= 5x/x+6 .
y = 0
y = −6
none
y = 5
Answer:
[tex]y = 5[/tex]
Step-by-step explanation:
Given function:
[tex]y=\dfrac{5x}{x+6}[/tex]
[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]
[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there). Therefore, the horizontal asymptote is [tex]y=5[/tex]
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60% A, 23% B, and 37% C. Show the frequency and relative frequency distributions
Answer:
0.5,0.2,0.3
Step-by-step explanation:
divide 60,23,37 by 120
you roll two fair dice, a green one and a red one.
(a) are the outcomes on the dice independent?
(b) find p(1 on green die and 2 on red die)
(c) find p(2 on green die and 1 on red die)
(d) find p[(1 on green die and 2 on red die) or (2 on green die and 1 on red die)]
Answer:
(a) yes
(b) 1/36
(c) 1/36
(d) 1/18
Step-by-step explanation:
(a) yes they are independent as the outcome of one does not affect the outcome of the other.
(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(1 on green die) = 1/6
P(2 on red die) = 1/6
Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36
(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(2 on green die) = 1/6
P(1 on red die) = 1/6
Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36
(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)
= 1/36 + 1/36
= 2/36
= 1/18
Are the ratios 5:4 and 20:16 equivalent?
Answer:
yes
Step-by-step explanation:
If you take 20 and divide by 4 you get 5. if you take 16 and also divide by 4, you will get 4.
please help:
A box in the shape of a right rectangular prism has a length of 8 . 58.5 inches, a width of 4 . 54.5 inches, and a height of 3 . 753.75 inches. What is the volume, in cubic inches, of the box? Do not round your answer.
Answer:
Step-by-step explanation:
Use the volume formula of a right rectangular prism!
V=whl
Just plug the values in and throw them in your calculator.
w stands for width
h stands for height
l stands for length
Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!
The following table summarizes a sample of the wait times at two branches of a bank. The district manager wants to construct a two-sample t test to see if there is a significant difference between the average wait times at the two branches.
Branch A B
Mean (minutes) 4.77 5.13
Standard deviation (minutes) 1.45, 45 1.36
Number of observations 20 20
Which of the following are conditions for this type of test?
Choose all answers that apply:
A. The samples are both randomly selected.
B. The wait times within each sample are independent of each other.
C. The wait times within each group are approximately symmetric without outliers.
The conditions for this type of sampling test regarding the wait times at two branches of a bank include:
The samples are both randomly selected.The wait times within each group are approximately symmetric without outliers.What is sampling?It should be noted that sampling simply means a statistical process where a predetermined number of observations are taken from a larger population.
In this case, the samples are both randomly selected and the wait times within each group are approximately symmetric without outliers. When there's a symmetric distribution with no outliers, the mean and standard deviation will be used.
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make r the subject of this formula t=2r/r-1
[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]
The formula of r is t/t-2 for equation t=2r/r-1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is t = 2r/r-1
t equal to two times of r divided by r minus one
We need to find the formula for r
t = 2r/r-1
Apply cross multiplication
t(r-1)=2r
Apply distributive property on left side
tr-t=2r
Subtract 2r on both sides
tr-2r=t
r(t-2)=t
Divide both sides by t-2
r=t/t-2
Hence, the formula of r is t/t-2 for equation t=2r/r-1.
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what does Y=
what does x=
Answer:
Step-by-step explanation:
The equation factors into
(x^2 + 14x + 49) =16 Factor
(x + 7)^2 = 16 Take the square root of both sides
√(x + 7)^2 = √16
x + 7 = +/- 4
x + 7 = + 4 Subtract 7 from both sides
x = 4 - 7
x = - 3
x + 7 = - 4 Subtract 7 from both sides.
x = - 4 - 7
x = - 11
x1 = -11
x2 = - 3
Solve for y.
-3y + 7 = 34
What does y equal?
Answer:
y = -9
Step-by-step explanation:
-3y + 7 = 34
-3y = 34 - 7
-3y = 27
3y = -27
y = (-27)/3
y = -9
this urgent pls
thank you
Answer:
x is less or equal to 30
the last Choice is correct.
Answer:
Last option D.
Step-by-step explanation:
IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.
The ratio of men to women working for a company is 4 to7. If there are 198 employees total, how many men work for the company
Answer:
Step-by-step explanation:
As a cold front passed, the temperature dropped steadily
2 degrees each hour. It dropped a total of 10 degrees. How
many hours did it take for the temperature to drop this far?
Answer:
5
Step-by-step explanation:
because 10 divided by 2 is 5