Answer:
c = -24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Step-by-step explanation:
Step 1: Define
6c - 1 - 4c = -49
Step 2: Solve for c
Combine like terms: 2c - 1 = -49Isolate c term: 2c = -48Isolate c: c = -24tan A = 1/5 and tan B = 1/4
Find tan 2 (A-B)
Given:
[tex]\tan A=\dfrac{1}{5}[/tex]
[tex]\tan B=\dfrac{1}{4}[/tex]
To find:
The value of [tex]\tan^2(A-B)[/tex].
Solution:
We know that,
[tex]\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}[/tex]
Putting the given values, we get
[tex]\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}[/tex]
[tex]\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}[/tex]
[tex]\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}[/tex]
[tex]\tan (A-B)=\dfrac{-1}{21}[/tex]
Taking square on both sides, we get
[tex]\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2[/tex]
[tex]\tan^2 (A-B)=\dfrac{1}{441}[/tex]
Therefore, the value of [tex]\tan^2(A-B)[/tex] is [tex]\dfrac{1}{441}[/tex].
does anyone know this i will give brainliest
Answer: 1/4 is the answer I was given in my work.
Step-by-step explanation:
Helppp this is timed!!
Answer:
The answer must be D
Step-by-step explanation:
When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.
the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.
Answer:
x = 21
Step-by-step explanation:
The following data were obtained from the question:
Set of data => 7, 15, x–1, x+1, 24, 28
Median = 21
x =?
Median is simply defined as the middle term of a given data arranged either in ascending or descending order.
Next, we shall determine the median of the set of data. This can be obtained as follow:
7, 15, x–1, x+1, 24, 28
Median = [(x–1) + (x+1)]/ 2
Finally, we shall determine the value of x as follow:
Median = [(x-1) + (x+1)]/ 2
Median = 21
21 = [(x-1) + (x+1)]/ 2
21 = [x – 1 + x + 1] /2
21 = [x + x – 1 + 1] /2
21 = 2x / 2
21 = x
Thus, x is 21
****Check****
Median = 21
x = 21
Median = [(x–1) + (x+1)] / 2
21 = [(21 – 1) + (21 + 1)] / 2
21 = [20 + 22] / 2
21 = 42/2
21 = 21
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
[tex]\displaystyle m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 8)
Point (5, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=3[/tex]Answer:
3
Step-by-step explanation:
-3/-1 = 3
the slope of a line passing through (6,8) and (5,5) is 3.
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answer:
Car A
Step-by-step explanation:
All you have to do is find the rate of change
Distance Gallons
300 8
320 10
Car A
300 : 8
37.5 : 1
Car B
320: 10
32 : 1
37.5 > 32
So Car A gets the better gas mileage.
Hope this helped!
In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?
Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)
answer:c)x-intercept:(-15,0) and y-intercept(0,3)
Step-by-step explanation:
x -5y= -15
x = -15
(-15,0)
y = -15 / -5
=3
(0,3)
Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)
Answer: m = 0.75
Step-by-step:
In 2013 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mrs. Rowland takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening
Answer:
0.032% probability of this happening
Step-by-step explanation:
Since the distribution is very large(10,000 skittles), and there are only two possible outcomes(either the Skittles is green or it is not) we can use the binomial probability distribution as an approximation.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Handful of 5 skittles:
This means that [tex]n = 5[/tex]
20% of the Skittles are green
This means that [tex]p = 0.2[/tex]
What is the probability of this happening?
Probability of all skittles being green, so [tex]P(X = 5)[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.2)^{5}.(0.8)^{0} = 0.00032[/tex]
0.032% probability of this happening
Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.
(x + a)(x+b)
Answer:
(x-4.72)(x+5.72)
Step-by-step explanation:
I2+ i - 72
is it i^2+i-72?
(x-4.72)(x+5.72)
Find the slope of each line.
Answer:
D
Step-by-step explanation:
Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:
Pls help fast! Will mark first correct answer as brainliest!!!
Answer:
the first one is 267% and 400%
Step-by-step explanation:
but i don't know for the 2nd
Answer:
2/3 is 266.666667% of 1/4
2/3 is 400% of 1/6
Step-by-step explanation:
You just need to divide the second number by the first:
2/3 ÷ 1/4 = 2/3 · 4 = 2 2/3 which, in a percentage, is 266.666667.
2/3 ÷ 1/6 = 2/3 · 6 = 4 and 4 as a percentage is 400%
SECOND PAGE:
11.25 is 3333.3333333333% of 375
11.25 is 20% of 556.25
A store pays $119 for a scooter. The store marks up the price by 40%.
What is the new price (nearest penny)?
Answer:
Step-by-step explanation:
if the store marks up the price by 40%
119*(40/100)=47.60
119+47.60=166.60
Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?
Answer:
the percent of the pies did she sell is 84%
Step-by-step explanation:
The computation of the percent of the pies did she sell is as follow;
= Number of pies sold ÷ total number of pies purchased
= 42 ÷ 50
= 84%
Hence, the percent of the pies did she sell is 84%
We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come
If I triple ____ and divide the result by 6,the quotient is 18
options
32
36
63
64
Answer:36
Step-by-step explanation: i did the math
help pls due today pls
Answer:
6.5y + 10
Step-by-step explanation:
Combine like terms:
0.5y + 6.5y - 0.5y + 10.5 - 0.5
= 6.5y + 10
Answer:
Step-by-step explanation:
0.5y+10.5+6.5y-0.5-0.5y=
6.5y+10
The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm
Answer:
C, Length = 39.4 cm; width = 7.9 cm
Step-by-step explanation:
The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)
The length is 4 times w plus 7.8.
So: 2w+2(4w+7.8)=94.6
= 2w+8w+15.6=94.6 (Factor out the brackets)
= 10w+15.6=94.6 (Combine like terms)
= 10w=79 (Subtract 15.6 from both sides)
= w=7.9 (Divide both by 10).
So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)
Please help me asap thank you!
Answer:
6 and 7
Step-by-step explanation:
--_45"gfsu. tc. jkk
Answer:
6x-7
Step-by-step explanation:
1/3x12x=4x
1/3x6x=2x
1/3x21=7
4x+2x=6x
Mary is paid $600 for 5 days of work. How much is she paid per day
Answer:
$120
Step-by-step explanation:
At the store for every 2 movies sold there 8 books sold. What is the radio of books sold to movies sold?
Answer:
The ratio of books sold to movies sold at the store is 4:1.
Step-by-step explanation:
Given that:
Number of movies sold at the store = 2 movies
Number of books sold at the store = 8 books
Ratio of books sold to movies sold at the store is
Books sold : Movies sold
8 : 2
[tex]\frac{8}{2}:\frac{2}{2}[/tex]
4 : 1
Hence,
The ratio of books sold to movies sold at the store is 4:1.
What decimal represents 1/4
- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?
Answer:
1.88 pounds
Step-by-step explanation:
First, find the total amount of sugar, since there were 2 shipments
22.56(2)
= 45.12
Then, divide this by 24:
45.12/24
= 1.88
So, each canister had 1.88 pounds of sugar
Mia is drawing an angle that is made up of 35 one-degree angles. How many degrees is Mia's angle?
Answer:
35 degrees
Step-by-step explanation:
add all the one degrees together
Can some help thx.
Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.
Answer: Eva could have 6 dimes and 10 quarters.
y≤18−x
y≥12− 2/5x
Step-by-step explanation:
x+y≤18
0.10x+0.25y≥3
URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH
Answer:
Step-by-step explanation:tha answer is -120
Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).
Answer:
We conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The slope of the line = m = -3The point = (13, 4)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -3 and the point (13, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 4 = -3(x-13)[/tex]
Add 4 to both sides
[tex]y-4+4=-3\left(x-13\right)+4[/tex]
Simplify
[tex]y=-3x+43[/tex]
Therefore, we conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Solve the inequality.
140 < -20j
Answer:
J < -7
Explantion:
Rewrite so J is on the left side
-20j > 140
Divide each term by -20 and simplify
j < -7
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
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