Step-by-step explanation:
7x-21 = 5x +15
7x-5x = 15 + 21
2x = 36
x = 36/2
x = 18
Answer:
x=18
Step-by-step explanation:
Distribute 7 through the parentheses
7x-21=5(x+3)
Move the variable to the left -hand side and change its sign
7x-21-5x=15
Collect like terms
2x=15+21
divide both sides of the equation by 2
x=18
in what ratio of line x-y-2=0 divides the line segment joining (3,-1)and (8,9)
Answer:
The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3
Step-by-step explanation:
Let (x, y) be the coordinates of point of intersection.
Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)
and
y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)
Since this point lies on the line x-y-2=0
Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0
i.e. 8a+3–9a+1–2(a+1)=0
Or 8a+3–9a+1–2a-2=0
i.e.-3a+2=0
Hence a=2/3
hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1
i.e. 2:3
Russian Walks to school Every day. Which one of the following is the best describe how long time russian takes to walk to school?
1) Inches
2)Minutes
3) Centimeter
4)Meters
Answer:
Minutes answer B
hope it helps
Answer:
option 2. Minutes
Step-by-step explanation:
The question is how long time the Russian takes.
Except option 2 , the rest of the measurements are for distance/ length.
(sin10+cos10)²(1-sin20)-cos²20
Answer:
0.
Step-by-step explanation:
I am assuming you want to evaluate
(sin10+cos10)²(1-sin20)-cos²20
That evaluates to 0.
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.7.
Independently, she then decides whether or not to buy a CD, with a probability of 0.6 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
The probability that she buys fruit or buys a CD is 1.3.
The probability that she buys fruit and buys a CD is 0.42.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that she buys fruit or buys a CD = 0.7 + 0.6 = 1.3
The probability that she buys fruit and buys a CD = 0.7 X 0.6 = 0.42
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Simply please hurry!! Thank you also please ignore my answer I had to click something
9514 1404 393
Answer:
(b) 3h^-8·k^10
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{15h^{-4}k^{15}}{5h^4k^5}=\dfrac{15}{5}h^{-4-4}k^{15-5}=\boxed{3h^{-8}k^{10}}[/tex]
A plane Airport on Tuesday morning for a 755-mile,6- hour trip. For the first part of the tripthe average speed was 105 mphFor the remainder of the trip the average speed was 130 mph . How long did the plane fly at each speed ?
Answer:
105 miles / hour for 1 hour
130 miles / hour for 5 hours
Step-by-step explanation:
Part A
speed = 105 mphdistance = xtime = yPart B
speed = 130 mphdistance = 755 miles - xtime = 6 hr - yplane Part A: x = 105 *y
Plane Part B: 755 - x = 130*(6 - y)
Put 105*y into the equation for plane B
755 - 105*y = 130*(6- y) Remove brackets on the the right.
755 - 105y = 780 - 130y Add 130y to both sides
755 - 105y + 130y = 780 Combine left
755 + 25y = 780 Subtract 755 from both sides
25y = 780 - 755
25y = 25 Divide by 25
y = 25/25
y = 1
The plane travelled 1 hour at 105 mile / hour
The plane travelled 5 hour at 130 mile / hour
Check
1 hour for a distance of 1 hr * 105 mph = 105 mile
5 hour for a distance of 5 hr*130 mph = 650 miles
Total distance = 755 miles
Remark
This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.
ick the correct alternatives.
If A is a subset of U, which one of the following relation is always true?
(A) A U U = U
(B) A N U = U
(C) A n A = 0
(D) A U Φ = Φ
Answer:
A
Step-by-step explanation:
A bag contains 6 black, 4 blue, and 8 white marbles. What is the probability that a marble drawn from the bag will be white?
a.1/18
b.2/5
c.4/9
d.4/5
Answer:
C.4/9
Step-by-step explanation:
You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.
but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.
Will mark Brainlest Help please
If a:b =4:5 then find the duplicate value of a:b
Answer:
it must be 5:4..I'm not sure.
Answer:
[tex]16:25[/tex]
Step-by-step explanation:
The duplicate ratio of any ratio [tex]x:y[/tex] is [tex]x^2:y^2[/tex]. Therefore, the duplicate ratio of 4:5 is equal to [tex]4^2:5^2=\boxed{16:25}[/tex]
Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y. 1) Viết các phán đoán sau đây dưới dạng công thức: a) Nhiều người yêu thương A. (Thay A bằng chính tên của em). b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
Trường công nghiệp hả:’)
What is the average score of runa 140,96 and 13?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Formula:}[/tex]
[tex]\mathsf{\dfrac{Sum\ of\ all\ terms}{Total\ number\ of\ values\ in\ the\ data}= your\ mean/average}[/tex]
[tex]\mathsf{\dfrac{140+96+13}{3}}[/tex]
[tex]\mathsf{140+36+13}[/tex]
[tex]\mathsf{140 + 96 = \bf 236}[/tex]
[tex]\mathsf{236 + 13}[/tex]
[tex]\mathsf{ = \bf 249}[/tex]
[tex]\mathsf{\dfrac{249}{3}}[/tex]
[tex]\mathsf{= \bf 83}[/tex]
[tex]\boxed{\boxed{\large\textsf{Possible answer: \huge \bf 83}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The answer I got for this problem was 10.8 (multiplied 18 and 60 then divided by 100) however, it stated that my answer is incorrect. Did I not round correctly or is my entire answer wrong?
9514 1404 393
Answer:
30 mL
Step-by-step explanation:
The meaning of 60% solution is ...
alcohol/(total volume) = 0.60
You are told the amount of alcohol is 18 mL, so you have ...
(18 mL)/(total volume) = 0.60
Multiplying by total volume gives ...
18 mL = 0.60 × (total volume)
Then dividing by 0.60, you have ...
(18 mL)/0.60 = total volume = 30 mL
_____
Additional comment
You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.
An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.
Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply.
two times a number plus 1
a number plus 2
twice a number and one
two more than a number and one
twice the product of a number added to 1
Which two terms are interchangeable?
Answer: Axioms and Postulates
Step-by-step explanation:
Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.
I hope my explanation helped. Your welcome.
Please answer me the question and find the graph and question number 2 find the area of the surface
RT = 29, RS = 2x + 1, ST = 6x + 4. What is the length of RS?
Answer:
7
Step-by-step explanation:
Given
RT=29
RS=2x+1
ST=6x+4
Now,
From the figure attached
RT=RS+ST
29=2x+1+6x+4
29=8x+5
29-5=8x
24=8x
x=3
Now,
Length of RS can be calculated as:
RS=2x+1
RS=2(3)+1
RS=7
Answer is 7
Let D be the ordered set of all possible words (not just English words, all strings of letters of arbitrary length) using the Latin alphabet using only lower case letters. The order is the lexicographic order as in a dictionary (e.g. aaa < dog < door). Let A be the subset of D containing the words whose first letter is 'a' (e.g. a A, abcd ∈ A). Show that A has a supremum and find what it is.
Answer:
To show that A has a supremum is given as,
Step-by-step explanation:
Because A is that the set of all letters from the dictionary starting with the letter 'a'. And as after set A, there'll be a group containing all the opposite words .. so there exists some x during a such every other letter during a comes before it. So it's none aside from a word starting with the letter b therefore the supremum of the set A is letter b.
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f(x)
What is the initial value of the exponential function
represented by the table?
-2
1
8
e
8
-1
1
4
0
1
2
1
1
1
2
2
2
Answer:
the answer will be table -1
Step-by-step explanation:
Which values of a, b, and c represent the answer in simplest form?
9/11 divided by 5/11 = a b/c
Answer:
a=1, b=9 and c= 5
Step-by-step explanation:
9/11 divided by 5/11
= 9/11 * 11/5
11 gets cancelled
=9/5
it can also be written as 1* 9/5
Hence here a=1, b=9 and c= 5
Please mark me as brainliest.
What is the answer to number 5?
Answer:
Add 6 to the x-axis and 3 to the y-axis.
Step-by-step explanation:
Right and left are x-axis, and up and down are y-axis.
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the favorite sports of respondents are identified as 1 for basketball, 2 for baseball, 3 for football, and 4 for anything else. The average (mean) is calculated for 517 respondents and the result is 1.5.
Answer:
(a) Nominal data
(b) Calculating the mean is wrong
Step-by-step explanation:
Given
[tex]1 \to[/tex] Basketball
[tex]2 \to[/tex] Baseball
[tex]3 \to[/tex] Football
[tex]4 \to[/tex] Others
Solving (a): The level of measurement
In the given parameters, digit 1 to 4 are used to label each of the given sport.
When such labels are used, the type of data is nominal.
Solving (b): The error
In (a), we identified that the level of measurement is nominal. This implies that, the data are not counted, but instead they are categorized.
And as such, the mean of the data cannot be calculated.
Question 12 of 27 Which of the following can be used to find the sum of the interior angles for any regular polygon?
A. Multiply the number of sides by 180
B. Divide the number of sides by 180
C. Subtract 2 from the number of sides and multiply the difference by 180
D. Add 1 to the number of sides and multiply the sum by 180
Answer:
C. Subtract 2 from the number of sides and multiply the difference by 180
Step-by-step explanation:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180.
i need help plz help me
Answer:
a+2b
Step-by-step explanation:
2(a+2b)-a-2b
2a+4b-a-2b
=a+2b
Answer:
Step-by-step explana:2 ( a+ 2b) - a- 2b
=2a + 4b - a - 2b= a + 2b
PLEASE HELP WILL MARK BRANIEST
Answer:
1.14male studying biology
TASKI
END OF THE YEAR - ESCAPE ROOM
Movie Theme
Fnd the area and circumference of each figure below. Use 31 for it. If needed,
round your answers to the nearest hundredths place
CODE Type the numeral answer. NO LABELS Part a crea, circumference, part b
area, circumference For example 765, 326, 2004, 3563
6
10 mm
MOVIE
TICKET
Your answer
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The quadratic regression equation that models these data is y = - 0.34x ^ 2 + 4.43x + 3.46 Using the quadratic regression equation what was the predicted profit in year 8? A. $ 17.14 million B. $ 17 million C. $ 16.8 million D. $16 million
Answer:
A. $ 17.14 million.
Step-by-step explanation:
Profit:
The profit, in millions of dollars, on year x, is given by:
[tex]y(x) = -0.34x^2 + 4.43x + 3.46[/tex]
Year 8
This is y(8). So
[tex]y(8) = -0.34(8^2) + 4.43(8) + 3.46 = 17.14[/tex]
$17.14 million, option A.
3. What shape is a prism?
Answer:rectangular
Step-by-step explanation:
Answer:
TRIANGULAR
Step-by-step explanation:
A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.
I am not sure how to approach this problem or where to start? How would I be able to solve this problem?
Answer:
5.7
Step-by-step explanation:
We can use a proportion to solve the problem:
24 : 100 = 1.37 : x
x = (100 * 1.37)/24 = 137/24 = 5.7
Find the area a triangle with a base of 3 ft and a height of 2/3 ft
Answer:
1 ft^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 3) * ( 2/3)
A = 3/2* 2/3
A =1
Answer:
1 ft^2
Step-by-step explanation:
The formula for the area of a triangle is as follows, a=b*h*1/2
Now, let's plug in the values to match your question. A=3*2/3*1/2
Lastly, solve. 3*2/3=6/3=2. Then divide 2 by 1/2=1.
Add the unit to make it 1 ft^2
Hope this helps!
find the equation of line parallel to y=-2x+1 and passing through the point (2,4)
Answer:
[tex]y=-2x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slopes1) Determine the slope (m)
[tex]y=-2x+1[/tex]
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-2x+b[/tex]
Plug in the given point (2,4) to solve for b
[tex]4=-2(2)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate b
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:
[tex]y=-2x+8[/tex]
I hope this helps!