Answer:
x = 2
y = 3
Step-by-step explanation:
y = 2x – 1
y - 2x = -1
y = 5x – 7
y - 5x = -7
y - 2x = -1
y - 5x = -7
_________--
3x = 6
x = 6/3
x = 2
y = 2x – 1
y = 2(2) - 1
y = 4 - 1
y = 3
[tex]x=2\\y=3[/tex]
Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)Given -
[tex]y=2x-1\\y=5x-7[/tex]
So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].
[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]
Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].
[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]
Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].
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Which better describes the data set, the mean or the median? Select the answer with the best explanation. A The median, because it is in the middle of the set. B The mean, because it is closer to most of the data values than the median is. C The mean, because it is the average of all the values of the set. D The median, because it is closer to most of the data values than the mean is.
Answer:
C
Step-by-step explanation:
The mean of the data describes the data set , because it is the average of all the values of the set
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data set be represented as A
Now , the value of A is noted
And , the median of the data set is the middle term of the set
where the mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values
So , the average values of the set determines the data values as it is a compilation of all the data values
Hence , the mean of the data describes the set
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Half of a number is 16. Write an equation and solve to find the number?
The number will be 32 such that its half will be 16.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x
Given,
Half of a number is 16
So,
x/2 = 16
By multiplying 2 both sides
x = 32
Hence "The number will be 32 such that its half will be 16".
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Required
1. The distance in kilometers to Proxima Centauri, the closest star to the Earth, is
39,900,000,000,000. Write this in scientific notation.
The equation for the distance in kilometers to Proxima Centauri is
D = 3.99 x 10¹³
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total distance from Earth to the closest star Proxima Centauri be = D
Now , the value of distance D = 39,900,000,000,000
Now , the equation to find the scientific notation is done by calculating the number of zeros in the equation
So , The distance D has 11 zeros in it
So , the distance D can be written as powers of 10 in the form
Distance D = 399 x 10¹¹
Now , 399 can be written as 3.99 x 10²
So , the equation can be simplified as
Distance D = 3.99 x 10² x 10¹¹
Distance D = 3.99 x 10¹¹⁺²
Distance D = 3.99 x 10¹³
Therefore , the value of D is 3.99 x 10¹³
Hence , The distance in kilometers to Proxima Centauri is 3.99 x 10¹³
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A number, rounded to 2 decimal places, is equal to 45.55.
Write down the lower and upper bounds of the number,
Lower bound =
Upper bound
Final answer:
The lower bound of the number rounded to 2 decimal places is 45.54, and the upper bound is 45.56.
Explanation:
To find the lower and upper bounds of a number when it is rounded to 2 decimal places, we need to consider the two possible values that round down and round up from the given number.
In this case, the number is 45.55.
The lower bound is the number rounded down.
When we round down 45.55 to 2 decimal places, we get 45.54.
The upper bound is the number rounded up.
When we round up 45.55 to 2 decimal places, we get 45.56.
cup
00:00 -
A recipe calls for 2 fluid Ounces of cooking oil. Nadine measures the oil into a measuring cup to the
1/4 cup mark
Did Nadine pour the correct amount of oil?
A
No, she poured 1 ounce too much.
B
No, she poured 1 ounce too little
C
No she poured 0 5 ounce to little
D
Yes she pured the correct amount
Answer:
D - Yes she pured the correct amount
Step-by-step explanation:
In 1 cup, there are 8 fluid ounces.
A fourth of a cup is 2 fluid ounces.
Nadine poured the correct amount of cooking oil, since 2 fluid ounces is equal to a 1/4 cup.
Compare the graph of g(x)=2^x+1 to the graph of f (x)=2^x
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhgg
Step-by-step explanation:
Which statement is true?
Question 10 options:
A)
|–3| = 3 and –|4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and |–4| = –4
D)
–|3| = 3 and |4| = 4
Answer:
A
Step-by-step explanation:
The walls around a number make them a regular everyday number, meaning it turns negatives into positives.
So -3 becomes 3.
and -4 becomes 4.
Therefore, A is the correct answer.
In which number does the digit 8 have a value that is 1/10 times as great as the digit 8 in the number 2,980.7?
Answer:
29,807.0
Step-by-step explanation:
Just add a zero and move the decimal.
Outside each house, there is a mailbox. There are 3 letters in each
of the six mailboxes. How many letters are there in total?
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3 letters per mailbox. 6 mailboxes. 3 * 6 = 18. Total: 18 letters
convert the unit of weight 3 1/2lb=?oz
Answer:
56 oz
3 1/2 lb = 56 oz
OR
3.5 lb = 56 oz
Answer:
52 ounces.
Step-by-step explanation:
1 pound =16 ounces. From there you can just convert. So, 3*16=48 ounces., and 1/2 pound *16 ounces equal 4 ounces.
4+48=52 ounces.
So in total, 3 1/2 pound equals to 52 ounces.
Simplify.(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)
A) 2x^3 - 8x - 10
C) 2x^3 + 6x^2 + 12x - 10
B) 2x^3- 6x^2 + 12x -10
D) 2x^2- 8x - 10
(I'll give brainliest to the correct answer :3)
---------------------------------------------------------------------
(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)
Remove parentheses:
2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2
Simplify:
2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2
Group like terms:
2x^3 -3x^2 + 3x^2 + 2x -10x-10
Add similar elements -3x^2 + 3x^2:
2x^3+2x-10x-10
Add similar elements 2x-10x=-8x:
2x^3-8x-10
Your Answer Is (A) 2x^3-8x-10
plz mark me as brainliest :)
Answer:
A
Step-by-step explanation:
Let's first expand these parentheses. Remember that when we have a negative sign in front of a parentheses, that means we're multiplying each term within the parentheses by -1:
2x - 10 -3x^2 - 10x + 2x^3 + 3x^2
Now combine like terms. Like terms are the ones that have the same degree of x: 2x and -10x are like terms; -10 is by itself; -3x^2 and 3x^2 are like terms; 2x^3 is by itself. So:
2x^3 + (-3x^2 + 3x^2) + (2x - 10x) - 10
2x^3 - 8x - 10
Thus, the answer is A.
Hope this helps!
In a triangle ABC, if angle B= 60° and the ratio of two sides is a: C= 2: sqrt3 + 1, then angle A=
45°
40°
35
55°
When Jeff played his new computer game for the first time, he scored 10,000 points. Each time he played, he increased his score by 15,000 points. How many games did Jeff have to play to reach a score of 100,000?
Answer: 6 times.
Step-by-step explanation: 10,000+15000=25000. Keep adding the answer by 15,000 until you reach 100,000. Count how many times you added 15,000.
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)
Which of the following options is closest to the distance (in miles) between points A and B? (5 points)
Group of answer choices
2.24 miles
2.65 miles
3.74 miles
5.29 miles
Answer:
5.29
Step-by-step explanation:
Pythagorean theorem is used
We will call AB x
x^2 + 6^2 = 8^2
x^2 + 36 = 64
x^2 = 28
x = 5.2915026
x = 5.26
h(x) = 0.5(x+2)²-4 identify a, h, and k
Answer:
a = .5
h= -2
k = -4
Step-by-step explanation:
h(x) = 0.5(x+2)²-4
The vertex form of a parabola is written as
y = a(x-h)²+k
Where (h,k) is the vertex
h(x) = 0.5(x- -2)²-4
a = .5
h= -2
k = -4
Solve for p: 5−p+6 = 8
Answer:
p=3
Step-by-step explanation:
To solve, we need to isolate the variable: p
5−p+6 = 8
Combine like terms
5+6 -p =8
11 -p=8
Subtract 11 from both sides
-p = -3
Divide both sides by -1
p=3
What is the volume of this solid? A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches. Recall the formula V = Bh.
Answer:
280
Step-by-step explanation:
10x7 = 70
70/2 = 35
35x8 =280
HELP ASAP 100point's ILL GIVE YOU BRAINLIEST!!!!! 1. Which of the following questions can be used to collect statistical information? Explain why or why not for each one. (a) Who is the current president of the USA? (b) How many slices of pizza can you eat? (c) Does anyone in your family have brown eyes?
A) not statistical because there is one correct response, the presidents name.
B) not statistical , because it is a single person answering.
C) Statistical because the number can be change and be used to determine what percent of the population has brown eyes.
(a) is not statistical because there is no data you can do research on or solve for. There is only 1 president of the USA so there is no data to be solved for.
(b) is not statistical because there is no limit to how many slices of pizza you can eat. There is no data to be collected at all from this question.
(c) is statistical because people on your family could have different eye colors results in the collecting of data.
Best of Luck!
Expand and simplify
X (2x – 4) + x(5x + 8)
Plz help :(
Answer:
7x^2 +4x
Step-by-step explanation:
x (2x – 4) + x(5x + 8) =
(2x^2 -4x) + (5x^2 8x) =
2x^2 -4x + 5x^2 8x =
7x^2 +4x
Look at the attached picture⤴
Hope it will help u...
Israel must choose two different elective classes next year. The list shows all the possible outcomes, in his order of preference Band and painting, painting and chorus, ceramics and band, band and drama, chorus and ceramics, drama and chorus
Answer:
The answer is A and C
"He had to choose between band and chorus."
"He had to choose between painting, ceramics, and drama."
Your Welcome!
Answer:
A.He had to choose between band and chorus.
B.He had to choose between painting, ceramics, and drama.
Step-by-step explanation:
Help ASAP please and explain
Answer:
37
Step-by-step explanation:
There are 2 ways to do this, the first is to just count the number of shaded squares (35)
The second is to find the area of the larger shaded square and subtract the smaller un-shaded rectangles
The large square is 7x7=49 squares
There are two 2x3 rectangles, which are 6 each
49-6-6=37
Which expression is the result of factoring the expression below by taking out its greatest common factor?
12x^2 +8=?
Please help quick
Answer:
3[tex]x^{2}[/tex] + 2
Step-by-step explanation:
The GCF (Greatest Common Factor) is 4. So take this out:
4 (3[tex]x^{2}[/tex] + 2)
If mBOC = 30°, then m = 30
Answer:
330
Step-by-step explanation:
Answer:
330
Step-by-step explanation: I got it right on odyssey!
6x + 9 = 75 jdjdkdjdjdndndnddjdk
Answer:
x =11
Step-by-step explanation:
6x + 9 = 75
Subtract 9 from each side
6x + 9-9 = 75-9
6x = 66
Divide each side by 6
6x/6 = 66/6
x = 11
The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
Answer:
27 degrees
Step-by-step explanation:
The standard deviation means it can be up or down by that many degrees. The temperatures can be between 20-28 degrees. 27 degrees is the only option in this set of numbers.
Answer:
27 degrees
Step-by-step explanation:
Hope this helps!!!!
Find the value of x in the triangle
Answer:
x =72
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+77+31 = 180
Combine like terms
x + 108 = 180
Subtract 108 from each side
x+108-108 = 180-108
x =72
Answer:
72⁰
Step-by-step explanation:
By angle sum property:
x + 77 + 31 = 180
x = 180 - 108
x = 72⁰
Consider the given data set consisting of the number of texts sent by students during lunch.
0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9.9,9,10,10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12. 12. 12. 12, 12
The mean for this data set is 8.9 and the median is 10.
One student texted 48 times during lunch and we added her data point to the original data
set so that it now looks like this:
0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9,9,9,10,10, 10, 10, 10, 11, 11, 1111, 11, 12, 12. 12, 12, 12, 12, 48
What measure of center will be most affected by the new data point?
mean median mode IQR
Consider the given data set consisting of the number of texts sent by students during lunch.
0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9.9,9,10,10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12. 12. 12. 12, 12
The mean for this data set is 8.9 and the median is 10.
One student texted 48 times during lunch and we added her data point to the original data
set so that it now looks like this:
0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9,9,9,10,10, 10, 10, 10, 11, 11, 1111, 11, 12, 12. 12, 12, 12, 12, 48
What measure of center will be most affected by the new data point?
The mean will be most affected.
Answer:
The mean.
Step-by-step explanation:
48 messages is a very high compared to the rest of the data so it will effect the mean. The median and the mode will be unchanged and the IQR will only change slightly. The mean will change form 8.9 to 10.2.
in which quadrant does the point (-5,0) lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. No Quadrant
Answer: B quadrant two
Step-by-step explanation:
The bathysphere was an early version of a submarine, invented in the 1930s. The inside
diameter of the bathysphere was 56 inches, and the steel used to make the sphere was 1.5
inches thick. It had three 10-inch diameter windows. Estimate the volume of steel used to
make the bathysphere to the nearest whole number.
It took about
in.of steel to make the bathysphere.
The volume of steel used to make the bathysphere is approximately 53,481 cubic inches.
Explanation:To estimate the volume of steel used to make the bathysphere, we need to calculate the volume of the sphere and subtract the volume of the windows. The volume of the sphere can be calculated using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius of the sphere. Since the diameter of the bathysphere is 56 inches, the radius is half of that, which is 28 inches. Converting to meters, the radius is approximately 0.7112 meters.
Now we can calculate the volume of the sphere: V = (4/3)π(0.7112)³ ≈ 0.8827 cubic meters.
The volume of each window can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius of the window and h is the height of the window. The radius of each window is half of the diameter, which is 5 inches or approximately 0.127 meters. The height of each window is 1.5 inches or approximately 0.0381 meters.
Now we can calculate the volume of each window: V = π(0.127)²(0.0381) ≈ 0.0024 cubic meters.
Since there are three windows, the total volume of the windows is 3 × 0.0024 ≈ 0.0073 cubic meters.
To estimate the volume of steel used to make the bathysphere, we subtract the volume of the windows from the volume of the sphere: approximately 0.8827 - 0.0073 ≈ 0.8754 cubic meters.
Finally, we convert the volume to cubic inches to estimate the amount of steel used: 0.8754 × 61023.7 ≈ 53481 cubic inches. Rounding to the nearest whole number, the volume of steel used to make the bathysphere is approximately 53,481 cubic inches.
Patty has decided to redecorate her room with parallelograms. She finds a piece of fabric with a parallelogram design and makes a tapestry to hang on the wall. The tapestry is a parallelogram with a base of 3 feet and a height of 4 feet.
A parallelogram has a base of 3 feet and a height of 4 feet.
What is the area of the tapestry?
12 sq ft.
A = bh
A = 3•4
A = 12
Answer: 12 square feet
Step-by-step explanation: the answer is twelve square feet because 3 times 4 equals 12