The number of solutions to the system is 1
What is a linear equation?A linear equation is a equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the number of solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
y = 4x + 8
4y = 4x - 8
Substitute y = 4x + 8 in 4y = 4x - 8
4(4x + 8) = 4x - 8
Expand the equation
16x + 32 = 4x - 8
Evaluate the like terms
12x = - 40
Divide by 12
x = -10/3
The above means that the number of solutions to the system is 1
Read more about system of linear equations at
https://brainly.com/question/14323743
#SPJ1
IF THE ODDS AGAINST A PARTICULAR CANDIDATE WINNING AN ELECTION ARE 9
TO 5, WHAT IS THE PROBABILITY THAT THE CANDIDATE WILL WIN?
The probability that the candidate will win is P = 0.357
How to find the probability?
We know that the odds against the particular candidate are 9 to 5.
The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.
Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:
P = 5/14 = 0.357
The probability that the candidate will win is P = 0.357
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
The letters of "EAGLES" should be evenly spaced across a 70-inch-wide banner, with no margins. Each letter is 10 inches wide. How many inches (x) should exist between each pair of letters
Answer:
2 Inches or ~1.43 Inches
Step-by-step explanation:
2 Inches if it's not including the spacing before the first "E" and after the "S", ~1.43 Inches if it's including the spacing.
You would get 2 Inches since if each letter is 10 inches (total 6 letters), that would be 60 inches. There are 5 total spaces in between all the letters. 70 Inches(Banner size) - 60 Inches (total letter size) = 10 Inches, divided equally within the 5 spaces. That would equal 2 :)
You also get ~1.43 Inches by doing the same process as the one shown above^ (that is if you're including the spacing before and after the word)
:)
Identify the discrete data.
A. the length of a caterpillar during a week
B. the number of dogs you take for a walk each day
C. the wind speed during a particular day
D. the temperature of the water in the local river during the day
Discrete data exists as a numerical kind of data that contains total, concrete numbers with clear and fixed data values specified by counting.
Therefore, the correct answer is option B. the number of dogs you take for a walk each day.
What is discrete data?Discrete data exists as a numerical kind of data that contains total, concrete numbers with clear and fixed data values specified by counting. Discrete data exists a count that involves integers only a limited number of values exists possible. This kind of data cannot be subdivided into distinct parts. Discrete data contains discrete variables that exist in finite, numeric, countable, and non-negative integers.
Therefore, the correct answer is option B. the number of dogs you take for a walk each day.
To learn more about discrete data refer to:
https://brainly.com/question/14374747
#SPJ9
A company that produces dog food claims that its bags contain 11 kg of food. From
prior experimentation, it is known that the weight of the dog food in these bags is normally
distributed with a standard deviation of 0.6 kg. From a random sample of 25 bags, the mean
weight of the dog food was 10.6 kg. We are concerned that the company is exaggerating how
much dog food they put in their bags. Test at the 5% significance level.
By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.
We are required to find whether the company is right in saying that their bags contain 11 kg of food.
First we have to make hypothesis.
[tex]H_{0}[/tex]:μ≠11
[tex]H_{1}[/tex]:μ=11
We have to use t statistic because the sample size is less than 30.
t=(X-μ)/s/[tex]\sqrt{n}[/tex]
We will use s/[tex]\sqrt{n}[/tex]=0.6 because we have already given population standard deviation of weights.
t=(11-10.6)/0.6
=0.4/0.6
=0.667
Degree of freedom=n-1
=25-1
=24
T critical at 0.05 with degree of freedom 24=2.0639
T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.
Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Learn more about t test at https://brainly.com/question/6589776
#SPJ1
Consider the line 3x - 4 y = 7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
The slope of a line perpendicular to this line is -1/3. The slope of a line parallel to this line would be 3.
Step-by-step explanation:
Perpendicular lines have opposite(sign) and reciprocal slopes.
Parallel lines have the same slope.
can someone help me with this, it's urgent!
1. D
2. B
3. E
4. C
5. B
Concept:From the three examples at the top of the page, the sum of the bottom two parts of the triangle equals to six times the value of the part at the top.
For example, the first one: 20, 10, 5 (Tip)
20 + 10 = 305 × 6 = 30For example, the second one: 4, 14, 3 (Tip)
4 + 14 = 183 × 6 = 18Solve:Question 1
Given information
Tip = 15
Bottom = ?, 51
Determine the sum
15 × 6 = 90
Find the other bottom part
90 - 51 = 39
[tex]\Large\boxed{D.~39}[/tex]
Question 2
Given information
Tip = 9
Bottom = 21, ?
Determine the sum
9 × 6 = 54
Find the other bottom part
54 - 21 = 33
[tex]\Large\boxed{B.~33}[/tex]
Question 3
Given information
Tip = ?
Bottom = 60, 60
Determine the sum
60 + 60 = 120
Find the tip
120 ÷ 6 = 20
[tex]\Large\boxed{E.~20}[/tex]
Question 4
Given information
Tip = ?
Bottom = 18, 30
Determine the sum
18 + 30 = 48
Find the tip
48 ÷ 6 = 8
[tex]\Large\boxed{C.~8}[/tex]
Question 5
Given information
Tip = 12
Bottom = ?, 38
Determine the sum
12 × 6 = 72
Find the other bottom part
72 - 38 = 34
[tex]\Large\boxed{B.~34}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
2x² + 5x +2can you please give me the answer of 2x + 5 x + 2
Answer:
you better give me brainliest
Step-by-step explanation:
2x +5x+2 = 7x+2
Zachary's weight is 130% of Noah's weight. If Noah weighs 75 pounds, what does Zachary weigh?
Answer:
Zachary weights 95.7 pounds
A book sold 42,600 copies in its first month of release. Suppose this represents 9.2% of the number of copies sold to date. How many copies have been sold to date?
The number of copies sold (x) to date is 463043
How to determine how many copies have been sold to date?The given parameters are:
Copies sold = 42,600
Proportion sold = 9.2% of the number of copies sold to date.
The number of copies sold (x) to date is calculated as:
Copies sold = Proportion * number of copies sold to date
Substitute the known values in the above equation
9.2% * x = 42,600
Divide both sides by 9.2%
x = 463043
Hence, the number of copies sold (x) to date is 463043
Read more about proportions at:
https://brainly.com/question/18437927
#SPJ1
The price of a train ticket consists of an initial fee plus a constant fee per stop. The table compares the number of stops and the price of a ticket (in dollars). Stops Price (dollars) 333 6.506.506, point, 50 777 12.5012.5012, point, 50 111111 18.5018.5018, point, 50 What is the fee per stop?
Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.
Equationlet
Initial fee = xFee per stop = yx + 3y = 6.50
x + 7y = 12.50
Subtract both equation to eliminate x7y - 3y = 12.50 - 6.50
4y = 6
y = 6/4
y = 1.5
Substitute y = 1.5 intox + 3y = 6.50
x + 3(1.5) = 6.50
x + 4.5 = 6.50
x = 6.50 - 4.5
x = 2
Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.
Learn more about equation:
https://brainly.com/question/11418438
#SPJ1
PLEASE HELP ME WITH THIS QUESTION
6
Answer:
45
Step-by-step explanation:
Assuming this is a trapezoid,
[tex]\frac{29+WZ}{2}=37 \\ \\ 29+WZ=74 \\ \\ WZ=45[/tex]
I need help please yall
use orders of operation and simplify
Answer: [tex]\large\boxed{12x^3-30x+3=0}[/tex]
Step-by-step explanation:
[tex]Solve:\\\ 6(2x^2-5)x=-3\\\\Use\ distributive\ property\ first\\\\(12x^2-30)x=-3\\\\Now\ multiply\ the\ terms\ in\ ()\ by\ 'x'\\\\12x^3-30x=-3\\\\\large\boxed{12x^3-30x+3=0}[/tex]
The legs of a 45-45-90 triangle has lengths of 21. What is the length of the hypotenuse?
Answer:
[tex]21 \sqrt{2} [/tex]
Step-by-step explanation:
See attached image.
Three books are what percent of four books?
If four books are 100%, then 3 books are how much percent of total books?
[tex]\frac{3}{4}[/tex] × 100 = 3 × 25 = 75%
Hope it helps!
The answer is 75%.
To find the percentage, divide the number of given books by total books and multiply by 100%.
(3 ÷ 4) × 100%0.75 × 100%75%Some of the steps in the derivation of the quadratic formula are shown. Step 4: StartFraction negative 4 a c + b squared Over 4 a EndFraction = a ( x + StartFraction b Over 2 a EndFraction) squared Step 5: (StartFractio.n 1 Over a EndFraction) StartFraction b squared minus 4 a c Over 4 a EndFraction = (StartFraction 1 Over a EndFraction) a (x + StartFraction b Over 2 a EndFraction) squared Step 6: StartFraction b squared minus 4 a c Over 4 a squared EndFraction = ( x + StartFraction b Over 2 a EndFraction) squared Step 7: StartFraction plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction = x + StartFraction b Over 2 a EndFraction Which best explains why the expression plus or minus StartRoot b squared minus 4 a c EndRoot cannot be rewritten as b plus or minus StartRoot negative 4 a c EndRoot during the next step? Negative values, like −4ac, do not have a square root. The ± symbol prevents the square root from being evaluated. The square root of terms separated by addition and subtraction cannot be calculated individually. The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.
How to use the quadratic formula?
The general formula for a quadratic equation is;
ax² + bx + c = 0
Now, the steps to derive quadratic formula to find the roots of this equation are as follows;
Step 1; Divide both sides of the equation by a to get;
x² + (b/a)x + c/a = 0
Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x = -c/a
Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² = -c/a + b²/4a²
Step 4; Factor the left side and combine the right side to get;
(x + (b/2a))² = (b² - 4ac)/(4a²)
Step 5: Extract the square-root of both sides of the equation to get;
x + (b/2a) = ±(√(b² - 4ac))/2a
The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.
Read more about Quadratic Formula at; https://brainly.com/question/8649555
#SPJ1
3,480
A)348 hundreds
B)3,480 ones
C)3 x 1,000+ 4 x 100 + 8 x 80
D)3 thousands and 80 tens
C)3 thousands and 48 tens
Answer
B
explanation
3480ones = 3480x1=3480
Question 24: [1 + 1 + 1 + 1= 4 points]
Let X be a discrete random variable with the following
x 0.2 0.4 0.5 0.8 1
P(x) 0.1 0.2 0.2 0.3 0.2 (a) Find () , the range of the random variable X
Considering the given discrete probability distribution, the range of the variable X is given by:
Range(X) = {0.2, 0.4, 0.5, 0.8, 1}.
What is the range of a random variable?The range of a random variable is the set of all values that the variable can assume.
From the table, we have that X can assume the values of 0.2, 0.4, 0.5, 0.8 and 1, hence the range of the variable X is given by:
Range(X) = {0.2, 0.4, 0.5, 0.8, 1}.
More can be learned about a discrete probability distribution at https://brainly.com/question/24802582
#SPJ1
Multiply each of the following(X+7)and(y-7)
Answer:
xy-49
Step-by-step explanation:
x x y is xy and -7x7 is 49 so the answer is xy- 49
how many decimal places does 22.22105 have
Answer:
5
Step-by-step explanation:
where there is the decimal point,you count the numbers after the decimal point
Complete the statement below with the appropriate term. According to John Locke, is how we acquire basic knowledge. Choose the best answer.
Which of the following explains why, in many of the problems, historical data is used?
Information changes rapidly.
It is an opportunity to study history at the same time.
Better math problems can be made from historical data.
Up-to-date information is difficult to find.
According to John Locke, Experience is how we acquire basic knowledge.
What explains why, in many of the problems, historical data is used is; Information changes rapidly.
What is the theory of John Locke?1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.
Thus, the missing word in the question is "Experience".
2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.
Read more about John Locke at; https://brainly.com/question/9634224
#SPJ1
What is the perimeter of the figure shown? Round your answer to the nearest tenth.
help asap please
tysm
If the points of the vertices are (-3,1_,(4,2),(9,-3),(2,-4) then the perimeter of the figure is 28.28 units.
Given points of the vertices of the figure having four sides be (-3,1),(4,2),(9,-3),(2,-4).
We have to find the perimeter of the figure.
Perimeter is the sum of lengths of all the sides of a figure.
First give some name to the points so that it will be easy to understand the sides like A(-3,1),B(4,2),C(9,-3),D(2,-4).
Perimeter of the figure =AB+BC+CD+DA
AB=[tex]\sqrt{(2-1)^{2} +(4+3)^{2} }[/tex]
=[tex]\sqrt{1+49}[/tex]
=[tex]\sqrt{50}[/tex] units
BC=[tex]\sqrt{(9-4)^{2} +(-3-2)^{2} }[/tex]
=[tex]\sqrt{25+25}[/tex]
=[tex]\sqrt{50}[/tex]units
CD=[tex]\sqrt{(2-9)^{2} +(-4+3)^{2} }[/tex]
=[tex]\sqrt{49+1}[/tex]
=[tex]\sqrt{50}[/tex] units
DA=[tex]\sqrt{(2+3)^{2} +(-4-1)^{2} }[/tex]
=[tex]\sqrt{25+25}[/tex]
=[tex]\sqrt{50}[/tex] units
Perimeter=[tex]\sqrt{50} +\sqrt{50} +\sqrt{50} +\sqrt{50}[/tex]
=4[tex]\sqrt{50}[/tex]
=4*5*[tex]\sqrt{2}[/tex]
=20[tex]\sqrt{2}[/tex]
=20*1.411
=28.284
After rounding off we will get 28.28 units.
Hence if the points of the vertices are (-3,1_,(4,2),(9,-3),(2,-4) then the perimeter of the figure is 28.28 units.
Learn more about perimeter at https://brainly.com/question/397857
#SPJ1
create a pattern of 6 numbers by multiplying a number by 5 to get the next number.starts with 4
Answer:
45 405 415 425 435 445
Step-by-step explanation:
this are the pattern of 6 numbers multiplying by number 5 to get the number starts with 4
Answer:
4,20,100,500,1500,8500.
Step-by-step explanation:
prove 1-cot23 = 2/ ( 1- cot22)
From all the steps below, we have been able to prove that; 1 - cot23° = 2/(1 - cot22°).
How to prove trigonometric functions?We want to prove that 1 - cot23° = 2/(1 - cot22°).
We will prove it using the trigonometric expression
cot(22° + 23°) = cot45°
Using trigonometric identities, we can rewrite as;
(cot22° cot23° - 1)/(cot22° + cot23°) = 1
Cross multiply to get;
cot22° cot23° - 1 = cot22° + cot23°
Rearrange to get;
cot22° cot23° - 1 - cot22° - cot23° =0
⇒ cot22° cot23° - 1 - cot22° - cot23° + 2 =2
⇒ cot22° cot23° + 1 - cot22° - cot23° =2
⇒ cot22° cot23° - cot22° - cot23° + 1 = 2
⇒ cot22° (cot23° - 1) - 1 (cot23° - 1) = 2
⇒ (cot22° - 1) (cot23° - 1) = 2
Divide both sides by (cot23° - 1) to get;
cot23° - 1 = 2/(cot22° - 1)
⇒ 1 - cot23° = 2/(1 - cot22°).
Read more about trigonometric proof at; https://brainly.com/question/7331447
#SPJ1
2d(3*6)=48y when y=1/4
Answer: d = 1/3
Step-by-step explanation: 48y = 48/4 = 12. So, 2d(18) is equal to 12. 12/18 is 2/3 so 2d has to equal 2/3. That means d = 1/3.
Write an equation of the line that passes through (3,-2) and is parallel to the line y = 2x + 4.
Answer: [tex]y+2=2(x-3)[/tex]
Step-by-step explanation:
Parallel lines have the same slope, so substituting into point-slope form, the equation is
[tex]y+2=2(x-3)[/tex]
How many numbers of possible live card hands (hands in five-card poker) drawn without replacement from a standard deck of 52 playing cards?Please give full details!
The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.
How to explain the information?A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.
Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.
We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.
Learn more about permutations and combination on:
https://brainly.com/question/4658834
#SPJ1
66 Is 52 more than 7 times a number
Answer: 2
Step-by-step explanation: 66-52 is 14 and 14/7=2
Claire buys a condo for $350,000. The value of the condo appreciates on average 5% per year where she
bought the condo
If you know the rest of the problems on the page then that would help;)
1. The best way that we can represent the condo that Claire bought is by option B. [tex]350000(1.05)^{t}[/tex]
How to determine the functionTo determine the function, we would have to do so by making use of the given equation that we have here.
This is given as
Ct = [tex]A(1+r)^t[/tex]
Where a is the principal
r is the rate of interest and
t is the time
2. we have 70 = 30(1.03)^t
70/30 = (1.03)^t
We have to take the log of the function above in order to find the value of t
t = 28.665
This is approximated to 29
Hence the answer here is option A after 29 weeks.
Read more on interest rate here: https://brainly.com/question/2294792
#SPJ1
If the diameter of a circular pond is x meter, what is the its circumference?
Answer:
piex
Step-by-step explanation:
the circumference of a circle is pie times the diameter of the circle.
I have 3 more then twice as many socks then keith she has 19 pairs of socks how many do keith have using algebra to solve this what is one step to take?
Answer:
40
Step-by-step explanation:
19*2 = 38 + 2 = 40
Answer:
Step-by-step explanation:
we have to get k by itself on one side of the equal sign. To do that we have to get rid of 3. To get rid of 3 we have to do the opposite. The opposite of +3 is -3 so we -3 on both sides. 19 - 3 = 16. So k = 16
k+3=19
-3 -3
k=16