Answer: The correct option is (C) [tex]2x+5y=-15.[/tex]
Step-by-step explanation: Given that the equation of the line that passes through (-5, -1) and (10, -7) in point-slope form is given by
[tex]y+7=-\dfrac{2}{5}(x-10)~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the standard form of the equation for the above line.
We know that the STANDARD form of the equation of a line is given by
[tex]ax+by=c,~~~~~\textup{[a and b cannot be zero at the same time]}.[/tex]
From equation (i), we have
[tex]y+7=-\dfrac{2}{5}(x-10)\\\\\Rightarrow 5(y+7)=-2(x-10)\\\\\Rightarrow 5y+35=-2x+20\\\\\Rightarrow 2x+5y=20-35\\\\\Rightarrow 2x+5y=-15.[/tex]
Thus, the required standard form is [tex]2x+5y=-15.[/tex]
Option (C) is CORRECT.
What are the coefficients in the expression 24x-3y+7z?
so, the coefficient will 24, -3, and 7. The letters next to the coefficients are called "variable".
Please help me
10 points
In step 2, multiply what is inside the parentheses by 7 (distributive property):
7 * x = 7x
7 * 3 = 21
In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)
Then -7x + 4x = -3x
7x-7x + 21 = 21
In step 4, both sides of the equation are divided by -3.
So (owned by the equality division)
-3x / -3 = x
-21 / -3 = 7
Remember that the division of equal signs results in a positive number.
4x = 7(x-3) Given equation
4x = 7x - 21 7 is distributed inside the parenthesis . So the property used here
is distributive property
-3x = -21 7x is subtracted from both sides. 4x-7x is -3x. So the property used
here is subtraction property of equality.
x = 7 -3 is divided on both sides. -21/3 is 7. So the property used
here is division property of equality.
IS THIS RIGHT? HELP ME CORRECT PLEASE
Answer:
a) the no of coupons used at a super market cannot be normal as the no of coupons will not be symmetrical about the mean. In other words, the no of coupons will be increasing and hence curve cannot be bell shaped as in normal. So not normal
2) The weights of pumpkins that are delivered to a supermarket will be normal provided the number of pumpkins is large. This is because of central limit theorem that the average weight of pumpkin will follow a normal distribution when sample size becomes large.
3) This is a discrete distribution because no of raisins is countable and hence cannot follow a normal distribution. Normal distribution is meant for only continuous variables.
4) The amount of time customers spend waiting will follow an exponential distribution and cannot be normal
Step-by-step explanation:
If the blue radius below is perpendicular to the chord AC, which is 6 units long, what is the length of the segment AB?
A. 1.5 units
B. 6 units
C. 3 units
D. 12 units
Answer:
3 units bruh
Step-by-step explanation:
The length of the segment AB is 3 unit.
What is Property of Circle?According to a property of circles, when a line passes through the center of a circle and is perpendicular to a chord, it divides the chord into two equal parts, essentially bisecting it.
We have,
Chord AC = 6 units
Now, we know that when the diameter is perpendicular to the chord bisect the chord and arc
Then, AB = CB
Thus, the length of the segment AB will be:
AC = AB + CB
6 = x + x
2x = 6
x= 3
AB = 3 unit
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What is the value of c in the equation 2a+3b+5=c if a=3 and b=-3
We have 2 x 3 + 3 x (-3) + 5 = c;
Then, 6 - 9 + 5 = c;
- 4 + 5 = c;
1 = c;
Finally, c = 1.
A store sold 55 pairs of shoes for 85.60 each. Later all the proceeds were spent buying 100 scarves. How much does a scaf cost?
Answer:
4.28 $
Step-by-step explanation:
Given that a store sold 55 pairs of shoes for 85.60 each.
Sale proceeds = 55(85.60) = 428 dollars.
Later on 100 scafs were purchased. For that the price was 428 dollars.
The proceeds of 428 dollars were spent buying 100 scarves.
i.e. price of 100 scarves = 428 dollars
Hence price of 1 scarve = 428/100 = 4.28 $
Price of 1 scarve is 4.28 dollars is the answer
Which answer shows 2.13786 x 10 to the power of 4 written in standard form?
2.13786 X 10 to the power of 4 equals 21378.6
Answer:
Which answer shows 2.13786 times 10 Superscript 4 written in standard form? Option C
(C) 21,378.6 <====== Hope this helps
Step-by-step explanation:
Scientific Notation:
2.13786*10^4
Expanded Form: 21378.6
In a sale, there is 50% off all prices. A chair costs ?17.50 in the sale. How much was it before the sale?
Each number in the first table represents the points scored by a player on the Ace Academy basketball team. Make a frequency distribution, including relative frequency (percent of total: )
1
5
8
10
10
13
3
6
9
10
11
13
3
7
9
10
12
14
4
7
10
10
12
14
For the relative frequencies below, round to the nearest tenth.
Answer:
We know that, the frequency table consists of the number of times the number is appearing.
Also, 'relative frequency is the percent of the total of the frequencies'.
So, the corresponding frequency table is given by,
Points Scored Frequency Relative Frequency (%)
1 1 4.17
3 2 8.33
5 1 4.17
6 1 4.17
7 2 8.33
8 1 4.17
9 2 8.33
10 6 25
11 1 4.17
12 2 8.33
13 2 8.33
14 2 8.33
As, the total of the frequency is 24. So, we get the relative frequency table above.
The relative frequencies of the given data are as follows:
1: 0.043: 0.084: 0.045: 0.046: 0.047: 0.088: 0.049: 0.0810: 0.1711: 0.0412: 0.0813: 0.0814: 0.08.What are the relative frequencies of the given data?Relative frequency is the proportion of the number of occurrences of a particular value to the total number of values.
The frequency of each value are:
Frequency of 1: 1Frequency of 3: 2Frequency of 4: 1Frequency of 5: 1Frequency of 6: 1Frequency of 7: 2Frequency of 8: 1Frequency of 9: 2Frequency of 10: 4Frequency of 11: 1Frequency of 12: 2Frequency of 13: 2Frequency of 14: 2The total number of values = 24
The relative frequency of each value are:
Relative frequency of 1: 1/24 ≈ 0.0417Relative frequency of 3: 2/24 ≈ 0.0833Relative frequency of 4: 1/24 ≈ 0.0417Relative frequency of 5: 1/24 ≈ 0.0417Relative frequency of 6: 1/24 ≈ 0.0417Relative frequency of 7: 2/24 ≈ 0.0833Relative frequency of 8: 1/24 ≈ 0.0417Relative frequency of 9: 2/24 ≈ 0.0833Relative frequency of 10: 4/24 = 1/6 ≈ 0.1667Relative frequency of 11: 1/24 ≈ 0.0417Relative frequency of 12: 2/24 ≈ 0.0833Relative frequency of 13: 2/24 ≈ 0.0833Relative frequency of 14: 2/24 ≈ 0.0833.Read more about relative frequencies
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What are the zeros of the function?
f(x) = x (x - 4)(x + 8)
Select each correct answer.
A) -8
B) -4
C) 0
D) 4
E) 8
The zeros of the function f(x) = x(x -4)((x + 8) is 0, 4 and -8. The correct options for the zeros of the function are: A, C, D
The zeros of a function are the values of the variables x for which f(x) is said to be equal to zero. From the given function, we will replace the value of x with zero and solve the function, the variable we get at the end of the solution are the zeros of the given function.
SO,
f(x) = x (x - 4)(x + 8)
Now, the zeros of the function can be computed as:
f(0) = 0 (0 - 4)(0 + 8)
f(0) = 0 ( -4) (8)
∴
f(0) = x or x - 4 or x + 8
f(0) = x or x = 4 or x = -8
Therefore, the correct options for the zeros of the function are: A, C, D
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HELP 20 Points!!
Ella and Kate played basketball last year. Ella scored 16 points per game. Kate's total points for the season were 22 less than Ella's. The following expression shows Kate's total points:
16z − 22 In the expression, what does variable z represent?
Select one:
a. Ella's total points for the season.
b. Kate's total points for the season.
c. The number of games that Ella played. (the one I think)
d. Kate's points per game.
c. The number of games that Ella played. (the one I think)
The answer is c the number of games that Ella played, because it says she got 16 points per game.
Sandra saves 12% of her salary for retirement. This year her salary was $3000 more than in the previous year, and she saved $4200. What was her salary in the previous year?
The previous year's salary is x.
This year's salary is x + 3000.
12% of this year's salary is $4200.
12% * (x + 3000) = 4200
0.12(x + 3000) = 4200
x + 3000 = 35,000
x = 32,000
Answer: Her salary in the previous year was $32,000.
layla earned $42.00 babysitting in two days. She worked 2.25 hours yesterday and 3.25 hours today. If layla was paid the same amount every hour she works , how much did she earn per hour?
Sam is looking for a cell phone plans.A local company offers a monthly plan for $58.95. The company is having a sale and offering a discount for $4.75 off the monthly plan.Sam says the new cost is $11.45. Explain sams error and find the correct new cost
Answer:
Correct cost for the cell phone monthly plan = 54.2$
Explanation:
Price for monthly plan = 58.95$
Discount = 4.75 $
New cost found out by Sam = 11.45$
Discount considered by Sam = 58.95 - 11.45 = 47.5$
So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.
Actual cost = 58.95 - 4.75 = 54.2$
Correct cost for the cell phone monthly plan = 54.2$
Five friends are chipping in for a birthday gift for their teacher. David and Jakob each con tribute $13. Stephanie Kate and Janice each contribute eight dollars. What percentage of the total did the girls contribute
Answer:
48%
Step-by-step explanation:
Given that five friends are chipping in for a birthday gift for their teacher.
They were David, Jakob , Stephanie, Kate and Janice
Boys contributed 13 dollar each i.e. a total of 26
Girls contributed 8 each i.e. a total of 24
total contribution =50
Out of total contribution 50, girls total contrbution = 24
Hence percent = 24(100)/50 = 48%
PLEASE HELP!!! WILL GIVE LOTS OF POINTS IF ANSWERED!!!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
a
3x+4y–12=0
Answer:
The slope − intercept form is __
The slope is __
The y − intercept is ( __ , __)
Slope intercept form: y=3/4 - 3
slope:3/4
Y-intercept: -3
Because you subtract 4y from both sides to get it on the other side of the equation. You don’t want it to be 4y=3x-12 though so you would divide both sides by 4 which would give you y=3/4x-3. I hope this is right and it helps
please help on this one?
A i think it could be wrong im only in middle school
This one should be C. Just look at the corresponding letters and plants. It’s easy once you get the numbers and items correctly equaling each other.
At what point on the curve x^2 + y^2 = 9 is the tangent line vertical?
x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.
This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).
When is the tangent line vertical? when it passes through the x-axis.
Answer: (-3, 0), (3, 0)
A swimming pool in 65.25 feet long and 40.5 feet wide. How much longer is the pool than it is wide?
Okay so you subtract those two and you get 24.75.
You have to find how much more the length is compared to the width
You subtract the length by the width
65.25 - 40.5 = 24.75
The answer is 24.75 feet
BRAINLIEST?!
Preston is making cookies. He has fraction 4/5 cup of flour in a bag. He then used two fraction 1/ 10 cup scoops of flour for his recipe. Which of these best explains the amount of flour left in the bag?
What are the answer choices?
the answer is 6/10.
HOPE IT HELPS.
-crhinds1
Do questions 1 and 2 (View picture for question 1 )
1. Milton wants RST to be similar to KLM. where should he place S?
A.(1,3)
B.(1,6)
C.(2,3)
D. (2,6)
2. Evaluate 3 - 4(x + 2) when x = 0
Factor each polynomial completely over the set of complex numbers.
1. a(x)=2x^4-3x^3-24x^2+13x+12
2. b(x)=x^4-2x^3-17x^2+4x+30
3. c(x)=2x^3-5x^2+12x-5
Answer:
1. a(x) = (x-4) (x-1) (2x+1) (x+3)
2. b(x) = (x^2-2) (x-5) (x+3)
3. c(x) = (2x-1) (x^2- 2x + 5)
Wich number rounded to the nearest hundred thousend si 800,000 use the number to help you
the number that would have rounded to 800,000 would have been 10,000 so it would have been 70,000
What is the apparent solution to the system of equations graphed above?
(3,2)
(2,3)
(0,-3)
(0,2)
The solution of the system of equations is (2, 3), the second option.
What is the apparent solution to the system of equations graphed above?When we have a system of equations, one way of solving it is graphing both equations in the same coordinate axis and then finding the point where the graphs intercept.
Here we can see two lines, and the lines intercept at the point (2, 3), so we can say that the solution of the system is (2, 3), which is the second option.
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Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Answer:
As written in the question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
Rules are
Same number on both dice= +3
Different numbers, with an even sum= +1
An odd sum= -2
After five rounds score of Chloe=+1
→1=3+1+(-2)+(-2)+1
⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)
As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.
Answer:
this was also my homework :O
Step-by-step explanation:
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. What expression gives the percent of survey participants who chose fishing?
Answer: The percent of survey participants who chose fishing= 61.70%
Step-by-step explanation:
Total number of participants who completed survey= 18 + 29= 47
Now, the number of participants who chose fishing= 29
So,
The percent of survey participants who chose fishing= (the number of participants who chose fishing/the number of participants who completed survey)x100
The percent of survey participants who chose fishing= 29/47x100
The percent of survey participants who chose fishing= 61.70%
Answer:
Step-by-step explanation: 29/18+29 x 100
Which of the following is a counterexample to the statement "All odd numbers are divisible by 3"?
7 is a prime number
9 is divisible by 3
8 is not divisible by 3
3 is divisible by itself
Answer:
That 9 is divisible by 3.
Step-by-step explanation:
For this case we have the following statement:
"All odd numbers are divisible by 3"
The options given are the following:
a) 7 is odd but not divisible by 3, therefore it is a counterexample of the given statement
b) 9 is odd and is divisible by 3, therefore it is not counter-example
c) 8 is an even number, it is not a counter-example
d) 3 is odd and affirms the given statement.
Therefore, the correct answer is option A.
Answer:
Option A
Jane paid $40 for an item after she received a 20% discount. Jane's friend says that this means that the original price was $48. A) How do you think Jane's friend arrived at this amount? B) Is her friend correct? Why or why not?
Answer:
A) She must have used 20% from the $40 instead of the unknown price.
B) No, because: see below explanation.
Step-by-step explanation:
X is the original price.
If $40 is 80% of x, to find 1% of the price, divide $40 by 80.
You will get $0.50 for 1%.
To find the full amount, just multiply that by 100.
0.50*100= 50.
Total: $50.
Hope this helped!
Jane's friend calculated the original price by dividing $40 by 80 and multiplying by 100. However, they made a mistake in their calculations. The correct original price before the 20% discount should be $50.
Explanation:A) It seems that Jane's friend arrived at $48 by considering $40 as 80% of the original price. Since Jane received a 20% discount, it means she paid 80% of the original price. Thus, her friend might have calculated by dividing $40 by 80 and then multiplying by 100 to find the original price.
B) However, her friend's calculation is incorrect. If we indeed divide $40 by 80 and multiply by 100, we get $50, not $48. This means the original price of the item is $50.
To further illustrate this, let's consider the original price to be 'x'. If Jane received a 20% discount, she paid only 80% of 'x'. So, 0.8x = $40. Solving for 'x', we get x = $40 / 0.8 = $50.
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Draw a model to represent 3/4 divided by 3/12
The answer you are looking for is 1/3.
First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.
So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.
I hope this helps!
The required model is attached in the image and the division of 3/4 by 3 /12 is 3.
Given that,
To draw the model to represent 3/4 divided by 3/12.
In mathematics, it deals with numbers of operations according to the statements.
Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3
Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.
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Duane bought 63 3/4 inches of chain for an art project. How many 15 inch chains can he make from it?
4inches of chain 63and 35 inches of chain decided by 15 equal 4 4 15 inches of chain