Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
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graph y=3/4x-4 ....……………
The required graph is shown below that represents equation y = (3/4)x - 4.
The equation y = (3/4)x - 4 represents a linear function in slope-intercept form, where the coefficient of x is the slope of the line and the constant term (-4) is the y-intercept.
To graph the equation y = (3/4)x - 4, follow these steps:
Start by plotting the point (0, -4) on the y-axis. This is the point where the line intersects the y-axis.
Since the slope is 3/4, it means that for every 4 units moved to the right along the x-axis, the corresponding y-value moves up 3 units.
From the y-intercept (0, -4), move 4 units to the right and then 3 units up to find another point. This gives us the point (4, -1).
The two points (0, -4) and (4, -1), draw a straight line passing through both points. This line represents the graph of the equation y = (3/4)x - 4.
Learn more about the graph of the equation here:
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What is the ratio 28 : 35 written in lowest terms?
A.9: 15
B.7:19
C.4:5
D.3:7
Answer:
4:5
Step-by-step explanation:
both sides divide by 7
On a game show, Celine is given the digits from 1 to 6 and has to use them to fill in a row with 2 spots. If the number formed is the correct price of the item displayed, she wins the item. Given that each digit can be used only once, how many 2-digit prices are possible?
Answer:
30 Two digits prices are possible.
Step-by-step explanation:
Celine was given numbers from 1 to 6
so the possible numbers are 1, 2, 3, 4, 5, 6
And we need to make a two digit number using these digits by using them only once
Using the box method of permutation
We have 6 possibilities on the tenth place of the two digit numberOn the One's place we will have 5 choices of numbers as one among these six given digits is used on the tenth place (Non repeating)So we will have total permutations = 6*5 = 30
Therefore 30 Two digits prices are possible.
Find the value of x
is this correct?
Answer:
Yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
3(x+2) = 24 (because it’s an isosceles so both sides are equal)
x+2 = 24/3
x +2 = 8
x = 8-2
x = 6
what is the quotient of 6 1/4 ÷ (-5/8)
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
Answer:
[tex]-\frac{12}{5}[/tex]
Step-by-step explanation:
4x - 4 < 8 AND 9x + 5 > 23
Answer:
- infinite 3 for the first one. x<3
x>2 ....2 infinite
can someone help me i would really appreciate you i dont understand this
Answer:
127 degrees
Step-by-step explanation:
If <1 is 53 degrees, then its vertical angle is also 53 degrees. Same side interior angles are supplementary which means they add up 180 degrees.
180 - 53 = 127
EEEEEEEEEEEEEEEEEEEEEEEE
Simplify the following
(X-5)2
Answer:
2x-10 by the distributive property of equality
Tia takes $50 from her bank account to pay for the bus fare for the month. She does this each month for 7 months in a row. Which equation models this situation and represents the change it causes in Tia's bank balance
Answer:
$490 dollars
Step-by-step explanation:
Tia takes 50 dollars for her bus fare every month for 7 months. Do 7 X 5 to get your answer which is 49 then add a zero to 49.
In a football stadium, 43% of the crowd cheering for Team A, and 52% of the crowd is female. 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?
Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4
Which of the following is divisible by 5 but not 10 ? 230, 255, 260, 500
Answer:
255 -_-
Step-by-step explanation:
230 is divisible by both
260 is divisible by both
500 is definitely divisible by both
Just use your calc
If a 70 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person's
acceleration?
What is the product?
Step-by-step explanation:
(-2a² + s)(5a² - 6s)
= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)
= -10a⁴ + 12a²s + 5a²s - 6s²
= -10a⁴ + 17a²s - 6s². (1st option)
Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?
Answer:
$112
Step-by-step explanation:
x/2+42= 77
x/2 = 35
x=70
70+42= $112
Find the exact value of tan 5x/4. 1 - -1
Answer:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
you have four 50 g weights, two 100 g weight, and one 250 g weight. How can you balance the scale. PLEASE HELP ASAP!!!! WILL MARK BRAINLIEST
Answer:
You put the 250-gram weight and one 50-gram weight on one side. Then you put the two 100-gram weights and two 50-gram weights on the other side. You leave the last 50-gram weight out of the equation.
Step-by-step explanation:
Feel free to give brainliest.
Have an extraordinary day!
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
can someone help me understand this
Answer:
The answer for the question is E.
Pls help ASAP and pls explain someone:)
Answer:
D is the answer
:D
Someone please help me make an equation for the first question! :)
What is the equation of the line in slope-intercept form?
Answer:
y=5/2x+5
Step-by-step explanation:
y=mx+b
m=slope=rise/run=5/2
b=y-intercept=5
Answer:
Step-by-step explanation:
What is the missing y value in the table
Answer: 70.
Step-by-step explanation: You have to find the common factor, what one x equals to y, you can do that by dividing 35/5 which is 7. To find y, you have to do 7x10 = 70.
Answer:
it might be 70 or 75
Step-by-step explanation:
so yea
HELP ME PLEASE!!!!!!
The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t .
Write an inequality that can be used to represent the cost of a pizza that is at most $12.
What is the most number of toppings that a pizza can have and still be at most $12?
Step-by-step explanation:
$9.99 + $0.35t <= $12
$0.35t <= $2.01
t <= 5.74
The most number of toppings would be 5.
Answer:
9.99 + 0.35t ≤ 12
5 toppings
Step-by-step explanation:
First part of question:
9.99 + 0.35t ≤ 12
"At most" means you use ≤.
Second part of question:
Take the inequality and solve for t:
9.99 + 0.35t ≤ 12
0.35t ≤ 2.01
t ≤ 5.74
So, the most number of toppings that a pizza can have and still be at most $12 is 5 toppings. You have to round down 5.74 to 5 otherwise the cost will exceed $12.
The entrance to our school has a height of 10.5 feet. There are
approximately 30.5 centimeters in 1 foot. What is the height of the
entrance in centimeters?
Answer:
Step-by-step explanation:
Height Calculator: predict a child's adult height with significant accuracy. You can estimate how tall you will be, or the adult height of your child or a child patient. Accepts metric and imperial units: inches, feet, cm, meters. Output (mature height) is in centimeters and feet and inches.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. Determine the flag's length and width if the length is 110 feet greater than the width. Use pencil and paper. Write three situations to which you could apply the resulting system of equations.
What is the length of the flag?
Answer:38
Step-by-step explanation:
SOMEONE ANWSER QUICK !
If you want to solve the system of equations below using the elimination methiod, which of the following should NOT be
your first step:
-3x + 4y = 0
2 - 2y = 8
A)Multiply every term in the bottom equation by 3.
B) Multiply every term of the bottom equation by 2.
C) Multiply every term of the bottom equation by -3.
D Multiply every term of the top equation by 2, and every term of the bottom equation by 4.
Answer:
I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.
Step-by-step explanation:
A ball is dropped from a certain height. The table shows the rebound height of the ball after a series of bounces.
From what height, approximately, do you think the ball was dropped? Explain or show your reasoning.
Answer:
50
Step-by-step explanation:
becasue