Answer:
[tex]\bold{y=3x-11}[/tex]
Step-by-step explanation:
Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].
For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].
To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].
Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?
1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)
9514 1404 393
Answer:
3. 2n - 4 = 7(n + 8)
Step-by-step explanation:
Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:
2n -4 = 7(n +8)
i will give brainliest
Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores
Answer:
[tex]Adam = 60[/tex]
[tex]Brandon = 66[/tex]
[tex]Chen = 74[/tex]
[tex]Damion = 75[/tex]
[tex]Erica = 75[/tex]
Step-by-step explanation:
Given
Represent each friend with the first letter of their name
So:
[tex]A + B + C =200[/tex]
[tex]B + C + D = 215[/tex]
[tex]C + D +E= 224[/tex]
[tex]A + B + C + D + E = 350[/tex]
[tex]D , E > C[/tex]
Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]
[tex]200 + D + E = 350[/tex]
Collect like terms
[tex]D + E = 350-200[/tex]
[tex]D + E = 150[/tex]
Make D + E the subject in [tex]C + D +E= 224[/tex]
[tex]D + E = 224 - C[/tex]
Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]
[tex]224 - C = 150[/tex]
Collect like terms
[tex]C = 224 - 150[/tex]
[tex]C = 74[/tex]
Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]
[tex]A + B + 74 = 200[/tex]
[tex]A + B =- 74 + 200[/tex]
[tex]A + B =126[/tex]
[tex]B + 74 + D = 215[/tex]
[tex]B + D = -74 + 215[/tex]
[tex]B + D = 141[/tex]
So, we have:
[tex]A + B =126[/tex]
[tex]B + D = 141[/tex]
[tex]D + E = 150[/tex]
We have: [tex]D , E > C[/tex]
i.e.
[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]
For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,
[tex]D = E = 75[/tex]
i.e.
[tex]75 + 75 = 150[/tex]
So, we have:
[tex]D = 75[/tex]
[tex]E = 75[/tex]
[tex]B + D = 141[/tex]
[tex]B + 75 = 141[/tex]
[tex]B = 141 - 75[/tex]
[tex]B = 66[/tex]
[tex]A + B =126[/tex]
[tex]A + 66 = 126[/tex]
[tex]A = 126 - 66[/tex]
[tex]A = 60[/tex]
Leta has $45 in her account in May. How much money does she have in her account in August
click on picture to see
Answer:
try letter B
Step-by-step explanation:
and can you be my friend
Answer:
Step-by-step explanation:
C the quotient would be N/12 not 12/N
brainliest for answer good trade
Answer:
9/22
Step-by-step explanation:
= 1 /2 − 1 /11
= 1 /2 + −1 /11
= 11 /22 + −2 /22
= 11+−2 /22
= 9 /22
(Decimal: 0.409091)
Answer:
9/22
Step-by-step explanation:
multiply 1 by 11, and get 11
multiply 1 by 2, and get 2.
Next we give both terms new denominators -- 2 × 11 = 22
11 − 2 = 9
Is the equation a linear function?
y = -x + 3
Answer:
x=3
Step-by-step explanation:
y=-x+3
0=-x+3
x=3
A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
what is the value of the expression ? 11.263 ÷ 11.21
Answer:
1.004728
Step-by-step explanation:
Mark as brainllest
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 600
Step-by-step explanation:
15*8*5=600
v=w*h*l
the circumference of a garden is 91.06 feet. what is the diameter of the garden?
Answer:
radius = 14.5 feet
Step-by-step explanation:
91.06 / 3.14 = diameter = 29
radius = 29/2 = 14.5 feet
Simplify.
4^3•4^-6
A. 1/4^3
B. 1/4^9
C. 1/4^18
D. 4^3
Answer:
A
Step-by-step explanation:
This can be rearranged as 4^3 * 1/(4^6)
or (4^3)/(4^6)
This can be changed to:
(4^3)/((4^3)*(4^3)
Which is equal to 1/(4^3)
or
4^(-3)
PLEASE HELP I DONT KNOW
Answer:
28 in.
Step-by-step explanation:
Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)
The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.
a. Identify the subjects.
b. Explanatory variables
c. Treatments
d. Response variable
Answer:
Subject : Tomato plant
Explanatory variables : Watering condition ; Fertilizer addition
Treatment : daily watering ; half fertilizer ; full fertilizer
Response variable = Number of tomato picked
Step-by-step explanation:
Subjects are the individuals, animals or plants upon which treatment is applied. The subject here are the tomato plants
The Explanatory variables are the independent variables upon which we want base the variation of the dependent variable. The Independent variables are the watering condition a d the amount of fertilizer added.
Treatment : These are the actual changes made or applied on the subject, they include, daily watering, full or half fertilizer application.
Response variable : The number of tomatoes picked. This is also called the dependent variable, it is the outcome which may be due to the effect of the independent variable.
Find the value of x.
B
X+2
3
E
2
X
С
A
x = [?]
Answer:
answer is given in up paper. where ans is -1/2
HELP ASAP!! jjwjwhwjabagajsbs
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
there's a width of 8 in., a length of 20 in., and a height of 12 in.
a) what is the longest poster you could fit in the box? express your answer to the nearest tenth of an inch.
b) explain why you can fit only one maximum-length poster in the box, but you can fit multiple 21.5-inch posters in the same box.
Answer:
a.
Approximately [tex]24.7\; \rm in[/tex].
b.
While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.
For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.
It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.
This argument does not apply to [tex]21.5\; \rm in[/tex] posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.
Step-by-step explanation:
The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.
Apply the Pythagorean theorem twice to find the length of that diagonal.
Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width [tex]8\; \rm in[/tex] and length [tex]10\; \rm in[/tex]. The length of its diagonal would be [tex]\sqrt{8^2 + 10^2}[/tex] inches.
Combine that with the height of this box to find the length of the diagonal of this box.
[tex]\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2 \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}[/tex].
what value do you give rif the
In the monthly payment formula M =
Pr(1 + r)"
(1 + r)" - 1
interest rate is 8.9%?
A. 0.74
B. 0.74
C. 0.0074
D. 0.0089
Answer:
c
Step-by-step explanation:
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The monthly rate of interest is 0.0074. Therefore, option C is the correct answer.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
The given rate of interest is 8.9%.
The monthly payment formula is M = Pr(1+ r)ⁿ/(1+ r)ⁿ - 1
Here, rate of interest
= 8.9%/12
= 0.089/12
= 0.0074
Therefore, option C is the correct answer.
To learn more about the rate of interest visit:
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y = 3x + 5
2y = 4x + 24
Step-by-step explanation:
what do you need explain graphing them
Between which x-values and y-values does the cluster lie?
Answer:
Here is the picture
Step-by-step explanation:
The number lies between x-values 4 and 6 and y-values 6 and 9.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.
We need to find the range of x and y values for this scatter plot.
The x values of the 14 points are given as;
2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5
The y values of the 14 points are given as;
5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4
We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.
Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.
To learn more about the coordinates;
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The complete question is
Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.
William went to play basketball. He wondered what the area of
the court was. He measured the length and width and found
that they were 28m and 15 m respectively. What is the area of
the court in cm"?
Plz help me well mark brainliest if correct.........?
Answer:
The answer is B
Step-by-step explanation:
8 times 12 = 96
2L + 2W = 40
2(8) + 2(12) = 40
because
16 + 24 = 40
Hope this helps!
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?
Answer:
It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Step-by-step explanation:
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]
Learn more about compound interest here:
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I really hope you guys will help me
Answer:
I think its
ai. fx-f3
ii. 5gx
anybody idc helpi need help with math find the surface area of the above solid
Answer:
a
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?
Answer:
yes, it is right triangle
Step-by-step explanation:
to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.
next, the angle between 12 and 5 must be 90 to prove that it was right triangle
to prove that, let's use cosinus theorem
[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]
from that, we know it is a right triangle
Degree and Radian Measures
What is the radian equivalent of 90°?
a. π/4
b. π/3
c. π/2
d. π/5
Please select the the best answer from the choices provided
Answer:
C. π/2
Step-by-step explanation:
I calculated it logically
What is the mean ? 50, 55, 58, 58, 90, 92, 99
sum of observations
mean =..........................no. of observations
50+55+58+90+58+92+99 502
....................................... = .........= 71.77 7
awnser is 71.7
hope this helpedHELP PLEASE!
Trish is shopping for a new vacuum online. The
reviews for the vacuum she wants show that 104
people gave the product 5-stars. If this number
represents 65% of the reviews left for the product,
how many total reviews were left for the product?
67.6
77
160
184
Answer: 160
Step-by-step explanation:
Based on the information given in the question, let the total reviews left for the product be represented by x.
Therefore, 65% of x = 104
65% × x = 104
0.65 × x = 104
0.65x = 104
x = 104/0.65
x = 160
Therefore, 160 reviews were left for the product.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
I’m need the answer pls
Answer:
B. 16 students
Step-by-step explanation:
Just count all of the dots.
Hope this helps
Brainliest would be appreciated
Answer:b
Step-by-step explanation: well 7+5+3+1= 16