2x + 3y = r
---Subtract 2x from both sides
3y = r - 2x
---Divide both sides by 3
y = (1/3)(r) - (2/3)(x)
Hope this helps!! :)
Compose an expression that can model the first three terms of any arithmetic sequence in terms of just a and d. Type your answers in the most simplified form.
Answer:
First term: a
Second term: a+d
Third term:a+2d
Step-by-step explanation:
An expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.
What is an arithmetic sequence?An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 8, 13, 18, and 23 is 5. An arithmetic progression is another name for an arithmetic sequence.
How to solve this problem?Let the a be the initial term of a sequence and d be the common difference, then the nth term of any arithmetic sequence can be written as aₙ = a + (n - 1)d.
If we want first three terms of any arithmetic sequence, then we have to put n = 1, 2, 3 in the above expression.
So, for n = 1, a₁ = a + (1 - 1)d = a + 0d = a
for n = 2, a₂ = a + (2 - 1)d = a + d
for n = 3, a₃ = a + (3 - 1)d = a + 2d
Therefore, an expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.
Learn more about arithmetic sequences here -
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35POINTS PLZ HELP FAST
What is the volume of a cone with a radius of 4 in and a height of 1 ft?
50.24 cubic in
603.19 cubic in
16.7 cubic in
200.96 cubic in
Answer:
Step-by-step explanation:
16.76FT^3
what's the slope of (5,9); (8,0)
Answer:
The slope is -3.
Step-by-step explanation:
To find the slope, you need to plug in the values of x and y into the slope formula.
y2 - y1/ x2 - x1
0 - 9 / 8 -5
-9/3
= -3
Please help almost finisHHHH
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Which of the following is a correct interpretation of the expression - 6 + 9?
Answer:
It’s basically 3.
Step-by-step explanation:
Just subtract 9 - 6 which gets you a 3 since there’s a negative sign.
What is the value of x in the diagram?
Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.
Answer:
7.25h=348
Step-by-step explanation:
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
Please him me with this
Answer:
x=3
Step-by-step explanation:
To do this we need to do
10-4=6
Then we do
6/2=3
x=3
4 = 4 ( x + 10 ) solve for x
Answer:
x = -9
Step-by-step explanation:
mark helpfull give 5str and award brainliest
Answer:
x = -9
Step-by-step explanation:
4 = 4(x + 10)
=> 4/4 = x + 10
=> 1 = x + 10
=> x + 10 = 1
=> x = 1 - 10
=> x = -9
Scott took 77 math tests in one semester. His scores on the tests were: 89 ,73 ,84 ,91 ,87 ,77 ,94
What was his mean test score?
Answer:
85
Step-by-step explanation:
Scott took 7* math tests in one semester. His scores were 89 , 73 , 84 , 91 , 87 , 77 , 94.
Find the mean. To solve for the mean, add all the scores together, and divide by the amount of tests he took:
(89 + 73 + 84 + 91 + 87 + 77 + 94)/7
(595)/7 = 85
Scott's mean test score is 85.
~
Answer:
85
Step-by-step explanation:
1. Add up all the numbers
=595
2. Dvivde it by how many numbers their are.
=7
3. Divide
595/7
=85
Use Trig to Solve this...If you dont know how to use trig in right triangles then DONT answer.
Answer:
3445!
Step-by-step explanation:
hI swear i rember tis question!
Shellac O'Lean, a freshman on your school's football team, is 6 ft tall and weighs 140 lb. Since he would rather play basketball, he plans to grow to 7 ft 1 in., the same height as Shaquille O'Neal, his idol. If Shellac scales geometrically as he grows, how much can he expect to weigh? (O'Neal weighs 325 lb. Round your answer to the nearest whole number.)
Answer:
At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb
Step-by-step explanation:
The relationship between the heights and the weights of the freshman are presented as follows;
The weight of the freshman at 6 ft. = 140 lb
The height to which he plans to grow = 7 ft. 1 in.
Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant
Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;
[tex]\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}[/tex]
6 ft. = 72 in.
7 ft. 1 in. = 85 in.
Therefore, we get;
[tex]\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}[/tex]
[tex]y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs[/tex]
Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.
Help please!! Seven values on the number line above are marked with letters. Match the opposites.
Answer: A
Step-by-step explanation: W is the opposite of Y, and X is the opposite of Z
help on this please,
Answer: (3) 11
ur welcome
Step-by-step explanation:
A jar contains only pennies, nickels, dimes, and quarters. There are 29
pennies, 14 dimes, and 20 quarters. The rest of the coins are nickels. There are 88 coins in all
How many of the coins are not nickels? If n represents the number of nickels in the jar, what
equation could you use to find n?
Answer:
addition I think addition or division
HELPPPP FASTTTTTT no links or bad answers.
Answer:
The first answer is Surface Area and the second answer is Volume.
Step-by-step explanation:
Remember that Surface Area is the sum of ALL surfaces on a 3D shape. Volume is the amount of space of a three dimensional figure, which is measured in cubic units.
My Explanation:
The first one is surface area because the cube is a 3D shape and it is measured by 5in. The second one is volume because it has three dimensions: 15 inches by 12 inches by 3 inches and it is measured in cubic units.
I hope this answers your question! :)
Answer: Surface area, Volume
Step-by-step explanation:
Enrique has a recipe for fruit punch that uses 12 cups of pineapple juice. He wants triple the recipe for a family party. How many quarts of pineapple juice died Enrique need for the party?
A. 9
B.10
C.36
D.4
Answer:
A. 9 quarts
Step-by-step explanation:
Since he wants to triple the recipe you would multiply the 12 cups by 3 to get 36 cups and then you would convert the cups into quarts and 36 cups is equal to 9 quarts
8 hoodies for $188.88 _______Each hoodie
Answer:
$23.61
per hoodie
Step-by-step explanation:
$188.88 divided by 8 = $23.61
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEE PLSSSS
Answer:
d. 2x+3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLS ANSWER ASAP!
Johnny has a motorcycle that can travel 7 mph every minute show a graph and table for 1,2, and 3 minutes
Answer:
i cant give a graph but i can give you a slope formula (although theres no set y intercept so \/
. y=7x
Step-by-step explanation:
rise over run is 7/1(means go up 7 and right 1 then place the point), you put time along the x and amount along the y
A seventh grade student chooses a random sample of 50 out of 400 students. He finds that 7 students have traveled outside the United States. The students claim that over 50 of the 400 students have likely traveled outside the United States. Is the student correct? Explain.
Answer:
Yes.
Step-by-step explanation:
Since he only sampled 50/400, 50 of 400 is 1/8.
7x8=56.
please help i will help you
Plz help me i will give barinless im not lying plz help
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
7 x 3/4 = 21/4 = 5 - 1/4 ft
Which of the equations or inequalities below are true?
9 - 6 = 3
-9 + 6 > 0
-9 + 6 = 3
-9 + 6 < 0
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
Divide. Write your answer in simplest form.
7/10 divided by 5/16
Answer:
[tex]\frac{56}{25}[/tex]
Step-by-step explanation:
Exact Form:
[tex]\frac{56}{25}[/tex]
Decimal Form:
2.24
Mixed Number Form:
[tex]2\frac{6}{25}[/tex]
______________________
Give Me Brainllest
A radio station had 228 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
a. 6
b.5
c.38
d.43
plz explain i don't get it
What is the Mean, Median, Mode, and Range for number 3
Please help
Answer:
Mean: 49
Median: 41
Mode: 45
Range: 70
Step-by-step explanation:
To find the mean: add up all the numbers, then divide by how many numbers there are.
To find the median:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode: The mode of a data set is the number that occurs most frequently in the set.
To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
Find the area of each sector. Use exact answers
Answer:
A) 30π mi²
Step-by-step explanation:
area of full circle = πr² = (3.14)(6²) = 113.04 mi²
area of 5π/3 segment = (113.04)(5π/3)/2π) = 94.2 mi² = 30π mi²