Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
steve has 18 more dollors than joe. what the algebraic expression that represents the amount of dollors steve has
Answer: s = j + 18
Step-by-step explanation:
Let's say Steve's money can be represented as s, and Joe's money as j. Because Steve has 18 more dollars than Joe, simply add 18 to Joe's money to solve for s.
Hope it helps :) and let me know if you want me to elaborate.
HELP ME ANSWER THIS PLEASE
Answer:
I think it is -162
Step-by-step explanation:
What is the relationship between mass, density and volume? Provide and example that involves calculating population density.
Answer:
Density is directly related to the mass and the volume. In fact, it tells us of the exact relationship between the two. To find an object's density, we take its mass and divide it by its volume. If the mass has a large volume, but a small mass it would be said to have a low density.
Step-by-step explanation:
please help me its easy
Answer: 31.6
Step-by-step explanation:
niomie bakes 24 cookies in 10 minutes. at this rate how many cookies can she bake in 30 minutes
Answer:
She can bake 72 cookies in 30 minutes
Step-by-step explanation:
24 · 3 = 72
The length of each of two sides of a triangle is The third side's length is 15sqrt(2) . Classify the triangle
Answer:
45-45-90 isosceles triangle
Step-by-step explanation:
Easy maths question 20 points and brainliest
Answer:
a = 2; b = 1 and c =3
Step-by-step explanation:
2(q +p) = 1 + 5q
2q + 2p = 1 + 5q
2p = 1 + 3q
2p - 1 = 3q
[tex]\frac{2p -1}{3} = q[/tex]
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2x+3y-xy=3
x^2+y^2+xy=3
Answer:
Y = 1
Step-by-step explanation:
on a graph this would be a circular shape and y= 1
Use the triangle below to fill in the blanks.
Answer:
length of the opposite leg divided by the hypotenuse
Step-by-step explanation:
help me find a please
Answer:
Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
Find the equation of the line that passes through (3,1) and is parallel to y = 3 − 2 x . Leave your answer in the form y = m x + c
Answer:
y=3-2x
Step-by-step explanation:
Parallel to y = 3 − 2 x => y=c-2x
Through (3,1) => 1=c-2(1) <=> c=3
Line is y=3-2x
why is the product of 3/2 and 3/4 greater than 3/4
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
The interest on $2,000 for two years is $320 what is the simple interest rate.
Answer:
$640
Step-by-step explanation:
im actually not too sure. i think thats right
Answer:
320
Step-by-step explanation:
Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!
Step-by-step explanation:
maybe you can try to measure each of the ways maybe and you can get the equation
simply the ratio 3:9
Answer:
1:3
Step-by-step explanation:
The ratio 3:9
3/9=1/3
=1:3
Solve.
−19 = −0.5k
K=
Answer:
38
Step-by-step explanation:
k= - 19 / - 0.5= -19*-2=38
rsm geo lol- no idea how to start or do it at all
Answer:
42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!
Step-by-step explanation:
Using vertical angles theorem, we can get another 42, 180-42, and 180-42.
So we have 42, 138, and 138
There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?
Answer:
210
Step-by-step explanation:
25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.
please help asap…………
Answer: linear
Step-by-step explanation:
the measure of an angle is 6 less than 5 times its complement. what is the complement.
Answer:
90−74=16∘.
Step-by-step explanation:
If x is the measure of the angle, then 90−x is the measure of the complement, both in degrees
Please tell me if it’s a right triangle or not ( ಥ _ ಥ )
6, 7, 8
10,20,30
16,18,82
22,42,60
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
WILL MARK BRAINLIEST AND IS WORTH 100 POINTS
Answer:31
Step-by-step explanation:
x + y = 3
2x + 2y = 6
Answer:
x = Infinite answers.
y = Infinite answers.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
2x + 2y = 6
2x + 2y = 6
=> Therefore, x and y have infinite values that can fit the equation.
Hoped this helped.
multiples of 7 between 30 and 50
Answer:
It is 35, 42, 49
7x5=35
7×6=42
7²=49
how do you convert decimal to fraction
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?