Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
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...
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:
Use the triangle below to fill in the blanks.
Answer:
length of the opposite leg divided by the hypotenuse
Step-by-step explanation:
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
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.
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.
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
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
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.
multiples of 7 between 30 and 50
Answer:
It is 35, 42, 49
7x5=35
7×6=42
7²=49
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:
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:
Solve for q.
14 = 3q + 8
q =
Answer:
q = 2
Step-by-step explanation:
Move all terms that don't contain q to the right side and solve.
Answer:
q=2
Step-by-step explanation:
please help asap…………
Answer: linear
Step-by-step explanation:
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
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 = -2Solve.
−19 = −0.5k
K=
Answer:
38
Step-by-step explanation:
k= - 19 / - 0.5= -19*-2=38
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.
simply the ratio 3:9
Answer:
1:3
Step-by-step explanation:
The ratio 3:9
3/9=1/3
=1:3
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
Could someone help answer number 1 please
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:
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:
x+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
please help me its easy
Answer: 31.6
Step-by-step explanation:
Solve the inequality
8(x/4-6)>4
Answer:
[tex]8( \frac{x}{4} - 6) > 4[/tex]
[tex] \frac{8x}{4} - 48 > 4[/tex]
[tex]2x - 48 > 4[/tex]
[tex]2x > 4 + 48[/tex]
[tex]2x > 52[/tex]
[tex]x > \frac{52}{2} [/tex]
[tex]x > 26[/tex]
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
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