Answer:
w= -44
Step-by-step explanation:
The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arithmetic sequence?
Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
d = 4
Step-by-step explanation:
a₁ = -2
a₈ = aₙ = 26
n = 8
aₙ = a₁ + d(n-1)
d = aₙ - a₁ / (n-1)
d = 26 -(-2) / (8-1)
d = 26 + 2 / 7
d = 28 / 7
d = 4
-2
-2 + 4 = 2
2 + 4 = 6
6 + 4 = 10
10 + 4 = 14
14 + 4 = 18
18 + 4 = 22
22 + 4 = 26
Can y’all help me my time is almost over I need this ASAP and I’ll give brainliest
Answer:
Based on the question. D, would make the most sense.
Two cars, which are 210 miles apart, drive towards
each other at constant speeds. The speed of the
second car is 20 miles per hour faster than the first car.The cars pass each other in 1 1/2 hours. What is the speed of both cars?
Answer:
slower car=60 miles/hr
faster car =80 miles/hr
Step-by-step explanation:
the speed of slower car =x
the speed of faster car=x+20
they both 210 miles apart
(x+x+20)*(1 1/2 )=210
(2x+20)(3/2)=210
3x+30=210
3x=210-30
3x=180
x=180/3 ⇒ x=60
x+20 ⇒ 60+20=80
Please help !!!!!!!!!!!!!
Answer:
with what part of the question be more specific
Which inequality shows a correct relationship? A 0.203 > 0.085 B 0.870 < 0.706 C 0.374 > 3.740 D 0.725
Answer:
The answer is A (0.203 > 0.085)
-(1+7x)-6(-7-x)=36 I don't understand how to do this.
edit: nevermind i multiplied wrong, the other answer is right
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - (1 + 7x) - 6( - 7 - x) = 36}[/tex]
Distribute ( - ) sign through the parentheses
Similarly, distribute -6 through the parentheses
[tex] \dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}[/tex]
Collect like terms
[tex] \dashrightarrow \sf - 7x + 6x - 1 + 42 = 36[/tex]
[tex] \dashrightarrow \: \sf \: - x - 1 + 42 = 36[/tex]
The negative and positive integers are always subtracted but possess the sign of the bigger integer
[tex] \dashrightarrow{ \sf{ - x + 41 = 36}}[/tex]
Move 41 to right hand side and change it's sign
[tex] \dashrightarrow{\sf{- x = 36 - 41}}[/tex]
[tex] \dashrightarrow \sf \: - x = - 5[/tex]
Change the signs on both sides of the equation
[tex] \dashrightarrow \: \sf{x = 5}[/tex]
Hope I helped!
Best regards! :D
Which of the following shows how to Rewrite 8 - 9 using additive inverse
Answer: 1
8-9=-1
-1 additive inverse is 1
What is the value of x in the equation 8x – 2y = 48, when y = 4
Answer:
Seven(7)
Step-by-step explanation:
8x-2y=48
8x-2(4)=48
8x-8=48
8x=48+8
8x=56
Divide both sides by 8
8x/8=56/8
x=7
Zero can be classified as all of the following except which? A. Whole B. Rational C. Integer D. Natural
Answer:
Zero can be classified as a: Whole number, Rational number, and integer.
Step-by-step explanation:
Zero cannot be classified as a natural number because it does not have a positive or negative value.
I hope this helps! Good luck!
Zero is not classified as a D. Natural number
Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:
a whole number and is the smallest one an integer because it is a whole number a rational number because it is an integerThere is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.
Find out more at https://brainly.com/question/14751537.
Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval.
Step-by-step explanation:
hope this answer will help you
x -22 = 30 what is x
Answer:
x=52
Step-by-step explanation:
x=30+22
x=52
Answer:
Move all terms not containing
X
to the right side of the equation.
X = 52
What’s the answer ?
Answer:
24
Step-by-step explanation:
Which describes reproducibility
8X - 17 +5X - 3 = 71
Answer: x=7
Step-by-step explanation:
got it right on edg
Answer:
x = 7
Step-by-step explanation:
8x - 17 + 5x - 3 = +71
13x - 20 = +71
+ 20 = +20
13x = 91
13x/13 = 91/13
x = 7
PLEASE HELP ASAP!!!!
Which statement describes the symmetry of j(x)?
j(x) is an odd function.
j(x) is an even function.
j(x) is both an even and an odd function.
j(x) is neither an even nor an odd function.
Answer:
j(x) is an odd function
Step-by-step explanation:
We are given;
j(x) = 220/x³ and j(-x) = 220/(-x)³
Now,
when x = 1;
j(x) = 220/1³ = 220/1 = 220
j(-x) = 220/(-1)³ = 220/-1 = -220
When x = 2;
j(2) = 220/2³ = 220/8
j(-2) = 220/(-2)³ = -220/8
Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.
From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.
Answer:
A) j(x) is an odd function.
Step-by-step explanation:
If 9^x = 3^( 1-2x), then x =
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
I used a calculator and it's correct!
Plz click the Thanks button!
<Jayla>
Plz help me Much appreciated.
Hurry plzzzzzz !!!!!!!
A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?
Answer: 8 months
Step-by-step explanation:
m= number of months
45m+95=455
minus 95 over
45m=360
divide by 45
m=8
WILL GIVE BRANLIEST ANSWER ASAP
3(x + 7) = 3x + 21 is an example of which property?
Associative Property
Identity Property
Distributive Property
Commutative Property
Answer:
Identity property
Step-by-step explanation:
Simplify 2x(3x-1)+4(1-3x)
Answer:
[tex]6{x}^{2} - 2x + 4 - 12x =6 {x }^{2} - 14x + 4[/tex]
The simplified expression of 2x(3x - 1) + 4(1 - 3x) is 6x² + 4 - 14x
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
2x(3x - 1) + 4(1 - 3x)
When the brackets are opened, we have
2x(3x - 1) + 4(1 - 3x) = 6x² - 2x + 4 - 12x
Evaluate the like terms
so, we have the following representation
2x(3x - 1) + 4(1 - 3x) = 6x² + 4 - 14x
Hence, the simplified expression is 6x² + 4 - 14x
Read more about expression at
https://brainly.com/question/34777630
#SPJ6
Kyra and James each drowa
representation of the relationship between
rotond (A) and irrotond (B) number
shown below
KYRA
JAMES
WALN UMRERS REL NUMBERS
B
B
Whose do you agree with, and why?
Answer:
Kyra is correct.
Step-by-step explanation:
Rational numbers;
All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.
Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....
Irrational numbers:
Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.
Example: 1.234, π, √2
So rational and irrational numbers are two separate things.
But all positive and negative numbers are real numbers.
Real numbers may be rational or irrational both.
Therefore, Kyra's interpretation is correct.
You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts? What is the correct equation and solution for this problem? A. 2 x - $22 = $56; x = $34 B. 2 x + $22 = $56; x = $34 C. 2 x + $22 = $56; x = $17 D. 2 x - $22 = $56; x = $17
Answer:
B. 2x + $22 = $56 ; x = $17
Step-by-step explanation:
Assuming a pair of short is accounted for by the variable x.
Your total cost is $56. This means that your expression will equal 56:
________________ = 56
Next, you buy 1 shirt (denoted by s) for $22.
s = $22
You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:
2 * x = 2x.
Combine the terms and plug it into the equation:
2x + 22 = 56
Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember, PEMDAS is the order of operation, &
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction
First subtract 22 from both sides:
2x + 22 (-22) = 56 (-22)
2x = 56 - 22
2x = 34
Next, divide 2 from both sides:
(2x)/2 = (34)/2
x = 34/2
x = $17
B. 2x + $22 = $56 ; x = $17 is your answer.
~
Answer:
B. 2x + $22 = $56 ; x = $17
Step-by-step explanation:
At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
week 4
Step-by-step explanation:
With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?
======================================================
Work Shown:
F = ma
250 = m*5
250/5 = m
50 = m
m = 50
The mass of the object is 50 kg
Which of the following is a statistical question
A. How many times did you buy school lunch last week?
B. How many days were in last montha
C. Is your favorite number between 0 and 102
D. What is the area of a l-inch x l-inch sticky note
Answer:
its d because who askes that question
if <1 and <2 are supplementary angles, m<1=4x° and m<2=8x° then whats the measures of 1 and 2
Answer:
angle 1 = 60 degrees
angle 2 = 120 degrees
=====================================================
Explanation:
Supplementary angles always add to 180 degrees. In other words, the two angles form a straight line.
(angle1) + (angle2) = 180
4x+8x = 180
12x = 180
12x/12 = 180/12 .... dividing both sides by 12
x = 15
Use this x value to find the two angle measures
angle1 = 4x = 4*15 = 60
angle2 = 8x = 8*15 = 120
As a check, angle1+angle2 = 60+120 = 180, which confirms our answer.
Question one, how do you solve this? "A, B, and C are collinear. Find AC if AB = 12 and BC = 8"
Question two, can anyone solve these two problems i attached? They use Segment Addition and Angle Addition Postulates.
Answer:
20''Step-by-step explanation:
If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC
Given
AB = 12''
BC = 8''
To get length od segment AC, we will substitute the given values into the formula above as shown;
AB+BC = AC
12 + 8 =AC
AC = 12+ 8
AC = 20''
Hence the length of AC is 20''
Your school club has a bake sale to raise money. Your club offers muffins for $.50 each and bagels for $.75 each. In one hour you raise $21 by selling 34 items. How many muffins did you sell?
Answer:
18 muffins
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=34 (1)
0.50x+0.75y=21 (2)
where x is the number of muffins and y is the number of bagels.
First, you can isolate x in (1):
x=34-y (3)
Then, you can replace (3) in (2):
0.50(34-y)+0.75y=21
17-0.5y+0.75y=21
0.25y=21-17
0.25y=4
y=4/0.25
y=16
Now you can replace the value of "y" in (3):
x=34-16
x=18
According to this, the answer is that you sold 18 muffins.
Solve the system by substitution.
- 8x + y = -32
- 3x – 10 = y
(,)
Answer:
[tex]x=2,\:y=-16[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]
[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]
Answer:
x = 2
y = -16
Step-by-step explanation:
Substitute value of y, -3x - 10 in the equation-8x + y = -32
-8x + (-3x - 10) = -32
-8x - 3x - 10 = -32
-11x - 10 = -32
-11x = -32 + 10
-11x = -22
Divide both sides by coefficient of x which is -11
x = 2
Substitute value of x, 2, in the equation-3x - 10 = y
(-3)2 - 10 = y
-6 - 10 = y
y = -16