A variable is a letter that represents another number or thing.
Steps to solve:
3x + 6 - x + 82 = 44
~Combine like terms
2x + 88 = 44
~Subtract 88 to both sides
2x = -44
~Divide 2 to both sides
x = -22
Best of Luck!
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the common difference is -2 .
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
What percent is represented by the shaded area?
Answer:
1.91%
Step-by-step explanation:
Jillian said √25 is irrational because it is a square root. Why is she wrong
Answer:
She is wrong because the answer is 5 and that is rational
Step-by-step explanation:
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 150lb and each box of books weighs 40lb. The maximum capacity of the elevator is 1140lb. How many boxes of books can the delivery person bring up at one time?
Answer:
24
Step-by-step explanation:
The delivery person can take 24 boxes of books up the elevator at one time. This was my process:
(1140-150) / 40
990 / 40
24.75
But you cannot have three quarters of a box so the final answer would be 24.
How many signs can be made from a piece of
sheet metal that is 4 feet long and 8 feet wide?
How many seconds are in 4.98 minutes? Round your answer to the nearest tenth (to one decimal point)
Answer: 298.8 seconds
Step-by-step explanation: 4.98*60=298.8
Answer:
298.8
Step-by-step explanation:
4.98x60=298.8 so you have been understand
Multiply the polynomials. (x2 – 4) (x2 + 3x – 5)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]
Use distributive property
[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]
Hope I helped!
Best regards! :D
Please Help!! Will mark brainiest!!
1 and 2 are examples but I still need help , I don’t understand n this is due today
Answer:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. ... However, numbers like √2 are irrational because it is impossible to express √2 as a ratio of two integers.
The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … Here are the square roots of all the perfect squares from 1 to 100. 1.
help please thank you
Answer:
a) n/4 - 8
Step-by-step explanation:
A quotient is an answer to a division equation, in this case, is n/4
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.
Answer:
Step-by-step explanation:
the answer is 25 not 5
The numeric value of x will be 25 for the given line segment.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line segment AC
AC = AB + BC
Given,
AB = 2x + 10, BC = x, and AC = 5x,
So,
5x = 2x + 10 + x
5x = 3x + 10
2x = 10
x = 5
So,
AC = 5x
AC = 5(5) = 25 units.
Hence, The numeric value of x will be 25 for the given line segment.
For more about line segment
https://brainly.com/question/25727583
#SPJ2
Riley is playing a game that requires rolling a number cube 1-6 ans spinning a spinner with 3 consonants and 1 vowel. The sections of the spinner are all the same size. What is the probability that Riley rolls a number less than 3 and lands on a consonants. 1. 1/12 2. 3/8 3. 1/8 4. 1/8 Answer now to get 10 points!!!
Work Shown:
The outcomes of the cube are {1,2,3,4,5,6}. The outcomes less than 3 are {1,2}. We have 2 outcomes we want out of 6 total, so the probability of getting an outcome less than 3 is 2/6 = 1/3.
The probability of landing on a consonant is 3/4 because there are 3 consonants and 3+1 = 4 letters total
Multiply the two probabilities: (1/3)*(3/4) = (1*3)/(3*4) = 1/4
The probability of getting a dice roll less than 3, and getting a consonant on the spinner, is 1/4.
Using it's concept, it is found that the probability that Riley rolls a number less than 3 and lands on a consonants is given by: [tex]\frac{1}{4}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the number cube, 2 out of the 6 numbers are less than 3, hence P(A) = 2/6 = 1/3.For the spinner, 3 out of the 4 sections are consonants, hence P(B) = 3/4.The events are independent, hence the probability of both is given by:
P(A and B) = P(A) x P(B) = 1/3 x 3/4 = 1/4.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
which of the following is the solution to the equation
Which of the following transformations will not produce a congruent image?
A.
rotation
B.
translation
C.
dilation
D.
reflection
Answer:
Translation, rotation and reflection
Step-by-step explanation:
please brainliest <3
The tempature at 5pm is 20°F. The tempature at 10pm is -5°F. How many degrees did the tempature fall?
Answer:
25 degrees
Step-by-step explanation:
20 - (-5)
negatives cancel out
20+5 = 25
:D
zelly works 30 hours a week at a food market for $8.50 an hour she takes home $7.65 an hour after deductions. what is her rate for deductions? use an equation to model the problem and solve it. use r to represent the rate for her deductions.
Answer:
Her deduction is 10%, or 0.85
Step-by-step explanation:
Which set of ordered pairs represents y as a function of X?
A {(1,5), (3, 1), (2,7), (1,8)}
B {(8,2), (4,3), (7,2), (8, 6)}
C {(6,3), (3, 5), (2,5), (9,6)}
D {(4,7), (4, 6), (4,4), (4,1)}
Answer:
C
because any of the x-coordinates are repeated than its not a function..
What value of x would result in the numerical value of zero in the expression 7+x+(−10) ?
Answer:
3
Step-by-step explanation:
7 plus three is 10, adding -10 to that equals zero.
The value of x would result in the numerical value of zero in the expression 7+x+(−10) is 3.
Based on the information given, we simply have to find the value of x. Therefore, the value of x from the equation will be:
7 + x + (-10) = 0
Collect like terms
x = 10 - 7
x = 3
Therefore, the value of x would result in the numerical value of zero in the expression 7+x+(−10) will be 3.
Read related link on:
https://brainly.com/question/17345592
Solve the following equation 2/3x+6=1/2x+1/4x
Answer:
x = -72/17
Step-by-step explanation:
(2/3)*x+(1/2)*x+(1/4)*x+6 = 0
17/12*x+6 = 0 // - 6
17/12*x = -6 // : 17/12
x = -6/17/12
x = -72/17
x = -72/17
What is the opposite and absolute value of -7?
Answer:
The opposite and absolute of -7 is 7
Step-by-step explanation:
-7 is 7 digits away from 0
Point H is on line segment G I ‾ GI . Given G H = 12 GH=12 and G I = 17 , GI=17, determine the length H I ‾ . HI
Answer:
HI = 5 units
Step-by-step explanation:
We are given that:
Line segment GI has a point H on it such that the dimensions are given as:
GH = 12 units
GI = 17 units
To find:
Length of HI = ?
Solution:
As we are given that GI is a line segment that means GI is a straight line.
H is a point that lies on GI.
Kindly refer to the attached image for the given dimensions and given line.
Property of a straight line states that:
If there is a point that lies on the straight line segment that will divide the line in two parts such that the sum of length of two parts will be equal to the length of the line segment.
i.e.
GI = GH + HI
17 = 12 + HI
HI = 17 - 12 = 5 units
Which expression is equivalent to 5(x - 7)?
Answer:
5x - 35
Step-by-step explanation:
Apply the distributive property. That means to multiply the number on the outside of the perenthesis with each of the numbers inside the perenthesis.
Please help me solve this thanks
Answer:
A
Step-by-step explanation:
let r represent rate and d distance.
Given that r varies directly as d² then the equation relating them is
r = kd² ← k is the constant of variation
To find k use the condition r = 4 when d = 15, then
4 = k × 15² = 225k ( divide both sides by 225 )
k = [tex]\frac{4}{225}[/tex]
r = [tex]\frac{4}{225}[/tex] d² ← equation of variation
When r = 9, then
9 = [tex]\frac{4}{225}[/tex]d² ( multiply both sides by 225 )
2025 = 4d² ( divide both sides by 4 )
506.25 = d² ( take the square root of both sides )
d = [tex]\sqrt{506.25}[/tex] = 22.5 = 22 [tex]\frac{1}{2}[/tex] → A
Which function describes this table of values?
Answer:
y = 4/5x
Step-by-step explanation:
We know it's not y = x - 2 because if you plug x into the equation, it works for the first one, but not the second one. Ex: 10 - 2 = 8 but 5 - 2 = 3 not 4.
We also know that it can't be y = -5/4x because if you plug x into that equation, it does not equal y.
y = 4/5x because when you plug x into the equation it works.
TLDR basically you just plug x into the equations.
At midnight, the temperature was 15°C. Over the next six hours, the temperature dropped 3 degrees each hour. By noon, the temperature increased 12 degrees. A. What was the temperature at 6 a.m.? B. Then what was the temperature at noon?
Answer:
a)3C b)27C
Step-by-step explanation:
a) 6hours*3degrees=18 degrees
15-18=3C
b)15+12=27C
The quotient of 24 and x equals 14 minus 2 times x
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
[tex]\frac{24}{x}[/tex] = 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Whats 855000 in scientific notation?
Answer:
8.55x10^5 in scientific notation
Answer:
8.55 × 10^5
Step-by-step explanation:
855000 = 855 × 10³
8.55 × 10² × 10³
8.55 × 10²+³
8.55 × 10^5
Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent. What should the selling price for the house be to the nearest dollar?
Answer:
The selling price of the house is $144,681
Step-by-step explanation:
The computation of the selling price of the house is shown below:
Let us assume the selling price be x
So, the commission would be 0.06x
Now the danny would received
= x - 0.06x
= 0.94x
And, the amount received is $136,000
So equate this value
Like this
0.94x = $136,000
x = [tex]\frac{\$134,000}{0.94}[/tex]
= $144,681
Hence, the selling price of the house is $144,681
URGENT: how many integers have an absolute value less than 10π
Answer:
Step-by-step explanation:
Let's calculate 10 pi.
1 pi is about 3.14.
10 pi should be about 31.4.
-31 to -1 is 31 integers.
1 to 31 is 31 more integers.
0 is 1 integer.
31 + 31 = 62
62 + 1 = 63
Hope this helped!
I'm sorry if I misunderstood.
Please mark Brainliest so others can see.
Good luck and try your best everyday :) !
WILL GIVE BRANLIEST ANSWER ASAP
Find the intersection of the two sets.
{2,3,4,5,7} n{2,4, 6, 8, 10}
{2,4, 10)
{2,4}
{2,3,4,5,6,7,8, 10)
Answer:
{2, 4}
Step-by-step explanation:
Intersection of given sets would be {2,4}.
Answer:
C) {2,4}
Step-by-step explanation:
C) {2,4}
The union would be all of them. The intersection are the ones they have in common.