What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
10, 18, 26, 34, 42, ...
What is the 15th term of this Arithmetic Sequence
Answer:
a₁₅ = 122
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.
For your given sequence:
[tex]10, 18, 26,34,42,...[/tex]
a₁ is 10
n is 15 (15th term)
d is 8 (each term increases by 8 over the last)
Plug those 3 variables in, and solve for a₁₅:
[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]
Solve the absolute inequality: |4x-5| >3
Answer:
x > 2 or x < 1/2
Step-by-step explanation:
|4x - 5| > 3
Case 1 Case 2
4x - 5 > 3 - (4x - 5) > 3
4x > 5 + 3 - 4x + 5 > 3
4x > 8 -4x > - 5 + 3
x > 2 -4 x > - 2
-x > -2/4 multiply by -1 to make "x" positive and
this action with change all signs :
any negative becomes positive and
> becomes <
x < 2/4
x < 1/2
You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?
Answer: $85.56
Step-by-step explanation:
$35.30 +$17.50= $52.80
$52.80+$25 = $77.80
$77.80-$6.99 = $70.81
$70.81+$14.75 = $85.56
What is one solution to the systems of linear equations?
Answer:
Graph 1. (4, 4).
Graph 2. (4, -4).
Step-by-step explanation:
The solution is the point where the lines intersect.
What is the y-intercept of the graph of the equation y =(2x−3)^2+7
Answer:
(0,16)
Step-by-step explanation:
Hi there!
The y intercept is the value in which the parabola passes through the y axis
Therefore, the value of x at the y intercept is 0
So to find the value of the y intercept, substitute x as 0 in the equation.
y=(2x-3)^2 + 7
If x=0, then:
y=(2(0)-3)^2 + 7
Multiply
y=(0-3)^2 + 7
Subtract 3 from 0
y=(-3)^2 + 7
Raise -3 to the second power
y= 9 + 7
Add 9 and 7 together
y = 16
So the y intercept is the point (0,16)
Hope this helps!
Which of the binomials below is a factor of this trinomial?
5x2 + 14x-3
Answer:
The answer is D. x + 3
Step-by-step explanation:
The factors of 5x2 + 14x - 3 are:
(5x-1) and (x+3)
Can someone help me with this? I was wrong and cant figure it out
Answer:
A. 21.
Step-by-step explanation:
4x + 2 = 31 + 55 (external angle of a triangle theorem).
4x + 2 = 86
4x = 86 - 2
4x = 84
x = 84/4 = 21.
SOMEONE PLS HELP ME!!!
Answer:
refer to the picture attached for steps
Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson today, how many days will be till the next date on which she has both swimming and diving lessons?
Answer:
15 days
Step-by-step explanation:
Take LCM of 3 and 5 and u get your answer
(12a-9b+7)+(2a-3b-14)
Answer:
14a - 12b - 7
Step-by-step explanation:
help i really need it :(
Answer:
The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].
Why?
To find the correct answer we have to isolate r from the other numbers. To isolate r from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.
Good luck!
Write the equation in point slope form
Answer:
5<6 so tbh I have no idea what this is I just need point
Please find x and y... I will mark you brainliest
Answer:
x.=6 y=7
Step-by-step explanation:
glad glad I could help
Answer:
x = 6
y = 7
Step-by-step explanation:
Side AB and side DC is equal so let's put it in a equation.
2y - 8 = y - 1
Use APE or Additive Property of Equality\
2y - y = 8 - 1
y = 7
So the value of y is 7.
Now substitute it to line BC.
y + 6
7 + 6
= 13
Since line BC and line AD has equal sides, let's put it in a equation.
2x + 1 = 13
2x = 13 - 1
2x = 12
Use DPE or Division Property of Equality
2x/2 = 12/2
x = 6
Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?
Answer:
Chris has 25 Marbles
Step-by-step explanation:
If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.
Hope this helps!!
A builder is buying boxes of nails. She has $187 to spend and each box of nails costs $4.
Answer:
46 boxes of nails
Step-by-step explanation:
She has $187 to spend, the maximum.
187/4 = 46.75
Since she cannot buy 0.75 of a box of nails, she can only buy 46. So she is left with an extra $3 and buys 46 boxes of nails.
Hope this helps, and please mark me the brainliest! :D
GIVING BRAINLIEST!!!!!!!!
[tex]\red{\bold{Answer:}}[/tex]
The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.
#BrainlyFast
#CarryOnLearning
(≡^∇^≡)
what is P= 100 I/RT a) I=3, R=4 and T=2
Answer:
not sure what that a) means but...
P = 300/8 = 150/4 = 75/2
Answer:
Answer: 19
Step-by-step Explanation:
P=x
x= 3 -(-8)(2)
x = 3 --16
(A negative plus a negative equal a
positive)
x= 19
solve for x, find the measure of all angles.
Answer:
x = 14
angles are 96, 42, 42
Step-by-step explanation:
sum of all angles in a triangle is 180
3x + 3x + 96 = 180
6x + 96 = 180
6x = 180 - 96
6x = 84
x = 14
angles are 96, 3x, 3x
96, 3*14, 3*14
96, 42, 42
Answer:
x=14
Step-by-step explanation:
3x + 3x + 96 = 180º
6x +96º = 180º
6x = 180º - 96º
6x= 84
x = 14
Find the distance between the points
a. 4
b. 5
c. 6
d. 7
Answer:
b. 5
Step-by-step explanation:
Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.
Answer:
All these statements are true. See explanations, below.
Step-by-step explanation:
A Line 4y = -16 is horizontal. TRUE. Note that y = -4 here.
B. Line 3x = 27 is vertical. TRUE. Note that x = 9, which is a vertical line.
C. For both lines, all points on the line have an x- and a y-coordinate. TRUE. But for 4y = -16, the y-coordinate is always the same: -4; for x = 9, the x-coordinate is always the same.
D. For either line, one of the coordinates of all the points is always the same value. TRUE (See C above)
Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
I need help with this equation
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table
m = [tex]\frac{-18-0}{4-(-5)}[/tex] = [tex]\frac{-18}{4+5}[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?
Answer:
49 cents that is the answer
16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16
Answer:
He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation
Step-by-step explanation:
Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.
Answer:
You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.
Step-by-step explanation:
Answer:
she got 5049$ back in profit
Step-by-step explanation:
First count how much numbers are away from 413 to 600 you get 187
Next you Multiply 187 x 27 = 5049$
Q4
The original price of a doll is $36. It is discounted in a sale by 15%.
What is the sale price of the doll?
$
Answer:
The sale price of the doll is $30.6
Step-by-step explanation:
The original price of the doll
= $36
Discount:-
= 15% of 36
= 15%×36
= 15/100×36
= 5.4
Sale price of the doll
= original price - discount
= $(36 - 5.4)
= $30.6
Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16
Answer:
[tex]x<12[/tex]
Step-by-step explanation:
[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]
Option A is correct, x<12 represents the solution set of 5(x+5) <85
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5(x+5) <85
We have to find the solution set of the given inequality
Five times of x plus five less than eight five.
Apply distributive property
5x+25<85
Subtract 25 from both sides
5x<85-25
5x<60
Divide both sides by 5
x<12
Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85
To learn more on Inequality click:
https://brainly.com/question/28823603
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Business Math I need help with fraction word problems.
Answer:
which kind?
Step-by-step explanation: