Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x = [tex]\frac{66}{3}[/tex] = 22
The first term of the sequence is 22
Jill reads 6 books per month. The number of books varies directly with the
number of months. How many books does Jill read in a year?
what would the solution be?
Answer:
C.) y = 9
Step-by-step explanation:
Simply substitute in -2 for x.
y = -4(-2) + 1
y = 8 + 1
y = 9
Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .
What is x?
Enter your answer in the box
PLEASE HELP I APPRECIATE IT
Answer:
x = 2
Step-by-step explanation:
Vertical angles are equal to each other. It means that,
∠A = ∠B
So,
20x+10 = 30x−10
Taking like terms together, we get :
20x-30x=-10-10
-10x=-20
x=2
So, the value of x is 2.
the triangular prism below has equilateral bases with sides of 4 in and a height of 4.5 in and rectangular sides measuring by 4 in by 7in what is the lateral surface area of the prism?
Answer:
quite not sure
Step-by-step explanation:
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
What is the value of n?
Answer:
A. 95°Step-by-step explanation:
see attached
PLZ HELP I WILL MARK BRAINLEST!
Answer:
5
Step-by-step explanation:
80 is at the top and 40 takes half of the bottom so the other half is 40.
15/120 = 0.125 so...
40x0.125 will be your answer.
You get 5.
Find the equation of the horizontal line that contains the point (−9,3).
Answer:
y=3
Step-by-step explanation:
m=0
Point given is (-9,3)
Subtract these values into Y - Y1 =m (x -x1) and rewriting the results in equation in point slope form given
Y-3=0(x-(-9))
Y-3=0
Y=3
3. In a perspective drawing, the ratio of the distance from the vanishing point to the height
of a tree is 25/7.Write a proportion that could be used to calculate the height of a tree
that is drawn 60 centimeters from the vanishing point. Use your proportion to find the
height of that tree in the drawing.
Proportion:
Height:
4.In a perspective drawing, the ratio of the height of a stop sign to the distance from the vanishing point is 4/15.Explain how to find the distance from the vanishing point to place a stop sign that is drawn with a height of 6 inches.
Please help,I need to finish this missing assignment or I won’t get my phone back.
Answer:
if it helps try dividing those two numbers so like 25/7
X=
x =
A. 6 2/3
B. 9
C. 12
Answer:
B). x=9
Step-by-step explanation:
4 x (5 + 4) =3 ×(x + 3)
36=3x+9
3x=27
x=9
Graph x<2. I will give yall 20 points :)
Answer:
a????
Step-by-step explanation:
sorry if I'm wrong might be b
Answer:
D
Step-by-step explanation:
It is x<2 which means x can not be 2, so it is a dotted line, then x is anything less than 2, so it is shaded to the left.
Mia has a large bag of sweets. if she shares the sweets equally among 2,3,4,5 or 6 people there will always be one sweet left over. what is the smallest number of sweets there could be in the bag?
Answer:
4
Step-by-step explanation:
Ali bought 16 packs of cola each pack had 6 cans he drank 9 cans how many left?
Answer:
87
Step-by-step explanation:
16 × 6 = 96 cans
96 - 9 = 87
Answer:
87
Step-by-step explanation:
Determina el valor de la expresión:
4 + 3 [4 – 26 – 3)] ÷ 2
Answer:
-33.5, -71/2, or 35 1/2 they are all the same
Step-by-step explanation:
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?
Answer:
250
Step-by-step explanation:
You do 20/.08 to get 250.
Answer:
2.5
Step-by-step explanation:20/8=2.5
a phone company advertises a new plan in which the customer pays a fixed amount of $25 per month for unlimited calls in the country and $0.10 per minute for international calls. if a costumer uses 65 international minutes, how much do they owe?
Answer:
$31.50
Step-by-step explanation:
To solve this problem, create the equation
y = 0.10x + 25
Where x is equal to the number of international minutes and y is equaled to the total price paid. Since we are give the number of international minutes (the x), plug this into the equation and solve for y.
y = 0.10(65) + 25
y = 6.5 + 25
y = 31.5 or $31.50
ab-a-b+1
I know it splits into a(b-1)-1(b-1) but can someone explain in words how it becomes (a-1)(b-1) thanks
Answer:
ab - a - b + 1 = (a - 1)(b - 1)
Step-by-step explanation:
Let us explain factorization by grouping
In the expression of 4 terms ax + by + bx + ay
Take every two terms have a common factor in a bracket
(ax + ay) + (bx + by)Take the common factor out of the brackets
a(x + y) + b(x + y)Take the bracket as a common factor
(x + y)(a + b)Let us do these steps with our question
∵ ab - a - b + 1 is an expression of 4 terms
→ Take ab and a in a bracket, -b and 1 in another bracket
∴ ab - a - b + 1 = (ab - a) + (-b + 1)
→ Take a as a common factor from the 1st bracket and -1 from
the 2nd bracket
∴ (ab - a) + (-b + 1) = a(b -1) + -1(b - 1)
→ Take the bracket (b - 1) as a common factor
∴ a(b -1) + -1(b - 1) = (b - 1)(a + -1)
∵ (+)(-) = (-)
∴ (b - 1)(a + -1) = (b - 1)(a -1)
→ Change the order of the bracket
∴ (b - 1)(a -1) = (a - 1)(b - 1)
∴ ab - a - b + 1 = (a - 1)(b - 1)
To what subset(s) of the real numbers does the
number - 0.45 belong? Explain your answer.
Answer:
Integers, and rational, I know this because -0.45 is a negative number and because rational numbers include all categories.
Step-by-step explanation:
Use the figure below to solve for X.
x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.
Which option is an example of a survey?
A collecting data on pulse rate of a group of people
B. Flipping a coin 100 times and counting the number of heads
C. Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day
D. Having a randomly selected group of students take a penci-and paper test and comparing the results with another randomly selected group of students who took the same test on the Computer
Answer:
C
Step-by-step explanation:
You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.
Simplify i31.
1
−1
i
−i
Answer:
D. -i
Step-by-step explanation:
I took the quiz and got a 100%
The required value of the complex number [tex]i^{31}[/tex] = -i.
Given that,
To determine the value of complex numbers [tex]i^{31}[/tex].
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is a complex number?The number that are constitute of real and imaginary numbers are called complex number. complex number can be represents as z = a+ ib ,where a = real part and bi = imaginary part.
Here,
[tex]i^4 = 1[/tex] and [tex]i^3 = -i[/tex]
For complex numbers [tex]i^{31}[/tex]
[tex]=i^{31}\\=(i^4)^7.i^3\\=1.-i\\=-i[/tex]
Thus, the required value of the complex number [tex]i^{31}[/tex] = -i.
Learn more about complex numbers here: https://brainly.com/question/28007020
#SPJ5
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
Answer:
x= -5
Step-by-step explanation:
3(5x+10)+10=6x-(x+10)
15x+30+10=6x-x-10
15x+40=5x-10
15x-5x=-10-40
10x=-50
x=-5
Answer:
x= -5
Step-by-step explanation:
trustttt mannn
please hurry I need this fast
Answer:
option #2
Step-by-step explanation:
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12
Answer:
8 b mod 12 is equal to 4.
Step-by-step explanation:
Use Dividend = Divisor × Quotient + Remainder
As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)
[tex]b=12k+5[/tex]
Here, k is any integer.
Multiply both sides of [tex]b=12k+5[/tex] by 8
[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]
write 40 in terms of 12
[tex]40=36+4=12(3)+4[/tex]
[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]
Therefore,
8 b mod 12 is equal to 4.
The 3 in the 73.084 _ times the 3 in 65.732.
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
Lily paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
Step-by-step explanation:
18.60$
I believe is your answer ...
tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?
Answer: 1,080 dollars
Step-by-step explanation: Start with your initial value of $1,166.40 then subtract $86.40 to get $1,080.
Determine the quotient of 2 over 5 divided by 3 over 4.
I NEED HELP ASAP
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)
keep change flip
2*4=8
5*3=15
8/15
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] (convert division to multiplication by inverting the second fraction)
= [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex] (combine fractions by multiplying numerator with numerator and denominator by denominator)
= [tex]\frac{(2)(4)}{(5)(3)}[/tex]
= [tex]\frac{8}{15}[/tex]
What is the value of 12 Superscript 0?
Answer:
It's 1
Step-by-step explanation: