Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
https://brainly.com/question/10724274
50 units needed 12 units per case
Answer:
5 cases
Step-by-step explanation:
Since 12 does not go into 50, you need to buy a whole extra case.
12*4= 48, which is not enough for 50 units
Unit form of 13/5 divided by 4/5l
Answer:
663/20
Step-by-step explanation:
if you want simplist form its 33 3/20 or decimal its 33.15
A parking garage has 6 levels below ground. Each level is the same height.
Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft.
What is the depth of the first level of the parking garage?
Answer:
22.6
Step-by-step explanation:
Level of one ground = Level of last ground ÷ no of levels
- 135.6 \div 6 = 22.6−135.6÷6=22.6
Write an equation of the line that passes through the point (3,3) and is parallel to the line y= -1/2 + 3
Step-by-step explanation:
the slope = -½
the equation :
y-3 = -½(x-3)
y-3 = -½x + 3/2
y = -½x + 3/2 +3
y = -½x + 9/2
What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
The three paths intersect in pairs at the points A, B, and C.
Answer:
Not a complete question... Sorry
1) Convert 0.469 dam to cm.
Given: 3x < 3. Choose the solution set. {x | x < 1} {x | x > 0} {x | x < 0} {x | x > 1}
9514 1404 393
Answer:
(a) {x | x < 1}
Step-by-step explanation:
Given ...
3x < 3
You can find the solution by dividing both sides by 3:
(3x)/3 < 3/3
x < 1
Written in your given notation, this is ...
{x | x < 1}
Simplify: 3!
A) 3
B) 6
C) 1
D) 5
5.1 km/h to mph. Round to the appropriate number of significant digits.
Step-by-step explanation:
Given-
5.1 km/hr
Relation bween mph and km :-
[tex]1 \: mph = 1.609 \: km[/tex]
So,
[tex] \frac{5.1 \: km}{1 \: h} \times \frac{1 \: km}{1.609} = 3.17 \: mph[/tex]
Therefore, the answer is 3.17 mph.
what adds up to -38 but multiplies to -168
Answer:
-42 x 4
Step-by-step explanation:
it multiplies to -168 and adds up to -38
Easy Math please help
Answer:
5, i think
Step-by-step explanation:
1. 3x = 15 and divide all by 3 (the number with a variable or letter
Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.
Answer:
18 cm
Step-by-step explanation:
You can find the length of the diagonal by using the Pythagorean theorem.
a^2 + b^2 = c^2
12^2 + b^2 = c^2
144 + 169 = c^2
c^2 = 313
c = √313
c = 17.6918...
Answer: 18 cm
help meeee again ¾÷⅕ =
Answer:
decimal: 2.25
fraction: 9/4
Step-by-step explanation:
Answer:
Fraction: 15/4
Decimal: 3.75
What is the sum of 3/7 + 1/3
Answer:
16/21
Step-by-step explanation:
1) Find the least common denominator (LCD) of 3/7,1/3. In other words, find the Least Common Multiple (LCM) of 7,3.
LCD=21
2) Make the denominators the same as the LCD
[tex]\frac{3*3}{7*3} +\frac{1*7}{3*7}[/tex]
3) Simplify. Denominators are now the same.
[tex]\frac{9}{21} +\frac{7}{21} \\[/tex]
4) Join the denominators
[tex]\frac{9+7}{21}[/tex]
5) Simplify
[tex]\frac{16}{21}[/tex]
Answer:
[tex]{ \tt{ \frac{3}{7} + \frac{1}{3} }} \\ \\ = { \tt{ \frac{(3 \times 3) + (7 \times 1)}{21} }} \\ \\ = { \tt{ \frac{9 + 7}{21} }} \\ \\ = \: \dashrightarrow \: { \tt{ \frac{16}{21} }}[/tex]
Choose a factor pair of 36.Show how this factor pair can be found in the prime factorization of 36
Answer:
2*2*3*3
Step-by-step explanation:
https://math.answers.com/Q/How_can_you_use_prime...
You have a bag containing 3 red, 7 green, and 6 blue pens. you choose 2 pens at random. find the probability of picking a red and blue pen with replacing.
Answer:9/16
Step-by-
its 9/16 because in total there 16 pens so the the probabillty of getting a red and blue pen is combined the amount there is and you put the total number of pens as the denominator
The equation for the circle below is 2 + y2 = 64. What is the length of the
circle's radius?
O A. 2
8 d
Ο Ο
B. 64
C. 8
O Ο Ο
D. 9
E-1
OF 25
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
Which of the following could be the number shown on the number line?
A. √24
B. √27
C. √20
D. √26
Answer: (A) 24
Step-by-step explanation:
solve inequality (i need gelo with this )
Answer:
Interval Notation : ( -3, ∞)
Step-by-step explanation:
graph:
0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)
Help I'm not good at this :))
Step-by-step explanation:
1 yes it is rational
2 not
3yes
4 not
5 yes
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
8 nights
Step-by-step explanation:
First, you have to find out how many centimeters she knits per night and that can be found by dividing 42 by 6
You get 7, and then you find out how many times 7 must be repeated to make 56
Therefore you get 8 nights
In a hand of cards, the ratio of black cards to red cards was 5 to 3. If the hand contained 15
black cards, which of the following proportions could be solved to find the number of red
cards?
Answer:
5:3 = 15:x
the answer would be 15 black cards to 9 red cards
Step-by-step explanation:
janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal.
Answer:
25
Step-by-step explanation:
Please help please help please help please help
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
Ey pls help me anyone pls
Answer:
we cant read the whole question so I cant help you.
Step-by-step explanation:
Answer:
I will do 1-4 and explain because I dont have the time to do all of this.
1=130 2=130 3=134? 4=63 Just add up the numbers and subtract them from either 90 180 or 360, how to know which number to add up to is easy, just see if the sum of the numbers added makes a number above one of those numbers, for example if you find one that the sum is larger then 90 but smaller then 180 then subtract the sum from 180.
Step-by-step explanation:
winstons family is making 4 pizza's for dinner. they have 1 over 2 of a pound of shredded cheese and put an equal amount on. rach pizza how many pounds of cheese do they put on each pizza?
Answer:
1/8
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
4 divided by 1/2