Answer:
[tex]a_{n}[/tex] = 6n - 1
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence
d = 11 - 5 = 17 - 11 = 23 - 17 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6 , then
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Problem 5
A shoe store purchases a pair of shoes for $75
before a mark up is applied.
There is a 140% markup. After the markup, a 6%
sales tax is added.
What is the total after discount and tax?
Answer:
$78.9
Step-by-step explanation:
Given data
We are told that the store purchased the shoe before mark up, hence we only need to solve for the tax
tax= 6%
=6/100*75
=0.06*65
=$3.9
Hence the total is
=75+3.9
=$78.9
If 40 crayons cost $1.60, how much would 8 crayons cost?
Answer:
0.32
Step-by-step explanation:
1.60/4=0.04
0.04*8+=0.32
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK. Round your answer to the nearest tenth.
Answer:
The answer is "31.888".
Step-by-step explanation:
If their respective angles become congruent or the side lengths get a constant relation, they realize that two quadrilaterals are similar
EFGH is similar to IJKL because of quadrilateral
[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888[/tex]
What is the simplified expression of (2x -8) + (3x-2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
You can add the x together, 2+3 is 5 so we have 5x.
The you add the other numbers, -8+-2 is -10.
You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.
What, in degrees, is the measure of the largest angle in $\triangle PQR?$
Answer:
108 degrees
Step-by-step explanation:
3x+x+6x=10x, 180/10=18 and 18x6 is 108
Delilah deposits 8,255 in an account that pays 4.2% simple interest. How much money will be in her account after 8 years
Answer:
11235.35
Step-by-step explanation:
Given data
P=8225
R=4.2%=0.042
T=8years
The simple interest formula is
A=P(1+rt)
Substitute
A=8225(1+0.042*8)
A=8225(1+0.336)
A=8225*1.366
A=11235.35
Hence the balance will be 11235.35
Determine a series of transformations that would map Figure B onto Figure C
Answer:
Reflect across the y-axis. Then, translate 7 units up.
the coordinates of ABC are A( 2,3), B(6,6) , and C(7,2) . After a translation , the image of vertex A is (-6,1). a). give the coordinates of B and C after the same translation.
Answer:
B (-2, 4)
C (-1, 0)
Step-by-step explanation:
(x,y) -> (x - 8, y - 2)
A (2, 3) -> (2 - 8, 3 - 2) = A (-6, 1)
B (6, 6) -> (6 - 8, 6 - 2) = B (-2, 4)
C (7, 2) -> (7 - 8, 2 - 2) = C (-1, 0)
Hope this helped and made sense!
How much salt is there in 50 gallons of a 3% salt solution?
Asap, need help. Thanks if your going to help me! Please explain the steps!
Answers:
Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars=============================================================
Explanation:
We don't have enough information to nail down exact figures, but we can make a range estimate.
The two people (call them A and B) share the profits in the ratio of 4 to 5
In shorthand notation, we can say the ratio is 4:5
This means person A gets 4x dollars while person B gets 5x dollars
The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.
The total profit is therefore 4x+5x = 9x dollars
This expression 9x is between 1800 and 3600 dollars, including both endpoints
We then can say...
[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]
We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.
The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.
-------------------------
To summarize:
Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.
-------------------------
Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.
Find the coordinates of the midpoint of the segment gives its endpoint 6. A(5, 8) and B(-1,-4)
Answer:
(2,2)
Step-by-step explanation:
The midpoint between (5,8) and (-1,-4) would be (2,2). I hope that's what you're looking for.
Tell how many Solutions y= 3x+ 2 y=-4x+5
Answer:
There are 4 solutions
Step-by-step explanation:
Solve it
The Product of a number m and 23
Answer:
23m
Step-by-step explanation:
The product of a number m and the numeral 23 is 23m.
Based on the calculations, The product of a number m and 23 is equal to 23m.
How to solve a world problem?In Mathematics, it is important to assign a variable to the parameters used in a word problem, so as to distinguish each of them. Thus, m represents the variable for the given word problem.
Next, we would multiply the variable by the given number.
Translating the word problem into an algebraic expression, we have;
m × 23 = 23m.
Read more on word problems here: brainly.com/question/13170908
#SPJ2
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
⦣ACB = 76º
Step-by-step explanation:
⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal
⦣BAD = 76º so ⦣ACB = 76º
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
Which of the following could NOT be a possible option of the third side to a triangle with the sides 4 inches and 12 inches? *
A. 9 inches
B. 12 inches
C. 8 inches
D. 13 inches
Answer:
D
Step-by-step explanation:
brainliest
The mean of three numbers is 8
Two of the numbers are 6 and 11
Work out the third number.
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
→ Form an equation
[tex]\frac{x+6+11}{3}=8[/tex]
→ Solve
[tex]x+6+11=24\\[/tex]
[tex]x=7[/tex]
Simplify the expression:
3x + 5x + 6x – 4
Answer:
14x-4
Step-by-step explanation:
So you know 3x +5x = 8x so then you add 6x and put -4
Answer:
14x - 4
Step-by-step explanation:
simplifying this kind of given expression just means to put the variables all together and the numbers all together to get a shorter and more simplified version of the equation.
first do:
3x+5x+6x=
14x
and than you just have one number so your final simplified equation would be:
14x-4
Hey I need help ASAP NO SCAM PLEASE PROVIDE REASON WHY THIS IS THE ANSWER AND DONT SCAM IF YOU HAVE A QUESTION SAY IN THE INBOX NOT THE ANSWER AND STEAL POINTS thank you :3
Answer:
117 in²
Step-by-step explanation:
The formula is just Area = base * height
This means 13in*9in=117in²
The area of the parallelogram is 117 in²
ASAP PLEASE
What is the area of rectangle ABCD, If points A, B, C, and D have these following coordinates? A(0,0) B(5/7, 0), C(5/7, 3 1/2), D(0, 3 1/2)
Answer:
d
Step-by-step explanation:
Last year, Bob's Market ordered 15 1 2 15 2 1 pounds of plums from a local orchard. This year, the market plans to order 1 1 4 1 4 1 times as many pounds of plums as were ordered last year. They want 2 5 5 2 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?
Answer: 7 3/4 pounds
Step-by-step explanation:
Here's the correct question:
Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?
The amount of pounds of plum that is ordered this year will be:
= 15 1/2 × 1 1/4
= 31/2 × 5/4
= 19 3/8
Since they want 2/5 to be red plums, the total amount of red plums will then be:
= 2/5 × 19 3/8
= 2/5 × 155/8
= 310/40
= 7 3/4 pounds
Ok I really don’t understand this
Please Find the area for each trapezoid, I barely have any time left please be fast
Answer:
number 2 in the left
Step-by-step explanation:
Writing Prompt Algebra I
Your aunt is planning on building a rectangular pool that measures 10 feet by 12 feet. A
concrete walk around all four sides of the pool will also be included in the deal. However,
your aunt is not sure how big to make the width of the walk. Therefore, the width will be
“x” feet long. Your aunt is wondering how much land will be needed for the pool and the
walkway bordering the pool. You are to write a written description to your aunt telling her
how you would find the area of land needed for the pool and the walkway bordering all four
sides.
Answer: The width is 12 feet, since the pool measures 10 by 12.
Step-by-step explanation:
Your aunt will need 120 square feet of land. I know this because you multiply the length by the width, it equals 120. Then I have to look for the perimeter, and I do this by adding the length twice and add the width twice. This would equal 42.
a bracelet is now reduced to £420.
this is 70% of the original price.
work out the original price of the bracelet.
Answer:
420÷70=6
6×100= 600
Step-by-step explanation:
not sure if it's correct tho
WILL GIVE BRAINLIEST!!!
What is the y=mx+b of the equation 5x−4y=12?
Answer:
y = 5/4x - 3
Step-by-step explanation:
The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
produced when the cost is $19. Round your answers to the nearest whole number
All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or
equation, must be on a new line.
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
Which is the correct answer?
A) 3.41 m
B) 2.29 m
C) 1.59 m
D) 2.71 m
Answer:
its b or c ( im not for sure tho)
Step-by-step explanation:
What is the other match?
Answer:
A
Step-by-step explanation:
#4 Find angles 1, 2, 3 A SO 13 2 A) 90, 40, 50 B) 90, 50, 40 C) 90, 50, 90 D) 90, 40, 90
Answer:
HI UR CUTE
Step-by-step explanation:
I JUST FARTED
- 3 ( x + 4 ) = - 24
What is x?
*the dash in front of the numbers is a negative sign*
Let's solve your equation step-by-step.
−3(x+4)=−24
Answer:
x=4