Answer:
171/40 or 4 11/40Step-by-step explanation:
AP givena + b, a - b, ab, a/bTo find6th termSolutionCommon difference
Difference of first two
d = (a -b) - (a + b) = -2bDifference of second two
d= ab - (a - b)Difference of last two
d = a/b - abNow comparing d:
-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)and
a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)Eliminating a:
2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5Finding a:
a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8So the first term is:
a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40Common difference:
d = -2b = -2(-3/5) = 6/5The 6th term:
a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40What’s is a standard form?
Answer:
Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . ... This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.
Step-by-step explanation:
Answer:
ax+by=c
Step-by-step explanation:
this is standard for, if that's what you'e asking for
Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the area of the two triangles that need to be painted?
Dimensions:
Triangle 1: 6 by 2
Triangle 2 5 by 9
Answer:
It would be 28.5. First, you would find the area of the smaller triangle by using the formula a=.5bh (area=.5xbasexheight) and then when you get that, you should get 6. Then, you do the same for the larger triangle and you should get 22.5. Then, 22.5 + 6 = 28.5, giving you that answer.
Step-by-step explanation:
The basketball team went out for pizza after their championship game.
The total bill was $125. The tax rate was 7%. The coach left a 25% tip for the waitress because she worked very hard serving all of the kids.
Determine the total bill.
Answer:
$165
Step-by-step explanation:
Find what 7% of $125 is. (Multiply 125 times .07)
Find what 25% of 125 is (Multiply 125 times .25)
Add everything together
You get an answer of $165
Hope I helped!! :)
Pls mark brainliest!!!
George lost 12 1/4 kilograms on his diet. How
many grams did he lose?
Answer: 12250 Grams
Step-by-step explanation:
1 Kilogram = 1000 grams.
12 Kilograms x 1000 Grams = 12000 Grams.
1/4 = 0.25
0.25 Kilograms x 100 Grams = 250 Grams
12000 + 250 = 12250.
Answer: 12250 Grams.
I really need help on this question.!
Answer:
[tex]b = 135 \\ a + c = 45(ie \: 180 - 135) \\ a = \frac{45}{2} \\ a = 22.5[/tex]
3/2+b=7/4 what is the value of B
b = 1/4
b = 0.25
Move all terms not containing b to the right side of the equation.
Answer:
b=1/4
Step-by-step explanation:
The length of a pole in a picture is 4 inches. The scale of the picture was given to be 1 inch x 13 inches. What would be the actual length of the pole?
Answer:
52 inches
Step-by-step explanation:
4×13=52 inches
Please Help with math word problem.
A community drama centre sells tickets to a play. They sell 216 tickets. Adult tickets cost $10.25 and students tickets cost $8. The total number of sales was $2117.25. How many students tickets were sold, how many adult tickets were sold?
Please show me how its done
Will make brainlist, thanks
Answer:
Adult Tickets: 173
Student Tickets: 43
Explanation:
To solve this problem, you'll need to set up a system of equations.Assume a = # of adult tickets soldAssume s = # of student tickets sold2: a + s = 216; 1: 10.25a+ 8s= 2117.25
2: <<As the total number of tickets sold from both sides is equal to 216>>
1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>
Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.In this case, I'll elimnate a.a + s = 216
10.25a + 8s = 2117.25
In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).-10.25a -10.25s = -2214
10.25a + 8s = 2117.25
a cancels, and now you solve accordingly.-2.25s/-2.25 = -96.75/-2.25
s = 43
You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.a + 43 = 216
- 43 -43
a = 173
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
BRAINLIEST IF ANSWER
What is the opposite of the opposite number located at point b? A) −2 B) −1 2 C) 2 D) 1 2
Answer:
Hope it help
Step-by-step explanation:
Letter c
hellllllllllllllllllllllllllllllllllp
Answer:
I think it's A. 32.0
Step-by-step explanation:
All you need the photo
The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is
(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2
… = ((-64 + 80 + 4) - 4) / 2
… = 16 / 2
… = 8
h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.
What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2
4/5 + v = 41/20
solve this plz and show me how you got the answer
Answer:
v = 1 1/4 (1.25)
Step-by-step explanation:
4/5 + v = 41/20
16/20 + v = 41/20
16/20 16/20
---------------------------
v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4
Andrea earns $32.25 a day. After 9 days , about how much will she have earned?
ESTIMATE
An 5 in. by 7 in. photo is reduced so that the width (the shorter dimension) is 4 in.
What is the length of the reduced photo?
What is the length of the reduced photos
4in
3.75 in
5.25 in
5.60 in
Answer: 5.60 in
Step-by-step explanation:
4 / 5 = x / 7 Multiply both sides by 7
28/5 = x Divide 28 and 5
5.6 = x
So the answer would be 5.60 inches.
The length of the reduced photo will be 5.60 in.
What is proportion?A proportion is a comparison of two numbers that each represent the parts of a whole.
Given that, An 5 in. by 7 in. photo is reduced so that the width is 4 in
Since, there is a reduction occurring then the new and original dimensions will be in equal proportion,
Therefore,
4 / 5 = x / 7
28/5 = x
5.6 = x
x = 5.6
Hence, the answer would be 5.60 inches.
For more references on proportion, click;
https://brainly.com/question/3254974
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Another housecleaning service, Acme Home, calculates its fees using the equation y=25x
, where y is the total fee and x is the number of hours worked.
A customer is looking to choose the less expensive cleaning service. Which conclusion can be drawn?
Answer:
y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}
Step-by-step explanation:
Services cost : y = 25x , where y is the total fee and x is the number of hours worked.
If customer is looking to choose the less expensive cleaning service ; he / she has following options -
Choosing fee structure where y < 25x Choosing y = k x , where k per hour fee is lesser Choosing time efficient worker, as fee is in regards hours utilised.In Andrew's number, the value represented by the digit 5 is 10 times the value represented by the digit 5 in 2,356. Which number did Andrew write?
A: 8,512
Any number with the 5 in the thousandths place value would be your answer.
A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give away supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families
Answer:
195 plants (verified) ✅Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅
Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes
Answer:
Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour
As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches
Step-by-step explanation:
I hope this helps and I’m not to late.
f(x) = x + 8; translation 5 units down
Answer:
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
What is the slope for this??
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
I need help with number 19 please help me
Answer:
x=3
Step-by-step explanation:
-3x= -9
x= -9/-3
x=3
bring the -3 to right side and than divide
Which of the functions listed below will produce the graph shown here?
HELP!!!!
Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
10 ÷ 40
40⋅10
40 + 10
40 ÷ 10 PLEASE HELP ASAP
Write the answer in simplest form 3/8 + 1/6
Answer:
13/24
Step-by-step explanation:
3/8+1/6=9/24+4/24
Answer:
13/24
Step-by-step explanation:
3/8 + 1/6 - (3/3 x 3/8) + (4/4 x 1/6) - 9/24 + 4/24 - [tex]\frac{9+4}{24}[/tex] = 13/24
4(3+c)+c=c+4 ???????????????????????????
Answer: = - 2
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4(3+4) so you do multiplication because there is a parenthesis and you do the 4 multiply the number that is inside the parenthesis so 4x3 + 4x4 you do that and then multiply it then we will have 12+16 and we add that we get 28 and that’s the answer I hope it helps you
What is the solution to this system
1) y = -6x - 17
-2x + 3y = -11
Answer:
{y, x} = {-5, -2}
The radius of a circle is 2 feet. What is the circle's area?
r=2 ft
Use 3.14 for .
square feet
Answer: 12.57
Step-by-step explanation:
1.Tara buys 6 cakes, each costing 23p. How much will they cost?
2. She pays with a £5 note. How much change will she get?
pls answer!!!
Answer:
£ 3.62
Step-by-step explanation:
Cost of 6 cakes = 6 * 23
= 138 p
= £ 1. 38
Balance money = 5 - 1.38
= £ 3.62