Answer:
[tex]S_{32}[/tex] = 140
Step-by-step explanation:
The sum of n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]
= 16(1 + 7.75)
= 16 × 8.75
= 140
Question 1 of 25
Which of these numbers is in the solution set of x- 12 = 3?
O A. 15
O B. -9
O C. 9
OD. 4
Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1
Anna has £10 savings, Ben has £3.
Each week, Anna saves £2.50 and Ben saves £3.
How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?
Answer:
6
weeks
Step-by-step explanation:
Solve the equation. Linear Equations:Variable on Both Sides
-7x-3x+2=-8x-8
Solve it step by step
Liquid A has a density of 1.42 g/cm². 7 cm of
liquid A is mixed with 125 cm of liquid B to make
liquid C. Liquid C has a density of 1.05 g/cm. Find
the density of liquid B.
Give your answer correct to 2 decimal places
Answer:
A=density=1.42g/cm^3
mass=9.94g
volume=7cm^3
B=density =?
mass=128.66g
volume=125cm^3
C=density=108g/cm^3
mass=138.6g
volume=132cm^3
massA 1.42×7=9.94g
massB 138.6-9.94=128.66g
massC 132×1.05=138.6g
Density of B =mass/ volume
=126.66÷ 125
= 1.03g/cm^3
Points A,B,C are collinear. explain what is wrong with this picture. Use the linear pair theorem in your explanation
Answer:
hey can u help me with my work i posted i promise ill help u back
Help I need to know I only have 15 min
What does x equal in x/2=-5
Answer:
x=10. hope this helps
Step-by-step explanation:
A line passing through the point(-10,-5) and has a slope of -1/2
8 less than 4 times a number is 76. Find the number.
Answer:
the answer is twenty one
8
After a reflection over the line y=-2, which direction will the arrow be facing?
Down
Right
Up
Left
Of the 120 apartments in a building, 75 have been scheduled to receive new carpet. What fraction of the apartments have not been scheduled to receive new carpet?
1/4
3/8
5/8
3/4
Answer:
3/8
Step-by-step explanation:
Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.
Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:
[tex]\frac{45}{120}[/tex]
We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.
[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]
So, 3/8 of the apartments have not been scheduled to receive new carpet.
Please help! :0 :0 PLEASEEEEEE
Answer:
i would say either F or G
i guess choose F
Answer:
8
Step-by-step explanation:
Pg 118 #11 - 13, 15, 16
We can't get the answer if there's no problem?
10 times 7 + 5^2/2 times 5
Answer:
132.5
Step-by-step explanation:
10x7=70
5^2=25
70+25/2x5
70+12.5x5
70+62.5=132.5
20 points! :D
Help is much appreciated. :D
Answer:
I think it's 32x
Step-by-step explanation:
hope I got it right Im not to good at this
if marsha deposited 9,500$ into a savings acc 4 years ago The simple interest rate is 2% how much money did masha earn
Answer:
Kasha earned $10,260.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $9,500.00 at a rate of 2% per year for 4 years is $10,260.00.
Factor the following polynomial completely. x2n – y2n
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Visit: https://brainly.com/question/16955358
Find the perimeter.simplify your answer.
The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
Read more about perimeters at:
https://brainly.com/question/397857
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
B
Step-by-step explanation:
X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)
please help me with this 2
A runner wants to run a total of 42 miles. She wants to run the same number of miles each day. Which numbers of miles can she run each day: 3,4,5, or 6? How many days will it take her to run the 42 miles? Explain.
Answer:
3 or 6 miles; If she runs 3 miles each
Step-by-step explanation:
Answer:
3 or 6 miles; If she runs 3 miles each
Step-by-step explanation:
You research rowboat rentals at a local lake. The total charge to rent a rowboat for 2 hours is $22 for each boat, plus a fee of f dollars for each passenger, up to 5 passengers.
The day you decide to go to rent a rowboat, you take n friends with you and decide to rent one boat for 2 hours. Your total cost is $34.
Using f, n, and the other information provided, model this situation by completing the equation: __________________________ = $34.
Answer:
f=2 N=5
Step-by-step explanation:
Not sure how to do this. Help is much appreciated. :D
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
can you answer number four please
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
The teachers had to transport 165 students by bus on a field trip. Each bus holds 64 students. How many buses do they need to order?
Answer:
B
Step-by-step explanation:
Divide the number of students by the capacity of each bus
. 165 / 64 = 2 (busses) + 37/64 (remainder)
165 students
each bus= 64 students
to find:how many buses they need to order in order to take 165 students.
solution:[tex] \frac{165}{64} [/tex]
[tex] = 2.578125[/tex]
[tex] = 2 \frac{37}{64} [/tex]
hence, the correct answer is option B.
Determine the measure of angle ∠ABD.
a) 48
b) 12
c) 90
d) 24
Answer:
24 or 12
Step-by-step explanation:
A weightlifter's maximum amount he can lift is 300 pounds. Write and solve an equality to find the number of 50 pound weights he can possibly lift.
50w/50 = 300/50
----------- -----------
1w (or) w = 60
w = # of weights
The weightlifter can lift a maximum of 60 weights if each weight weighed 50 pounds.
There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answer:
D. 31 toys
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:[tex] \frac{377}{12} [/tex]
[tex] = 31.4166666667[/tex]
[tex]nearest \: whole \: number = 31[/tex]
hence, she'll have 31 toys left to give her little brother.
answer= option D
SUPER EASY DO FAST PLEASEE
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