9514 1404 393
Answer:
6(9v -7w)
Step-by-step explanation:
The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:
54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)
QUESTION 6 1 POINT
Using the table, what is the average daily balance of the credit card for the August 1 through August 31 billing period?
Round your answer to the nearest dollar.
Provide your answer below:
Day
1
8
16
24
Activity
Payment
Purchase
Purchase
Adjustment Closing Balance
-550
4
+200
+150
850
300
500
650
Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.
To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.
Let's calculate the daily balances for each day:
Day 1: Closing Balance = $850
Day 8: Closing Balance = $300
Day 16: Closing Balance = $500
Day 24: Closing Balance = $650
To calculate the daily balances, we need to consider the activities that occurred on each day.
On Day 1, there was no activity recorded, so the closing balance remains at $850.
On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.
On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.
On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.
Now, let's calculate the average daily balance:
Sum of daily balances = $850 + $300 + $500 + $650 = $2300
Number of days in the billing period = 31
Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19
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Please fill this all im for 20 points! <3 :)
Answer:
Step-by-step explanation:
1) Regular price = $ 20
Reduction = 18% of regular price
= 0.18 * 20
= 3.6
Discount price = 20 - 3.6 = $ 16.4
2) Regular price = $ x
Reduction = 18% of regular price
= 0.18 * x
= 0.18x
Discount price =$ (20 - 0.18x)
3) Discount price = $ 18.45
Let the regular price be x
(100 - 18)% of x = 18.45
82% of x = 18.45
[tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]
Regular price = $22.50
ITS DUE TODAY PLS HELP
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches
Answer:
i. The surface area of the ball is approximately 28.0 square inches.
ii. The volume of the ball is approximately 14.0 cubic inches.
Step-by-step explanation:
The ball has the shape of a sphere, so that;
C = 2[tex]\pi[/tex]r
9.4 = 2 x [tex]\frac{22}{7}[/tex] x r
65.8 = 44r
r = [tex]\frac{65.8}{44}[/tex]
r = 1.50 inches
The radius of the ball is 1.50 inches.
i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]
So that,
surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]
= 28.2857
The surface area of the ball is approximately 28.0 square inches.
ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Volume of the ball = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 14.1429
The volume of the ball is approximately 14.0 cubic inches.
Three gears are arranged as shown in the figure. Find angle θ.
Answer:
Answer: 111∘
Step-by-step explanation:
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
complete the table for the equation. plz helppp
If I get paid $5 for every 10 minutes, how much do I get paid an hour?
Step-by-step explanation:
30$ hope it helped I don't know if its correct though let me know if I'm wrong
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
QUICK 20 POINTS !!
Use the equation machine to solve this equation.
x = __
Answer:
x=2 (-7 , then -5 for the drag part)
Answer:
2
Step-by-step explanation:
Find the volume of the pyramid.
I will ONLY give you a brainliest if your answer is CORRECT!
Answer:
72 cm³
Step-by-step explanation:
Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.
We need to first find a, the area of the bas triangle:
Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.
a = (1/2)12*4
a = 6*4
a = 24 cm²
Knowing a, we can know find the volume:
Volume = a*(h/3)
= 24*(9/3)
= 24*3
= 72 cm³
I need these answers
Answer:
Volume of triangular prism = 126 cm³
Step-by-step explanation:
Given:
Base of side triangle = 6.3 cm
Height of triangular prism = 4 cm
Length of side = 10 cm
Find:
Volume of triangular prism
Computation:
Volume of triangular prism = Area of triangular cross section x Length of side
Volume of triangular prism = (1/2)(b)(h) x Length of side
Volume of triangular prism = (1/2)(6.3)(4) x 10
Volume of triangular prism = (6.3)(2) x 10
Volume of triangular prism = 12.6 x 10
Volume of triangular prism = 126 cm³
(q8) Find the volume of the solid obtained by rotating the region bounded by
, and the x-axis about the y axis.
Rotating the area enclosed by, and the x-axis about the y axis yields the solid's volume, which is [tex]9\pi[/tex]. option C.
The cylindrical shell method can be used to determine the solid's volume after rotating the region enclosed by the curves x = 3y, x = 3, and the x-axis about the y-axis.
Let's begin by mapping the area:
The parabola that opens to the right and passes between the points (0,0) and (9,3) is represented by the curve x = 3y.
The volume element must be expressed in terms of y in order to set up the integral. Imagine rotating a narrow strip of material with width dy along the y-axis to create a cylindrical shell.
The tallness of theThe difference between the x-values of the curves x = 3 and x = 3y yields the cylindrical shell:
h = 3 - (3√y) = 3(1 - √y)
The distance between the y-axis and the curve x = 3y, denoted by the symbol r, and the circumference of the cylindrical shell is 2r. Here, r equals 3y.
The volume element is thus:
dV = 2π(3√y)(3(1 - √y)) dy
The integral may now be set up to determine the entire volume:
V = ∫[0,3] 2π(3√y)(3(1 - √y)) dy
This integral can be simplified to give us the solid's volume. After analysing the integral, we determine that is the right response. 9 cubed units.option C
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A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?
Answer: We cannot assume independence for the cars sampled from plant B.
Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”
Answer: We cannot assume independence of the cars sampled from plant B.
Step-by-step explanation:
Maria and Ming start at the same point and drive in opposite directions. Maria drives 54 mph and Ming drives 48 mph. How far apart will they be in 3 hours?
Answer:
Step-by-step explanation:
Remark
They are going in opposite directions. That means you add the distances.
Total Distance = Maria_d + Ming_d
Ming
d = ?
r = 48 mph
t = 3 hour
d = r * t
d = 48 * 3
d = 144 miles
Maria
d = ?
r = 54 miles / hour
t = 3 hours
d = r * t
d = 54 * 3
d = 162
Total distance
Total = 162 + 144
Total = 306 miles
I need help please (100 points)
Answer:
10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20
now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0
Can I get answer please
Help pls i'm lost i really need help
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
0.3
Step-by-step explanation:
in theory the chance to get heads is 0.5 however only two of the coin flips resulted in heads so the experimental probability is 0.2. the difference between these is 0.3.
Answer:
the correct answer is D because you have got 10flips with 2head the probability for it 2/10 or 0.02 and you know we don't always get the same result as always, and you wanna add some for the reason and you got 0.03 ( ◜‿◝ )♡
Which angles are vertical to each other
Answer:
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles.
What is the distance between (5, 5) (5, -2)
Answer:
7 units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:
[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]
So, the answer is 7 units.
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(3,6) and (1,8)
joann is having a party. she wants to make punch. the recipe for punch uses 4 pints of orange juice, 5 cups of apple juice, 1/2 galloon of lemonade and 2 quarts of pinapple juice. Joann decides to pour her punch into 1- quart containers to fit in her refrigerator until the party starts. She has eight 1 - quart containers. Will all of her punch fit into the containers?
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
geometry math help plz answer all questions
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
Open Picture Need Help With 11 & 12
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
WHAT IS 15/50 IN DECIMAL AND IN PERCENTAGE
15
_
50
Help a little bit stuck
Answer:
Surface area of rectangular prism = 250 cm²
Step-by-step explanation:
The rectangular prism is Prism B
Surface area of rectangular prism = 2lw + 2hw + 2lh
Where,
h = 10 cm
w = 5 cm
l = 5 cm
Plug in the values
Surface area of the rectangular prism = 2(5)(5) + 2(10)(5) + 2(5)(10)
= 50 + 100 + 100
= 250 cm²
Will give BRAINLIEST
Answer:
It’s 330
Step-by-step explanation:
Just multiply 440 by 0.75 and you would get 330. Have a nice day!
Find x and y thank you for you’re help
Answer:
y = 18
x = 15.588