Answer:
[tex]\frac{60}{11}[/tex] feet
Step-by-step explanation:
Rectangle 1:
6 x Width = Area
Rectangle 2:
5 x Width = Area
Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet
Take Width as [tex]x[/tex] as the widths of both rectangles are the same:
[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]
determine the principle that will earn $200 as simple interest after 8 years at 5% per annum.
Answer:25
Step-by-step explanation: 200/8=25x5=125
Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi inches squared, and multiplied that by the height of 3 inches for a total volume of 12 pi inches cubed. Explain the error Tommy made when calculating the volume of the can.
Answer:
Tommy used diameter instead of radius in calculationStep-by-step explanation:
Givend = 2 inchesh = 3 inchesTo findVolume of the canSolutionVolume formula:
V = πr²hCalculation
V =π(d/2)²h = π(2/2)²(3) = 3π in²Tommy's error is squaring the diameter instead of radius
Answer:
Sample response: Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches.
Step-by-step explanation:
Change at least one number in the table so that it DOES represent a function.
Answer:
change 2 to 4
and 1 to 5
1 --> 5
2 --> 10
3 --> 15
4 --> 20
5 --> 24
Step-by-step explanation:
Function means you can have one input for evry one output
so you have to change the 2 and 1 to diffrent numbers like 4 and 5
so now evey imput has their own out put
befor input one it had 5 and 24
and input two had 10 and 20 but changing the number you get one for one
Determine whether the following graphs represent a function by using the vertical line test
Answer:
A function passes the vertical line test when it doesn't hit the same spot twice. If I am correct the answers are below.
Step-by-step explanation:
A)Yes
B)Yes
C)No
D)Yes
E)No
F)Yes
-2/5(10x-3)-8.4> -12.4 i need the answer quick
Answer:
x < [tex]\frac{10}{13}[/tex]
Step-by-step explanation:
hope this helps :)
what is the measure of <x
Answer:
47
Step-by-step explanation:
180 - 133 = 47
Answer:
The measure of x is 47°
Step-by-step explanation:
180°-133°=47°
A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
811.98*7.5%= 60.898
811.98+60.898= 872.787 round to $872.79
Answer:
$872.88
Step-by-step explanation:
811.98 x 7.5%= 811.98 x 0.075
811.98 x 0.075= 60.90
811.98+60.90= 872.88
Dan buys a car for £2500.
It depreciates at a rate of 4.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2080.00
Step-by-step explanation:
4.2%*4= 16.8%
16.8%*2500= 420
2500-420= 2080
The value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.
What is the depreciation rate?The rate of depreciation is the percentage by which the value of an asset decreases over time.
To calculate the value of the car after 4 years, we need to apply the depreciation rate of 4.2% to the original value of £2500 for each year.
First, we can calculate the value of the car after one year:
Value after one year = £2500 - 4.2% of £2500
= £2500 - 0.042 x £2500
= £2500 - £105
= £2395
Then, we can use this value as the starting point to calculate the value after two years,
Value after two years = £2395 - 4.2% of £2395
= £2395 - 0.042 x £2395
= £2395 - £100.29
= £2294.71
Similarly, we can repeat this process for the third and fourth years:
Value after three years = £2198.26
Value after four years = £2105.80
Therefore, the value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.
Learn more about depreciation rate here:
https://brainly.com/question/16688819
#SPJ6
The stock of Company A gained 2% today to $79.56. What was the opening price of the stock in the beginning of the day?
Answer: $78
Step-by-step explanation:
From the question, we are informed that the stock of Company A gained 2% today to $79.56. The opening price of the stock in the beginning of the day will be calculated as:
= [100% / (100% + 2%)] × 79.56
= (100% / 102%) × 79.56
= 1/1.02 × 79.56
= 79.56/1.02
= 78
Therefore, opening price of the stock in the beginning of the day is $78
Use this new algebraic method to find equations for the line with the following properties:
A slope of −3, passing through the point (15,−50).
Show your work in the sketch box on the left.
Step 1: Substitute values for m, x, and y.
Step 2: Solve equation for b.
Step 3: Rewrite your equation with only m and b.
What is the equation of this line?
Answer:
Y = -3x + 90
Step-by-step explanation:
Y= Mx + b
M - (-3)
X - 15
Y - (-50)
Y = Mx + b
50 = (-3)(15) + b
50 = -45 + b
95 = b
Y = -3x + 90
Hope this helps
Which of the following represents the probability that someone who
works full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)
Answer:
The correct option is;
(E) P(full time) × P(credit card debt over $5,000)
Step-by-step explanation:
The given parameters are;
The mode of employment of a person = Full time
The amount of debt in the credit card = More than $5,000
The probability that a person works full time = P(full time)
The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)
Therefore, the probability that someone who works full time has more than $5,000 in credit card debt = P(full time) × P(credit card debt over $5,000)
At Fenway park, they sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less dogs. How many hot dogs should they sell to maximize profit?
Answer:
4,100
Step-by-step explanation:
Let x be increase in the price % and f(x) be revenue
Revenue = Sales price*Total number hot dog sold
Hot dog sold = $4/dog
Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)
f(x) = 2000 - 800x + 1250x - 50x^2
f(x) = -50x^2 + 450x + 2000
To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0
f1(x) = -100x + 450
0 = 0100x + 450
x = 4.5
Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)
= 5000 - 900
= 4100
Thus, the number of hot dog sold = 4,100
Can someone answer this?
Answer:
I got you it
Step-by-step explanation:
B and have a good day
J. 26
ply answering the following qu
Learning Task 1. Write the letter before the number. The letters will spell out
the Khmer greeting.
1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?
G. 23
H. 24
I. 25
2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,...?
T. 8, 10, 18 U. 8, 13, 21 V. 8, 12, 16 W. 8, 11, 14
3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?
M. 8, 16, 32 N. 8, 14, 28 0.8, 18, 28 P. 8, 12, 16
4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?
Q.-2
R. 2
S. 3
T. -3
5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?
I. 25
J. 30
K. 35
L. 40
6. If a1 = 2, d = -2, then what is a 12?
T. -20
U. -22
V. 20
W. 22
7. What is the common ratio of the given sequence 1000, 500, 250, 125?
R.
Q. -2
S.
P. 2
8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?
1
T.4
U. 62
S. 2
V. 8
9. What is the Khmer greetings?
Answer: See explanation
Step-by-step explanation:
1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?
This will be:
= 5n + 1
= 5(5) + 1
= 25 + 1
= 26
2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,....
Fibonacci sequence means that you'll add the two previous numbers given to get the next number. Therefore, the next numbers will be:
3+5 = 8
5+8 = 13
8 + 13 = 21
The numbers are 8, 13 and 21.
3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?
a = 4
ar^4 = 64
We replace a with 4
4r^4 = 64
r^4 = 64/4
r^4 = 16
r = 2
2nd term = ar = 4 × 2 = 8
3rd term = ar^2 = 4 × 2^2 = 4 × 4 = 16
4th term = ar^3 = 4 × 2^3 = 4 ×✓8 = 32
The numbers are 8, 16 and 32.
4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?
Common ratio = 2nd term / 1st term
= ar / a
= -6/3
= -2
5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?
an = 3n - 5
= 3(10) - 5
= 30 - 5
= 25
6. If a1 = 2, d = -2, then what is a 12?
a12 = a + (n - 1)d
a12 = a + (12 - 1)d
a12 = a + 11d
a12 = 2 + 11(-2)
a12 = 2 - 22
a12 = -20
7. What is the common ratio of the given sequence 1000, 500, 250, 125?
Common ratio = 2nd term / 1st term
= 500 / 1000
= 1/2
8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?
a = -10
d = -8 - (-10) = -8 + 10 = 2
8th term = a + (n - 1)d
= a + (8 - 1)d
= a + 7d
= -10 + 7(2)
= -10 + 14
= 4
9. What is the Khmer greetings?
It is a greeting used by Cambodians when they meet and they will say Choum Reap Sur which simply means Hello. Also, when they're leaving they'll Som Pas and then the person will say Choum Reap Lir which mean Goodbye. It should be noted that Don Pas is used by Cambodians to greet and to also show respect for someone.
The area of the shaded region
Answer:
37.7
Step-by-step explanation:
Large circle = [tex]\pi[/tex]r² = [tex]\pi[/tex]5² = 78.54
Medium circle = [tex]\pi[/tex]3²= 28.27
Small circle = [tex]\pi[/tex]2²= 12.57
78.54-28.27-12.57 = 37.7
I'm struggling please help
Answer:a
Step-by-step explanation:
Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.
Which expression is equivalent to 6(2u)?
(u + 2)6
6 + 2u
(20)6
U + 8
Answer:
There is no answer at all
Given:6(2u)=12u
(u + 2)6=12+6u
6 + 2u= 2u+6
(20)6= 120
U + 8 = u+ 8
Answer:
I would think it should be 6x2u. if u equals 10 then it would be (20)6
Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
Answer:
4 units
Step-by-step explanation:
C
Find the first three terms of the sequence below. T n = n 2 + 3 n + 4
Answer:
9,14,19
Step-by-step explanation:
You seem to be giving the expression 2n+3n+4.
Now simplify
An = 5n+4
Fill in n
5(1) +4
5(2) +4
5(3)+4
After solving and simplifying you see 9, 14 and 19 are the first 3 terms.
David is buying a television that is regularly priced at $450.The television is on sale for 20% off. Sales tax is 7%.Whicj expression will calculate the final price of the television.
Answer:
The final price of the television is $502.20.
Step-by-step explanation:
The information provided is:
CP = $450
d% = 20%
s% = 7%
Compute the final price of the television as follows:
[tex]SP=CP\times (1 + s\%)\times (1-d\%)[/tex]
[tex]=450\times (1+0.20)\times (1-0.07)\\\\=502.2[/tex]
Thus, the final price of the television is $502.20.
A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
What is the quantity of pairs and how much are they each pair??
Answer:
They buy at wholesale and sell at an 80% markup. The retail prices are;
0 - 20 pairs.
= 25 * 1.80
= $45.00
21 - 40 pairs
= 23 * 1.80
= $41.40
41 - 60 pairs
= 21 * 1.80
= $37.80
61 - 80 pairs
= 19 * 1.80
= $34.20
81 or more pairs
= 17 * 1.80
= $30.60
Can someone help please ?
Answer:
The answer is D.
Answer:
i did this in Algebra 1
it's D.
Step-by-step explanation:
:)))
6-2x=5x-9x+12 what is the value of x
its for savvas realize
Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.
Step-by-step explanation:
6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.
Answer:
x=3
Step-by-step explanation:
6-2x=5x-9x+12
6-2x=-4x+12
-2x+4x=12-6
2x=6
x=6/2
x=3
If the prime factors of a number are all the prime numbers less than 10 and no factor is repeated, what is the number?
Answer:
there are multiple answers to the question like 3, 5, and 7
Step-by-step explanation:
Write the equation of a line that is perpendicular to the graph of y = 1/2 x + 3, and passing through the point (-3, 5). Show work
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
the ratio of 70 to 210
If you're looking for the lowest ratio for 70 to 210, it should be
1:3
70min=70×60=4200sec
ratio=4200/210
=210×20/210
=20/1
=20:1
Neuma had a container that held of a kilogram of rainbow sprinkles. She divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. To determine the weight of each serving, Neuma performed the calculations below.
Answer:
Neuma should have only divided 9 by 9, not 54 by 9
Step-by-step explanation:
i hope it helps and is correct
Answer:
C is the answer
Step-by-step explanation:
5. A line crosses through the points (0, 2) and
(-10, - 16). Which of the following is the slope
of the line?
Answer:
Option B
Step-by-step explanation:
In order to find the answer you must use the formula for slope, substitute the values, and solve.
[tex]P = (0,2) = (x1,y1)[/tex]
[tex]P=(-10,-16)=(x2,y2)[/tex]
[tex]Slope = \frac{y2-y1}{x2-x1}[/tex]
Substitute:
[tex]Slope = \frac{-16-2}{-10-0}[/tex]
Solve:
[tex]-16-2=-16+-2=-18[/tex]
[tex]-10+0=-10[/tex]
[tex]=\frac{-18}{-10}[/tex]
Reduce:
[tex]18\div2=9[/tex]
[tex]10\div2=5[/tex]
Remember that a negative divided by a positive equals a negative
[tex]=-\frac{9}{5}[/tex]
Hope this helps
-18y+7yz-4z
(simply the expression)
please help
Answer:
-18y + 7yz - 4z
Step-by-step explanation:
Which statements must be true regarding the two
triangles? Check all that apply.
O ZM= ZM"
O ALMN – AL"M"N"
ALMN = AL"M"N"
The coordinates of vertex L" are (-3, 1.5).
The coordinates of vertex N" are (3,-1.5).
The coordinates of vertex M" are (1.5, -1.5).
Answer:
b
Step-by-step explanation:
its pretty simple if you look at it riggt