The number of pavers is the count of pavers that fit the garden
Jayden should buy 1 paver
The dimension of the garden is given as:
Length = 8ft
Width = 2ft
So, the area is calculated as:
Area = Length x Width
This gives
Area = 8ft x 2ft
Area = 16 square ft
The dimension of the paver is given as:
Length = 4ft
So, the area is calculated as:
Area = Length x Length
This gives
Area = 4ft x 4ft
Area = 16 square ft
The number of pavers is calculated by dividing the area of the garden by the area of the pavers.
So, we have:
[tex]\mathbf{Number = \frac{Garden}{Pavers}}[/tex]
[tex]\mathbf{Number = \frac{16ft^2}{16ft^2}}[/tex]
[tex]\mathbf{Number = 1}[/tex]
Hence, he should buy 1 paver
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(5x + 3) (3x2 + 4x + 4)
Answer:
dggdhdhdhshsjshdhdhhshshshshdhdhsbsbsbd
I need help with this question please
Answer:
w = [tex]\frac{t}{4}[/tex]
Step-by-step explanation:
We have t = 4w, the question is asking to rearrange the equation to make "w" the subject, meaning that we have to isolate the variable w.
When we have a number (usually known as a coefficient) next to a variable and want to get rid of it, we need to divide it by both sides. Therefore :
t = 4w
[tex]\frac{t}{4} =\frac{4w}{4}[/tex]
[[tex]\frac{t}{4} =w[/tex]]
Since "t" is an undefined variable and has no initial value, you cannot divide it by anything, therefore it'll stay as [t/4 = w]
Which transformation of f(x) will produce the same graph as g(x)?
f(x) = 3x
g(x) = f(x) + 3
Answer:
its D.
Step-by-step explanation:
Answer:
its not D. I tried it and marked it wrong for some reason.
Step-by-step explanation:
happens to be this happaned a few times already but ill see whats up
What is the ratio of 8 triangles to 10 stars in simplest form?
Evaluate.
(a – 2b)^3 when a= -3 and b = -1/2 Enter your answer in the box
Answer:
- 8
Step-by-step explanation:
Substitute the values for a and b into the expression
(- 3 - 2(- [tex]\frac{1}{2}[/tex] ) )³
= (- 3 + 1)³
= (- 2)³
= (- 2) × (- 2) × (- 2)
= 4 × - 2
= - 8
help please i got absolutely no clue how to solve this
Answer:
A)
Step-by-step explanation:
To complete the square, we need to find such p and q that:
r^2 - 12r - 27 = (r - p)^2 - q = r^2 - 2pr + h^2 - q
Because we know that 2pr = 12r, then p = 6
(r - p)^2 - q = (r - 6)^2 - q = r^2 - 12r + 36 - q
We know that 36 - q = -27, so q = 36+27 = 63
Now we can solve for = 0
(r - 6)^2 - 63 = 0
(r - 6)^2 = 63
r - 6 = √63 or r - 6 = -√63
r = 6 + √63 = 6 + 3√7 or r = 6 - √63 = 6 - 3√7
Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent to the number of dogs weighing under 20 pounds?
A.0.49
B.0.444444
C.0.2222
D.0.24
Answer:
The answer is B. 0.4444
Step-by-step explanation:
You take 4 and divide it by 9 to get 0.4444
MATH.QUESTION.HELP. BRAINILEST WILL BE GIVEN!!!
Answer:
C. [tex] 2 \dfrac{1}{3} [/tex]
Step-by-step explanation:
[tex]\dfrac{1}{3} \cdot 7 = \dfrac{1}{3} \cdot \dfrac{7}{1} = \dfrac{7}{3} = 2 \dfrac{1}{3}[/tex]
Plz help I need help
Answer: y = 6x
Step-by-step explanation:
This table portrays a straightforward proportion between x and y. y is very simply 6 times x.
Hope it helps :) and let me know if you want me to elaborate.
Please help me with this
Answer:
264 cm³
Step-by-step explanation:
Consider the L-shaped end of the figure. It is 7 cm wide, and 3+4 = 7 cm high. It can be considered to be a 7 cm square with a portion cut out of the upper right corner. That portion is a square that is 4 cm by 4 cm.
Then the area of the L-shaped end is ...
(7 cm)(7 cm) -(4 cm)(4 cm) = (49 -16) cm² = 33 cm²
The volume of the figure is the product of this area and the overall length, which is 8 cm.
V = Bh = (33 cm²)(8 cm) = 264 cm³ . . . volume of the figure
_____
Additional comment
There are other ways the volume can be figured. For example, it can be considered as a 7 × 8 × 3 cm block with a 3 × 4 × 8 cm block on top. That gives a volume of ...
V = LWH . . . . for each block
V = (7 cm)(8 cm)(3 cm) +(3 cm)(4 cm)(8 cm) = 168 cm³ +96 cm³ = 264 cm³
4. While they were out Christmas shopping, Mrs. Berry took
her family to eat at Olive Garden. Their bill total was $65. Since
it is the holiday season-they decided to leave a 25% tip. You
pay at the table at this restaurant. How much would Mrs. Berry
need to leave on the table, including the tip?
A. 81.25
B. 16.25
C.78.00
D. 13.00
Answer:
B. $16.25
Step-by-step explanation:
All you have to do is find 25% of $65 which is $16.25.
Answer:
C would be the correct answer.
Geez people are already doing Christmas shopping and thanksgiving is next week come on now. Lol I over react when I see Christmas in November.
Step-by-step explanation:
Hope this helps:)
Imma leave this here until someone answer it :))
Answer:
Step-by-step explanation:
1) x +y = 3
Subtract 'x' from both sides
y = -x + 3
2) x - 3y = 12
Subtract 'x' form both sides.
-3y = -x + 12
Divide the entire equation by (-3)
[tex]\dfrac{-3y}{-3}=\dfrac{-x}{-3}+\dfrac{12}{-3}\\\\\\y = \dfrac{1}{3}x-4[/tex]
3) 5x + 2y = 10
Subtract 5x from both sides
2y = -5x + 10
Divide the entire equation by 2
[tex]\dfrac{2y}{2}=\dfrac{-5x}{2}+\dfrac{10}{2}\\\\\\y = \dfrac{-5}{2}x + 5[/tex]
4) y = 6x + (1/3)
It is already in y =mx +b form
5)
[tex]y=\dfrac{1}{x}*x-15\\\\\\y = 1-15\\\\y = -14\\\\y=0x -14[/tex]
A die is rolled 10 times. Find the probability of rolling exactly 1 four.
Answer:
10 in 60 chance, or simplified to 1 / 6
Step-by-step explanation:
1 in 6 chance of rolling a four in one roll
Multiply both sides by 10
10 in 60
The probability of rolling exactly 1 four is [tex]1.65\times10^{-8}[/tex].
Given that, a die is rolled 10 times.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
When throwing die once, we get
Probability of getting 4 = 1/6
Now, a die is rolled 10 times
= [tex](\frac{1}{6} )^{10}[/tex]
= 1/60466176
= [tex]1.65\times10^{-8}[/tex]
Hence, the probability of rolling exactly 1 four is [tex]1.65\times10^{-8}[/tex].
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a train moves at a constant speed. it can travel 150 miles in 2 1/2 hours. how long will it take for the train to travel 360 miles
Answer:
6 hours
Step-by-step explanation:
It travels 150 miles in 2.5 hours. 150 ÷ 2.5 = 60. 360 ÷60 = 6
Answer:
6 hours
Step-by-step explanation:
Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by
h(t) = −16t2 + 32t + 2, 0 ≤ t ≤ 2.118.
If Saul's outstretched arms are 16 feet above the ground, will the orange ever be high enough so that he can catch it?
a. No. The orange will reach a maximum height of 4 feet.
b. Yes. The orange will reach a maximum height of 18 feet.
c. There is not enough information given to answer the question.
d. No. The orange will reach a maximum height of 2 feet.
e. Yes. The orange will reach a maximum height of 36 feet.
Answer:
Yes, the orange will be high enough so
that he can catch it because maximum height
attained if 20 ft.
Step-by-step explanation:
Find the slope of the line passing through the points (-8,3) and (-8,-6)
Answer:
-9/0
Step-by-step explanation:
(x1, y1) and (x2, y1)
(-8, 3) and (-8,-6)
slope/m = y2 - y1 / x2 -x1
= -6 -3 / -8 -(-8)
= -6 -3 / -8 + 8
= -9 / 0
Pls help im very tired and exhausted
Answer:
C that's right
I'm not wrong
Step-by-step explanation:
correct me if I'm wrong
M=-1, b=2 write an equation of a line with the given slope m and y- intercept b
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 1 and b = 2 , then
y = - x + 2 ← equation of line
How do you write 19/25 as a percentage?
Answer:
76%
Step-by-step explanation:
25*4=100
19*4=76
Please help I will give brainliest
Answer: It goes 1/2 up each time
if a child ticket is $5.20 and adult tickets are $9.90 and the total sale is $859.00 if there is 120 tickets total how many children tickets would there be
Answer:
11
Step-by-step explanation:
What is 36:216 simplified?
Answer : 1/6
Explanation : If 216 is divided by 36, you will get your answer 1/6.
Help me with this question pls
Answer:
y=-0.25x+2
Step-by-step explanation:
the slope is down one over 4, or -0.25. The y intercept is 2, so b is +2
A marketing analyst runs a bivariate regression model to forecast sales at a retail store based on advertising. Her model returns the following parameter estimates: b0: 145.7 b1: 99.1 Standard Error: 72.37 She wished to forecast sales for a store where advertising equals 163. What is the forecasted standard deviation of the sales distribution for this store
Answer:
yes sir
Step-by-step explanation:
6.8py
What is the slope and the y-intercept of the graph of y = 8/9x - 8
You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to pull out each
month, if you want to be able to take withdrawals for 20 years?
9514 1404 393
Answer:
$4127
Step-by-step explanation:
The amortization formula is good for finding this value.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where P is the amount invested at rate r for t years.
A = $600,000(0.055/12)/(1 -(1 +0.055/12)^(-12·20)) = $4127.32
You will be able to withdraw $4127 monthly for 20 years.
Use a coordinate plane to create a rectangular park that has one corner at (−412, 312) and a perimeter of 30 units. Label the coordinates of each corner of the park. Then plot points with mixed number coordinates inside the park to represent a swing set, a slide, and a bench. Plot the slide farthest from the x-axis and the bench closest to the x-axis. What are the coordinates of the points you plotted?
A rectangle has four sides, where the opposite sides are equal
The possible coordinates are: (-4.5, 3.5), (-4.5,10.5), (3.5,3.5) and (3.5,10.5)
The coordinate point is given as:
[tex]\mathbf{(x,y) = (-4\frac12,3\frac12)}[/tex]
Express as decimal
[tex]\mathbf{(x,y) = (-4.5,3.5)}[/tex]
The perimeter is said to be 30 units.
So, we have:
[tex]\mathbf{P = 2(L + W)}[/tex]
This gives
[tex]\mathbf{2(L + W) = 30}[/tex]
Divide through by 2
[tex]\mathbf{L + W = 15}[/tex]
This means that the sum of the dimensions is 15 units.
So, we can assume that:
Length = 8
Width = 7
So, the other coordinates are calculated as follows:
[tex]\mathbf{(x,y) = (-4.5,3.5+7) = (-4.5,10.5)}[/tex]
[tex]\mathbf{(x,y) = (-4.5 + 8,3.5) = (3.5,3.5)}[/tex]
[tex]\mathbf{(x,y) = (-4.5+8,3.5+7) = (3.5,10.5)}[/tex]
So, the possible coordinates are: (-4.5, 3.5), (-4.5,10.5), (3.5,3.5) and (3.5,10.5)
See attachment for the graph of the rectangle
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One metal alloy is 25% copper, while another is 50% copper. How much of each alloy should be used to make 1500g of metal alloy that is 40% copper?
Answer:
400g
Step-by-step explanation:
If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height, then find the ratio of the curved surface areas of the new cylinder to that of the original cylinder.
Given info:-If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height.
Find the ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder ?
Explanation:-
Let the radius of the right circular cylinder be r units
Let the radius of the right circular cylinder be h units
Curved Surface Area of the original right circular cylinder = 2πrh sq.units ----(i)
If the radius of the right circular cylinder is doubled then the radius of the new cylinder = 2r units
The height of the new right circular cylinder
= (1/4)×h units
⇛ h/4 units
Curved Surface Area of the new cylinder
= 2π(2r)(h/4) sq.units
⇛ 4πrh/4 sq.units
⇛ πrh sq.units --------(ii)
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder
⇛ πrh : 2πrh
⇛ πrh / 2πrh
⇛ 1/2
⇛ 1:2
Therefore the ratio = 1:2
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder is 1:2
Kevin plans to retire in 30 years, and he plans to save up $250,000 for retirement. He has two options
• Plan 1: compounded monthly with an APR of 3.3%
• Plan 2: compounded quarterly with an APR of 3.5%
Compare these two options to see which one is more beneficial for Kevin. When you make the comparison,
you should at least calculate
1. the amount he needs to deposit each time period
2. the total interest accrued
The rate of growth of the amount invested with time in Plan 1 is slightly higher than the amount invested in Plan 2.
The option most beneficial to Kevin by comparison is Plan 1Reasons:
The number of years for the investment = 30 years
The amount he plans to save = $250,000
The investment plan options are;
Plan 1: Compounded monthly investment with APR, r = 3.5%
The formula for monthly contributions is presented as follows;
[tex]\displaystyle FV = \mathbf{\frac{PMT \cdot \left( 1 + \frac{r}{n}\right)^{n\cdot t} - 1}{\frac{r}{n} }}[/tex]
Which gives;
[tex]\displaystyle 250,000 = \mathbf{\frac{PMT \cdot \left( 1 + \frac{0.033}{12}\right)^{360} - 1}{\frac{0.033}{12} }}[/tex]
Solving gives;
The amount he needs to deposit each month, PMT ≈ $256.18The total deposit = 360 × $256.18 = $92,224.2
Total interest accrued = $250,000 - $92,224.2 ≈ $157,775.78Plan 2: Compounded quarterly, with APR, r = 3.3
Which gives;
[tex]\displaystyle 250,000 = \mathbf{\frac{PQT \cdot \left( 1 + \frac{0.035}{4}\right)^{120} - 1}{\frac{0.033}{4} }}[/tex]
The amount he needs to deposit each quarter ≈ $769.34The total deposit = $769.34 × 120 = $92,321.3336
Total interest accrued = $250,000 - $92,321.3336 ≈ $157,678.67
The total interest accrued by investing in plan 1 which is approximately
$157,775.78 is larger than the interest accrued on Plan 2 which is
approximately $157,678.67
The option most beneficial to Kevin is Plan 1, due to the higher total interest accruedLearn more here:
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