The solution of a division problem is called a quotient.
The fountain in the middle of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?
A. 179 sq. ft.
B. 159 sq. ft.
C. 28 sq. ft.
D. 16 sq. ft
Answer:
A. 179 sq. ft.
Step-by-step explanation:
Area of walkway + fountain: (3.14)11^2=379.94 ft^2
Area of fountain: (3.14)8^2=200.96 ft^2
Area of walkway : 379.94-200.96=178.98 ft^2 which is also rounded to 179ft^2
Answer:
If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.
Step-by-step explanation:
The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.
Area of Circle = PI times Radius squared
Outer circle radius = (22 ft /2) = 11 ft
Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380
Inner circle radius = (16 ft / 2) = 8 ft
Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201
Area of sidewalk = 380 - 201 = 179
Estimate with Percents 34% of 99 show ur work
Answer:
Alright well simplify the expression
33.66 Why???
Well write the problem as a mathematical expression
34% 99
Convert 30% to decimal
0.34 and 99
Multiply 0.34 by 99 which gives you
33.66 Hope this helps have a nice day :)
Step-by-step explanation:
5 ( 9 + d ) when d = 3
Answer:
60
Step-by-step explanation:
5 ( 9 + d )
Let d=3 and substitute it in
5(9+3)
According to PEMDAS, we do what is in the parentheses first
5(12)
Now we multiply.
60
Answer:
60
Step-by-step explanation:
5 ( 9 + d )
Let d=3 and substitute it in
5(9+3)
According to PEMDAS, we do what is in the parentheses first
5(12)
Now we multiply.
60
Yesterday, Leila had d baseball cards. Today, she gave 10 away. Using , write an expression for the number of cards Leila has left.
Answer:
d - 10
Step-by-step explanation:
Because the amount of Leila’s baseball cards was d, subtract 10 from it to get Leila’s amount of baseball cards now.
d - 10
Answer:
d-10
Step-by-step explanation:
I don't know the word after "Using".
"Gave away" means having less, which means that you should subtract.
d-10
A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.
1/3
1
2√2/3
2√2
Answer:
[tex]cos\theta=1/3[/tex]
Step-by-step explanation:
The point at the terminal side of an acute angle is given by [tex](1, 2\sqrt{2} )[/tex].
That is,
[tex]x = 1[/tex] and [tex]y= 2\sqrt{2}[/tex] .
Let r be the length of line segment drawn from the origin to the point and is given by the formula:
[tex]r = \sqrt{x^{2} + y^{2}}[/tex]
Substituting the values of x and y into r,
[tex]r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}[/tex]
[tex]r = \sqrt{1 + 8}[/tex]
[tex]r = \sqrt{9}[/tex]
Thus, [tex]r=3[/tex]
Also, [tex]cos\theta[/tex] is given by:
[tex]cos\theta = x/r\\[/tex]
Substituting values of x and r,
[tex]cos\theta = 1/3\\[/tex]
the builder measures the perimeter of the foundation to be 425 ft. he must order steel beams to install around the perimeter of the foundation. steel must be ordered in meters. how many meters of steel should the builder order ?
Answer:
The builder should order 129.54 meters of steal.
Step-by-step explanation:
I just went on google and typed in "ft. to meters converter".
The builder should order approximately 129.548 meters of steel.
Explanation:To convert from feet to meters, we need to know the conversion factor. 1 foot is approximately equal to 0.3048 meters. So, we can use this conversion factor to convert the perimeter from feet to meters.
Perimeter in meters = Perimeter in feet * Conversion factor
Perimeter in meters = 425 ft * 0.3048 m/ft
Perimeter in meters = 129.548 m
The builder should order approximately 129.548 meters of steel.
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Need an answer thanks
I NEED HELP!
I'll give brainlyest to the person who's right
Answer:
distributive
Step-by-step explanation:
the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis
Answer:
I would say distributive property
Number 17 is B
Step-by-step explanation:
because your are multiplying 3 times 4 to get 12 and you are multiplying 3 times 3 to get 9
You add -3 to the first number to get the same exact number as the one to the right of -5
Solve: 2x^2 = 98 somebody please help me
Answer:
x= 7
Step-by-step explanation:
2x^2=98
\frac{2x^2}{2}=\frac{98}{2}
x^2=49
7^2=49
Final answer:
The solutions to the equation 2x^2 = 98 are x = 7 and x = -7, obtained by isolating the x^2 term and taking the square root of both sides.
Explanation:
To solve the equation 2x^2 = 98, we need to convert it into a standard quadratic equation by bringing the terms to one side of the equals sign, setting it equal to zero:
2x^2 - 98 = 0
Now, we will proceed to solve the quadratic equation. In this simple case, we can find the solutions by factoring or by taking square roots. First, we move the constant to the other side:
2x^2 = 98
Divide both sides by 2 to isolate the x^2 term:
x^2 = 49
To find x, we take the square root of both sides. Do not forget to consider both the positive and negative roots:
x = ±√49
x = ± 7
So the solutions to the equation 2x^2 = 98 are x = 7 and x = -7.
[tex]2(8x - 7)[/tex]
how to do this
This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.
How-to-do:
2(8x-7)
2(8x) - 2(7)
16x-14
if you mean to simplify :
2(8x−7)
=(2)(8x+−7)
=(2)(8x)+(2)(−7)
=16x−14
Write down any rational number between 4 and 6
One rational number between 4 and 6 would be 5.
Answer A and B remember to round your ans to the nearest hundredth!
Answer:
$4.11/hour
3.33 pages/minute
Step-by-step explanation:
37 / 9
= 4.11
10 / 3
= 3.33
simplify h(w)=6*2^(w-1)
Answer:
㏒₂(hw/6)=w-1
Answer: log₂[tex](\frac{h(n)}{6})[/tex] + 1 = n
Step-by-step explanation:
h(n) = 6 * 2ⁿ⁻¹
÷6 ÷6
[tex]\frac{h(n)}{6}[/tex] = 2ⁿ⁻¹
log₂[tex](\frac{h(n)}{6})[/tex] = log₂(2ⁿ⁻¹) →→log₂2 cancels out
log₂[tex](\frac{h(n)}{6})[/tex] = n - 1
log₂[tex](\frac{h(n)}{6})+1[/tex] = n
the total entry price of the top of the Eiffel Tower during the low season of 95 Euros for 4 students and five teachers the total entry price is 173 euros and for 6 students and 10 teachers. find total entry price of the Eiffel Tower for a group of three students and 4 teachers
Answer:
74.30
Step-by-step explanation:
Let s = entry price for a student
Let t = entry price for a teacher
4s +5t = 95
6s+10t = 173
I will use elimination to solve this problem.
Multiply the first equation by -2
-2(4s +5t) = -2*95
Distribute
-8s - 10t = -190
Add this equation to the second equation to eliminate t
-8s - 10t = -190
6s+10t = 173
----------------------
-2s = -17
Divide by -2
-2s/-2 = -17/-2
s = 8.50
Now we need to find t
4s +5t = 95
Substitute s=8.50
4(8.50) +5(t) = 95
34 +5t = 95
Subtract 34 from each side
34-34 +5t = 95-34
5t = 61
Divide by 5
5t/5 = 61/5
t = 12.20
We want to find the cost for 3 students and 4 teachers
3s+4t
3(8.50) + 4(12.20)
25.50 + 48.80
74.30
What is the total amount of sap the trees produced that day?
Answer:
It's 5 gallons! :3
Step-by-step explanation:
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The first attached graph showing the plotted point (0, 3) represents Ramon's initial step.
Step-by-step explanation:
We are given that Ramon is graphing the function f(x) = 3(4)x and that he begins by plotting the initial value.
So if we will input 1 for the value of x and then evaluate the plot point.
Therefore, we will get the point (0, 3) as the answer for this initial step.
Also, the first attached graph here showing the plotted point (0, 3) represents Ramon's initial step.
Answer:
The graph that represent the initial step in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4^{x})[/tex]
we know that
The initial value is the value of the function when the value of x is equal to zero
so
For [tex]x=0[/tex]
substitute in the function
[tex]f(x)=3(4^{0})=3(1)=3[/tex]
therefore
The initial value is the point [tex](0,3)[/tex]
The graph that represent the initial value in the attached figure
whats the answer to the problem ?
Answer:
could you give what the problem is
Step-by-step explanation:
can you please help????????
Answer:
9x - 8
Step-by-step explanation:
the perimeter is the sum of the sides, hence
perimeter = 5x - 2 + 3x + 4 + x - 10 ( collect like terms )
= 9x - 8 ← polynomial of degree 1
There are 2 connected questions:
Two students can eat 4 doughnuts in 6 minutes. At this rate how many doughnuts will be eaten by 8 students in 9 minutes?
8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?
PLEASE EXPLAIN CLEARLY!! I'M CONFUSED
Answer:
6 monkeys
Step-by-step explanation:
8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?
that means each monkey takes 1 min for one bananer so i think 6 monkeys
24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.
Given,
Two students can eat 4 doughnuts in 6 minutes.
On taking time constant (say 6 min), 2 student eat 4 doughnuts,
So 1 student eat 2 doughnuts each in 6 minutes.
So, in 1 minute doughnut eaten by 1 student will be [tex]\frac{2}{6}[/tex].
So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]
Finally, in 9 minute doughnut eaten by 8 student will be [tex](3\times 8=24)[/tex].
Hence 24 Doughnut will be eaten by 8 students in 9 minutes.
Similarly,
Since 8 monkeys eat 8 bananas in 8 mins.
On taking time constant, 8 monkeys eat 8 bananas.
So, 1 monkey eat 1 banana in 8 min.
So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.
So, 1 banana will be eaten by 8 monkeys in 1 min.
So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.
Finally, the number of monkeys required to eat 6 bananas in 6 min will be,
[tex]\dfrac{48}{6} =8[/tex].
Therefore 8 monkeys will eat 6 bananas in 6 mins.
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Solve for variable 2(3x+1)=11
Divide both sides by 2
3x + 1 = 11/2
Subtract 1 from both sides
3x = 11/2 - 1
Simplify 11/2 - 1 to 9/2
3x = 9/2
Divide both sides by 3
x = 9/2/3
Simplify 9/2/3 to 9/2 × 3
x = 9/2 × 3
Simplify 2 × 3 to 6
x = 9/6
Simplify 9/6 to 3/2
x = 3/2
PLEASE BE FAST !!!!!!
John bought 6 dumplings for $3.00. Let x represent the number of dumplings purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.
15 POINTS
Answer:
I think this is right but I may be wrong
Step-by-step explanation:
Answer:
Easy! Y=0.5x
Step-by-step explanation:
First, we have to find unit rate.
6/6 = 1
3.00 / 6 = 0.5
Y=0.5x
You start with $200 in a checking account each month you withdraw $20. Write an equation to model the amount of money in the checking account
y=the amount of money in the checking account
x=number of months
y=200-20x
Each bottle of apple juice costs $2.40 and each bottle of orange juice costs $2.20. If James has $50.80 and wants to buy 10 bottles of orange juice, how many bottles of apple juice can he buy using his remaining amount?
Answer:
12
Step-by-step explanation:
Orange juice: $2.20 per bottle.
10 bottles of orange juice cost 10 * $2.20 = $22.00.
We subtract the cost of the 10 bottles of orange juice from the amount of money he has to find out the amount he will have left for bottles of apple juice.
$50.80 - $22.00 = $28.80
After buying the 10 bottles of orange juice, he has $28.80 left.
We divide the money he has left for apple juice bottles by the price of one apple juice bottle to find out the number of apple juice bottles he can buy.
$28.80/$2.40 = 12
He can buy 12 bottles of apple juice.
Determine which function(s) is NOT a linear function. Select all that apply.
Answer:
x=3
Step-by-step explanation:
By vertical line test, x=3 fails because more than 2 points have the same x value. Functions must pass the vertical line test.
Answer:54x6432y=7644335
Step-by-step explanation:
tab;e times table
A cheese maker changes the temperature of her milk at a rate of negative -2 F Per minute what is the change in the temperature of the milk after 25 minutes
Answer:
-0.08 F
Step-by-step explanation:
Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier?
Answer:
The outlier slightly affected the median.
Step-by-step explanation:
Answer:
simple terms its A
Step-by-step explanation:
Shara brought 3 bags of chocolate candies for $1.25 each and 3 bags of gummy bears for $2.00 each. How much did she spend in all?
let M represent the money spent.
Equation:_____________
Another way of writing this is:
Shara spent_______ on candy.
Answer:
Equation: 3(1.25) + 3(2.00)=M
answer:9.75
Step-by-step explanation:
Stephen ran a race that was 5 miles long. He ran 1/4 of a mile in 1/8 of an hour. He ran the same pace the entire race. How long, in hours, did it take Stephen to run the entire race?
It took Stephen 2.5 hours to run the entire 5-mile race.
Explanation:To find out how long it took Stephen to run the entire race, we need to know how many 1/4 mile segments are present in a 5 mile race. We can do this by dividing the total distance by the distance ran in each segment. Since 1/4 mile is ran in 1/8 hour, we can divide 5 miles by 1/4 mile to find the total number of segments, which is 20. Multiplying 20 by 1/8 hour, we get the total time it took Stephen to run the race, which is 2.5 hours.
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What is the value of cd if c= 9 and d = 8
Answer:
72
Step-by-step explanation:
c=9
d=8
cd = c*d
substitute in what they give you the variables equal to
cd=9*8=72
Answer:
72
Step-by-step explanation:
Beginning at 8:30 A.M., tours of the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?