Answer:
The area of the cover for the hot tub must be:
38 square feet.Step-by-step explanation:
First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:
Area of a circle = pi * radius ^ 2 (you must know that the radius is half the diameter)Since the diameter is mentioned, it can be replaced in the formula:
Area of a circle = 3.14 * (3.5 feet) ^ 2 Area of a circle = 38,465 square feet. Approximately 38 square feet.Answer:
I believe it is 38
Step-by-step explanation:
HAVE A GOOD DAY AND GOD BLESS YOU
The length of a rectangle is three times width. If the perimeter of the rectangle is 40cm, find its length and width?
Answer:
width = 5
length = 15
Step-by-step explanation:
width: x
length : 3x
x + 3x + x + 3x = 40
8x = 40
x = 5
width = 5
length = 15
Jan walks 1/5 of a mile to the bus stop and then gets on the bus and rides 2/3 of a mile to school find the total distance Jan travels to school
Answer:
13/15
Step-by-step explanation:
Hope it is correct
Choose the correct solution and graph for the inequality-5y<_-15
For this case we have the following inequality:
[tex]-5y \leq-15[/tex]
To solve, we follow the steps below:
We divide between 5 on both sides of the inequality:
[tex]-y \leq \frac {-15} {5}\\-y \leq-3[/tex]
We multiply by -1 on both sides taking into account that the sense of inequality changes:
[tex]y \geq3[/tex]
Thus, the solution is given by all values of "y" greater than or equal to 3.
Answer:
[tex]y \geq3[/tex]
See attached image
The vertical axis represents the "y" axis
school starts at 8:55. one day katie was a quarter of an hour late. what time did she arrive
the answer is 9:10 hope it helps
Final answer:
Katie was a quarter of an hour, or 15 minutes, late to school which starts at 8:55 AM. So, she arrived at 9:10 AM.
Explanation:
If school starts at 8:55 AM and Katie was a quarter of an hour late, that means she was 15 minutes late because a quarter of an hour is 15 minutes (60 minutes divided by 4 equals 15 minutes).
To find out what time Katie arrived, we need to add 15 minutes to the starting time of school:
School starts: 8:55 AM
Time late: + 15 minutes
Time of arrival: 9:10 AM
So, Katie arrived at school at 9:10 AM.
21 divided by 14 and checking with Multiplication
Answer:
21 divided by 14 is 1.5
and
1.5 x 4 = 21
The calculated division of the numbers 21 divided by 14 is 3/2
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
21 divided by 14
When represented as an equation, we have
21 divided by 14 = 21/14
Divide 21 by 14
So, we have the following result
21 divided by 14 = 3/2
Using the above as a guide, we have the following:
the result is 3/2
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A biology test is worth 100 points and has 36 questions
Answer:
whats the question?
Step-by-step explanation:
A. 141
B. 138
C. 282
D. 69
Answer:
D
Step-by-step explanation:
The measure of x is calculated as
x = 0.5( arc CD - arc BD)
= 0.5(210 - 72) = 0.5 × 138 = 69 → D
Solve for x: the quantity of x plus 4 over 3 = 2. (1 point)
For this case we must solve the following equation:
[tex]\frac {x + 4} {3} = 2[/tex]
We follow the steps below:
Multiplying by 3 on both sides of the equation we have:
[tex]x + 4 = 3 * 2\\x + 4 = 6[/tex]
Subtracting 4 from both sides of the equation:
[tex]x = 6-4\\x = 2[/tex]
Thus, the solution of the equation is[tex]x = 2[/tex]
Answer:
[tex]x = 2[/tex]
A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have burritos and two have tacos, the bill will be $22.50. Find the price of each taco and burrito
Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
------------------
5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
-----------------------------
10x+25y=97.5
-10x-4y=-45
-----------------------
21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
The required price of the burrito is $3.50 and the price of the taco is $2.50.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's represent the price of a burrito b and the price of a taco t.
If two students have burritos, then the cost of the burritos is 2b.
If five students have tacos, then the cost of the tacos is 5t.
The total cost of the meal is 2b + 5t = $19.50.
Similarly, if five students have burritos, then the cost of the burritos is 5b.
If two students have tacos, then the cost of the tacos is 2t.
The total cost of the meal is 5b + 2t = $22.50.
We can set up a system of equations to solve for b and t:
2b + 5t = $19.50
5b + 2t = $22.50
We can solve this system using the elimination method. Multiplying the first equation by 5 and the second equation by 2, we get:
10b + 25t = 97.50
10b + 4t = 45.00
Subtracting the second equation from the first equation, we get:
21t = 52.50
t = $2.50
Substituting this value for t into the first equation, we get:
2b + 5 x $2.50 = $19.50
2b = $7
b = $3.50
Therefore, the price of a taco is $2.50 and the price of a burrito is $3.50.
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Stephan, Gavin and Jim share some sweets in the ratio 1:4:4. Stephen gets 13 sweets. How many more sweets does Gavin get over Stephen?
Final answer:
To find out how many more sweets Gavin gets over Stephan, we use the ratio 1:4:4, knowing that Stephan gets 13 sweets. Gavin, who has 4 times Stephan's amount, ends up with 52 sweets, which is 39 sweets more than Stephan.
Explanation:
To determine how many more sweets Gavin gets compared to Stephan, we need to use ratios. Since Stephan, Gavin, and Jim share sweets in the ratio 1:4:4, and Stephan gets 13 sweets, we can assign variables to the parts of the ratio to make this easier to solve. Let's assign 'x' to the value of one part, so Stephan gets 1x=13 sweets.
Since 1x is equal to 13, that means 4x is the amount Gavin gets. Now we calculate 4x, which is 4 [tex]\times[/tex] 13=52 sweets. To find out how many more sweets Gavin gets we subtract Stephan's 13 sweets from Gavin's 52 sweets to get the difference.
So, Gavin gets 52-13=39 sweets more than Stephan.
write an absolute value inequality that has 3 and -6 as two of its solutions
Final answer:
An absolute value inequality that includes 3 and -6 as solutions is |x + 1.5| ≤ 4.5. Both numbers satisfy the inequality when substituted for x.
Explanation:
To write an absolute value inequality that has 3 and -6 as two of its solutions, we must find an inequality such that both of these numbers satisfy the condition when their absolute values are considered. One such inequality is |x + 1.5| ≤ 4.5.
Let's verify the solutions:
For x = 3: |3 + 1.5| = |4.5| = 4.5, which is less than or equal to 4.5.
For x = -6: |-6 + 1.5| = |-4.5| = 4.5, which is also less than or equal to 4.5.
Therefore, the inequality |x + 1.5| ≤ 4.5 is a valid inequality that includes 3 and -6 as solutions.
Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2350. How long did each mechanic work?
Answer:
The first mechanic worked for 20 hours and the second mechanic worked for 5 hours
Step-by-step explanation:
Let f be the number of working hours of first mechanic
Let s be the number of working hours of second mechanic
Given that they both worked for a combined total of 25 hours
⇒f + s = 25 → equation 1
First mechanic charged $95 per hour and second mechanic charged $90 per hour and they both together charged $2350
⇒95f + 90s = 2350 → equation 2
Using equation 1 in equation 2:
95f + 90(25-f) = 2350
⇒95f + 2250 - 90f = 2350
⇒5f = 100
or f = 20 hours
⇒s = 25 - f ⇒ s = 5 hours
The first mechanic worked for 20 hours and the second mechanic worked for 5 hours
4 square meters is equivalent to how many square yards
Answer:
4.8sq. yards
Step-by-step explanation:
The perimeter of a basketball court is 90 meters and the length is 6 meters longer than twice the width. What are the length and width?
The length of basketball court is 32 meters and width is 13 meters.
Step-by-step explanation:
Perimeter = 90 meters
Let w be the width
Length = l = 2w + 6
As basketball court are in rectangular shapes, therefore,
Perimeter = 2(length+width)
[tex]90=2(2w+6+w)\\90=2(3w+6)\\90=6w+12\\90-12=6w\\6w=78[/tex]
Dividing both sides by 6;
[tex]\frac{6w}{6}=\frac{78}{6}\\w=13\ meters[/tex]
Length = 2w+6
[tex]l=2(13)+6\\l=26+6\\l=32\ meters[/tex]
The length of basketball court is 32 meters and width is 13 meters.
Keywords: perimeter, rectangles
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How much should you invest at 5% simple interest in order to have a balance of 1,200 in two and a half years
Answer:
We should invest 9600 .
Step-by-step explanation:
Interest received in Two and a half year = 1,200
So, Interest that should be received in a year = 1200×[tex]\frac{2}{5}[/tex]
= 480
Interest rate = 5%.
Let we had invested amount X.
Thus 5 % of X we will get in a year as interest
Which is [tex]\frac{5}{100}[/tex]×X = [tex]\frac{X}{20}[/tex].
It is also equal to 480 as calculated above,
So. X = 480×20 = 9600.
Thus,
We should invest 9600 .
Please help me and explain how you got the answer
Answer:
∠NQP = 74°
Step-by-step explanation:
NPQ is a triangle.
We know the sum of 3 angles of a triangle is 180 degrees. So we can write:
N + P + Q = 180
2x + 34 + 2x + 2 = 180
Now, we can solve for x:
[tex]2x + 34 + 2x + 2 = 180\\4x+36=180\\4x=180-36\\4x=144\\x=\frac{144}{4}\\x=36[/tex]
The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:
∠NQP = 2(36) + 2 = 74°
What is 4,479,621,002 rounded to the nearest ten million
The nearest ten million is 4,480,000,000.
Solve the following inequality. Show and explain your work
3(x-6)+2>5x-4
Answer:
x< (-6)
Step-by-step explanation:
If you have any questions about the way I solved it,don't hesitate to ask
Item 13
Factor out the coefficient of the variable.
The expression 14y+38 factored is
Answer:
2(7y+19)
Step-by-step explanation:
14y+38=2(7y+19)
a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?
$3 donated_____$120 spent
$1,000 donated__X=$40,000 spent
(1,000*120)/3= 40,000
Answer: The Customers have to spend $4000 in order to raise $1000 for the pet rescue program.
Step-by-step explanation:
Hi, to answer this question we have to write a proportion.
Proportion = money spent / money raised for the pet rescue program
For every $120 that customers spend, $3: 120/3
To raise $100 : x / 100
Where x is the money that customers spent to raise $100 for the pet rescue program.
Solving for x:
120/3 = x /100
(120/3)100=x
x =$4000
10. The area of Kaitlyn's square garden is 175 square feet. What is the measure of each side
of the garden to the nearest tenth? Support your answer.
Each side of garden measures 13.2 feet.
Step-by-step explanation:
Given,
Area of Kaitlyn's garden = 175 square feet
As the garden is in square shape, each side will have equal length.
Let,
a be the length of each side.
Area of square garden = A = a²
[tex]a^2=175[/tex]
Taking square roots on both sides
[tex]\sqrt{a^2}= \sqrt{175} \\a=13.22 \ feet[/tex]
Rounding off to nearest tenth,
Length of each side = 13.2 feet
Each side of garden measures 13.2 feet.
Keywords: area, square root
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What is 45 divided by 765
Answer:
.06 rounded to nearest hundreth
Step-by-step explanation:
Answer:
17 I think
Step-by-step explanation:
A company makes four different types of candles. The ratio of fragrance to wax for each type of candle is shown in the tables below.
Answer:
the answer is type 2
Step-by-step explanation:
ok so you first have to find the ratio of all of them and for type 1 it is 40 to 1 for type 2 it is 50 to 1 type 3 is 25 to 1 and type 4 is 30 to 1 so there for type two has the biggest ratio of fragrance to wax
The required table that has a higher ratio of fragrance to wax is type 2.
As given in the question, a company makes four different types of candles. The ratio of fragrance to wax for each type of candle is shown in the tables.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
For Type 1
The ratio of Fragrance to wax.
= 20 / 0.5 = 40 / 1
For Type 2
The ratio of Fragrance to wax.
= 150 / 3 = 50 / 1
For Type 3
The ratio of Fragrance to wax.
= 250 / 10 = 25
For Type 4
The ratio of Fragrance to wax.
= 30 / 1
Now,
50 > 40 > 30 > 25
Type 2 > type 1 > type 3 > type 4
Thus, the required table that has a higher ratio of fragrance to wax is type 2.
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Benford’s law states that the probability that a number in a set has a given leading digit, d, is
P(d) = log(d + 1) - log(d).
State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm. What is the probability that the number 1 is the leading digit? Explain.
Answer:
solutions
Step-by-step explanation:
use the quotient property to rewrite the expression.
write the difference of logs as the quotient log((d+1)/d).
substitute 1 for d to get log(2).
since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.
Answer:
Use the quotient property to rewrite the expression.
Write the difference of logs as the quotient log((d+1)/d).
Substitute 1 for d to get log(2).
Since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.
Step-by-step explanation:
This is 6 grade homework please help me
Answer:
what is the problem?
Step-by-step explanation:
Answer:
What work do you need help with tag a photo or write it out.
simplify 2.8-5.8n-3n+5
Answer: -8.8n + 7.8
Step-by-step explanation:
2.8 - 5.8n - 3n + 5
Add -5.8n and -3n to get -8.8n
Add 2.8 and 5 together to get 7.8
Answer:
Step-by-step explanation:
7.8-8.8n
Micheal reads books that have at
most 400 pages in them. He reads around 20 books a year. What is the greatest amount of pages Micheal could have read this year?
Help please!!!
Answer:
8000
Step-by-step explanation:
you multiply 20 and 400
Answer: He could read at most 8000 pages this year.
Which of the following linear equations matches the graph
y = 1/3 x
y = 3/2 x
y = 3x
y = 2x
y = 2/3 x
The only linear equation that matches the graph is: Option E: y = 2/3 x
What is the equation of the line?
The general form for the equation of a Line in slope intercept form is:
y = mx + c
Where:
m is slope
c is y-intercept
We can find the slope between two coordinates using the formula:
m = [tex]\frac{(y_{2} - y_{1}) }{(x_{2} - x_{1})}[/tex]
Using the given coordinates (-3, -2) and (3, 2), we have:
m = (2 - (-2))/(3 - (-3))
m = 4/6 = 2/3
The only equation with slope of 2/3 is Option E
Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.
Answer:
Δ MNO ≅ Δ PQR by ASA postulate
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.
Ethan says that the value of 40.7 is 10 times the value of 4.07 is be correct?
Answer:
He is correct
Step-by-step explanation:
multiplication and division are inverse operations so lets divide to see if he is correct
40.7/10=4.07
he is correct
Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.
According to Ethan, he assumed that the product of 10 and 4.07 is 40.7, we are to check if the calculation of Ethan is correct.
To do that, we will have to multiply 10 with 4.07 as shown below:
[tex]= 10 \times 4.07 \\= 10 \times \frac{407}{100}\\=\frac{4070}{100} \\=40.70[/tex]
Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.
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