Answer:
21%
Step-by-step explanation:
okay so 400 is your denominator, and 84 is your numerator, so divide 400 by 4 so you get 100, because your percentage should be out of 100. because you divided 400 by 4, you also have to do that for 84, giving you 21 out of 100. converted to a decimal its .21, or 21%
Final answer:
To find the percentage of seventh grade students who made honor roll, a proportion is used, yielding a result of 21 percent.
Explanation:
To calculate the percentage of seventh grade students who made honor roll, we can set up a proportion where 84 students is to 400 students as x percent is to 100 percent. The proportion can be written as 84/400 = x/100. To find x, we cross-multiply and solve for x.
First, cross-multiply: 84 * 100 = 400x. This gives us 8400 = 400x. Next, divide both sides of the equation by 400 to solve for x: 8400 / 400 = x. This results in x being equal to 21. Therefore, 21 percent of the seventh grade students made honor roll.
Simplify.
1 – 2u + u + 4
What is the mean of the following numbers?
5, 7, 2,9,5
Answer:5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
[tex] \frac{5 + 7 + 2 + 9 + 5}{5} = \frac{28}{5} = 5.6[/tex]
You are charged $16.7 in total for a meal. Assuming that the local
sales tax is 7.6%, what was the menu price of this item?
*How would I work this out I keep getting 15.43 but that’s not correct
Final answer:
To find the menu price of an item after a total charge of $16.7 with a 7.6% local sales tax, calculate the total sales tax amount and then deduct it from the total cost to obtain the menu price of $15.43.
Explanation:
To find the menu price of the item after being charged $16.7 in total for a meal with a 7.6% local sales tax:
Calculate the sales tax amount: 7.6% of $16.7 = $1.27
Subtract the sales tax from the total cost: $16.7 - $1.27 = $15.43
Therefore, the menu price of the item was $15.43. Make sure to round off correctly based on the question requirements.
C) 0.2(x + 5) + 1 = 7
Answer:
x = 25
Step-by-step explanation:
Given
0.2(x + 5) + 1 = 7 ( subtract 1 from both sides )
0.2(x + 5) = 6 ( divide both sides by 0.2 )
x + 5 = 30 ( subtract 5 from both sides )
x = 25
Which of the following are statistical questions? Select all.
A.When is your birthday?
B.What is the height of the Willis Tower in Chicago?
C.How many points did the basketball team score each game last season?
D.Do you have any pets?
E.What is the least amount of snow in one month last year?
F.What is the speed limit?
c and e because statistical questions can be answered by collecting data that can have variability.
WILL MARK BRAINLIEST
Write the equation to represent a line that contains the point (1, -7) and a slope of -4.
y =
Answer:
y= -4x - 3
Step-by-step explanation:
Total savings
Misumi started with $217 in her bank account. She deposits
$25.50 each week and never withdraws any money. What
expression can Misumi use to determine her account balance
after w weeks?
Answer:
y=$25.50w+$217
w=10 weeks
$25.5(10)+$217
$255+$217
$472=y
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1/4 an ounce per second. Diego starts with 20 ounces and drinks 2/3 an ounce per second. 1. How long will it take Lin and Diego to finish their milkshakes?
Answer:
Lin = 48 seconds
Diego = 30 seconds
Step-by-step explanation:
Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.
Mathematically speaking:
Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds
Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds
Feel free to ask for more if needed or if you did not understand something.
Lin = 48 seconds
Diego = 30 seconds
The calculation is as follows:Lin = 12 ounces ÷ (1/4) ounces/second = 12 ÷ (1/4) = 48 seconds
Diego = 20 ounces ÷ (2/3) ounces/second = 20 ÷ (2/3) = 30 seconds
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If answered correctly will give brainiest plz helpppppp!!!!!!
Answer:
50.29
Step-by-step explanation:
(25 1/7)/(22/7) = diameter
8 = diameter -->
4 = radius
4^2 pi = area
16pi=area
16*22/7 = area
352/7 = area
50.29 is (approx.) area
A cylinder has has a volume of 1884 cm cubed. Find the volume of a cone with the same radius and height as the cylinder.
Answer:
The volume of the cone with the same radius and height as the given cylinder is approximately [tex]\(459.325 \, \text{cm}^3\)[/tex].
Explanation:
To find the volume of a cone with the same radius and height as the given cylinder, we'll use the formula for the volume of a cone:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
Given that the cylinder has a volume of 1884 cm³, and the radius [tex](\(r\))[/tex] and height [tex](\(h\))[/tex] of the cone are the same as the cylinder, we can first find the radius and height of the cylinder.
The volume of the cylinder is given by:
[tex]\[ V_{\text{cylinder}} = \pi r^2 h \][/tex]
Given [tex]\(V_{\text{cylinder}} = 1884 \, \text{cm}^3\)[/tex], we can solve for [tex]\(r^2 h\)[/tex], the product of the square of the radius and the height:
[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]
Now, we need to find the radius and height of the cylinder. Since we're told that the cone has the same radius and height as the cylinder, we can use these values for the cone as well.
[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]
Given that [tex]\( r = h \)[/tex], we can substitute [tex]\(r\)[/tex] for [tex]\(h\)[/tex] to get:
[tex]\[ r^3 = \frac{1884}{\pi} \][/tex]
[tex]\[ r = \sqrt[3]{\frac{1884}{\pi}} \][/tex]
Now that we have the value of [tex]\(r\)[/tex], we can find the volume of the cone using the formula for the volume of a cone:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \sqrt[3]{\frac{1884}{\pi}} \right)^2 \left( \sqrt[3]{\frac{1884}{\pi}} \right) \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884}{\pi} \right)^{2/3} \left( \frac{1884}{\pi} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^2 \cdot 1884}{\pi^2} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^3}{\pi^2} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{671161856}{9.869604401} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \left( 67968372.82 \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \cdot 438.327 \][/tex]
[tex]\[ V_{\text{cone}} \approx 459.325 \, \text{cm}^3 \][/tex]
Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction
Answer:
it's a
Step-by-step explanation:
Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.
Explanation:The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 = sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.
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A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 19600?
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
Step-by-step explanation:
The given is,
A person invests 9000 dollars in a bank
The bank pays 4.25% interest compounded daily
Future amount $19600
Step:1
Formula to calculate the future investment with compounded daily,
[tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)
Where, A - Future amount
P - Initial investment
r - Interested rate
n - No.of times for a year
t - No.of years
Step:2
From the given values,
A = $ 19600
P = $ 9000
r = 4.25 %
n = 365 ( ∵ Compounded daily )
Equation (1) becomes,
[tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]
[tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]
[tex]2.177778=(1.000116438)^{365t}[/tex]
( Take log on both sides )
[tex]log 2.17778= log (1.000116438)^{365t}[/tex]
[tex]log 2.17778=( 365t)log (1.000116438)[/tex]
Substitute the log values,
[tex]0.338014 = (365t)(0.000050565)[/tex]
[tex]\frac{0.338014}{0.000050565}= 365t[/tex]
[tex]6684.6842 = 365t[/tex]
[tex]t = \frac{6684.6842}{365}[/tex]
= 18.314
≅ 18 years
No.of years, t = 18 years
Result:
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
It will take approximately 18.4years for the person to make 19600
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:
A is the amount
P is the amount invested
n is the compounding amount
t is the time taken
Given the following parameters
A = 19600
P = 9000
r = 4.25% = 0.0425
n = 365 (compounded daily)
Substitute the given parameters into the formula to get the time "t"
[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]
Hence it will take approximately 18.4years for the person to make 19600
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. The equation d + 6400 = 3/1.3 x 10". 42
relates the distance d in kilometers of a
certain GPS satellite above the surface of
the Earth to the number of hours t it takes
the satellite to complete one orbit. The
average distance of this satellite above the
surface of the Earth is 20, 100 kilometers.
To the nearest hour, how long does it
take the GPS satellite to complete one
orbit of the Earth?
The satellite's speed is approximately 45,216 kilometers per hour.
Calculating the Satellite's Speed
To find the satellite's speed in kilometers per hour, we can follow these steps:
1. Calculate the total distance traveled in one orbit:
The satellite's orbital distance is the circumference of its circular orbit around the Earth.
Circumference = 2 * π * radius
where:
π (pi) is a mathematical constant approximately equal to 3.14159
radius = distance from the satellite to the Earth's center = 6400 km + 2000 km = 8400 km
2. Calculate the orbital period in seconds:
We know the orbital period is 12 hours, but we need it in seconds for our calculations.
Convert hours to seconds: 12 hours * 60 minutes/hour * 60 seconds/minute = 43,200 seconds
3. Calculate the speed:
Speed = distance / time
Speed = total distance / orbital period
Speed = (2 * π * radius) / orbital period
Speed = (2 * 3.14159 * 8400 km) / 43,200 seconds
Speed ≈ 12.56 km/s
4. Convert speed to kilometers per hour:
Speed = 12.56 km/s * 3600 seconds/hour = 45,216 km/hr
Therefore, the satellite's speed is approximately 45,216 kilometers per hour.
The probable question can be: A satellite has recently been placed in a nearby circular orbit 2000 kilometers above the earth surface. Given that the radius of the earth is approximately 6400 kilometers and that the satellite completes its orbit in 12 hours, CALCULATE THE SPEED OF THE SATELLITE IN KILOMETERS PER HOUR.
A bag contains white marbles and blue marbles, 54 in total. The number of white marbles is 1 less than 4 times the number of blue marbles. How many white marbles are there?
Answer: There are 43 white marbles.
Step-by-step explanation:
t = total number of marbles = 54
w = white marbles = 4b - 1
b = blue marbles
54 = b + (4b - 1)
b + 4b = 5b
54 = 5b - 1
+1
55 = 5b
/5
11 = b
There are 11 blue marbles.
4(11) - 1
44 - 1 = 43
43 + 11 = 54, therefore our solutions are correct.
Answer:
43
Step-by-step explanation:
W = 4B - 1
W + B = 54
4B - 1 + B = 54
5B = 55
B = 11
W = 4(11) - 1
W = 43
what's the least common denominator of 5/6 2/3 and 3/5?
Answer:
30
Step-by-step explanation:
6*5= 30
3*10=30
5*6=30
Can someone do 11??? Please help I don’t want to fail my class
Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
Evaluate:
© 20
© 20.8
O 24
DONE
Answer:
24
Step-by-step explanation:
1. 24
2. 0
3. a [4.9] and [3.1] and c [-6] and [-6]
4. edge answer: The statement is not true for all real numbers. It is only true for decimal or fractional values of x . If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1. Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
5. edge answer: There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are on the right.
6. all real numbers
7. all multiples of 4
8. multiples of 8 greater than 0
9. 3
10. real numbers ≥ 0
11. integers ≥ 0
12. f(x)=2.50[x-1]
here's your reminder to fix your posture (you know you're slouching, that'll hurt your back when you're old lol) and go get some water! hydration is best because your body uses it to regulate body temperature, keep joints lubricated, prevent infections, deliver nutrients to cells, and keep organs functioning properly. being well-hydrated also improves sleep quality, cognition, and mood! also, if you don't drink water for 3-21 days (depends on age and body and stuff) you'll die. so there's that too.
summary of that ^ fix your posture and drink some water <3
Factor as the product of two binomials.
x^2 + 6x + 9 =
Answer:
(x + 3) (x + 3)
Step-by-step explanation:
This is because if you solve that, it would be x² + 3x + 3x + 9
Therefore it would equal x² + 6x + 9
Answer:
I need help on this one to its hard
Factor the following and remember to factor out any common factors first.
x^2+8x+15
Enter the factors separated by semicolons. ( ; )
Answer:
(x+5) (x+3)
Step-by-step explanation:
x^2+8x+15
What two numbers multiply to 15 and add to 8
5*3 = 15
5+3 = 8
(x+5) (x+3)
HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.
In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.
A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.
By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:
Ray AC
Ray CA.
Complete Question:
Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
Translate this sentence into an algebraic inequality.x divided by the quantity y minus 9 is 18 or more.A.B.C.D.
Answer:
x/y-9 is grater than or equal to 18
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
x
___ ≥ 18
y-9
Tried my best to write it out like it would show it written out.
Find the area of a circle with a diameter of 16.Answer as a decimal
Answer:
201.06
Step-by-step explanation:
This is because the formula of the area of a circle is A=(pi)(r) squared
Since the radius if half of the diameter, the radius would then be 8.
8 squared, or 8 x 8 = 64.
64 times pi (64 x 3.14159)= 201.06
Ryan would like to save 15% of his take-home pay towards retirement. How much should
he save each month if he makes $5,000 each month?
$750
$1125
$75
$75,000
15%=0,15
5000×0,15=750$
Answer: He should save $750
If a car has already traveled 10 miles and then continues for
another 6 hours at a steady rate of 30 miles per hour, how
many total miles will it have traveled?
miles
Answer:
190
Step-by-step explanation:
PLEASE MARK BRAINLY
What is the y-intercept in the equation “y=4x-3”?
Please help me. You must show all work
Answer:
21
Step-by-step explanation:
00:00
In 1 hour, 32 cars pass through a particular intersection. At the same rate how long would it take for 96 cars to pass through the intersection?
A 2 hours
B. 3 hours
C
8 hours
D. 16 hours
Answer:
b,3 hours
Step-by-step explanation:
because you have 32 times 2 is 64 in 2 hours so that is not is so the times 8 is 256 in 8 hours so that is not it then times 16 is 512 so 512 in 16 hours that's not it so then times 3 it is 96 cars in 3 hours
What is the radius of a base?
3 units
6 units
10 units
| 12 units
Answer:
Didn't give enough information..
Step-by-step explanation:
need to see the circle if need help ill give answer.
11. An amusement park charges $45 per person for admission. A season pass
costs $112 per person.
a. Write the first five terms of an arithmetic sequence that represents the
total cost of admission for the number of visits in a season.
b. How many times does a person have to visit the park for a season pass
to be the better deal? Explain.
To represent the total cost of admission for the number of visits in a season, an arithmetic sequence can be created with a common difference of $45. The cost of admission for the first visit is $45, and the sequence can be extended to five terms. To determine when a season pass becomes the better deal, compare the total cost of admission with the cost of a season pass. A person would have to visit the park at least 3 times for a season pass to be the better deal.
Explanation:a. To represent the total cost of admission for the number of visits in a season, we can create an arithmetic sequence. The common difference will be the cost of admission each time a person visits the park, which is $45. The first term can be the cost of admission for the first visit, which is also $45. So, the arithmetic sequence will be:
Total: $45Total: $90Total: $135Total: $180Total: $225b. To find out how many times a person has to visit the park for a season pass to be the better deal, we need to compare the total cost of admission for the number of visits with the cost of a season pass. In this case, the season pass costs $112 per person, so we need to find the number of visits that would equal or exceed the cost of a season pass. From the arithmetic sequence we created in part a, we can see that a person would have to visit the park at least 3 times for the total cost of admission to equal or exceed the cost of a season pass. Therefore, a person would have to visit the park at least 3 times for a season pass to be the better deal.
Estimate a 15% tip on a dinner bill of 31.51 by first rounding the bill amount to the nearest ten dollars.
Answer: The estimated 15% tip would be $4.50.
Step-by-step explanation: Basically, first you will need to round the bill amount, $31.51 to the nearest ten dollars. 31.51 rounded to the nearest ten dollars is $30. Next, you will need to find the estimated tip amount. To do this multiply $30 by the tip 15%. Before you can find the tip amount, you will need to covert 15% to a decimal. To convert 15% to a decimal, divide 15 by 100 to get 0.15. Now, you can multiply 30 by 0.15 to get 4.50. So, $4.50 would be the tip if $31.51 was rounded to the nearest ten dollars.