Answer:
= 2/3 , 5/7 , 16/21
Step-by-step explanation:
LCM = 21
LCM ÷ denominator x numerator
2/3 , 5/7 , 16/21
= 14/21 , 15/21 , 16/21
= 2/3 , 5/7 , 16/21
10% of 5000 is......
And 5% of 5000 is.....
Step-by-step explanation:
• 10% of 5000
[tex] = 10\% \times 5000 \\ = \frac{10}{100} \times 5000 \\ = 10 \times 50 \\ = 500[/tex]
So, 10% of 5000 is 500
• 5% of 5000
[tex] = 5\% \times 5000 \\ = \frac{5}{100} \times 5000 \\ = 5 \times 50 \\ = 250[/tex]
So, 5% of 5000 is 250
10% of 5000 is 500, and 5% of 5000 is 250. These calculations are done by converting the percentages into decimals and then multiplying by the total amount.
Write the percentage as a decimal: 10% = 0.10.Multiply the decimal by the total amount: 0.10 * 5000 = 500.Therefore, 10% of 5000 is 500.
To calculate 5% of 5000, you can take half of the 10% value or multiply 5000 by 0.05:
Write the percentage as a decimal: 5% = 0.05.Multiply the decimal by the total amount: 0.05 * 5000 = 250.Therefore, 5% of 5000 is 250.
Which equation matches the table of values?
Leonard makes a $3000 deposit for 15 years at a simple interest rate of 3%. What is the amount of interest earned?
Answer:
Options?
Step-by-step explanation:
Answer:
1350
Step-by-step explanation:
The formula says
Interest earned=deposited amount ×interest rate × time
Interest earned=3,000×0.03×15=1350
Why does it make sense in this situation that the
function has this horizontal asymptote?
The average cost per person is always
greater than $630 because of the fee for the
tour guide.
The average cost per person is always less
than $630 as long as more than one person
goes on the vacation.
The average cost per person equals $630
after a certain number of people go on
vacation.
Answer:
A:
The average cost per person is always greater than $630 because of the fee for the tour guide.
The average cost per person is always greater than $630 because of the fee for the tour guide.
What is a function?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
How do you write a function?You write functions with the function name followed by the dependent variable.
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which of these expressions equal 15 when x = 1/2 and y = 3. Choose all that apply
Answer:
WHERES THE PIC??
Step-by-step explanation:
Answer:
Btw I got this for home work.
Step-by-step explanation:
Câte diagonale are un poligon cu 5 laturi, dar cu 6 laturi?
Your question isn't clear. But I infer this is the clear rendering of it;
How many diagonals does a polygon have with 5 sides, but with 6 sides?
Answer:
a. For 5 sides= 5
b. For 6 sides= 9
Step-by-step explanation:
Remember, this is the formula to calculate the number of diagonals of a polygon;
n (n-3) / 2 where n is the sides.
Thus,
for 5 sides= 5 (5-3) /2
= 5 (2) /2 = 10/2= 5
for 6 sides= 6 (6-3) /2
= 6 (3) /2 = 18/2= 9
what is 4a^2 +1/4a^2 if 2a+1/2a = 8
Answer:
after cross multiplying is when u get 5a=16....then u divide by 5 throughout...also its best to convert 3.2 into fraction since the question is in fraction.....but whichever is still correct
hope its understood
A Ferris wheel can accommodate 35 people in 25 minutes. How many people can ride that Ferris wheel in 4 hours? What is the rate per hour? Please I need help
Answer:
336
Step-by-step explanation:
Number of people divide by minutes
35/25 =1.4
Then Change the 4 Hours to minutes.
Knowing that there 1 Hour = 60 Minutes
Thus, 4 x 60 = 240
Then 1.4 x 240 = 336
Hence, 336 people can ride that Ferris wheel in 4 hours.
[RevyBreeze]
Solve for X Tysm!! I need help ASAP
X-4/3 <= 5
Multiply both sides by 3:
X-4 <= 15
Add 4 to both sides:
X <= 19
The answer is the third one.
Carmen simplified the expression (4y+8x+6)+25+(4x-6y+7) The coefficient of the variable y In her simplified answer is
Answer:
Step-by-step explanation:
(4y + 8x + 6) + 25 + (4x - 6y + 7) =4y + 8x + 6 + 25 + 4x - 6y + 7
= 4y -6y + 8x + 4x + 6 + 25 + 7
= -2y + 12x + 38
Coefficient of y = -2
Caleb went to Kroger and spent $83.47 on groceries. He had a coupon for $1.99 off bottled water and $0.89 off organic strawberries. How much did Caleb spend at Kroger?
Answer:
$86.35
Step-by-step explanation:
Total amount he spent at Kroger
= $83.47 on groceries. +coupon for $1.99 off bottled water + $0.89 off organic strawberries
= 83.47+0.89+1.99
= $86.35
Final answer:
After applying coupons for bottled water and organic strawberries, Caleb spent a total of $80.59 at Kroger. The discounts of $1.99 and $0.89 were subtracted from the initial spend of $83.47.
Explanation:
Caleb went to Kroger and initially spent $83.47 on groceries. He had two coupons: one for $1.99 off bottled water and another for $0.89 off organic strawberries. To calculate how much Caleb spent after using his coupons, we need to subtract the value of the coupons from the initial amount.
First, we calculate the total discount by adding the two coupon values:
$1.99 for bottled water
$0.89 for organic strawberries
Total discount = $1.99 + $0.89 = $2.88.
Then, we subtract this total discount from the initial spend:
$83.47 - $2.88 = $80.59
Therefore, Caleb spent $80.59 at Kroger after applying his coupons.
solve 1/2n + 3 < 5 ??
Answer:
n<4
Step-by-step explanation:
Answer:
[tex]n < 4[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} n + 3 < 5 \\ subtract \: 3 \: from \: both \: sides \\ \\ \frac{1}{2} n < 2 \\ divide \: both \: sides \: by \: \frac{1}{2} \\ \\ n < 4[/tex]
Eff scored a 23/25 on his math test, Maria scored 21/24 on her math test and Jake scored 17/20 on his math test. Who had the highest score? Explain how you know.
Answer:
Eff
Step-by-step explanation:
Fraction is a part of a whole, telling us how many parts of a whole we have. It can be converted to percentage or decimal.
Eff scored a 23/25 on his math test. Converting to percentage, eff score = 23/25 * 100% = 92%
Maria scored 21/24 on her math test. Converting to percentage:
Maria score = 21/24 * 100% = 87.5%
Jake scored 17/20 on his math test, converting to percentage:
Jake score = 17/20 * 100% = 85%
The person with the highest score has the highest percentage which is Eff with 92%.
Answer:
Eff had the highest score.
Step-by-step explanation:
The approach to determine who get the same score is converting each fraction to an arbitrary scale, which is 100 for this problem. Now, the conversions are presented below:
Eff
[tex]x = \frac{23}{25}\times 100[/tex]
[tex]x = 92[/tex]
Maria
[tex]x = \frac{21}{24}\times 100[/tex]
[tex]x = 87.5[/tex]
Jake
[tex]x = \frac{17}{20}\times 100[/tex]
[tex]x = 85[/tex]
Eff had the highest score.
Pete is a very good student . The probability that he studies for his test and then passes it is 7/10 If the probability that Pete studies is 7/8 find the probability that Pete passes his test? given that he studied.
Answer:
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Step-by-step explanation:
Let the event that Pete studies be S.
Let the event that Pete passes the test be P.
The probability that he studies for his test and then passes it is P(S n P) = 7/10
The probability that Pete studies is P(S) = 7/8
The probability that Pete passes his test given that he studied = P(P|S)
The conditional probability, P(A|B) is given mathematically as
P(A|B) = P(A n B) ÷ P(B)
So, the required probability, P(P|S) will be
P(P|S) = P(P n S) ÷ P(S)
P(P n S) = P(S n P) = (7/10)
P(S) = (7/8)
P(P|S) = P(P n S) ÷ P(S)
= (7/10) ÷ (7/8)
= (7/10) × (8/7)
= (8/10) = (4/5) = 0.80
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Hope this Helps!!!
In how many ways can the first 4 guests arrive at a party if 15 guests have been invited.
Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
4 guests from a set of 15. So
[tex]P_{(15,4)} = \frac{15!}{(15-4)!} = 32760[/tex]
The first 4 guests can arrive in 32,760 ways.
Answer:
the first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
how many ways can the first 4 guests arrive at a party if 15 guests have been invited.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
4 guests from a set of 15
P(15,4) = 15 * 14 * 13 * 12
= 32760
Therefore, the first 4 guests can arrive in 32,760 ways.
What is the missing dimension of the reduced rectangle if the original rectangle is 17/8 by 11/6 and the reduced rectangle is 17/20 by x
Answer:
11/15
Step-by-step explanation:
Answer:
11/15
Step-by-step explanation:
Have a good day! <33333
Help please.........
Answer:
37
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:
[tex]\cos 64.2^{\circ}=\dfrac{x}{85}[/tex]
[tex]x\approx 37[/tex] units
Hope this helps!
What is a universal set
Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
Answer:
A set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
What is the decimal form of 19/20
Answer: 0.95 or 95%
Step-by-step explanation:
Answer:
0.95
Step-by-step explanation:
Please answer CORRECTLY !!! Will mark brainliest !!!
Answer:
2
いたち うちあ
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
f(x) = 5x-3
Let x = 5
f(5) = 5*5-3
f(5) = 25-3
= 22
Pat earns 4% in his bank account each
year. He has $2,400 in his account. How
much will he have in 5 years if he does not
make any more deposits?
A. $12,480.00
B. $12,907.78
C. $2,919.97
D. $2,457.60
Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear? 1/3, -5/3, -2/5 1/2, 3, 5 -1, 1/2, -3/5 6, -5/2, 7/4
Answer:
6, -5/2, 7/4
Step-by-step explanation:
The required slope that shows given points are not collinear is 6, -5/2, and 7/4.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
m = (y₂ - y₁) / (x₂ - x₁) - - - - (1)
Substitute points C(1, 1), and D(3, -4) in the above equation 1,
m = -4 -1 / 3 - 1
m = -5/2
Substitute points D(3, -4) and E(5, 8) in the above equation 1,
m = 8 + 4 / 5 - 3
m = 12 / 2
m = 6
Substitute points C(1, 1) and E(5, 8) in the above equation 1,
m = 8 - 1 / 5 - 1
m = 7 / 4
Thus, the required slope that shows given points are not collinear are 6, -5/2, and 7/4.
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In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?
Answer: A
Step-by-step explanation:
The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.
Answer:
A
Step-by-step explanation:
Simplify (3xy^6)^2(x^3y^2)^4
answer
9x14y20
reason
The quantities x and y are proportional Find the constant of proportional (r) in the equation y=rx
x y
11 1 2/9
21 2 1/3
45 5
Answer:
It’s 7 or I could be 1/9
Step-by-step explanation:
A flagpole is 20 feet tall is casting a shadow that is 8.2 feet long at what angle is the sun hitting the ground
Answer:
∅ = 67.71°
Step-by-step explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°
Can somebody please tell me the answer to this
Answer:
x= 60°.
Step-by-step explanation:
To solve this problem, we must figure out the measure of the angles inside a hexagon. We can do this using the Interior Angle formula S = (n - 2)·180.
When we plug the number of sides a hexagon has into this equation, we get a total sum of 720.
To get the measure of each angle, we simply divide 720 by 6, giving us a measure of 120 per angle. Since we know the measure of the interior angles, we can solve for angles of the triangle using Supplementary angles.
180-120= 60°.
We know that the two angles of the triangle against the hexagon are 60°, but what about the other angle?
All you need to do is subtract the two angles from 180 to get you the angle of 'x'.
180-2(60°)= 60°.
There are 91 eighth-grade students signing up for electives.
Of these 91 students, 68 sign up for the art, 31 sign up for
band, and 18 signed up for both. 10 Students are not signing
up for either art or band.
Let S = {all eighth students}
Let A = {students in Art}
Let B = (students in band)
PLS HELP!! I’LL GIVE U 5 stars
Answer:
A). 81 students
B). 18 students
C). 10 students
Step-by-step explanation:
Let S = {All students of 8th grade} = 91
A = {Students in Art} = 68
B = {Students in band} = 31
Part A : A∪B = A + B - A∩B
A∪B = 68 + 31 - 18
A∪B = 81
A∪B represents the total number of students enrolled in art and band.
Part B : A∩B = 18
A∩B represents the number of common students enrolled in art and band.
Part C: ~(A∪B) = S - A∪B
~(A∪B) = 91 - 81
~(A∪B) = 10
~(A∪B) represents the number of students enrolled neither in art nor in band.
why is completing the square called 'completing the square'?
Answer:
I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.
Step-by-step explanation:
To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually.
Using the formula A = P (1 + r) Superscript t, what is the value of the account at the end of the fifth year?
A.$3,071.92
B.$3,122.00
C.$3,851.77
D.$4,140.65
Answer:
$3122.00
Step-by-step explanation:
Since we have been given that
Initial amount deposited into a savings account each year = $500
Rate of interest compounded annually = 7.5%
Number of years = 5 years
So, Amount in the account at the end of the fifth year would be:
A = P( 1+r )^5} - 1
500{(1+7.5/100) - 1 }÷ ( 7.5/100)} (1+7.5/100)
500{( 1.075^5 -1/0.075} × 1.075
500( 1.4356 -1/0.075) × 1.075
500( 0.4356/0.075) × 1.075
500(5.80839)×1.075
= 3122.01
$3122.00