Answer:
[tex]\%Tip = 13.04\%[/tex]
Step-by-step explanation:
Given
[tex]Tip= \$31.29[/tex]
[tex]Bill = \$208.60[/tex]
Required
Determine the percentage of the tip
First, we calculate the amount paid
[tex]Amount = Tip + Bill[/tex]
[tex]Amount = \$31.29 + \$208.60[/tex]
[tex]Amount = \$239.89[/tex]
The percentage of the tip is then calculated using:
[tex]\%Tip = \frac{Tip}{Amount} * 100\%[/tex]
[tex]\%Tip = \frac{31.29}{239.89} * 100\%[/tex]
[tex]\%Tip = \frac{31.29* 100}{239.89} \%[/tex]
[tex]\%Tip = \frac{3129}{239.89} \%[/tex]
[tex]\%Tip = 13.04\%[/tex]
what is the answer to : 1.3(4.9 + 6k)
Answer:
you'd get the expression 6.37+7.8k
A sector has an area of 50 ft sq, and a central angle of 45 degrees. Find the radius.
Answer:
Step-by-step explanation:
45° is 1/8 of a circle, so the area of the sector is 1/8 the area of the circle.
Area of circle = 8*50 = 400 sq ft
πr² = 400
r = √(400/π) = 20/√π ≈ 11.3 ft
Solve each single-step equation. Show your work. - 6 b + 2 < 56
Answer:
b > −9
Step-by-step explanation:
−6b+2<56
Step 1: Subtract 2 from both sides.
−6b+2−2<56−2
−6b<54
Step 2: Divide both sides by -6.
−6b −6 < 54 −6
b >−9
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
please help with this question!
Answer:
12
Step-by-step explanation:
pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer
If 7/8 gallon of soil contains 1/8 the amount of soil a landscaper needs to fill a hole completely how much soil does it take to fill the hole
Answer:
1 gallon
Step-by-step explanation:
PLS HELP !!! I need this question done quick
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
Answer:
(a. 7) (b. 51)
Step-by-step explanation:
A.
[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]
B.
[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]
(I don't know the numerical values)
What is the discounted price of an item that originally costs $75.00 and is receiving at 20% discount?
Answer:
15 US dollars
Step-by-step explanation:
what is the value of -3 1/2 x 2 1/2
Answer: −8 3 /4
Step-by-step explanation: (−3 1 /2 )(2 1 /2 )
(-7/2)(5/2)
−35 /4
−8 3 /4
hi any help would be useful in struggling! thank you
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU
Step-by-step explanation:
Can someone please help :!
Answer:
minimum
Step-by-step explanation:
30% of the students are absent from math class. If there are normally 30 students, how many are missing?
Which graph shows three points that represent equivalent ratios?
hurry plz
Answer:
it will be c because you see the points on the grid if its wrong my bad
Step-by-step explanation:
Please help me!! ......
Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
use square root property to solve for k
(k+5)= -24
Answer:
k= -29
Step-by-step explanation:
Match each percent with the corresponding decimal
0.5%
5%
50%
Answer:
well your first two are going to be 0.05 and the late one is 0.5
Step-by-step explanation:
hope this helps tell if wrong
How long will it take Anna to earn $51.00?
Answer:
Needs More Information
Step-by-step explanation:
A sum of two mixed numbers is given.
What is the missing number?
Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
Question 1 (1 point)
(07.03)
Evaluate log3 9. (1 point)
a
2
b
3
c
0.33
d
0.5
Question 2 (1 point)
(07.03)
Evaluate log8 12. (1 point)
a
0.84
b
0.67
c
1.50
d
1.19
Question 3 (1 point)
(07.03)
Evaluate ln 7. (1 point)
a
0.51
b
1.95
c
0.85
d
1.61
Question 4 (1 point)
(07.03)
Write log4 14 as a logarithm of base 3. (1 point)
a
log base 4 of 3 over log base 14 of 3
b
log base 14 of 3 over log base 4 of 3
c
log base 3 of 4 over log base 3 of 14
d
log base 3 of 14 over log base 3 of 4
Question 5 (1 point)
(07.03)
Write log6 5 as a logarithm of base 4. (1 point)
a
log base 4 of 5 over log base 4 of 6
b
log base 4 of 6 over log base 4 of 5
c
log base 5 of 4 over log base 6 of 4
d
log base 6 of 4 over log base 5 of 4
Question 6 (1 point)
(07.03)
Solve log4 (y − 9) + log4 3 = log4 81. (1 point)
a
y = 30
b
y = 36
c
y = 87
d
y = 108
Question 7 (1 point)
(07.03)
Simplify 5 log2 k − 8 log2 m + 10 log2 n. (1 point)
a
7 log2 (k − m + n)
b
7 log2kn over m
c
log250 kn over 8 m
d
log2k to the fifth power n to the tenth power over m to the eighth power
Question 8 (1 point)
(07.03)
Solve 2 log x = log 36. (1 point)
a
x = ±6
b
x = 6
c
x = 18
d
x = 72
Question 9 (1 point)
(07.03)
Solve 4 log12 2 + log12 x = log12 96. (1 point)
a
x = 88
b
x = 80
c
x = 12
d
x = 6
Question 10 (1 point)
(07.03)
Solve 2 log2 2 + 2 log2 6 − log2 3x = 3. (1 point)
a
x = 2
b
x = 6
c
x = 16
d
x = 18
Answer:
1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. bStep-by-step explanation:
Question 1
log3 9 = log 3 3² = 2Question 2
log8 12 = log 12/log 8 = 1.19Question 3
ln 7 = log 7 / log e = 1.95Question 4
log4 14 as a logarithm of base 3 log4 14 = log3 14/ log3 4Question 5
log6 5 as a logarithm of base 4 log6 5 = log4 5/ log4 6Question 6
log4 (y − 9) + log4 3 = log4 81log4 (3y - 27) = log4 813y - 27 = 813y = 108y = 36Question 7
5 log2 k − 8 log2 m + 10 log2 nlog2 k^5 - log2 m^8 + log2 n^10 =log2 (k^5n^10/m^8)Question 8
2 log x = log 36 log x^2 = log 36x^2 = 36x = √36x = ± 6Question 9
4 log12 2 + log12 x = log12 96 log12 16x = log12 9616x = 96x = 6Question 10
2 log2 2 + 2 log2 6 − log2 3x = 3log2 (4*36/3x) = 348/x = 2^348/x = 8x = 48/8x = 6What is the Domain and Range of this graph?
Answer:
domain: -3 ≤ x ≤ 3
range: -3 ≤ y ≤ 3
Step-by-step explanation:
x can only be from -3 to +3. That is what domain means.
y can only be -3 to +3. That is what range means.
A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 900. dP dt = 2900 1 + 0.25t Write an equation that gives the population at any time t. Then find the population when t = 2 days. (Round your answer to the nearest whole number.)
25x89 divided by 1/4
Answer:
8900
Step-by-step explanation:
25x89=2225
2225/(1/4)= 8900
Determine the MEDIAN of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16,
18, 21
15
13
14
21
Answer:
Step-by-step explanation:
Determining Median is super easy!
1. Order the numbers, in ascending order.
8, 11, 11, 12, 13, 15, 16, 16, 18, 21
2. Cross off one number from both ends until you reach the middle number, whether you're left with one or two.
11, 11, 12, 13, 15, 16, 16, 18
11, 12, 13, 15, 16, 16
12, 13, 15, 16
13, 15
3. Determine the average of these two numbers.
(13 + 15) / 2
28 / 2
14
The median for this set of data is 14.
P.S. the average only needs to be calculated when left with two numbers, if you are left with only one, that number is your answer!
Hope this helps :)
Answer:
The median of the following numbers is 14
Step-by-step explanation:
3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test
Answer:
0.812 = 81.2% probability that a randomly chosen chip will pass the test
Step-by-step explanation:
Over the long run, the fraction of bad chips produced by the process is 20%.
So 100 - 20 = 80% are good.
All good chips pass the test, while 6% of the bad chips(20%) also pass.
a) (4 points) What is the probability that a randomly chosen chip will pass the test
[tex]p = 0.8 + 0.06*0.2 = 0.812[/tex]
0.812 = 81.2% probability that a randomly chosen chip will pass the test
Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 6), B(8, 6), C(8, 10)
The circumcenter is
9514 1404 393
Answer:
(5, 8)
Step-by-step explanation:
The circumcenter of a right triangle is the midpoint of the hypotenuse.
O = (A +C)/2
O = ((2, 6) +(8, 10))/2 = (2+8, 6+10)/2
O = (5, 8)
The circumcenter is (5, 8).
Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?
Answer:
1/20
Step-by-step explanation:
1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.
1/5 X 1/4 = 1/20
Answer:
i got 1/20 as my answer
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.52
If a tree in a 1 in.: 2ft scale drawing is 10 inches tall, how tall is the actual tree?
Answer:
20 ft.
Step-by-step explanation:
You can solve this as a proportion:
[tex]\frac{1}{2} = \frac{10}{y}[/tex]
The y is equal to 20.
Hope it helps!
Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST HELP ME PLEASE
Answer:
there is a 1 to 15 relationship between miles and gallons
Step-by-step explanation: