Answer:
The final amount they will pay is $74.49
Step-by-step explanation:
59.36(Check)*0.19(19% tip rate)=11.27
59.36+11.27=70.62 Check+Tip
70.62(Check total)*0.055(5.5% tax)=3.87
70.62+3.87=74.49 Total check, tip & tax
NO LINKS!!!
Please help me with parts b and c.
9514 1404 393
Answer:
b. A × B = GCF(A, B) × LCM(A, B)
c. 15 = GCF × LCM / 20
Step-by-step explanation:
b. The products of the numbers in the table are 80, 108, 216, 45.
The products of the corresponding GCF and LCM are 80, 108, 216, 45.
Conjecture: the product of the numbers is equal to the product of the GCF and LCM.
__
c. GCF×LCM = 5×60 = 300 = A×B = 20×B
B = 300/20 = 15
The other number is 15, found by using the conjecture of part b.
_____
Additional commentIf you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:
A = (factors in common with B) × (factors unique to A)
B = (factors in common with A) × (factors unique to B)
The GCF, by definition, are (factors in common between A and B).
The LCM, by definition, is the product of unique factors:
(common factors) × (factors unique to A) × (factors unique to B)
__
Then the product of the LCM and the GCF is ...
GCF × LCM =
(factors in common) × ((factors in common) × (unique to A) × (unique to B))
Using the associative and commutative properties of multiplication, we can rearrange this product to be ...
((factors in common)×(unique to A)) × ((factors in common)×(unique to B))
= A × B
__
Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:
[unique to A (common] unique to B)
Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.
Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.
The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.
What is the result of the division?
2x^3-5x*4
—————-
x-3
Answer:
2x² + 6x + 13 remainder 43Step-by-step explanation:
Long division:
2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43
2x³ - 6x²
6x² - 5x
6x² - 18x
13x + 4
13x - 39
43
What is 6 x (6.3 + c)?
plss my auntie acting slow help
Answer:
37.8+6c
Step-by-step explanation:
6(6.3+c)
multiply 6 to both
37.8+6c
For each team, find the unit rate games per loss.
Answer:
Ой ну не знаю очень сложный вопрос
You give an 18% tip for a meal. What expression represents the total cost with tip?
Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities?
(a) at least one tie is too tight
(b) more than two ties are too tight
(c) no tie is too tight
(d) at least 13 ties are not too tight
Answer:
b) more than two ties are too tight
Step-by-step explanation:
20% of 15
15 = 100%
x = 20%
100x = 15 * 20
x = 300/100
x = 3
ps: I always wear my tie loose at any circumstance, guess I'll never be a good businessman with reduced blood flow to the brain =/
OMG I NEED HELP WITH THIS ANSWER RN
The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?
A.
Little Rock's temperature > Lincoln's temperature
B.
Little Rock's temperature = Lincoln's temperature
C.
Little Rock's temperature < Lincoln's temperature
Answer:
C) Little Rock’s temperature < Lincoln’s temperature
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
The answer would be C.
Little Rock's temperature is less than Lincoln's temperature.
66 < 82
64 is 20% of what number?
Answer:
320
Step-by-step explanation:
64 by 5 equals 320
Answer:
320
Step-by-step explanation:
Divide 64 by 0.2
The graph of a proportional relationship passes through the point (5, 2) .
What is the constant of proportionality of the relationship?
5
2
25
I don't know.
Well, 5 is like the point where it is, and 2 is the constant of proportionality.
Answer:
0.4
Step-by-step explanation:
2= slope *5 ,slope = 0.4
please help me with this sum I will mark you as braines t
Answer:
1.)1804
2.)1827
3.)2286
4.)1473
5.)6489
6.)3448
7.)1122
8.)5467
9.)4755
10.)1524
Step-by-step explanation:
hope it helps:)
What is the slope of the line shown on the grid?
Answer:
Answer is last option, -3.
Step-by-step explanation:
We know it's going to be a negative slope because the line is going down to the right, so it can't be eighther option 1 or 3.
Next it appears the line is going 3 units down and 1 unit to the right. So it will be written as -3/1 because of rise/run.
Hope this helps/makes sense :)
please help need this done by tomorrow thank you [PHOTO]
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Helpppppppp meeeeeeee
Answer:
Step-by-step explanation:
solution 1:
570 not man = 15% (cause 100% - 85%)
15% = 570
100% = w (for "whole package")
15w = 100 * 570
15w = 57000
w = 57000 / 15
w = 3800
solution 2:
15% = 570
85 = m (for "men)
15m = 570 * 85
15m = 48450
m = 48450 / 15
m = 3230
100% = 85% + 15%
100% = b (for "buch of people")
b = 3230 + 570
b = 3800
lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.
Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6
If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.
i wouldnt know since i dont like coffee
Hi i need help with this
Answer:
is there an equation for the problem?
Step-by-step explanation:
Answer:
11/24 pound
i think so right
please help me with this sum
Answer:
First column 107
Second Column 135
Third Column 104
Fourth Column 109
Fifth Column 160
Is this what you were needing? A sum of the numbers in each column?
Please allow me to know if I helped by clicking thank you, rating or brainly.
Miss Hawaii
given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84
Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.
$ 61.34 x 52 = X $ 3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
Learn more in https://brainly.com/question/25225323
Given that cos (x) = k
what does cos (2x) = ?
Thanks in advance :)
Answer:
(2x) = 2k
Step-by-step explanation:
If x = k, then 1x=1k, then 2x=2k
Answer:
2k² - 1
Step-by-step explanation:
cos x =k
cos 2x = 2 cos ² x - 1
= 2k² - 1
what is the solution to this inequality?
3n > 45.
A. n>15
B. n>42
C. n>48
D. n>135
Answer:
the answer to your problem is c
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4 hour job, for instance, is $32.
Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
y=______
Answer:
y=6x+8
Step-by-step explanation
correct on khan ;)
Help, What is the volume of the concrete piece?
Answer:
72,000
Step-by-step explanation:
multiply everything
fifteen minutes past eight in the evening on a 24 hour clock
Answer: The time is 20:15 on a military time clock.
Step-by-step explanation:
Find the geometric mean between each pair of numbers
Show your work please
Thank you❤️❤️❤️
Answer:
1.26
Step-by-step explanation:
geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26
Simplify The following completely:
[tex]\sqrt{48}[/tex]
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Write 0.00000000568 in proper scientific notation.
Answer:
568 to the negative power of 8
so. -8
568
When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?
