Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70
Answer:
$97.20
Step-by-step explanation:
97.20 x 0.15 = 14.58
Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.
Finding slope from tables and
Answer:
m=-5/2 b=2
Step-by-step explanation:
It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2
.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.
1.45÷8= 5.6250 -5.625------- example
4.93÷9 = _____ - ______
2. 77÷9 = _____ - ______
5.88 ÷7= _____ - ______
3.81÷7= _____ - ______
6.55÷8=_____ - ______
sorry if the numbers is a bit confusing
The responses for the quotient given to the nearest thousandths are
presented in the order of the of the questions as follows;
[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]
[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Reasons:
4. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]
Given that we have;
[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]
2. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
5. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]
[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
3. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
6. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Learn more here:
https://brainly.com/question/17913153
ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.
7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?
Question 3 options:
7+18n
18+7n
18+7(n−1)
7+18(n−1)
Answer:
7+18n
might be the answer sorry if I am wrong
Ms. Baranek buys trophies for field day each trophie cost $3.95 she pays $138.25 for all the trophies how many trophies does ms baranek buy
Answer:
34 trophies
Step-by-step explanation:
1348.25/3.95 = 34.24
Answer:
35
Step-by-step explanation:
138.25 / 3.95 will give you 35
Please help me solve this problem ASAP!
Answer:
im pretty sure the answer is 90°
given g(x)=-2x+1 solve for x when g (x)=5
Answer:
x = -2
Step-by-step explanation:
g(x) = 5
-2x + 1 = 5
-2x = 5 - 1
-2x = 4
x = 4/-2
x = -2
_________
[tex]\:[/tex]
g(x) = 5
5 = -2x + 1
5 - 1 = -2x
4 = -2x
x = -2
how many roots does the following equation have? x5+x4+x3+x2+x=0?
Step-by-step explanation:
it has only 1 root
Mark me brainliestThe algebraic form of an with no solution is?
1. a = a
2. x = a
3. a = b
Which one is the answer?
5 peppers for $5.50 how much is each
Answer:
$1.10
Step-by-step explanation:
5.50 divided by 5, take a way the decimal in order to divide. 550/5=110
55 divided by 5 is 11 just add a zero
what is the solution to the system of equations
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
Work out Sarah's total pay for the last week
Answer:
190
Step-by-step explanation:
Attached picture...
Can you help me on this question Plss
Answer:
Step-by-step explanation:
Non linear and varies
Answer:
linear because the pine is not straight it has to be straight to be proportional
Which of the following represents a single replacement reaction?
Select one:
a.
AB + C --> AC + B
b.
A + B --> AB
c.
AB + CD --> AC + BD
d.
A - B --> AB
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
If A(2, 3) and B(-4, -6), find AB.--
[tex] \huge \bf༆ Answer ༄[/tex]
The distance between points can be solved using Distance formula (similar to Pythagoras theorem)
[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]
Put the values : -
[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex][tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex][tex] \sf D = \sqrt{36 + 81} [/tex][tex] \sf D = \sqrt{117} [/tex][tex] \sf D = 3 \sqrt{13} [/tex]Distance between the points = 3√13 units
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Answer:
If you are trying to find the line, simply use a graph.
Step-by-step explanation:
Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo. En ninguno de esos casos queda nadie sin grupo. ¿Cuántas personas son si casi llegan a 25?
En la reunión semanal había 24 personas.
Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:
2 - 4 - 6 - 8 - 10 - 12 - 14 - 16 - 18 - 20 - 22 - 243 - 6 - 9 - 12 - 15 - 18 - 21 - 244 - 8 - 12 - 16 - 20 - 24Por lo tanto, en la reunión semanal había 24 personas.
Aprende más en https://brainly.com/question/3113448
What number is furthest from 0 on a number line? 16 or 18?
TWO QUESTIONS! PLEASE ANSWER!
Drag the tiles to list the sides of △MNO from shortest to longest. There is a triangle MNO in which the measure of angle MNO is 54 degrees and the measure of angle NMO is 61 degrees.
The smaller the angle subtended by a side, the smaller the length of the
side.
The correct responses are;
Question 1: The list of sides from shortest to longest are;
[tex]\begin{array}{|c|c|c|}\overline{MO}&\overline{NO}&\overline{MN}\\Shortest&Medium&Longest\end{array}\right][/tex]a) Fridayb) 70 minutesc) 40%d) Yes, the sum of the mean number of minutes spent on aerobic training and the mean number of minutes spent on strength training is equal to the mean total number of minutes spent training.From the given diagram, we have, the measure of the third angle, ∠O, is
found as follows;
∠O = 180° - 54° - 61° = 65°
Therefore, ∠O = The largest angle
We get;
The longest side is opposite the largest angle, which gives;
The shortest side is the side opposite ∠N (54°)= [tex]\overline{MO}[/tex]
The next shortest side is the side opposite ∠M(61°) = [tex]\overline{NO}[/tex]
The longest side is the side opposite ∠O(65°) = [tex]\overline{MN}[/tex]
a) The time spent training on Tuesday = 60 + 10 = 70 minutes
The time spent training on Thursday = 50 + 30 = 80 minutes
The time spent training on Friday = 45 + 40 = 85 minutes
Therefore, the day the athlete spent the longest total amount of time training is on Friday
b) The time spent training on Monday = 10 + 20 = 30 minutes
The time spent training on Wednesday = 20 + 15 = 35 minutes
Therefore, we get;
30, 35, 70, 80, and 85
The median total number of minutes the athlete spent training each day =
70 minutes
c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120
The total number of minutes the athlete spent training = 70 + 80 + 85 + 30
+ 35 = 300
[tex]\mathrm{The \ percentage \ spent \ on \ strength \ training} = \dfrac{120}{300} \times 100 = \underline{40 \%}[/tex]
d) The mean number of minutes spent on strength training is found as follows;
[tex]Mean_{strength} = \dfrac{120}{5} = 24[/tex]
The mean number of minutes spent on aerobic training is found as follows;
[tex]Mean_{aerobic} = \dfrac{10 + 60 + 20 + 50 + 40}{5} = 36[/tex]
[tex]Mean_{strength} +Mean_{aerobic} = 24 + 36 = 60[/tex]
The mean total number of minutes spent training, [tex]Mean_{total}[/tex] = [tex]\dfrac{300}{5}[/tex] = 60
Therefore;
[tex]\underline{Mean_{strength} +Mean_{aerobic} = Mean_{total}}[/tex]Learn more here:
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A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2please help me I don't understand what it is asking
Answer:
3.5 ft
Step-by-step explanation:
[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]
7/4 inch = ? feet
[tex] \frac{ \frac{1}{2} }{ \frac{7}{4} } = \frac{1}{x} \\ \\ \frac{4}{14} = \frac{1}{x} \\ x = \frac{7}{2} [/tex]
3.5 ft
Answer:
3.5 ft.
Step-by-step explanation:
The question describes a bookshelf with width given in inches and we have to find the actual width in feet.
That makes it
Conversion of lengths from inches to feets:The bookshelf drawn by Sarita is
[tex]1 \frac{3}{4} [/tex]
inches wide.
Converting a mixed fraction to its simplest formAny fraction with it's quotient greater than or equal to 1 can be expressed in the form of mixed fraction.
It combines a whole number and a fractional reminder. The whole number represents how many complete wholes you have.
So, to convert a mixed fraction to an improper fraction, following steps will be conducted:
STEP I
(multiply the whole number by the denominator)
In this case,
[tex] 1\frac{3}{4} [/tex]
Denominator = 4whole number = 1= 4 × 1
= 4
STEP II
(add the product to the numerator)
numerator = 3 product obtained din step 1 = 4= 3 + 4
= 7
STEP III
(place the numerator obtained in Step 3 over the denominator)
new numerator = 7 denominator = 4Which gives us the fraction:
[tex] \boxed{ \frac{7}{4} }[/tex]
So, the width of the bookshelf is 7/ 4 in.
Expressing it in feets:[tex] \mathsf{ \frac{1}{2} \: inches \: represent = 1 \: feet }[/tex]
[tex] \mathsf{ 1 \: inch \:will\: represent = 1 \times \: \frac{2}{1} feet }[/tex]
[tex] \mathsf{ \frac{7}{4} \: inches \:will\: represent = 2 \times \: \frac{7}{4} feet }[/tex]
[tex] \implies \mathsf{ \underline{\frac{7}{2} \: ft. }}[/tex]
[tex] \mathsf{or}[/tex]
[tex] \implies \: \mathsf{ \underline{3.5 \: ft.}}[/tex]
That makes it Option: D) 3.5 ft.
Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?
Answer:
8.4 pontos
Step-by-step explanation:
4.2/5
multiplique o numerador e o denominador por 2
8.4/10
Answer is D)-4 but please explain how to get it
Answer:
D
Step-by-step explanation:
We could plug x into the equation but to make it easier we simplify it first
[tex]\frac{1}{x} -\frac{1}{x+1}[/tex]
[tex]-\frac{1}{x+1} + \frac{1}{x}[/tex]
[tex]-\frac{1}{2x+1}[/tex]
x = -1/2
-2-2 = -4
please help me with this math problem
Step-by-step explanation:
the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.
So the equation you will get is
[tex]a(x) = \frac{50}{x} + 5[/tex]
Answer:
A(x)= (50/x)+5
Step-by-step explanation:
50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.
Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels? Round your answer to the nearest hundredth.
Thank You!!!
Answer:
Using formula to calculate the circumference of wheel:
where
D is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
As per the statement:
Lin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
then by definition:
meter
Therefore, the circumference of her wheel is, 1 9/11
Step-by-step explanation:
Would you rather receive $10,000 a day for 31 days or a penny that doubles in value every day for 31 days?
How much money would you have at the end of 31 days if you chose the $10,000 per day?
How much money would you have at the end of 31 days if you chose to double the penny every day?
How much would you have at the end of 15 days if you chose to double the penny every day?
Someone pls help me
This shows how much you would make per day for both choices.
Total earned in 31 days for $10,000 per day: $310,000
Explanation
$10,000 every day in 31 days.
Total earned in 31 days for penny: 21,474,836.47
Explanation:
Day 1: $0.01
Day 2: $0.02
Day 3: $0.04
Day 4: $0.08
Day 5: $0.16
Day 6: $0.32
Day 7: $0.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
Day 31: $10,737,418.24
please help with statistic 20
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
