Marie went out for dinner with her friend. The dinner cost $24. Tax is 5% and Marcie wants to leave a
15% tip (she computed tip on the cost of dinner and tax.) How much will Marcie pay all together for
dinner?
Answer:
$28.83
Step-by-step explanation:
We will use: \(\frac{part}{whole}=\frac{percent}{100}\) and then use cross multiplication.
Let's solve the tax first.
We have:
tax (percent) = 5%
dinner cost (whole) = $24
we want to solve for "part". Lets set the equation up before we plug anything in
\(part*100=percent*whole\)
\(part = (\frac{percent*whole}{100} )\)
now plug everything in:
\(part = (\frac{5*24}{100} )\)
part = $1.20
what does this mean?
Well it actually means $1.20 is the amount of money we pay in tax.
So we add that to our total.
24 + 1.20 = $25.20
Next we will do the tip. We will use the same equation as above:
tip (percent) = 15%
dinner cost (whole) = $25.20
plug everything in:
\(part = (\frac{15*24.2}{100} )\)
part = $3.63
That means we pay an extra 3.63 as a tip. So lets add that to our dinner cost:
25.20 + 3.63 = $28.83
So we end up paying $28.83 for our dinner in total.
Two data sets and their mean absolute deviations are shown.
Study the plots of each data set, and then use the drop-down menus to answer the questions below.
Answer:
Step-by-step explanation:
Use internet to read a graph
This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31
The dot plot shows the number of movies 15 people watched in a month: Dot plot labeled Number of Movies Seen shows 2 dots over 0, 2 dots over 7, 3 dot over 8, 3 dots over 9, and 5 dots over 10. Is the median or the mean a better center for this data and why? (1 point) Mean; because the data is normally distributed and has an outlier Mean; because the data clusters on the right and is not symmetric Median; because the data is normally distributed and has an outlier Median; because the data clusters on the right and is not symmetric
Answer:Median; because the data is not symmetric and there are outliers.
Step-by-step explanation:We know that a median is a central tendency of a data and it best represents the given data set.
From the given information we see that the data is skewed to the right since most of the data points takes the higher value and the data is not symmetric as it is skewed.
Hence, last option is the correct answer.
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answer:
the third answer
Step-by-step explanation:
Help pleaseeeee!!!!!!
Step-by-step explanation:
range of the given function = {-7,2,11,20}
How many solutions does the system have? { � = 9 � − 5 � = 9 � + 6 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=9x−5 y=9x+6 Choose 1 answer: Choose 1 answer: (Choice A) Exactly one solution A Exactly one solution (Choice B) No solutions B No solutions (Choice C) Infinitely many solutions C Infinitely many solutions
Option (C) Infinitely many solutions
Please help ! :) 17 points for this question
Answer:20.7 units²
Step-by-step explanation: volume of a rectangular prism is L×W×H
therefore 82.8=L×W×the height which is 4 units so if u do 4×L×W you get 4LW which is the volume
(4LW=82.8) now divide 82.8 by 4LW to get the value of LW. The value of LW is an area of one of the bases because area is L×W which is basically LW
hope you understand all the best
30 POINTS!! Please hurry
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each given function with the description of its graph.
Answer: Can you show the full question.
Step-by-step explanation:
Answer:
I don’t understand the question. Please give more info.
Step-by-step explanation:
Please help! Thank you!
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
To solve -9 - 16m = 7, what steps would you use?
(divide by; multiply by; add; or subtract) 9
(divide by; multiply by; add; or subtract) -16
Answer:
add 9
divide by -16
Step-by-step explanation:
I would add nine to both sides, making it -16m=16.
Then, I would divide by -16 on both sides to isolate the m.
Help meh I suck at math.
Answer:
(In order left to right) 362, 368, 373... 6, 12, 16...
Step-by-step explanation:
19-18=1 380-18=362
1+6=7 362+6=368
7+5=12 368+5=373
2-1=1 7-1=6
1+4=5 6+4=12
5+4=9 12+4=16
Answer:
380/19
20/1
140/7
240/12
Step-by-step explanation:
380 divided by 19 is 20
the unit rate is 20/1
so 7x20=140 140/7
12x20=240 240/20
Hope this helps!!!
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Please help me. Mark me the branliest.
Topic: Percentage
Q1) 80% of a dog's mass is equal to 24% of the mass of a lion. If the mass of the lion is 105 kg more than the mass of the dog, find the total mass of the dog and the lion.
1. The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −2.5 can be a value in the shaded region?
a
Yes it can, because −2.5 lies to the left of −0.5.
b
Yes it can, because −2.5 lies to the right of −0.5.
c
No it cannot, because −2.5 lies to the left of −0.5.
d
No it cannot, because −2.5 lies to the right of −0.5.
2. If x = − 4, which number line shows the value of |x|? (5 points)
a
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.
b
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.
c
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.
d
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.
Step-by-step explanation:
a
Yes it can, because −2.5 lies to the left of −0.5.
please help me with this one question, thank you
Answer:
See attachment
Step-by-step explanation:
Answer:
Step-by-step explanation: You’re going to plot a point on the y-axis ay the number 1 then your going to move up two spaces and left three spaces and then draw a line through the two points
When Connor was 16, he bought his first car. It had 1.67 x 10^5 miles on it. Connor is now 55 and wants to buy his dream car. He wants a
new car or a used one with low miles. The car he ends up buying has 4.35 x 10^3 miles.
How many times greater were the miles on his old car than his new car? Round to the nearest whole number.
explanation too please!
Answer:
4350
Step-by-step explanation:
First,we do 10^3
10 x 10 x 10
100 x 10
1000
Then we bring down
4.35 and we multiply it by 1000
And Last, we get
4350 as the answer
The miles on Connor's old car were 39 times greater than the miles on his new car.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
To solve this problem, we need to divide the number of miles on Connor's old car by the number of miles on his new car and round the result to the nearest whole number.
The number of miles on Connor's old car is 1.67 x 10⁵ miles and the number of miles on his new car is 4.35 x 10³ miles, so the number of times greater the miles on his old car are than his new car is:
(1.67 x 10⁵ miles) / (4.35 x 10³ miles) = 38.6
Rounded to the nearest whole number, this is 39.
Therefore, the miles on Connor's old car were 39 times greater than the miles on his new car.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
---> help pls!<---
What is -64.2 divided by 2?
Answer:
-32.1
Step By Step Explanation:
2. One angle of a triangle measures 10 degrees more than the second. The measure of the third angle is twice the sum of the measures of the first two angles. Find the measure of each angle. [Hint: the sum of the three angles in a triangle equals 180°.] PLEASE SHOW YOUR WORK I WILL MAKE BRAINLIST PLEASE!!!!!!!
Answer:
first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
Let the size of the second angle be x degrees.
One angle of a triangle measures 10 degrees more than the second. This means that the size of the first angle is ( x+ 10 )degrees.
The measure of the third angle is twice the sum of the measures of the first two angles. This means that The third angle = 2( first angle + second angle). So the size of each angle is
First angle (x + 10) degrees
Second angle = x degrees
Third angle = 2(x + 10 + x) = (4x + 20) degrees
Sum of angles in a triangle = 180 degrees. Therefore, x + 10 + x + 4x + 20 = 180 degrees 6x + 30 = 180
6x = 180 - 30 = 150
x = 150/6 = 25 degrees
First angle = x + 10 = 25 +10 = 35
Third angle = 4x + 20 = 4 × 25 + 20
= 100+ 20 = 120 degrees
Hope this helps
Answer:25(1st angle),35(2nd angle),120(3rd angle)
Step-by-step explanation: (/ stands for divide)
180/6=30 (sum of angles/total units=value of one unit, third angle is 4 units as it is twice the sum of first two angles)
30x4=120 (value of unitxnumber of units of 3rd angle=3rd angle)
30x2=60 (value of unitxfirst angle+second angle total units=value of 1st angle+2nd angle)
(60-10)/2=25(1st angle)
25+10=35(2nd angle)
CHECK: 35+25+120=180
hope you get it :)
Rosa has $254. She pays $7 for breakfast each day and $13 for lunch each day. If Rosa does not spend money on anything else or receive any additional money, how many days can she continue to buy breakfast and lunch?
Please give an inequality problem, an answer for it, and an explanation for how you got the answer. (Algebra l work)
If some of the instructions aren´t followed, you will get reported. Thank you so much for your help. (I need answer before 8pm est)
Answer: 12 days
Step-by-step explanation: Rosa pays $20 a day on food, and $20 times 10 days is $200. Add 2 more days and that takes away $40. Rosa will have 12 days for lunch and breakfast with a remainder of $14.
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
Please I need help ASAP
I WILL GIVE BRAINLIEST
Answer:
11.5
Step-by-step explanation:
7 / 1.4 = 5
5 * 2.3 = 11.5
PLs help me!! ill mark!!!
PLS ANSWER THIS QUESTION- this is 8th grade math
During a sale, a store offered a 40% discount on a bed that originally sold for $620. After the sale, the discounted price of the bed was marked up by 40%. To the nearest whole number, what percent of the original price was the price after markup?
Answer: I think this is 84%
Step-by-step explanation:
Beth claims that the value 7 × 106 written below is the largest value because it has the greatest multiplier. James claims that the value 3.2 × 107 written below is the largest because it has the greatest power of ten. Ariel claims that the value 4.02 × 105 written below is the largest value because it has the multiplier with the most place values. Who is correct?
Answer: Beth is correct
Step-by-step explanation:
what are three ratios that are equivalent to 7:9
Please help!
2. A football coach recorded his team’s game scores over a football season. The scores are 21, 45, 21, 14, 21, 28, 24, 14, 24, 28.
(a) Find the mean absolute deviation of the data. Round to the nearest tenth.
(b) Interpret the mean absolute deviation of the data within the context of the problem.
(c) Explain how removing the outlier, 45, affects the mean absolute deviation.
4. Two random samples are shown from two different populations. Sample 1 represents the monthly cost of living for a single person. Sample 2 represents the monthly cost of living for a married couple with one child.
Sample 1: {$1800, $2000, $2200, $2300, $2500, $3000}
Sample 2: {$5400, $5500, $5600, $5600, $5800, $6000}
(a) Calculate the mean and the median of each population.
(b) Draw a conclusion about the populations based on the measures of center.
Answer:
2a. 5.8
2b. On average, a score will be 5.8 points away from the average score.
2c. The score will be about 2 points nearer to the average.
4a1. Sample 1 Mean: $2300; Sample 1 Median: $2250.
4a2. Sample 2 Mean: $5650; Sample 2 Median: $5600.
4b. The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
Step-by-step explanation:
2a./2b.
In order to find the mean absolute deviation, we need to first find the mean.
(21 + 45 + 21 + 14 + 21 + 28 + 24 + 14 + 24 + 28)/10
(66 + 35 + 49 + 38 + 52)/10
(101 + 87 + 52)/10
(101 + 139)/10
240/10
The mean of this set is 24.
Now for the deviation.
21 - 24 = -345 - 24 = 2114 - 24 = -1028 - 24 = 424 - 24 = 0For the mean absolute deviation, divide the combined value of the 10 deviation values from before (in absolute value) by 10.
(|-3| + 21 + |-3| + |-10| + |-3| + 4 + |-10| + 4)/10
(3 + 25 + 3 + 10 + 3 + 10 + 4)/10
(28 + 13 + 13 + 4)/10
(41 + 17)/10
58/10
The mean absolute deviation is 5.8. That interpreted would be like this: A score, on average, is 5.8 points away from the average score.
2c.
What I'll do here is the following: subtract 45 from 240, and then subtract 21 from the mean deviations. In both cases, I will now divide by 9.
(240 - 45)/9
195/9
65/3
The mean of the set (without 45) is now 21 2/3.
(58 - 21)/9
37/9
The new mean absolute deviation is 4 1/9, which rounds to 4.1. That's 1.7 points nearer to the average than originally.
So, without 45 as one of the scores, the M.A.D. decreases by about 2. That interpreted would be like this: The scores are about 2 points nearer to the average than before.
4a./4b.
First, I'll find the mean for sample one.
(1800 + 2000 + 2200 + 2300 + 2500 + 3000)/6
(3800 + 4500 + 5500)/6
(8300 + 5500)/6
13800/6
The mean for sample one is $2,300/month.
Now for the median for sample one. Since there are 6 values, add the two middle values and divide by 2.
(2200 + 2300)/2
4500/2
The median for sample one is $2,250/month.
Now for the mean & median for sample two.
Mean:
(5400 + 5500 + 5600 + 5600 + 5800 + 6000)/6
(10900 + 11200 + 11800)/6
(22100 + 11800)/6
33900/6
The mean for sample two is $5,650/month.
Median:
Again, there are 6 values. However, this time they are the same, so there is no need to divide. The median for sample two is $5,600/month.
Looking at the data, the mean & median for sample was larger than sample one. Thus, I can conclude the following: The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
12^5-7x+85(5942)/9.3+5 =___
Answer:
12^5 - 7X + 5051165/93