You attend a working dinner with four other colleagues. Since alcohol
is not reimbursed by your company. your party receives two separate
bills: One for food ($156.65) and one for alcohol ($49.50). Each bill
needs to be split 5 ways.
How much do you owe for each bill?
$3.13 for food and $9.90 for alcohol
1.1
1.1
$31.33 for food and $0.99 for alcohol
1.1
$31.33 for food and $99.0 for alcohol
1.1
1.1
$31.33 for food and $9.90 for alcohol
1.1
Answer:
that is right because the bill is like a money service
I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
the radius of a circle is 4, what is the diameter and circumference
The diameter of the circle is 8, because the diameter is twice the radius. The circumference of the circle is 25.1327, because the circumference is calculated using the formula C = 2πr, where r is the radius and π is approximately equal to 3.14.
You get your hair done for $56.00 and you tip the hairdresser 20%. How much is your tip?
A.$76.00
B. $67.20
C.$11.20
D.$20.00
You get your hair done for $56.00 and you tip the hairdresser $20.00(D)
You have to subtract 56 from 20% than round the answer to the neared tenth.
Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.
H0: μ≥46; Ha: μ<46
α=0.05 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
Ernest has $900 in a savings account that earns 14% annually. The interest is not compounded. How much will he have in total in 2 years?
Help
Answer:
1152$
Step-by-step explanation:
Intrest is 252
A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
Which property justifies Step 3?
don’t mind the pencil writing
Answer:
Length = 22 cm
Width = 4 cm
Step-by-step explanation:
Area = 88 cm²
Length = x + 7
Width = x - 11
Area of rectangle = length*width
Therefore:
(x + 7)(x - 11) = 88
x(x - 11) +7(x - 11) = 88
x² - 11x + 7x - 77 = 88
Add like terms
x² - 4x - 77 = 88
x² - 4x - 77 - 88 = 88 - 88
x² - 4x - 165 = 0
Factorize
x² - 15x + 11x - 165 = 0
x(x - 15) +11(x - 15) = 0
(x + 11)(x - 15) = 0
x = -11 or x = 15
Let's use the positive number.
Therefore:
Length = x + 7
Plug in the value of x
Length = 15 + 7 = 22 cm
Width = x - 11 = 15 - 11 = 4 cm
A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.
How to explain the ratio?If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.
Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.
Learn more about ratio on:
https://brainly.com/question/2328454
#SPJ1
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answer:
$973.75
Step-by-step explanation:
7.50x35=262.5
45x9.00=405
25x12.25=306.25
If you add all the sums together you would get $973.75
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
To learn more about sum of interior angles of a polygon click :
https://brainly.com/question/14611583
#SPJ1
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
A square pyramid is shown sitting on its base.
Answer:
312
Step-by-step explanation:
First we find the measure of the basea and that is 144 becuase 12x12
To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168
When we add 144+168 we will get 312
Marsha pays $25 each month for a car wash membership. Which of the following represents the total amount subtracted from her account after 4 months of having the membership?
A. −4|25| = −$100
B. 4|−25| = $100
C. |−25| − |4| = $21
D. |−25| − 4 = $21
Answer:
B. 4|−25| = $100
Step-by-step explanation:
Hope this helps!
PLEASE HELP HELP HELP ME ASAPPP PLEASE
Answer:
4d+7 = 5d-3
4d-5d = -7-3
-d = -10
d = 10
Find the value of 2 that makes m
|| n.
120°
AE AS
3xº
Answer:
60
Step-by-step explanation:
I thinks it's the answer
Question
Eli caught three fish. The weights of the fish were 2 lb 4 oz, 1 lb 11 oz, and 4 lb 14 oz,. What was the total weight of the
three fish?
Answer:
8 lbs. 13 oz.
Step-by-step explanation:
2 lb. 4 oz.
+ 1 lb. 11 oz.
4 lb. 14 oz.
__________
7 lbs. 29 oz.
Since there are 16 oz in one pound, subtract 16 from 29 to get 13 oz and don’t forget to add that pound to the 7, so your final answer should be 8 lbs. 13oz.
Find the area and perimeter of the figure below.
Answer:
x to the 3rd power
Step-by-step explanation:
x+x to the 2nd power = x to the 3rd power
Step-by-step explanation:
The area is the sum of three figures
A = 1*1 + 1*x + x²
= x² + x + 1
The perimeter is the sum of border segments
P = x*4 + 1*4
= 4x + 4
Which of the following numbers is the least?
Question 3 options:
7.1×109
7×109
7×108
7.1×108
Answer:
7×108
Step-by-step explanation:
7×108=756 which is the least number
A colony of 3,800 bacteria doubles in size every 3
hours. What will the population be 12 hours from now?(
Answer:
45600 Bacteria
Step-by-step explanation:
Have a good day
Peace out
Answer:
60800 bacteria
Step-by-step explanation:
first find how many times it doubles: 12 hours ÷ 3 hours = 4 times
so if doubles 4 times, put [ * 2 ] four times = 3,800 * 2 * 2 * 2 * 2 = 60800
The population will be 60800 bacteria, 12 hours from now.
The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
the number greater that 714,587
Answer:
714
Step-by-step explanation:
587,714 they arrange in orderly form
A number greater than 714,587 is 714,588
How to determine the number greater than 714,587?The complete question is added as an attachment
From the attached figure, we have:
Passengers = 714,587
Numbers greater than 714,587 would have a value greater than 714,587
This is represented as:
x > 714,587
The above inequality represents numbers greater than 714,587
An example of such number is 714,588
Hence, a number greater than 714,587 is 714,588
Read more about inequality at:
https://brainly.com/question/24372553
#SPJ1
You determine the percent abundance of
each length of nail and record it in the data
table below.
Sample
Type
Short nail
Medium nail
Long nail
Number Abundance
of Nails
(%)
67
18
10
70.5
19.0
10.5
Nail Length
(cm)
2.5
5.0
7.5
What is the weighted average length, in cm,
of a nail from the carpenter's box?
Weighted Ave Length
Enter
The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.
What is weighted average ?
Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.
To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.
Let's start by calculating the product of each nail length and its percent abundance:
Short nail: (2.5 cm) x (70.5%) = 1.7625 cm
Medium nail: (5.0 cm) x (19%) = 0.95 cm
Long nail: (7.5 cm) x (10.5%) = 0.7875 cm
Now, we add up all the products:
1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm
Finally, we divide by the total percent abundance:
70.5% + 19.0% + 10.5% = 100%
Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm
To learn more about weighted average from the given link :
https://brainly.com/question/28419561
#SPJ1
The variables y and x have a proportional relationship, and y = 28 when x = 21.
What is the value of y when x = 36?
O y = 14
O y = 48
O y = 36
O x = 64
The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
What are the more appropriate measures of center and spread for this data
set?
5
18
22 24 26
H
02
4 B
3 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of center: the mean
O B. Better measure of spread: the standard deviation
I c. Better measure of center: the median
I D. Better measure of spread the interquartile range (IOR)
Answer:
C and D
Step-by-step explanation:
The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.
If you want to measure the center of the data, you can make use of the median.
Also, an appropriate measure of spread to use is the interquartile range.
Interquartile range = Q3 - Q1.
Better measure of center to use is Mean while better measure of spread is interquartile range.
The correct options for measures of center and spread for the data set is option C and D
What are the best measures of center and spread of the data?The measures of center of data include the mean, median and mode.
The measures of spread include range, mean deviation, variance and standard deviation.
The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.
The best measure of the center of the data, is the median.
The appropriate measure of spread is the interquartile range.
In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.
Learn more measures of center and spread at: https://brainly.com/question/10252810
#SPJ5
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
The steps that she could use to solve the quadratic equation are determined as:
2(x² + 6x + 9) = 18 + 3(x + 3)² = 21/2What is a Quadratic equation?ax2+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
The solution to the quadratic equation is determined as follows;
2x² + 12x - 3 = 0
2x² + 12x = 3
divide through by 2
x² + 6x = ³/₂
take half of the coefficient of x, square it and add it to both sides of the equation
(x + 3)² = ³/₂ + 3²
x² + 6x + 9 = 9 + ³/₂
2(x² + 6x + 9) = 18 + 3
Thus, the steps that she could use to solve the quadratic equation are determined as 2(x² + 6x + 9) = 18 + 3 and then (x + 3)² = 21/2.
Learn more about Quadratic equations here:
https://brainly.com/question/22364785
#SPJ1
Complete question:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.
2(x2 + 6x + 9) = 3 + 182(x2 + 6x) = –32(x2 + =6x) = 3(x + 3)² = 21/22(x2 + 6x + 9) = –3 + 9(x + 3)2 = 6/2