Answers
4x+50=90.
90-50=4x
40=4x
x=10
7. theyre suplementary, they add to 180 degress, a straight line.
42+6x=180
6x=180-42
6x=138
x=23
8-10, Do i state them all or just some. (Im going to name just 1 or 2)
8. angle AKB and BKG, angle CGD and CGJ
9.CGK and KGJ
10. DGE and KGJ
Related Questions
Simplify the rational expression . x^2+9x+20/x+7The quotient is , and the remainder is .
Answers
We can conclude that the quotient of the division is (x+2) and the remainder is 6.
Final answer:
The rational expression x^2+9x+20/x+7 simplifies to (x+5) with a remainder of (x+4)/(x+7) after factoring the numerator.
Explanation:
To simplify the rational expression x^2+9x+20/x+7, you would factor the numerator and then divide the factors by the denominator if possible.
The factoring of x^2+9x+20 would yield (x+5)(x+4), as these are the factors of 20 that add to 9. Now the expression becomes:
((x+5)(x+4))/(x+7)
Since x+7 doesn't factor with either x+5 or x+4, the expression is already in its simplest form. So the quotient is x+5 with a remainder of (x+4)/(x+7).
Remember to check your answer to ensure it is reasonable.
Find the sum of the absolute deviations of the following data set.
8, 5, 15, 12, 10
Choices:
50
10
12.5
14
Answers
To find the sum of the absolute deviations, calculate the average of the data set and then subtract it from each value, taking the absolute value. Finally, sum up all the absolute deviations.
Explanation:To find the sum of the absolute deviations, we first need to find the average of the data set. The average is calculated by adding up all the numbers and then dividing by the total number of values. So, the average of the data set 8, 5, 15, 12, 10 is (8 + 5 + 15 + 12 + 10) / 5 = 50 / 5 = 10.
Next, we calculate the absolute deviation for each number by subtracting the average from each value and taking the absolute value. The absolute deviations for the given data set are: |8 - 10| = 2, |5 - 10| = 5, |15 - 10| = 5, |12 - 10| = 2, |10 - 10| = 0.
Finally, we sum up all the absolute deviations: 2 + 5 + 5 + 2 + 0 = 14. Therefore, the sum of the absolute deviations is 14. So the correct choice is 14.
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The sum of the absolute deviations of the dataset 8, 5, 15, 12, 10 is calculated by finding the mean of the dataset, calculating the absolute difference of each data point from the mean, and summing up these absolute values. The result is 14.
Explanation:The sum of the absolute deviations of a dataset is determined by first finding the mean of the dataset, and then finding the absolute difference of each data point from the mean. The sum of these absolute values is the sum of absolute deviations.
Here is how to do this with your dataset: 8, 5, 15, 12, 10.
Calculate the mean (average) of the dataset: [tex](8+5+15+12+10)/5 = 10[/tex]Find the absolute difference of each data point from the mean: [tex]|8-10|, |5-10|, |15-10|, |12-10|, |10-10|[/tex], which are 2, 5, 5, 2, and 0 respectively.Sum up these absolute values: [tex]2 + 5 + 5 + 2 + 0 = 14[/tex]So, the sum of the absolute deviations of your dataset is 14.
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Two ships leave port at 10 A.M. One travels at a bearing of 50° at 25 mph, and the other travels at a bearing of 120° at 20 mph. How far apart are the ships at noon? Round your answer to the nearest tenth.
Answers
The second ship travels (20 mi/n)*(2 h) = 40 mi.
The angle between their directions of travel is 120° -50° = 70°.
The law of cosines can be used to find the distance (d) between the ships.
d² = 50² + 40² - 2*50*40*cos(70°)
d² = 2500 +1600 -4000*cos(70°)
d² ≈ 2731.919
d ≈ √2731.919 ≈ 52.3 . . . . miles
At noon, the ships are about 52.3 miles apart.
#16, can someone please explain it ASAP?
Answers
10x = 180
x = 18
Angles are 2*18, 3*18 and 5*18
Angles = 36, 54 and 90 degrees
A 155 pound person burns about 500 calories per hour playing racquetball. one pound id equal to 3500.
Q- If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound?
Answers
p= c/t
155lb=500cal/1h
1lb= 3500 cal
30-5 =25 min of workout 25/60= 5/12 hr
1/t=c/5/12
1 lb =3500 cal
500/1=c/5/12
c=208 cal
3500/t=208/(5/12)
3500/t=500
t= 7 min to burn 1 pound calorie
Answer:
[tex]8\frac{1}{6}[/tex] hours or 8 hours and 10 minutes.
Step-by-step explanation:
We have been given that a 155 pound person burns about 500 calories per hour playing racquetball. One pound is equal to 3500 calories.
Since the person burns 500 calories per hour, so time taken to burn 3500 calories would be:
[tex]\frac{3500\text{ cal}}{\frac{\text{500 cal}}{\text{Hour}}}[/tex]
[tex]\frac{3500\text{ cal}}{500}\times\frac{\text{Hour}}{\text{Cal}}=7\text{ Hour}[/tex]
Now, we will convert 7 hours to minutes.
1 hour equals 60 minutes.
7 hours = 7*60 minutes =420 minutes.
Since the person take a rest of 5 minutes for every 30 minutes of playing, so we will divide 420 by 30 to find the number of times the person rested to burn 3500 calories.
[tex]\frac{420}{30}=14[/tex]
Now, we will multiply 14 by 5 minutes to find minutes the person rested.
[tex]14\times 5\text{ minutes}=70\text{ minutes}[/tex]
Total number of minutes to burn 3500 calories: [tex]420\text{ minutes}+70\text{ minutes}=490\text{ minutes}[/tex]
[tex]\frac{490}{60}=\frac{49}{6}=8\frac{1}{6}[/tex]
Therefore, it will take 8 hours and 10 minutes to burn 1 pound.
Using distributive law find the square of 101 and 72
Answers
To find the square of 101, we can use the distributive law as follows: 101^2 = (100 + 1)^2 = 10000 + 200 + 1 = 10201. Similarly, to find the square of 72: 72^2 = (70 + 2)^2 = 4900 + 280 + 4 = 5184.
Explanation:The use of the distributive law allows us to expand expressions by multiplying each term inside the parentheses by the term outside the parentheses. To find the square of 101, we can use the distributive law as follows:
101^2 = (100 + 1)^2 = 100^2 + 2(100)(1) + 1^2 = 10000 + 200 + 1 = 10201
Similarly, to find the square of 72:
72^2 = (70 + 2)^2 = 70^2 + 2(70)(2) + 2^2 = 4900 + 280 + 4 = 5184
chris made 4 times as many putts as paul made at golf practice. together they made 60 putts. which equation below canbe used to find the number of putts paul made?
A. 5p=60
B. 4p=60
C. 4+p=60
D. 4p=60+p
Answers
4p + p = 60
This simplifies:
5p = 60
(PLEASE HELP!!!) Ian tosses four fair coins and writes down all the possible outcomes. After creating the sample space for his experiment, he decides to find the probabilities of different events. Arrange the events in order of their probability from least to greatest.
Answers
the probability of heads on 2nd and 4th toss only;
the probability of at least 3 tails in a row;
the probability of 3 or more heads;
the probability of consecutive tails; and
the probability of at least 2 tails.
There are 16 outcomes in the sample space.
There are 8 ways of having consecutive tails; this gives the probability 8/16.
There is 1 way of having heads on the 2nd and 4th toss only, making the probability 1/16.
There are 3 ways to have at least 3 tails in a row, making the probability 3/16.
There are 11 ways to have at least 2 tails, making the probability 11/16.
There are 5 ways to have at least 3 heads, making the probability 5/16.
Answer:
the person bove me is right
Step-by-step explanation:
Find the value of x
Answers
180-88=92 degrees
an equilateral triangle has height 26 cm what is the length of each side of the triangle to the nearest centimeter
Answers
s = unknown side length of the equilateral triangle
The formula to use is
s = (2/3)*sqrt(3)*h
which helps tie together the side length s and the height h
Plug in the given height h = 26 and we get...
s = (2/3)*sqrt(3)*h
s = (2/3)*sqrt(3)*26
s = 30.0222
That rounds to 30
Answer: 30
The length of each side of the equilateral triangle is approximately 52 cm.
Explanation:An equilateral triangle has all sides equal in length. To find the length of each side, we can use the property that an equilateral triangle's height is equal to half the length of one of its sides.
Since the height is given as 26 cm, we can set up the equation:
26 cm = (side length)/2
Multiplying both sides by 2, we get:
52 cm = side length
Therefore, the length of each side of the equilateral triangle is approximately 52 cm.
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One angle of a triangle measures 120°. The other two angles are in a ratio of 5:7. What are the measures of those two angles
Answers
7x= second angle measure
120°= third angle
Triangles equal 180°. Add the angles above to total 180°. Find x to find two two unknown angles.
5x + 7x + 120°= 180°
combine like values
12x + 120= 180
subtract 120 from both sides
12x= 60
divide both sides by 12
x= 5
ONE ANGLE MEASURE
5x= 5(5)= 25°
SECOND ANGLE MEASURE
7x= 7(5)= 35°
CHECK:
25° + 35° + 120°= 180°
180°= 180°
ANSWER: The measures of the two angles are 25° and 35°.
Hope this helps! :)
A warden meets with 23 prisoners. He tells them the following:
Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other.
They will be allowed one planning session before they are taken to their rooms.
There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown.
One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell.
At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which
prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok).
At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed.
What initial strategy is 100% guaranteed to let all go free?
Answers
Points Possible: 1, Points Correct: 0 ∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
Answers
The problem you gave already gave angle A which is 83 degrees, therefore all you have to do is take 83 degrees and subtract it from 180 degrees which equals to 97 degrees.
97? not an option. Maby 98
How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?
Answers
Hope I helped!
which choice is the graph of a line that is perpendicular to the line represented by the equation y = -2x + 7
Answers
PLEASE HELP !Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray? 2 cm³ 8 cm³ 25 cm³ 101 cm³
Answers
If i share £40 in the ratio 1 4
Answers
1n + 4n = 40
5n = 40
n = 8
1(8):4(8)
8:32
One gets £8, and another gets £32
PLEASE HELP!!!! A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm^2
Answers
Hope this helps!
Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of the 3 books
Answers
Drew could have purchased 3 books at prices of $4, $8, and $12, or at prices of $8 each.
Explanation:The question states that Drew purchased 3 books, each with a different price, for a total of $24. The cost of each book is a multiple of 4. To find the possible prices of the 3 books, we need to find 3 multiples of 4 that add up to $24.
Let's start by listing the multiples of 4: 4, 8, 12, 16, 20, 24,...
We can see that the possible prices of the 3 books could be $4, $8, and $12. Another possibility is $8, $8, and $8. There may be other combinations as well, but these are the two most likely options.
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For every four female students in a training class, there are two men. What is the ratio of female to male students ?
Answers
Emily used the number sentence 736.82 + 146.89 = to solve this story problem. A small bin held 146.89 pounds of almonds. A large bin held 736.82 pounds of peanuts. What is the total weight of the nuts in the two bins? Which story problem could also be solved by using the number sentence 736.82 + 146.89 = ? A. Ian weighs 146.89 pounds. The elevator's limit is 736.82 pounds. How many more pounds can be put on the elevator? B. A large fish tank had 736.82 liters of water. A worker removed 146.89 liters of water to make room for the pebbles and sculptures. How much water is left in the tank? C. A northern train route has 736.82 miles of track. A southern route has 146.89 miles of track. How many more miles of track does the northern route have than the southern route? D. Harold earned $146.89 delivering flyers. Sheila earned $736.82 mowing lawns. How much money did they earn altogether?
Answers
Math please help ( ASAP vv easy )
Answers
a. the answer is the first one
Brian makes 8% commission on sales. Weekly says total 4580, what is his Commission
Answers
To find Brian's commission, multiply his weekly sales of $4,580 by his commission rate of 8%. His commission for the week would be $366.40.
Explanation:To calculate Brian's commission, we need to apply the commission rate to his total weekly sales. Since his commission rate is 8%, we can calculate the commission by multiplying his total sales (
$4,580) by 0.08.
The calculation would be as follows:
Commission = Total Sales x Commission Rate
Commission = $4,580 x 0.08
Commission = $366.40
Therefore, Brian will earn a commission of $366.40 on his weekly sales.
How do you write mixed numbers or fractions as decimals?
Answers
Asta needs a spanner for a 5-8 inch nut on her camping stove.
The shop sells 12mm spanners, 14mm spanners and 16mm spanners.
Asta knows that 1 inch = 2.54cm
What is the best size spanner for asta to buy?
Answers
After conversion, a 5-8 inch nut would require a spanner size between 127mm to 203.2mm. Unfortunately, the available spanner sizes (12mm, 14mm, 16mm) are all too small.
Explanation:To find out which spanner Asta needs, we first need to convert the inch measurements to millimeters (mm), as the spanners are sold in mm. Asta's nut size is 5-8 inches. She knows one inch equals 2.54cm. To convert these to mm, we multiply the values by 10 as 1cm is equal to 10mm. So, 5 inches equals 127mm and 8 inches equals 203.2mm. Given the available sizes of spanners (12mm, 14mm, and 16mm), none of these would fit her nut, as they are all far too small.
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What is the correct meaning of the word guarantor ?
During the new deal of the 1930s the federal government acted as a guarantor of economic security
A) one who provides assurance of something
B) one who is the original source of something
C) one who gradually reduces something
D) one who rebuilds or restores something
Answers
The words and their correct definitions are:
Restoration - To return something to its original state
Method - A way of doing something
Annexation - To legally take control of another territory and add it to one's own
Protectorate - A country that is defended or protected by another country
Modernize - To begin to use the newest technology or knowledge
What do the words mean?A protectorate refers to a nation that is protected by another nation such as Bechuanaland before 1966. Modernization allows for people to use newer methods of doing things.
Methods are how people go about doing something and annexing a territory means adding it to a nation's territory like the Russians did with the Crimea.
Hence, The words and their correct definitions are:
Restoration - To return something to its original state
Method - A way of doing something
Annexation - To legally take control of another territory and add it to one's own
Protectorate - A country that is defended or protected by another country
Modernize - To begin to use the newest technology or knowledge
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complete question:
Words to know
Match each vocabulary word with the correct definition.
Restoration
A country that is defended or
protected by another country
Method
To legally take control of another
territory and add it to one's own
Annexation
OOOOO
To return something to its original
state
Protectorate
To begin to use the newest
technology or knowledge
Modernize
A way of doing something
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey: Hamburgers Spaghetti Pizza Sample #1 13 43 44 Sample #2 20 41 39 Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti and pizza are preferred almost equally.
Hamburgers are two times more popular than pizza.
Hamburgers are two times more popular than spaghetti.
Answers
Answer:
Spaghetti and Pizza are preferred almost equally.
Step-by-step explanation:
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred based on his observation the table of the following is given as:
Hamburgers Spaghetti Pizza
Sample 1: 13 43 44
-----------------------------------------------------------------------
Sample 2: 20 41 39
-------------------------------------------------------------------------
Total: 33 84 83
By looking at the table we see that the total number of spaghetti and Pizza chosen are almost equal as:
Total number of Spaghetti preferred=84.
and Total number of Pizza preferred=83.
Answer:
d
Step-by-step explanation:
Allie sold oatmeal cookies at a stand for two days. She made 35.20 on the first day. She used 1/4 of this money to buy more supplies for the next day. How much money did Allie use to buy more supplies for the next day
Answers
= 35.20 * 1/4
multiply numerators
= (35.20 * 1)/4
=35.20/4
divide
= $8.80
ANSWER: $8.80 was used to buy more supplies
Hope this helps! :)
Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
Answers
Claire’s mother is 4 years more than twice Claire’s age = 2x + 4
The sum of their ages is 58 years:
x + 2x + 4 = 58
3x + 4 = 58
3x = 54
x = 18
Claire's age = 18
Claire’s mother = 2(18)+4 = 36 + 4 = 40
claire's mothers age = 2x+4 ( 4 more than twice claire's age)
sum is addition
x + 2x+4 = 58
add like terms ( x +2x = 3x)
3x +4 = 58
subtract 4 from each side:
3x = 54
divide both sides by 3
x = 54 /3
x = 18
Claire is 18 years old
Claire's mother is 2*18 = 36 +4 = 40 years old
All front and backyards in Alan's neighborhood are equal in size. Alan can mow his front and back lawns combined in about 45 minutes. If he is to mow both his front and backyard, along with the neighbor's front yard, how long will it take Alan?
Answers
Answer: 67.5 minutes
Step-by-step explanation:
Since the front and backyard are the same size, then Alan will take the same time mowing them. So, if he takes 45 minutes mowing both of them, that means that he took half the time mowing the front and the other half mowing the backyard.
[tex]\frac{45}{2} =22.5[/tex]
The neighbor's front yard is the same size as well, so it will take him the same time.
[tex]45+22.5=67.5[/tex]
Then, the total time that Alan takes mowing the three yards is 67.5 minutes.