Answer: 144
Step-by-step explanation: (2+2+2)(2)(6)(2)
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
Can anyone help me pls
Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent
Answer:
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).
Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.
Hence:
m∠1 + m∠2 = 180°
m∠2 + m∠3 = 180°
Using substitution property:
m∠1 + m∠2 = m∠2 + m∠3
subtracting m∠2 from both sides:
m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2
m∠1 = m∠3
∠1 and ∠2 are congruent
Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
if you can help please do :)
Step-by-step explanation:
A
[tex]180 - 60 - 70 = 50 \\x = 180 - 50 = 130 \\ x = 130[/tex]
least common multiple of 35 and 15
PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches
Answer:
The height = 18 inches
Step-by-step explanation:
The volume = area of the base × height
Area of the base = 40.5 inches²
The volume = 729 inches³
729 = 40.5 × height
Height = 729 ÷ 40.5 = 18 inches
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+4)
41°
81°
20x-3y = 4 and 3x -y = -5
Answer:
Step-by-step explanation:
3x-y=-5
y=3x+5
20x-3(3x+5)=4
20x-9x-15=4
11x=19
x=[tex]\frac{19}{11}[/tex]
y=3([tex]\frac{19}{11}[/tex])+5
y=[tex]\frac{112}{11}[/tex]
Ales read 1/3 of a book Monday. 28 pages Tuesday . still has 1/3 left to read. how many pages in book
Answer:
there are 84 pages in the book.
Step-by-step explanation:
let's call the pages in the book b.
1/3b + 1/3b + 28 = b
2/3b + 28 = b
subtract 2/3b from both sides of the equation
2/3b - 2/3b + 28 = b - 2/3b
28 = b - 2/3b
28 = b/3
multiply both sides of the equation by 3
28 * 3 = b/3 * 3
28 * 3 = b
84 = b
Answer:
The book has 84 pages
Step-by-step explanation:
Equations
Let's make:
x = number of pages of the book
Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:
[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]
Multiplying by 3:
[tex]x+84+x=3x[/tex]
Simplifying:
x = 84
The book has 84 pages
3 ÷ 1/8 simplified dont use calculator the answer is not 24
Answer:
Step-by-step explanation:
Since we converted 3 1/8 to 25/8, this is actually (25/8)/100. This simplifies to: (25/8)/100 = 25/(8*100) = 1/8 * 25/100 = 1/8 * 1/4 or 1/(4*8) = 1/32. A simplest fraction is a fraction of the form a/b where a and b share no factors other than 1. And 1/32 is the simplest fraction you can get.
Answer: 24/1
Step-by-step explanation:
The answer is 24....maybe just add the 1 under it
4.) What is the better buy?:
$5 for 8 pens
OR
$32.50 for 50
pens?
Show your work.
Answer:
$5 for 8 pens
Step-by-step explanation:
0.625 times 8= 5 dollars
0.625 times 50= 31.25
which is way cheaper
Answer:
5 for 8 pens
Step-by-step explanation:
I did it on a paper.
Lol
Which theorem or postulate proves that △ABC and △DEF are similar?
The two triangles are similar by which postulate or theorem?
SAS Similarity Theorem
SSS Similarity Theorem
AA Similarity Postulate
Answer:
AA Similarty
Step-by-step explanation: We are given that two angles are congruent so we use AA SImilarity. Stating that if two angles are congruent, then the figures are similar.
The postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.
What is the AA Similarity Postulate?The AA similarity postulate states that when two triangles have two pairs of corresponding angles that are congruent to each other, the two triangles are regarded as similar triangles.
Thus, triangles ABC and DEF have:
two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.
Therefore, the postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.
Learn more about the AA Similarity Postulate on:
https://brainly.com/question/2166570
pls pls pls help i’m so confused
Answer:
x=50
hope it helps........
Answer:
50°
Step-by-step explanation:
Thousands of years ago, a group of people called the Sumerians decided that, since a year is roughly 360 days, 360 was a nice number of parts to split a circle into (that, and it's a very easy number to divide up into smaller parts without dealing with
Complete the following statements.
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains fluid ounces of liquid.
The soda bottle contains gallons of liquid.
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains quarts of milk.
The milk jug contains liters of milk.
Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
What is √9 (a very dum question)
Answer:
3 lol
Step-by-step explanation:
It’s not dum lol
Answer:
3
Step-by-step explanation:
yea
Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.
Answer:
They'll be on page 72
Step-by-step explanation:
Kaylee:
Current page = 24
Page per day = 16
Page, K, Kaylee is on at end of t days
K = current page + (page per day * Number of days)
K = 24 + 16t
Josiah:
Current page = 50
Page per day = 14
Page, J, Josiah is in at the end of t days
J = current page + (page per day * Number of days)
J = 50 + 14t
To be on the same page ;
K = J
24 + 16t = 50 + 14t
24 - 50 = 14t - 16t
- 26 = - 2t
t = 13
After 13 days, they'll be on same page :
K = 24 + 16(13)
K = 24 + 48
K =72
They'll be on page 72
Find the slope of the two coordinates:
(2, 4) and (4, 14)
Write the equation of the line in Point-Slope Form
using the first coordinate.
Answer:
3,6
Step-by-step explanation:
Find the perimeter of the following shape:
Answer:
itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.
Step-by-step explanation:
Given that P=x+y. Find P when: x=−5 and y=−3
Answer:
P = - 8
Step-by-step explanation:
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8
1) All birds can fly. (2) Penguins are birds. Therefore, (3) Penguins can fly. Question 1 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
The correct Answer is - Fails the true premises test and passes the proper form test.
Step-by-step explanation:
Given,
The first premise is - All birds can fly
The second premise is - Penguins are birds
Conclusion - Penguins can fly
As we know that all birds cannot fly , so first premise is not true.
Penguins is a bird , it is true . So second premise is true.
As , to pass the true premise test, both premises has to be true
But here, in this question , one premise is not true
So, it Fails the true premises test.
As the argument is valid
If the premises is true , then the conclusion is valid
So, it passes the proper form test.
what are the factors of 15
Answer:
[tex]factors \: of15 = 3 , 1\: and \: 5[/tex]
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. To estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. The biologist checked for the following.
(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.
Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.
Step-by-step explanation:
(200) (0.06) >= 10
(200) (0.94) >=10
(197)(0.086) >=10
(197)(0.914) >= 10
We test the sample proportions of it is normal :
Deer population 1:
Sample size, n1 = 200
Proportion, p1 = 0.06
q = 1 - p = 1 - 0.06 = 0.94
n1 * p = 200 * 0.06 = 12
n1 * q = 200 * 0.94 = 188
Deer population 2:
Sample size, n2 = 197
Proportion, p = 0.086
q = 1 - p = 1 - 0.086 = 0.914
n2 * p = 197 * 0.086 = 16.94
n2 * q = 197 * 0.914 = 180.06
Since for samples and proportions ;
n*p and nq ≥ 10 ;
We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.
The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.
Given :
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. A random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region.For dear population 1, the sample size is 200 and proportion is 0.06.
[tex]\rm q_1 = 1-p_1=1-0.06=0.94[/tex]
[tex]\rm n_1p_1=200\times 0.06=12\\[/tex]
[tex]\rm n_1q_1=200\times 0.94 = 188[/tex]
Now, for dear population 2, the sample size is 197 and the proportion is 0.086.
[tex]\rm q_2 = 1-p_2=1-0.086=0.914[/tex]
[tex]\rm n_2p_2=197\times 0.086=16.94[/tex]
[tex]\rm n_2q_2=197\times 0.914 = 180.06[/tex]
Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.
So, the correct option is e).
For more information, refer to the link given below:
https://brainly.com/question/795909
2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)
Answer:
=2/3
Step-by-step explanation:
Rotate 90° counterclockwise about the origin.
M (3.2), N'(5,5), P'(4,5), Q'(2, 2)
M"1-2.3). N'(-5,5), P'(-5.4), (-2,2)
M(-2,-3). N'(-5.-5), P'(-5.-4). Q'-2,-2)
M*2.3). N'(5,5), P75,4), Q (2.2)
Answer:
it should be the second one
Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)
Answer:
A,EStep-by-step explanation:
Edge 2021
The expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
What are Equivalent Expressions?Equivalent expressions are expressions that have the same values when evaluated or simplified.
Given:
7(-¾x - 3)
Open the bracket
7(-¾x) -7(3)
-5¼x - 21
Therefore, the expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
Learn more about equivalent expressions on:
https://brainly.com/question/22365614
find the height of the cylinder if the volume is 340, and the length is 3
Answer:
113
Step-by-step explanation:
divide the volume with the length
Four of our eight planets are gas giants.
The rest are made of rock. What fraction
of our planets are gas giants?
Answer:
half of them 50% .5 4/8 1/2
Answer:
4/8 or 1/2 or 50%
Step-by-step explanation:
According to your info in the question:
4 planets are gas giants.
8 total planets.
4 / 8 simplified is 1/2
A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?
Answer:
$16.5
Step-by-step explanation:
25 % of 22 is 5.5
22 - 5.5 = 16.5
The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.
Given that the original price of a DVD is $22, that means the cost of the DVD is $22.
This week the sale on the original price of a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.
Here, calculate the discount on the original price of a DVD.
[tex]Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5[/tex]
The discount is $5.5 on the original price of a DVD.
Therefore, the sale price of a DVD on this week after the discount:
[tex]Sale\ price= \$22-$5.5\\Sale\ price=\$16.5[/tex]
Thus, the sale price of a DVD is $16.5.
Learn more about Discount here:
https://brainly.com/question/5182397
#SPJ2
A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?
Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. What percent of the students from the high school go on to college
Answer:
54% of the students from the high school go on to college
Step-by-step explanation:
We have these following percentages:
30% of the students from a high school face a disciplinary action of some kind before they graduate. Of those, 40% go on to college.
70% do not face action, and of those, 60% go to college.
What percent of the students from the high school go on to college?
Sum of 40% of 30%(face disciplinary action) and 70% of 60%(do not
face disciplinary action). So
[tex]0.4*0.3 + 0.7*0.6 = 0.12 + 0.42 = 0.54[/tex]
54% of the students from the high school go on to college