For each expression, combine like terms.
Shawn is typing a paper for class. He can type 1 5/11 pages in 1/ 3 of an hour. How many pages can Shawn type in one hour?
A 1 3/11
B 1 8/11
C 4 4/11
D 5 9/11
Answer:
the amount of pages typed after 1/3 of an hour is given. Multiply this number by 3 to get the full hour of pages types.
1 5/12 * 3 = 3(1) + 3(5/12)
= 3 5/4
= 4 1/4 pages
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Answer: 180
Step-by-step explanation:
In rectangle ABCD, AD=200, and diagonal AC=90, what is the perimeter of ABCD
Answer:Length = 200
Breadth=90
perimeter of rectangle
[tex] = 2(l + b) \\ = 2(200 \times 90) \\ = 2 \times 18000 \\ = 63000[/tex]
Hope it helped
PLS mark BRAINLIEST
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Answer:
take a better picture can't see what it says
Find the volume:
Please help ASAP
Answer:
6,666.67cube units
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height of the pyramid
Base area = Length * length
B = 25 * 25
B = 625 square units
Height = 32units
Volume = 625*32/3
Volume = 6,666.67cube units
If angle A and angle B are supplementary, and their measures are (3x + 50)o and (7x + 10)o
respectively, find x, the measure of angle A and the measures of angle B.
Answer:
20 x
Step-by-step explanation:
A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14 13,829 1600 35,538 23,309
Answer: The age of the fossilized leaf is 13829 years.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant = 100
a - x = amount left after decay process = [tex]\frac{18}{100}\times 100=18[/tex]
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]
[tex]k=\frac{0.693}{5600years}=0.00012years^{-1}[/tex]
b) for finding the age
[tex]t=\frac{2.303}{0.00012}\log\frac{100}{18}[/tex]
[tex]t=13829years[/tex]
The age of the fossilized leaf is 13829 years.
The fossilized leaf is 13855 years old.
Half life is given by:
[tex]N(t)=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\Where\ N(t)\ is \ the \ value\ of\ the\ substance\ after\ t\ years,N_o\ is\ the\\original\ value\ and\ t_\frac{1}{2} \ is\ the\ half\ life[/tex]
Given that half life = 5600 years, N(t) = 18% of normal amount = 0.18N₀. Hence:
[tex]0.18N_o=N_o(\frac{1}{2} )^\frac{t}{5600} \\\\0.18=(\frac{1}{2} )^\frac{t}{5600}\\\\ln(0.18)=\frac{t}{5600}ln(0.5)\\\\t=13855\ years[/tex]
The fossilized leaf is 13855 years old.
Find out more at: https://brainly.com/question/4483570
Which describes where living and nonliving parts of an environment interact with and rely on each other?
A.
community
B.
ecosystem
C.
habitat
D.
population
Answer:
B
Step-by-step explanation:
Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.
pitso went to buy ingredients for 48 minutes and came back at 16h15 .his friend claimed that he left half past 3p.m . verify hisd. claim
Answer:
His claim is false.
Step-by-step explanation:
People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
How do you fnd the total amount of an interest paid? The question is "Find the total amount of interest paid one a principal of $2600 at a rate of 12% calculated per annum over 3 years." and I'm not sure how to figure it out
Answer:
936
Step-by-step explanation:
Because 12%of 2600= 312
or 0.12×2600=312 for the first year
so multiply by 3 to get interest for 3 years
312 × 3 =936
A farmhouse shelters 11 goats and ducks.Altogether,there are 34 legs.How many of each animal are there?
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Answer:
k = 2
Step-by-step explanation:
9 = k(6) - 3
12 = 6k
k = 2
Answer:
k = 2
Step-by-step explanation:
We know that in the coordinates (6, 9) 6 is X and 9 is Y. So, we can just plug that into the equation in the problem to get 9 = 6k - 3. Then, after solving, we get the answer as k = 2.
what are image of 5/2 slope
Answer:
2/5
Step-by-step explanation:
you switch the numbers from the equation
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What is the missing side?
Answer:
90
Step-by-step explanation:
the forumla of a triangle is base times height, divided by 2 and since it has a height of 12 and a base of 15, and if you multiply that it would give you 180, then divide by 2 since it is half a sqaure, which is 90
Answer:
[tex]3 \sqrt{41}[/tex]
Step-by-step explanation:
[tex]12^2 + 15^2 = x^2 \\x = \sqrt{369} = 3\sqrt{41}[/tex]
SIMPLIFICAR 36/144 POR FAVOR PLISSS
Answer:
Divide both the numerator and denominator by the GCD
36 ÷ 36
144 ÷ 36
Reduced fraction:
1/4
Therefore, 36/144 simplified to lowest terms is 1/4.
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PLEASE HELPPP look at attachment
Answer:
D; is the right answer hope it helps ;)
Step-by-step explanation:
Find the value of x.
Please help me friendsss?
Answer:
I believe it is E. 95.
Hope this helps! Sorry if it doesn't!
Answer:
85
Step-by-step explanation:
180°-50°-35° = 95
180°-95° = 85°
sorry if I got it wrong
Ann wants to have dinner ready at 6:00p.m. A chicken casserole takes 35 minutes to bake and 15 minutes to prepare. After the casserole is done, Ann has rolls to warm up in the oven for five minutes. What time should she start preparing the casserole? I will Brainliest
a.4:55 p.m. b.5:00 p.m. c.5:05 p.m. d.5:10 p.m.
Answer:
5: 05
Step-by-step explanation:
35 + 15 + 5 = 55
60 - 55 = 05
5:05
Answer: 5:05 pm. (C)
Step-by-step explanation:
For this, you have to add up the times. 35+15+5. That is 55 minutes. If it would take 55 minutes, you will want to subtract 55minutes from the time you want it to be done. This will give us 5:05pm.
Sorry if it is blurry but can you give me the answer plsss
Answer:
A) 7
Step-by-step explanation:
25% = 0.25
28 x 0.25 = 7
What is the volume of the following rectangular prism?
3
20
units2
2.
units
3
Volume
units
-
Answer:
1/10 units^3
Step-by-step explanation:
3/20 x 2/3 = 6/60 = 1/10 units^3
Answer:
3
Step-by-step explanation:
A scuba diver starts her dive at an elevation of 0 feet. If her elevation changes by 40 1/2
feet per minute, what will be her elevation after 3 minutes?
Answer:
121.5
Step-by-step explanation:
40.5*3=121.5
The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,
What does 10 represent?
o A. the height of the bird's nest
OB. the bird's speed
O C. the distance the bird flies from its nest
o D. the flight time of the bird
I don't have any clueeeee????!!!!!!
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{1}{6}[/tex] = [tex]\frac{x}{12}[/tex] ( cross- multiply )
6x = 12 ( divide both sides by 2 )
x = 2
What type of angle relationship is shown?
Answer:
straight angle
Step-by-step explanation:
9x_15+2x_3=180
11x_18=180
11x=180+18
11x=198
x=198÷11
x=18
Answer:
The angles are a linear pair.
x = 18
Step-by-step explanation:
The angles are a linear pair, meaning the angles add up to 180 degrees.
(9x - 15) + (2x - 3) = 180
11x - 18 = 180
11x = 198
x = 18
the sum of two consecutive even integers is 122. what are the integers?
Answer:
If the numbers were the same, they'd both be 61
So, try 60 and 62.
x + x+2 = 122
2x = 120
x = 60
Hope that helps!
Answer:
60 and 62
Step-by-step explanation:
To find the answer we need to set up our problem.
For the two consecutive even integers we can call them x and x+2, as adding 2 to x will give us the next even number.
Then we form our equation:
x+x+2=122
Since we have two x we can combine them into a single term
2x+2=122
We then subtract 2 from both sides
2x=120
Divide by 2
x=60
Find the second number by inserting it into
x+2
60+2=62
Can someone please write this as a single logarithm and show work please and thank you
Answer:
[tex]log_b(w^3y^4)[/tex]
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that [tex]log_ax^r = rlog_ax[/tex]. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
[tex]3log_bw+4log_by\\=log_bw^3+log_by^4[/tex]
2) The product property of logarithms states that [tex]log_axy = log_ax+log_ay[/tex]. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of [tex]w^3[/tex] and [tex]y^4[/tex]. Apply the property as seen below and find the final answer.
[tex]log_bw^3+log_by^4\\=log_b(w^3y^4)[/tex]
So, the answer is [tex]log_b(w^3y^4)[/tex].
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Answer:
number 4
Step-by-step explanation: