Answer:
370 000
As it varies directly we know the values are directly proportional.
This means we can calculate the ratio of people to tons of pollutants and apply it to 500 000
So, 29600/40000= 0.74
Now, 500 000 × 0.74 = 370000
Answer: 370000 t
Step-by-step explanation:
[tex]40000 ~p - 29600 ~ t \\\\ 500000 ~ p- x ~ t \\\\ x=\dfrac{500000\cdot 29600}{40000}=\dfrac{50\cdot 29600}{4} =7400\cdot 50 =\bf 370000 \ t[/tex]
A basket contains 12 red balls and 8 yellow balls. One ball is picked at random and not replaced, and then a second ball is picked at random from the remaining balls. What is the probability of a red ball followed by a yellow ball
Answer:
12/20, 8/19
Step-by-step explanation:
Kylie measured her heart rate after cheer practice for 3 minutes. Her heart beat 246 times. What is her unit rate?
Answer:
738 times
Step-by-step explanation:
trough dependent sarcasm
By selling a cow for Rs 144, there is a profit of the same percentage as its cost price. Find the cost price.
Answer:
Step-by-step explanation:
☼︎Answer:The cost price of cow = Rs.80
Explanation:
☼︎Given :-By selling a cow for Rs 144, there is a profit of the same percentage as its cost price.☼︎To Find:-The cost price.☼︎Let:-The cost price of cow = Rs.x☼︎Solution :-[tex] \sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}[/tex]
Hence:The cost price of cow =Rs80
Step-by-step explanation:
The cost price of cow =Rs80
What is 9 times two thirds
Answer:
6
Step-by-step explanation:
9*2/3=3*2=6 (Cross Cancelling)
Answer: 6
Step-by-step explanation:
So basically, you can figure this out by turning 9 into a fraction, which is [tex]\frac{9}{1}[/tex]. So,
[tex]\frac{9}{1}[/tex] x [tex]\frac{2}{3}[/tex] and multiply it across. So 9 x 2 is 18, and 1 x 3 is 3, so that gets us to [tex]\frac{18}{3}[/tex]. And since this is an improper fraction, we divide 18 by 3 to get 6! Hope this helps! :)
A hotel reservation number consists of 3 digits, followed by 3 letters, followed by 3 digits. How many different reservation numbers are possible?
Step-by-step explanation:
since there are 26 letters in the alphabet
and there are 10 numbers
without restrictions
10×10×10×26×26×26×10×10×10=17,576,000,000 reservation numbers are possible
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different reservation numbers that are possible is 17,576 × 10⁶.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that A hotel reservation number consists of 3 digits, followed by 3 letters, followed by 3 digits.
Since each place can be taken by the digits each place will have 10 possible outcomes, [0,9]. Similarly for each place that can be taken by the alphabet can be taken by 26 different digits.
Therefore, the number of different reservation numbers that are possible is,
Number of different reservations = 10 × 10 × 10 × 26 × 26 × 26 × 10 × 10 × 10
= 17,576 × 10⁶
Hence, the number of different reservation numbers that are possible is 17,576 × 10⁶.
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From 77 books to 128 books
4% of a number is what fraction of that number?
Answer:
1 / 25
Step-by-step explanation:
4% in fraction form is 1 / 25
Hello there! (:
4% =4/100
Our fraction can be simplified:
2/50
Divide by 2, because it's not it its simplest form:
1/25
Hope it helps!
#CarryOnLearning
[tex]SparklingFlower[/tex]
Copy the figure at right. Calculate the measure
of each lettered angle. Explain
how you determined the
measures d and h.
The angles of each letter are as follows:
∠a = 124°
∠b = 56°
∠c = 56°
∠d = 38°
∠e = 38°
∠f = 76°
∠g = 66°
∠h = 104°
∠k = 76°
∠n = 86°
∠p = 38°
∠a = 180 - 56 = 124°(total angle on a straight line)
∠b = 56°(vertically opposite angles)
∠c = 56°(corresponding angle to ∠b) Note this is possible because there are 2 parallel lines and a transversal.
2∠d + ∠d + 66 = 180 (sum of angles in a triangle)
3∠d = 180 - 66
3∠d = 114
∠d = 114 / 3
∠d = 38°
∠d = ∠e (given)
Therefore,
∠e = 38°
∠d + 66 + ∠f = 180
38 + 66 + ∠f = 180
∠f = 76°
Recall external angle of a triangle is equals to the sum of the opposite angles. Therefore,
∠f + ∠g = ∠d + ∠h
∠f + ∠g = 38 + 104
76 + ∠g = 142
∠g = 66°
∠d is one of the base angles of an isosceles triangle. Therefore base angles of the isosceles triangle are equal. This means the other base angle opposite ∠d in the isosceles triangle is congruent to ∠d.
Therefore,
2∠d + ∠h = 180(sum of angles in a triangle)
76 + ∠h = 180
∠h = 180 - 76
∠h = 104°
∠h + ∠k = 180 (sum of angles on a straight line)
∠k = 76°
∠n = 180 - ∠d - ∠c (angles on a straight line)
∠n = 86°
∠p = 180 - 56 - ∠n (sum of angle in a triangle)
∠p = 38°
Therefore, the angles of the letters are:
∠a = 124°
∠b = 56°
∠c = 56°
∠d = 38°
∠e = 38°
∠f = 76°
∠g = 66°
∠h = 104°
∠k = 76°
∠n = 86°
∠p = 38°
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A student has some 1 bills and $5 bills in his wallet. he has a total of 17 bills that are worth $57. how many of each type of bill does he have?
What is an equation of the line that passes
through the point (6, 7) and is parallel to
the line 2x – 3y
3y = 9?
Answer:
10$)_(:+5!_(3!
Step-by-step explanation:
(*4!(*!✓|✓¥×•✓¥{€✓®
When purchasing a new bike, 38% of customers
also buy a new helmet. If the bike shop sells 105
bikes next month, about how many customers are
predicted to also buy a new helmet?
Answer:
39
Step-by-step explanation:
105 times 0.38
multiply and get 39.9
you can't have a decimal of a person, so round down
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
A person walks 127 steps i’m 183 seconds. Calculate how many steps this person would take in 1000 seconds.
Answer:
127/183 = 693.9 (or 694)/ 1000
Step-by-step explanation:
Hope this helps :)
The picture is up there
Answer: [tex]2\sqrt{3}[/tex]
Step-by-step explanation:
Simplify the following radical:
[tex]\sqrt{12}[/tex]
Find the prime factors of 12:
2² × 3
[tex]\sqrt{2^{2} (3)}[/tex] = [tex]2\sqrt{3}[/tex]
HELLPPP PLEASE
a(b - 1)2 when a = 8 and b=4
Answer:
72
Step-by-step explanation:
Don't worry my friend, we have the power of order of operations!!
Okay, so first start by replacing the variables with the given numbers.
a(b - 1)^2 = 8(4 - 1)^2
Now do whats in the parentheses.
(4 - 1) = (3)
Next, we do 3 x 3 . This is because the three is squared.
(3)^2 = 9
Finally, multiply by 8.
8 (9) = 72
Hope this helped! Please comment wether it does or not. :)
How much should you invest at 2.6% simple interest in order to earn $75 interest in 8 months?
Answer: Total interest will $1800 after 5 years.
Step-by-step explanation: It is given that the principle amount is $6000.
Rate of interest rate is 6% per annum.
Total interest is $1800.
Formula for simple interest is
Where, P is principle, r is rate of interest in percent and t is time in years.
Substitute P=6000, r=6 and I=1800 in the above formula.
Divide both sides by 360.
Therefore the total interest will $1800 after 5 years.
Adam leases a car with an upfront payment of $3,069 and monthly payments of $205.
Assuming there are no additional charges, what will be the total cost of a two-year
lease?
Answer:
Total cost of the lease = $7,989
Step-by-step explanation:
12 months = 1 year. So 2 year = 24 months.
Total cost of the lease = (Monthly cost × number of months) + Upfront pay
Total cost of the lease = ( $205 × 24) + $3,069
Total cost of the lease = $4,920 + $3,069
Total cost of the lease = $7,989
Consider the line y = - 5/4 x+7
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
-5/4
4/5
Step-by-step explanation:
Given expression ,
=> y = -5/4x + 7
Comparing to the slope intercept form,
m = -5/4As we know that the slope of two parallel lines is same . So the slope of the line parallel to given line will be -5/4 .
Again we know that the product of slope of two perpendicular lines is-1 . Hence ,
=> m' * -5/4 = -1
=> m = 4/5
Answer:
parallel: -5/4; perpendicular: 4/5
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have the slope that is the negative reciprocal of the original slope (basically the upside down negative slope)
A cheetah can run 50 mph at this rate how many minutes would it take a cheetah to run 2.5 miles
Answer:
3 minutes
Step-by-step explanation:
time = distance / speed
t = 2.5 / 50
t = 0.05 hours
0.05 hr * 60minutes /hr = 3 minutes
3 minutes
The table below shows the number of petals and leaves for different numbers of flowers.
How many petals are present when there are 12 leaves?
Answer:
30
Step-by-step explanation:
One number exceeds another by 20 and their sum is 30. Find the two numbers.
Answer:
25 & 5
Step-by-step explanation:
x+x+20=30
2x+20=30
2x=10
x=5
x+20=25
If One number exceeds another by 20 and their sum is 30 then the two numbers are 5 and 25.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that One number exceeds another by 20 and their sum is 30.
By the given data the two numbers are x+20 and x
As the sum of two numbers is 30
x+x+20=30
Add the like terms
2x+20=30
Subtract 20 on both sides
2x=10
Divide both sides by 2
x=5
So the two numbers are 5 and 5+20 which is 25
Hence, the two numbers are 5 and 25.
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Find the nth term of the sequence 25 40 55 70 85
Answer:
145
Step-by-step explanation:
just keep adding 15. Or there are 5 numbers in the sequence already so
9-5=4
4×15=60
85+60=145
In an ice chest there are
10 waters,
6 fruit drinks and 7
sodas. Assume each container is the same size.
If a drink is chosen randomly, then what is the probability that a fruit drink is NOT chosen?
Answer:
17/23
Step-by-step explanation:
total number of drinks = 10+6+7=23
forgetting the 6 fruit drinks
p(no fruit drink is chosen)=(10+7)/23 =17/23
Can someone please tell me the steps I would have to take in order to answer the question below?
Answer:
Step-by-step explanation:
Add all sides together and set equal to 360
x+1 + x+2 + x+3 + x+4 =360
Combine Like Terms
4x + 10 = 360
get rid of the ten on both sides
4x = 350
Divide both sides by 4
x = 87.5
Five more than three times a number is three hundred five.Find the number
Answer:
15
Step-by-step explanation: trust me i have had the before
Please help me
Will only give brainly of you actually answer the questions
Determine if the equation x-3y^2=1
Add 3y² to both sides of the equation.
x = 1 + 3y²
- Vocab
· Equation
A mathematical statement that says two expressions have the same value; any number sentence with an = .
· Expression
A mathematical symbol, or combination of symbols, representing a value, or relation.
· Combination
A selection in which order has no importance.
problem referred below
Step-by-step explanation:
since x=0
then the answer is (1-0)(1+0)
= 1×1
=1
I have shown my answer on that picture that I have attached
A student has scores of 73, 75, and 84 on his first three tests. He needs an average of at least 80 to earn a grade of B in the class. What is the minimum score that the student needs on the fourth test to ensure a B?
The student needs a minimum score of
on the fourth test to ensure a grade of at least a B.
Question HelpQuestion 28: Video1
Answer:
88%
Step-by-step explanation:
(73+75+84+x)/4=80
x4 to both sides
73+75+84+x=80x4
73+75+84+x=320
232+x=320
x=320-232
x=88
Answer:
88
Step-by-step explanation:
80*4 = 320 320- (73 + 75 +84 ) = 88 we can cross out 320/80 = 32/8 and 232/320 = 232 /4 (320/4) and divide each side by 4 = 58 / 80 then 29/40 = 40-29 = 11 then decimalise /10 = 1.1 then multiply 80 * 1.1 = 88
please help i'll mark brainliest
Answer
Isosceles
Step-by-step explanation:
You know two points for the leg (4,3) and (3,4). If you look at the x coordinate you know that one of the legs will be longer than the other because 4>3. So the triangle is isosceles.
SESSION 4
NDIV
4 Franklin uses 3 eggs to make a large omelet and 2 eggs to make a small omelet.
How many eggs does he need to make 5 large omelets and 4 small omelets?
14 eggs
B 22 eggs
© 23 eggs
0 26 eggs
Answer:
Which traits did Ben Franklin want to develop in himself?
Generosity, kindness, tolerance
Helpfulness, love, involvement
Acceptance and knowledge of the world
Temperance, efficiency, sincerity, and the avoidance of idleness and extravagance
Step-by-step explanation:
