Answer:
3.75
Step-by-step explanation:
Have a nice day :>
There are a total of 120 counters in a box.
There are only red counters and blue counters in the box.
There are three times as many red counters as blue counters in the box.
Carl takes
1
of the red counters from the box.
3
Kerry takes 80% of the blue counters from the box.
Work out the ratio of the number of red counters to the number of blue counters now in the
box.
Give your ratio in its simplest form.
Answer:
The ratio of red to blue would be 60: 6 which can be simplified to 10:1.
The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1
What is ratio ?Ratio is the comparison of two quantities in terms of same units.
Example : If a & b be two numbers, then the ratio is a/b, where b≠0
What is the required ratio ?Let Blue counters = x
Red counters would be = 3 times of blue counters = 3x
There are a total of 120 counters in a box.
First we have to find, the number of red and the number of blue counters:
3x + x = 120
⇒ 4x = 120
⇒ x = 120/4
⇒ x = 30
There are 30 blue counters.
Red counters = 3×30 = 90
Carl took 1/3 of the red, 90 / 3 = 30, so there were 60 red counters left in the box.
Kerry took 80% of the blue, 30 * 0.80 = 24, so there were 6 blue counters left in the box.
The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1.
Learn more about ratio here :
https://brainly.com/question/20841591
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A playground is shown below. What is the area of the playground?
Answer:
217
Step-by-step explanation:
You would do the area of the big rectangle and subtract the areas of the two triangles. The triangles add up to 63 and the rectangle is 280 ft^2
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answers:
9) 16/100 = 8/50 = 4/25
10) >
-2(x + 2) =
Please help
Answer:
-2x - 4
Step-by-step explanation:
Is your expression
-2 x x = -2x
-2 x 2 = 4
therefore, your expression would be:
-2x - 4
Answer:
-2(x + 2)= -2x - 4
Step-by-step explanation:
Express as a difference. 7+3. Please explain.
Answer:
7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question
Step-by-step explanation:
The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]
Difference of numbers :
We have to express 7 + 3 as difference of two number.
As we know that,
[tex]a-(-b)=a+b[/tex]
In above expression, (a + b) is difference of two number a and -b.
Similarly,
[tex]7+3=7-(-3)[/tex]
Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]
Learn more about the difference of number here:
https://brainly.com/question/18591813
linda bought 1 shirt and 2 ties at the same store. What is the total price, in dollars and cents, of Linda's purchase?
What is the factored form of y^2 + xy − 6x^2?
Answer:
(y-2x)(3x+y)
B
Answer:
[tex]B. \left(y-2x\right)\left(y+3x\right)[/tex]
Step-by-step explanation:
[tex]y^2+xy-6x^2[/tex]
Break the expression into group:
[tex](yx^{2} -2xy)(3xy-6x^{2} )[/tex]
factor out [tex]y[/tex] from [tex]y^{2} -2yx:y\left(y-2x\right)[/tex], and factor out, [tex]3x[/tex] from [tex]3yx-6x^2:3x\left(y-2x\right)[/tex]
[tex]y\left(y-2x\right)+3x\left(y-2x\right)[/tex]
Now, factor out common terms: [tex]y-2x[/tex]
[tex]\left(y-2x\right)\left(y+3x\right)[/tex]
_________________
OAmalOHopeO
If a person walks 16 miles in 10 minutes, how far will that person walk in one hour?
Answer:
too far to be human
Step-by-step explanation:
in 10 mins i walk 1 mile
Answer:
96 miles
Step-by-step explanation:
There are 60 minutes in 1hr so 10*6= 60
16*6= 96
:)
Find the error then show the correct way step by step.
Question 4
The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:
[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]
Distrubute -3 into the parentheses
[tex]-12x+12=-15x-24[/tex]
Subtract both sides by 12
[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]
Add 15x to both sides
[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]
Question 5
The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:
[tex]10=16x+2[/tex]
Subtract both sides by 2
[tex]10-2=16x+2-2\\8=16x[/tex]
Divide both sides by 16
[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]
I hope this helps!
2 people are evenly sharing 15 milliliters of perfume. How much perfume should each person get? ( as a fraction/mixed number)
In HIJ, the measure of angle J=90 degrees, the measure of angle H=8 degrees, and HI=30 feet. Find the length of IJ to the nearest tenth of a foot.
Answer:4.2
Step-by-step explanation:
consider the enlargement of the pentagon
what is the value of x, rounded to the nearest tenth?
a. 2.1 centimeters
b. 3.3 centimeters
c. 7.0 centimeters
d. 15.0 centimeters
Answer:
b. 3.3 centimeters
Step-by-step explanation:
[tex]\frac{7}{x} =\frac{15}{7} \\\\15x = 49\\x=3.3[/tex]
What is the answer
7(2m+5)
Answer:
14m+35 is your answer ☺️☺️☺️
Answer:
14m+35
Step-by-step explanation:
7(2m+5)
7(2m)+7(5)
14m+35
What is bigger 3/5 or .41
Step-by-step explanation:
3/5 is the correct answer to this
Step-by-step explanation:
.41 is biggee than 3/5......
Fill in the table and graph the points 1 Fill in the table for the equation: y = 3x + 2
x y
0 ?
1 ?
2 ?
2. Graph the points.
Students picked 144 ounces of strawberries to make strawberry jam. How many pounds of strawberries did they pick
Answer:
9 pounds
Step-by-step explanation:
I converted it
12 degrees below 0 celsius
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
12 degrees below 0 means -12 Degrees
hope it helps you,
Follow me!
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.3 per year. a. Find the probability that in a year, there will be 3 hurricanes. b. in a 45-year period, how many years are expected to have 3 hurricanes ? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?
Answer:
a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.
b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.
c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The mean number of hurricanes in a certain area is 5.3 per year.
This means that [tex]\mu = 5.3[/tex]
a. Find the probability that in a year, there will be 3 hurricanes.
This is P(X = 3).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386[/tex]
0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.
b. in a 45-year period, how many years are expected to have 3 hurricanes ?
0.12386 each year. So, for 45 years:
45*0.12386 = 5.57
5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.
c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?
5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.
PLS HELP DUE IN A HOUR!! FIND X
Answer:
x = 20
F = 46
Step-by-step explanation:
For x :
( 20 ) * 2 = 40
40 + 3 = 43
For degrees F
Add triangles have a angle sum of 180
So you just subtract 180 by the angles in the triangle
180 - 91 = 89
89 - 43 = 46
46 is remaining so it is the missing degrees ( F )
Hailey's car used 4 gallons to travel 172 miles. At what rate does the car use gas, in miles per gallon?
Answer:
43
Step-by-step explanation:
43 miles for every 1 gallon of gas
Malaya wrote the expression below.
6- 33 = (22+5)
Which value is equivalent to Malaya's expression?
A. -3
B. 3
C. 5
D. -1
Carlson's wheelbarrow can hold 460 pounds. if he has 187 pounds of rocks in the wheelbarrow, what number of pounds, p, can he put in the wheelbarrow without going over the weight limit?
PLEASE HELP ME!!!.
Step-by-step explanation:
i think you just have to subtract 460-187 equals 273 so he can put 273 or something lower then that
I need help with 1 - 4 please someone
Answer:
-3
Step-by-step explanation:
Find the domain of f(x)= x/x-9
Answer:
Step-by-step explanation:
The domain, the possible values of x, is only limited in this function when the function is undefined. Specifically division by zero is undefined. In this case x cannot be equal to 9 because that would lead to division by zero. And that is the only restriction. So the domain is all real numbers except 9. In interval notation this is
x=(-oo, 9),(9, +oo)
If m = 27 and n = 4, what is the value of the following expression?
Answer:
2
Step-by-step explanation:
m - 5 • n + 5
plug it in
27- 5 * 4+5
well, we gotta follow PEMDAS (there are no parentheses)
5*4
20
now we have
27-20+5
20+5
25
27-25
2
Write these equations of the line in point-slope form given the slope
#1 5 and (13, -8).
#2 2/5 and (6, -7
Answer: #1) y=5x-73
#2) y= 2/5x - 47/5
Step-by-step explanation:
There are 9 students entering the school district's science project with all students having an equal chance
of winning. There are medals for 1st, 2nd, and 3rd place. In how many different ways can the medals be
awarded?
Use the pic for more info and I will mark as brainlest
What is the difference of the polynomials:
(3x2 + 4x + 8) - (2x2 + 2x + 5)
a x^2 + 2x + 3
b x^2 + 6x + 3
c x^4 + 2x^2 + 3
d x^4 + 6x^2 + 13
Answer:
(6+4x+8)-4-2x-5
6-4+4x-2x+8-5
2+2x+3.
What is the slope of the line shown below?
Answer:
A. 2
Step-by-step explanation:
Formula for slope of a line (m) = change in y / change in x = ∆y/∆x
Using the coordinates of two points on the line, (1, -4) and (6, 6):
Slope (m) = (6 - (-4)) / (6 - 1) = 10/5 = 2
Slope (m) = 2