[tex]\bf Step-by-step~explanation:[/tex]
Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.
[tex]\bf Step ~1:[/tex]
We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.
[tex]\bf 12 /3=4\\9/3=3[/tex]
First number: 4
Second number: 3
Ratio: 4:3
[tex]\bf Step~2:[/tex]
We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.
[tex]\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}[/tex]
[tex]\bf {Explanation~in~Step~1}[/tex]
4 : 1 and 12 : 9 are not equivalent
Kareem is wrong
Correct question:
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because
4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know
4 : 1 is in its simplest form already
12 : 9
= 12/9
= 4/3
= 4 : 3
Therefore,
4 : 1 and 12 : 9 are not equivalent
Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9
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X-2/2 =m+n, solve for x
Answer:
x=2(m+n+1)
Step-by-step explanation:
I am assuming you mean: (X-2)/2 =m+n
X-2 =2(m+n)
X =2m+2n+2
x=2(m+n+1)
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have? a)13 b)11 c)8 d)4
The largest number of groups she can have is c) 8
Given:
104 nickels
88 dimes.
Now let determine the largest number of groups she can have
2×2×2×3=104
2×2×2×11=88
Based on the above the greatest common divisor will be:
Greatest common divisor=2×2×2
Greatest common divisor=8
Inconclusion The largest number of groups she can have is 8
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the cooking club made some pies to sell during lunch to raise money for a field trip the cafeteria helped by donating three pies to the club. each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. how many pies did the club make
Answer:
9
Step-by-step explanation:
72 pieces divided by 6 pieces/pie = 12 pies
3 were donated by the cafeteria
thus 12-3 = 9 pies made by the club
A teacher spent $259.20 on classroom
supplies. This was 80% of the total classroom
budget. How much was the total budget?
Answer:
$324
Step-by-step explanation:
We need to make a proportion:
[tex] \frac{259.20}{x} = \frac{80}{100} [/tex]
[tex]25920 = 80x[/tex]
[tex]x = 324[/tex]
x is 1%. So 100% = 324*100 = 32400 cents = $324
Hope I helped :)
Help me please , I need to turn this in by midnight
Answer:
Step-by-step explanation:
for IV you do 40^2+30^2=c, or 1600+ 900=c. c= 2500 and unsquare that you get 50
Answer:
the ans of III is 50 and IV is12
Brad wants to buy flowers for his friend with 39$. The daisies are $1 each and the roses are $3 each. He buys 3 more dasies than roses. How much did the roses cost?
The weight of a blue whale is about 200,000 kg, or 2 x 105 kg.
The weight of a large whale shark is about 20,000 kg, or 2 x 104 kg.
About how many times heavier is the blue whale than the whale shark?
A. 180,000 times
B. 2 times
C. 1x 10^-1 times
O D. 1x10^1 times
SUBMIT
Blue whales, about 80 feet in length and over 250,000 pounds in weight, are much bigger than whale sharks.
The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
How do scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have it [tex]1 \leq a < 10[/tex]. The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. Scientific notations have some of the profits as Better readability due to compact representation. Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.
The weight of the animals can be written in scientific notation.
To determine that how much heavier the blue whale is, we need to divide the weight of the blue whale by the weight of the white rhinoceros.
The division operation that is used to group a number into equal parts using another number.
Weight of the blue whale ÷ weight of the white rhinoceros
2 x [tex]10^5[/tex] ÷ 2 x [tex]10^4[/tex]
(2 ÷ 2) x ([tex]10^{5-4}[/tex])
1 × 10
Hence, The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
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Find the measure of
Answer:
Find the measure of what?
Step-by-step explanation:
Next time please write the entire equation. Thank you!
k. How many dimes are equal to 40 pennies
A 10
B 400
C 14 D 4
Answer:
its ten dimes are equal to 40 pennies. :)
Step-by-step explanation:
Answer:
your anwser is D.4
Step-by-step explanation:
you count by tens till you get to 40 so 10 20 30 40 count that and that gives you 4
What is the greatest common factor of 24s3, 12s4, and 18s?
Answer:
24
Step-by-step explanation:
A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?
The correct answer is 5460 cubic feet or 5460 [tex]ft^{3}[/tex]
Explanation:
The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula [tex]Volume =\pi r^{2} h[/tex]. In this formula the symbol [tex]\pi[/tex] refers to the number 3.1415..., the letter [tex]r[/tex] refers to the radius of the base and the letter [tex]h[/tex] refers to the height.
Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula [tex]Area = \pi r^{2}[/tex], which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:
[tex]Volume = \pi r^{2} h[/tex] or [tex]Volume = Ah[/tex] (Area of the base × height)
[tex]V = 260 square feet[/tex] × [tex]21 feet[/tex]
[tex]V = 5460 cubic feet[/tex]
Given f(x) = 6(8-x) + 5
what does the notation f(-2) mean
what is the value of f(-2)?
Answer:
Hi there!
Your answer is:
1. f(-2) Means the function of y when x is equal to -2. You plug in -2 for x!
2. f(-2) = 65
Step-by-step explanation:
6(8-(-2)) +5
6(8+2) +5
6(10)+5
60+5
65
Hope this helps!
WILL NAME BRAINLIEST
(8 - - 10 - 20 ÷ 2) x - 27 ÷ - 3
-72
-9
9
72
the answer is -72
i checked on a calculator
-(3x - 12) = 9x - 4 *Hint: Distributive the negative
Answer: x=1+1/3
Step-by-step explanation: -(3x-12)=9x-4
We move all terms to the left:
-(3x-12)-(9x-4)=0
We get rid of parentheses
-3x-9x+12+4=0
We add all the numbers together, and all the variables
-12x+16=0
We move all terms containing x to the left, all other terms to the right
-12x=-16
x=-16/-12
x=1+1/3
Find the area bounded by the given curves:
y=2x−x2,y=2x−4
Answer:
[tex]A = [\frac{32}{3}][/tex]
Step-by-step explanation:
Given
[tex]y_1 = 2x - x^2[/tex]
[tex]y_2 = 2x - 4[/tex]
Required
Determine the area bounded by the curves
First, we need to determine their points of intersection
[tex]2x - x^2 = 2x - 4[/tex]
Subtract 2x from both sides
[tex]-x^2 = -4[/tex]
Multiply through by -1
[tex]x^2 = 4[/tex]
Take square root of both sides
[tex]x = 2[/tex] or [tex]x = -2[/tex]
This Area is then calculated as thus
[tex]A = \int\limits^a_b {[y_1 - y_2]} \, dx[/tex]
Where a = 2 and b = -2
Substitute values for [tex]y_1[/tex] and [tex]y_2[/tex]
[tex]A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx[/tex]
Open Brackets
[tex]A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx[/tex]
Collect Like Terms
[tex]A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx[/tex]
[tex]A = \int\limits^a_b {- x^2 + 4} \, dx[/tex]
Integrate
[tex]A = [-\frac{x^{3}}{3} +4x](2,-2)[/tex]
[tex]A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)][/tex]
[tex]A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8][/tex]
[tex]A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8][/tex]
[tex]A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}][/tex]
[tex]A = [\frac{16}{3}] - [\frac{-16}{3}][/tex]
[tex]A = [\frac{16}{3}] + [\frac{16}{3}][/tex]
[tex]A = [\frac{16 + 16}{3}][/tex]
[tex]A = [\frac{32}{3}][/tex]
Hence, the Area is:
[tex]A = [\frac{32}{3}][/tex]
work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size . (b) What is the probability that attend the conference? (c) What is the probability that attends the conference? (d) What is the probability that stays home?
Answer:
Step-by-step explanation:
Here is the complete question.
Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference? (d) What is the probability that John stays home?
Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.
Let D = Dominique, M = Marco, R = Roberto and J = John
a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below
S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)
Total sample space = 4!/2!2!
Total sample space = 4*3*2!/2!2
Total sample space = 12/2 = 6
The sample space are S = {DM, DR, DJ, MR, MJ, RJ}
b) Probability is the ratio of number of event to the sample space.
P = n(E)/n(S)
Given n(S) = 6
n(E) is the event of Dominique and Marco attending the conference.
E = {DM}
n(E) = 1
P(D and M) = 1/6
Hence the probability that Dominique and Marco attend the conference is 1/6
c) For John to attend the conference, the event outcome will be given as;
E = {DJ, MJ, RJ}
n(E) = 3
n(S) = 6
Probability for John to attend the conference is 3/6 = 1/2
d) Probability that John stays at home = 1 - Prob (John attends the conference)
Probability that John stays at home = 1 - 1/2
Probability that John stays at home = 1/2
Someone pls help me plss
The consumer price index is _
Answer:
the consumer price index is a measure of the average change over time in the prices paid by the consumers for a market basket of consumer goods and services.
Find the volume
following cylinder:
diameter is
21 cm and height is
12 cm
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed.
Estimate the cost of having a 21 by 26 ft brick patio installed.
Answer:
4140
Step-by-step explanation:
when u multiply the measurements for the first one you get 300 and the second measurement you get 546 then u put it in the ratio form
If 300= 2,275
546=x
then you cross multiply
Suppose a population doubles every 20 years. Then each year it increases by ___ percent.
Answer:
It’s 3.5 percent
Step-by-step explanation:
Population increases by 3.6% every year.
The population in question doubles every 20 years and you need to find out the annual rate of increase.
You can use the rule of 72 which allows you to calculate the doubling time of a variable by the formula:
Time to double = 72 / Rate
As we already have the time the double, the rate is:
20 = 72 / Rate
Rate x 20 = 72
Rate = 72/20
Rate = 3.6%
The population therefore increases by 3.6% every year.
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If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ
Answer:
found this i think this should help with your question
Step-by-step explanation:
Ellie says “When I round these three numbers I get the same Numbers for two of them” Anthony says “Hmmm When I around these numbers I get the same numbers for all three” who is correct The Three numbers are 1,483 1,250 1,454
Answer:Anthony
Step-by-step explanation:
Jacob saved 2 thousand dollar bills, 4 hundred dollar bills, and 6 ten dollar bills to buy a car. The car costs 10 times as much as he has saved. How much does the car cost?
Hey there! I'm happy to help!
We have 2 thousand dollar bills.
2000
4 hundred dollar bills...
2000+400
and 6 ten dollar bills
2000+400+60=2460
We multiply this amount by 10.
2460(10)=24600
This car costs $24,600
Have a wonderful day! :D
Answer:
The car costs 24,600
Step-by-step explanation:
You have to add 2000 + 400 + 50 =2460 and the multiply 2460 x 10 = 24600
A mail carrier can deliver to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.
Answer:
9
Step-by-step explanation:
Answer:
9 housesStep-by-step explanation:
36 houses = (x) houses
30 min 7.5 min.
cross multiply:
30x = 36 (7.5)
x = 270 / 30
x = 9
What is the absolute value of -3
16 can be written as
Answer:
sixteen or 1.6 X 10E2
Step-by-step explanation:
Answer: 2^4
Step-by-step explanation:
2•2•2•2=
4 • 4=
16
A coin is tossed 50 times and it lands on tails 20 times.
What is the relative frequency of getting a tails on the next toss?
The expirmental probability us 28/50
Theoretically the probability is 25/50 because that would be half :)
The relative frequency of getting a tail on the next toss will be 0.40.
How to find the relative frequency?Relative frequency is the ratio of the considered subgroup's count to the whole count.
A coin is tossed 50 times, and it lands on tails 20 times.
Then the relative frequency of getting a tail on the next toss will be
The probability of getting tail is 1/2.
Then the relative frequency will be
⇒ 20/50
⇒ 0.40
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What is the solution to this system of equations?
3x + 6y - 5z = 29
-9x + y + 4z = 9
-8x + 7y + 5z = 4
Find the value of the expression if x=13 and Y = -8
|x+y|=
Answer:
5
Step-by-step explanation:
13 + (-8) = 5
