Answer: 20
Step-by-step explanation:
You do 40➗2 which you would get 20.
Then you would round 20 to the nearest tenth, then you get 20.
Because if the number on the left/right is between 0 and 4, the whole number stays the same.
Note: 0-4 stays the same 5-9 higher number.
For example: Rounding 164 to the nearest tenth will become 160.
Megan found a new knitting pattern she's been wanting to try. It makes a rainbow-striped 60-inch scarf. Last month, it took her 14 hours to knit her little sister a 30-inch scarf. If Megan plans to knit 1 hour every day, how many weeks will it take her to finish the rainbow-striped scarf?
Answer:
if it took her 14 hours to make a 30-inch scarf, we can assume it will take her to double that time to make a 60-inch scarf. 28 hours is double of 14, if she only knits one hour every day it will take her 4 weeks, 28 days is equal to exactly 4 weeks 28/7=4 weeks
Answer:
4 weeks
Step-by-step explanation:
14 hours for a 30-inch
multiply them both by 2
28 hours for 60-inch
28 divided by 7 = 4
Have a blessed and great day<3
Given the functions f(n) = 25 and g(n) = 3(n − 1), combine them to create an arithmetic sequence, an, and solve for the 12th term. An = 25 − 3(n − 1); a12 = −11 an = 25 − 3(n − 1); a12 = −8 an = 25 3(n − 1); a12 = 58 an = 25 3(n − 1); a12 = 61.
Arithmetic sequence is done by adding or subtracting the difference. The 12th term of the arithmetic sequence will be 58.
What is the arithmetic sequence?The arithmetic sequence is the series of numbers where every two consecutive terms have the same difference between them.
We know that the nth term of an arithmetic sequence is given as,
[tex]a_n = a_1 + (n-1)d[/tex]
Also, we are given two functions adding the two functions we get,
[tex]f(x) + g(x)\\\\ = 25 + 3(n-1)[/tex]
comparing the sum we get with the arithmetic sequence formula for nth term, we will understand that,
[tex]a_1 + d(n-1)\\25+3(n-1)[/tex]
therefore,
a₁ = 25
and d = 3
that means the first term of the sequence is 25 while the difference between the two terms is 3.
Now, substituting the values in the formula we will get that the 12th terms of the sequence can be written as,
[tex]a_n = a_1 + (n-1)d\\\\a_{12} = 25 + (12-1)3\\\\a_{12} = 25 + 33\\\\a_{12} = 58[/tex]
Hence, the 12th term of the arithmetic sequence will be 58.
Learn more about Arithmetic Sequence:
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I need help with math here is the pic of the ?
Answer:
40
Step-by-step explanation:
140/100 = 56/x
=> x = (100x56)/140 = 40
Answer:
40
Step-by-step explanation:
140% x __ = 56
140/100 x __ = 56
x = 56 x 140/100
x = 40
what is -3/4(2/3 in simplest form
Answer:
-1/2 or the decimal form -0.5
Can someone please help me with this? 1-4 thank you so much.
Answer:
1.) Option C
2.) Option B
3.) Option D
4.) Option A
Step-by-step explanation:
[tex] \frac{3x {}^{2} }{y {}^{ - 3} } \\ [/tex]
Here, we know that
[tex]a {}^{ - 1} = \frac{1}{a} \\ [/tex]
So,
[tex] \frac{ {3x}^{2} }{y {}^{ - 3} } = \frac{ {3x}^{2} }{ \frac{1}{y {}^{ 3} } } = {3x}^{2} y { }^{3} \\ [/tex]
Thus, Option C is correct
2.)[tex]( {4}^{0} )( {4}^{2} ) \\ [/tex]
We know that,
n⁰ = 1
where, n = any real number
So,
[tex]( {4}^{0} )(4 {}^{2} ) = 1 \times 16 = 16 \\ [/tex]
Thus, The answer is 16
3.)[tex]( \frac{5}{3} ) {}^{ - 3} \\ [/tex]
We know that
[tex]a {}^{ - 1} = \frac{1}{a} \\ [/tex]
So,
[tex]( { \frac{5}{3} )}^{ - 3} = ( { \frac{3}{5} )}^{3} = \frac{27}{125} \\ [/tex]
Thus, Option D is correct
4.)[tex] \frac{a {}^{2} {b}^{5}c {}^{0} }{ab {}^{7} } \\ [/tex]
[tex] \frac{a {}^{2} {b}^{5} c {}^{0} }{ab {}^{7} } = \frac{a}{ {b}^{2} } \\ [/tex]
Thus, Option A is correct
-TheUnknownScientist 72
Someone help me please
Step-by-step explanation:
the ratio of 1/18 simply means that 1 inch in the drawing represents 18 inches in reality.
so, the real flag is therefore
2×18 = 36 inches long and 1×18 = 18 inches wide (or high).
the area of the actual flag is therefore
36 × 18 = 648 in²
iready about presents plz help 7 grade lvl
Answer:
Answer:
118
Step-by-step explanation:
150+16%=174
174 - 32% = 118.32
118.32=118(to nearest whole number)
What are these in scientific notations?
Answer:
.071 times 101
Step-by-step explanation: The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Max has 40/100 of a dollar. Ben has 2/10 of a dollar. Alex has 3/10 of a dollar. Together, what fraction of a dollar do they have?
Mark all correct answers.
Group of answer choices
A.45/100
B.9/10
C.90/100
D.72/100
Answer:
b and c are correct
Step-by-step explanation:
Hope this helps! :)
Answer:
B
Step-by-step explanation:
Because max has 40/100 of a dollar which could = 4 or 40% so he has 4.
Max=4
Ben has 2/10 of a dollar which could be 2 or 20% so ben has 2
Ben=2
Alex has 3/10 of a dollar which could be 3 or 30% so Alex has 3.
Alex=3
4+2+3=9/10
Hope it helps,have a great day:)
Marina can bicycle 19. 5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?.
Speed is the rate at which a body changes its position. The speed by which Marina runs is 4 miles/ hr.
What is Speed?Speed is the rate at which a body changes its position. It is given by the formula,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles.
Marina bikes 9 miles per hour faster than she runs.
Let the speed of the Marina running be s, and the time is taken to run 6 miles be t.
Time is taken by Marina to cover a distance of 6 miles by running,
[tex]\rm t = \dfrac{6\ miles}{s}[/tex]
Since the speed of Marina's bicycle is 9 miles per hour faster than she runs. Time is taken by Marina to cover a distance of 19. 5 miles by bicycle,
[tex]\rm t = \dfrac{19.5\ miles}{s+9}[/tex]
We know that Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles. therefore,
[tex]\rm t = \dfrac{6\ miles}{s}= \dfrac{19.5\ miles}{s+9}[/tex]
[tex]\dfrac{6}{s}= \dfrac{19.5}{s+9}[/tex]
Solving the given equation we will get,
[tex]\rm s = 4\ miles/hr[/tex]
Hence, the speed by which Marina runs is 4 miles/ hr.
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Learn-a-Lot Academy needs to order 900 pencils for its students. The pencils come in cases of 24 boxes with 12 pencils in each box. The pencil manufacturer will sell only whole cases. How many cases of pencils must Learn-a-Lot Academy order?
Answer:
4 Cases
Step-by-step explanation:
If they bought 3 cases they would only have 864
Answer:
4 cases
Step-by-step explanation:
Find out how many pencils per case:
1 case = 24 boxes
1 box = 12 pencils
1 case = 24•12 = 288 pencils
Divide the amount of needed pencils (900) by how many per case there are (288) to find how many cases you need:
900÷288=3.125 (or 3 1/8)
Since you can't get a part of a case (for the 1/8 of a case you need), you will need to round up to 4 cases.
Simplify the following polynomial expression.
(5x^4 - 9x^3 + 7x - 1) + (-8x^4 +
4x^2– 3x + 2) - (-4x^3 + 5x - 1)(2x -7)
A 5x^4 - 37x^3 - 6x^2 + 41x - 6
B. 11x^4- 21x^3 + 14x^2 + 33x-8
C. 11x^4- 21x^3 + 14x^2 + 33x- 6
D. 5x^4– 37x^3- 6x^2 + 4x - 8
Answer:
A. [tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]
step-by-step-explanation:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex][tex](5x^4 - 9x^3 + 7x - 1) -8x^4 +4x^2- 3x + 2 - (-8x^4+28x^3+10x^2-37x+7)[/tex][tex]5x^4 - 9x^3 + 7x - 1-8x^4 +4x^2- 3x + 2 +8x^4-28x^3-10x^2+37x-7[/tex][tex]5x^4 -8x^4 + 8x^4 -9x^3 -28x^3 +4x^2 -10x^2 +37x +7x -3x -7 -1 +2[/tex][tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]Answer:
[tex]5x^4- 37x^3-6x^2+ 41x-6[/tex]
Step-by-step explanation:
simplify the following expression:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2-3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex]
Expand [tex](-4x^3 + 5x - 1)(2x -7)[/tex]
[tex]\implies -8x^4 +28x^3+10x^2-35x-2x+7\\\\\implies -8x^4 +28x^3+10x^2-37x+7\\[/tex]
Therefore:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2)-(-8x^4 +28x^3+10x^2-37x+7)[/tex]
Group and combine like terms:
[tex]5x^4 -8x^4- 9x^3 +4x^2+ 7x - 3x- 1 + 2-(-8x^4 +28x^3+10x^2-37x+7)\\\\\implies -3x^4- 9x^3 +4x^2+ 4x +1-(-8x^4 +28x^3+10x^2-37x+7)[/tex]
Apply the distributive rule: [tex]-(-a+b)=a-b[/tex]
[tex]\implies -3x^4- 9x^3 +4x^2+ 4x +1+8x^4-28x^3-10x^2+37x-7[/tex]
Group and combine like terms:
[tex]\implies -3x^4+8x^4- 9x^3 -28x^3+4x^2-10x^2+ 4x+37x +1-7\\\\\implies 5x^4- 37x^3-6x^2+ 41x-6[/tex]
Is the cost proportional to the bags of salad?
Are the ratios of salad to cost equal?
Answer:
yes cost is proportional and ratios of cost are equal
Step-by-step explanation:
Please answer this (who ever answers correctly gets brainlest)
Answer:
1. correct (conversion = x1000)
2. correct (conversion = [divided by] 1000)
3. wrong (conversion should be x100)
4. wrong (conversion should be x1000)
5. correct (conversion = x10)
Answer:
option 1, 2 and 5 are correct
Step-by-step explanation:
1 Km = 1000 m
1) 1.25 km = 1.25 * 1000 = 1250 m
2) 0.345 km = 0.345 *1000 = 345 m
5) 1.7m cm = 1.7 * 10 = 17 mm
10 points + brainliest to first correect answer :) incorrect answers/ answers with no effort will be deleted this is easy im just making sure :)
The temperature in Mariah’s town was 5.2 degrees Fahrenheit at midnight. The temperature decreased at a steady rate of 1.1 degrees Fahrenheit per hour until 7:00 a.m. From 7:00 a.m. through noon, the temperature increased by a total of 4.9 degrees Fahrenheit. What was the temperature at noon?
a- Negative 7.4 degrees Fahrenheit
b- Negative 2.5 degrees Fahrenheit
c- 2.4 degrees Fahrenheit
d- 7.4 degrees Fahrenheit
Answer:
C. 2.4 degrees Fahrenheit
Step-by-step explanation:
1.1 per hour for 7 hours
1.1 x 7 = 7.7
5.2 - 7.7= -2.5
-2.5 + 4.9 = 2.4
Are you clever enough to earn 100 points?
What would be the answer on the graph?
Answer:
(8, 9) and (12, 3)
Step-by-step explanation:
The ends of the line would be (8, 9) and (12, 3)
Because the scale factor is negative, the guide lines go through the centre of enlargement rather than from it.
A bag contains 7 green marbles, 2 white marbles, 5 orange marbles, 9 green marbles, and 7 red marbles. A marble will be drawn from the bag and replaced 180 times. What is a reasonable prediction for the number of times a white or red marble will be drawn?.
Prediction for some count is usually expressible as expectation of some random variable. The reasonable prediction for the number of times a white or red marble will be drawn is 54
What does the expectation of a random variable tells about?A random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
For the given case, as the ball being drawn is being replaced too, so we can take all 180 experiments to be independent from each other.
If we call
Success = Event of drawing white or red marble
Failure = Event of drawing any other marble instead of white or red
Then, each marble drawing event is having two outcomes: success or failure. This makes each drawing a Bernoulli experiment.
Modelling this situation with binomial distribution would be good.
Let X = number of successes in those 180 experiments.
P(Success) = 9/30 = 0.3 = p(say) (total 9 marbles in favor, so 9 ways of drawing single marble, and total 30 marbles are there, and thus 30 ways of drawing single marble out of them)P(Failure) = P(Not success) = 1-p = 0.7 = q (say)Thus, we get
[tex]X \sim B(n = 180, p= 0.3)[/tex]
The expectation of random variable X is the best prediction of count of times we will get in those 180 trials.
The expectation of a random variable is: [tex]E(X) = np[/tex]
Thus, we get:
[tex]E(X) = 180 \times 0.3 = 54[/tex]
Thus, the reasonable prediction for the number of times a white or red marble will be drawn is 54
Learn more about binomial distribution here:
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What is the value of 3x – 4y + z when x = 8, y = 2 and z = -6?
Answer:
[tex]3(8) - 4(2) + ( - 6) \\ \\ 24 - 8 - 6 \\ \\ 16 - 6 \\ \\ 10[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 3x - 4y + z [/tex]
[tex] \: \: \: \: \sf \: 3( 8 ) - 4 ( 2 ) + ( -6 )[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \sf \: 24 - 8 - 6[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 16 - 6[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \underline{ 10}[/tex]
Hope It's Helps~What is the measure of∠ABC?
Answer:
95
Step-by-step explanation:
the interior angles of a square add upto 360
and from the arrows we know that the parallel sides are equal
so there will be two angles which are 85
so:
360-85-85 = 190
190/2 = 95
Find DE.
F) 3
G) 6
H) 9
J) 12
Answer:
Step-by-step explanation:
F because im guessing and im taking a tes
Roberto makes dumplings. today it takes him 54 minutes to make 18 dumplings. he plans to make dumplings for 66 minutes tomorrow and to work at the same rate. how many dumplings will Roberto make tomorrow
Answer:
22
Step-by-step explanation:
one dumpling in 3 minutes
What is the solution to 8√3 - 7√3?
√3
56√3
√6
√9
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since the value under the square root is the same, you only subtract the coefficients, and you do not show the one in your final answer.
how do I solve this?
Value of [tex]x[/tex]is [tex] - 12[/tex].
Final Answer is [tex]480[/tex]
Step-by-step explanation:
Assume that:
First number = x
Second number = 20 - x
Putting the given conditions,
[tex]2x^{2} + 3(20 - x)^{2} [/tex]
Putting the formula (a-b)²=(a²+2ab+b²) in (20-x)²,
[tex]2 {x}^{2} + 3(20^{2} - 2 \times 20 \times x + {x}^{2})[/tex]
[tex] = > 2 {x}^{2} + 3(400 - 40x + x^{2})[/tex]
Opening the brackets,
[tex]2 {x}^{2} + 3 \times 400 - 3 \times 40x + 3 \times {x}^{2} [/tex]
[tex] = > 2 {x}^{2} - 1200 - 120x + 3{x}^{2}[/tex]
[tex] = > (2x^{2} + 3 {x}^{2}) - 120x + 1200[/tex]
[tex] = > 5 {x}^{2} - 120x + 1200[/tex]
[tex]As \: x= - \frac{b}{2a}[/tex]
[tex] = > - \frac{120}{2 \times 5}[/tex]
[tex] = > - \frac{120}{10} [/tex]
[tex] = > - 12[/tex]
Now substituting the value of x in 5x²-120x+1200,
[tex] = > (5 \times {12}^{2} )-(120 \times 12)+1200[/tex]
[tex] = > (5 \times 144)-(1440)+1200[/tex]
[tex] = > 720 - 1440 + 1200[/tex]
[tex] = > 720 - (1440 - 1200)[/tex]
[tex] = > 720 - 240[/tex]
[tex] = > 480[/tex]
Find two consecutive numbers whose sum is 201.
smaller number =
larger number =
Answer:
100 and 101
Step-by-step explanation:
Hi there!
Let x be equal to the smaller number.
Let x + 1 be equal to the larger number, which is consecutive to the smaller number.
We are given that the sum of the two numbers is 201:
[tex]x+(x+1)=201\\x+x+1=201\\2x+1=201\\2x=200\\x=100[/tex]
Therefore, the smaller number is 100. Because the larger number is x + 1, it is 101.
I hope this helps!
6
—-
math
pls help geniuses!!
——
Answer:
- B
x = 9
y = 3
80 points for this! please help
Answer:
it is 800.00
Step-by-step explanation:
i did this a while ago
What is the Lowest Common Multiple of 42 and 90
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
90/6=15
42/6=7
Those are the lowest you can go in those numbers and when you do 90*42
it is 3780. Divide that by 6 and it is 630.
Find the 45th term of the below arithmetic sequence.
-9, -2, 5, 12, ...
Answer:
Check the attachment.
Hope it helps ⚜
8. Sergei is buying tomatoes and finds that two different kinds are weighed in grams and
ounces. Tomato A is 6 ounces and Tomato B is 173 grams. Which tomato weighs the
most? (1 oz =
28.3 g)
Answer:
tomato B weighs more than tomato A
Step-by-step explanation:
Tomato A: 6oz = 169.8g
Tomato B: 6.10oz = 173g
Evaluate 13|−x+4|−6 when x = 13.
Answer:
-123
Step-by-step explanation:
13(-x+4)-6 when .x is 13
we just replace x with 13
13(-13+4)-6
13(-9)-6
applying bodmas we multiply 13 by negative 9 before the subtraction aspect
13*-9=-117
-117-6=-123