The number that will produce a rational number when multiplied by 1/5 is A. 10.
What is a rational number?A rational number is one that can be written in the form of a fraction where the denominator isn't 0. This number is an integer and does not repeat infinitely.
When 1/5 is multiplied by 10 we get:
= 1/5 x 10
= 2
2 is a rational number so option A is correct.
The full question is:
Which number produces a rational number when multiplied by 1/5?
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5. you work at a t-shirt printing business. 175 of 3,500 t-shirts shipped are printed improperly. what is the experimental probability that a t-shirt is printed improperly?
a: 6%
b: 1.75%
c: 5%
d: 35%
Answer:
C: 5%
Step-by-step explanation:
175 out of 3500 = 175/3500
175/3500 = 1/20
1/20 = 0.05
0.05 = 5%
Answer:
C 5%
Step-by-step explanation:
I am smart so trust me
martina must choose a number between 49 and 95 that is multiple of 2,8 and 10. write all the numbers that she could choose.
Answer:
80
Step-by-step explanation:
10 limits it to 50, 60, 70, 80, and 90
2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45
8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)
[tex]\sqrt{25-10\sqrt{3}+3[/tex] Simplify this
[tex] \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} [/tex]
Factor the indicated expression:[tex] \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } [/tex]
Simplified the index index the root and also the exponent using the number 2.[tex] \boxed{ \bold{5 \: - \: \sqrt{3} }}[/tex]
MissSpanishJane earns an annual salary of £14000 and receives
a pay rise of 1.8%
Lenny earns an annual salary of £11000 and
receives a pay rise of 1.7%
Find which of the employees has the larger pay
increase and by how much.
The employee that has the larger pay increase is Jane. Her income is larger by £65.
Which employees has the larger pay increase?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.
Increase in Jane's salary = £14,000 x 0.018 = £252Increase in Lenny's salary = £11,000 x 0.017 = £187Difference in increase = $252 - £187 = £65To learn more about percentages, please check: https://brainly.com/question/25764815
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Karen pays $487.56 for a company luncheon. This included a 16% gratuity. Karen needs to report the cost of the lunch without the gratuity to receive a reimbursement from her manager. How much was the cost of the luncheon without the gratuity?
(Please show how to solve it)
Answer: $409.55
Step-by-step explanation:
100% - 16% = 84%
84% of 487.56 = 409.5504.
Round to nearest hundredth.
$409.55
Find the LCM of 16x² and 40x5
Answer:
The LCM of 16x^2 and 40x^2 is 80x^5
:) Good Luck
Step-by-step explanation:
[tex]\huge\fbox\green{question}[/tex]
#Combine the members of the following sets to from new sets.Show the members in diagrams
a)A={Mine,Shine,Hari} and B={Ram,Sita,Dolma}
b)M={3,6,9,12>and N={5,10,15,20}
c)A={Mari,Rahlm,Bishnu}and B={Bishnu, Kishan,Dorge}
d)C={4,8,12,16,20} and F={8,16,24,32}
Refer to the attachment
Write 4x²(4x² + 4x³) in standard form.
Answer:
[tex]16x^{5} + 16x^{4}[/tex]
Donations to an annual fundraiser are 15% greater this year than last year. Last year, donations were 10% greater than the year before. The amount raised this year is $10,120. How much was raised two years ago?
Answer:
8000.
Step-by-step explanation:
um I said so you don't need no step by step.
What is the value of the expression below?
2[3(16+)]-8
Answer:
94Step-by-step explanation
2 * [3 * (16 + 1)] - 8 =
2 * [3 * 17] - 8 =
2 * 51 - 8
102 - 8 =
94
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange
By what percent is a grapefruit heavier than an apple?
Answer:
8%+10%=180 180÷100=1.8% grapefruit is heavier than Apple
medain of 38,42,77,47,74,51,48,41,82,72,74,129
Answer:
The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.
Step-by-step explanation:
First, rearrange the data set in order.
38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
Identify how many numbers are in the set. This will make it easier to infer the median.
Counting will show that this is a 12 number data set.
To find the median:
If there are an ODD amount of numbers in a data set, take the middle number. That is your median.
If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.
Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.
51 + 72 = 123
123/2 = 61.5
The median of this data set is 61.5.
can someone please explain how to factor a polynomial. {will mark as brainliest}
To factorize a polynomial you need to find the zeros, and then you can write the polynomial as a product of bynomials.
How to factor a polynomial?
For a polynomial of the form:
[tex]p(x) = A_n*x^n + A_{n-1}*x^{n-1} + ... + A_1*x + A_0[/tex]
We define the zeros as the values of x such that:
p(x) = 0.
On the above case, the degree of the polynomial is n (the maximum exponent). Then the number of zeros of the polynomial is n (same as the degree).
Once we know the n zeros, we can factorize the polynomial as:
[tex]p(x) = A_n*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]
For example, for the polynomial:
[tex]p(x) = 2x^2 - 8[/tex]
The two zeros are x = 2 and x = -2, then it can be rewriten as:
[tex]p(x) = 2*(x + 2)*(x - 2)[/tex]
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Solving for interior angle measures, what is the m
Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.
90 + 7x - 20 + 4x = 180
70 + 11x = 180
11x = 180 - 70
11x = 110
11x/11 = 110/11
x = 10
m∠ACB = 7x - 20
Plug in the value of x
m∠ACB = 7(10) - 20
m∠ACB = 50° (option B).
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PLS I NEED 100% TO GET A GOOD MATH GRADE THIS YEAR
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
At least how many schools have participated for 1 year or less? (5 points)
6 schools
8 schools
12 schools
14 schools
1 year or less is at the first quartile mark in the box plot, therefore, the number of schools that participated for a year and less is: A. 6 schools.
What is the First Quartile of a Data Represented in a Box Plot?The data point at the beginning of the edge of the rectangular box in a box plot is the first quartile mark of the data, which is 1/4 or 25% of the data.
1 year or less is at the first quartile mark in the box plot. That is 1/4 of the total number of schools.
Therefore, schools that participated for a year and less = 1/4(24) = 6 schools.
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In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.
Answer:
3,600 x (1.0375) ^ 1
Step-by-step explanation:
Compund interest formula.
IA * (r + 1) ^t
IA = Initial amount; r = rate (as decimal); t = time (in years)
IA = 3600
r = .0375
t = 1 (2008-2009)
3,600 x (1.0375)^1
-- Gage Millar, Algebra 1/2 Tutor, (Pending Pre-Calc Tutor)
f(s) = (= + 5)²
is it a even function or odd or both? or neither ??
Answer:
both
Step-by-step explanation:
that's the answer to the question
Please help me with this one.
Answer:
V = 16W = 48Step-by-step explanation:
The triangles are congruent when corresponding sides are congruent.
__
ΔFGH ≅ ΔABC means corresponding sides are ...
(GH, BC) = (V, 16)
(HF, CA) = (48, W)
Corresponding sides being congruent means ...
V = 16
W = 48
Write the equation of the following line in slope-intercept form. X
Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
The equation for slope-intercept form is [tex]y=mx+b[/tex].
First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].
Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].
By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].
PLease HELP!!! 20 POINTS!!! WILL GIVE BRAINLIEST!!!
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
Answer:
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Step-by-step explanation:
Answer:
c = a√2
Step-by-step explanation:
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
since there is no measure, I will write you the formula:
c (hypotenuse) = a√2
Which equation has the solution x=4?
Answer: Option C is correct.
Part A
⇒ 4x = 20
⇒ x = 20/4
⇒ x = 5
Part B⇒ x/2 = 8
⇒ x = 8(2)
⇒ x = 16
Part C⇒ x + 8 = 3x
⇒ 3x - x = 8
⇒ 2x = 8
⇒ x = 4
Part D⇒ x = (x + 5)/2
⇒ 2x = x + 5
⇒ 2x - x = 5
⇒ x = 5
A jar contains five blue marbles, six red marbles, and four green marbles. What are the odds you will draw a blue marble from this jar?
Answer:
Probability=number of specific outcomes/total of all possible outcomes
There are 5 blue marbles and a total of 15 marbles.
So the probability of drawing a blue marble from the jar is:
5/15
1/3
Step-by-step explanation:
Hope this helps
Which of the following could not be the value of sin(0)
The ratio of any side and hypotenuse is always less than 1.
The question seems incomplete
The options are not given the options are
a. 1
b. 0.5
c. 2
What is the sin ratio?[tex]sin\theta=\frac{Opposite side}{hypotenuse}[/tex]
Therefore, the ratio of any side and hypotenuse is always less than 1. Now, in the case of 0 or 90 degrees, the figure is no longer a triangle because one of the sides ceases to exist while the other side coincides with the hypotenuse.
This is the reason that in these extreme cases, sin and cosine take values 0 or 1.
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Translate the shape A three squares right and one square down.What are the coordinates of the vertices of the image?
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Translation of coordinatesTranslation is a transformation technique of changing the position of an object on the xy plane
Given the coordinates of the vertices (1, 4), (1, 1), (3,1)
If the shape A is translated three squares right and one squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.
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Jacob bought a deluxe computer system for his home business. The system cost
$2,395. The value of the computer system will depreciate at a rate of 12% a year.
What will be the cash value of the computer system in 3 years? Round your answer to
the nearest dollar.
O $287
O $2108
O $1632
O $2682
The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
DepreciationFrom the question, we are to determine the cash value of the computer system in 3 years
From the given information,
The computer system cost $2,395 and it will depreciate at a rate of 12% a year
After the first year, the worth of the computer system will be
$2,395 - (12% of $2,395)
$2,395 - (0.12 × $2,395)
= $2,395 - $287.4
= $2107.6
After the second year, the worth of the computer system will be
$2107.6 - (12% of $2107.6)
$2107.6 - (0.12 × $2107.6)
= $2107.6 - $252.912
= $1854.688
After the third year, the worth of the computer system will be
$1854.688 - (12% of $1854.688)
$1854.688 - (0.12 × $1854.688)
= $1854.688 - $222.56256
= $1632.12544
≅ $1632
Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
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Can someone help me with this? Thanks!
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1Question 5 and 6 I need answers to
Answer:
and also mark me the brainliest for the answer
Step-by-step explanation:
how to simplify 8x-6x
subtracting 6x from 8x. It's quite simple to deal with small two-part numbers like these. After subtracting 6x from 8x, you will get the answer 2x.
Quick Answer:
You simply 8x-6x by subtracting 6x from 8x, and then you will get the answer 2x
HAVE A NICE DAY
Help is this a reflection or a rotation??
My exam is on Tuesday and I’m confused
Answer:
reflection
Step-by-step explanation:
its like a mirror, if it were rotated, they wouldnt line up as the same image. think of this like looking in a mirror! :)