How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
make 11 1/4 into improper fraction > 45/4
multiply by 2 so it has same denominator > 90/8
90/8 divided by 5/8 = 18
Answer:
18 binder clips
Step-by-step explanation:
The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.
To get the answer, you simply divide 5/8 by 11 1/4.
To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.
Now you can divide.
[tex]\frac{45}{4} / \frac{5}{8}[/tex]
To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.
You would get this:
[tex]\frac{45}{4} *\frac{8}{5}[/tex]
There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.
I hope it helps!
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Answer:
60 square meters
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Find the diameter of each
circle below. If there is not
enough information, write
"cannot tell."
Find the radius of each
circle below. If there is not
enough information, write
"cannot tell."
draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.
_________
#LetsStudy
Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.
What are Grammatical signals?Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.
Important's of Grammatical signals
Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.
In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.
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can someone help me please???
9514 1404 393
Answer:
a) MBE; b) EBY; c) MBY; d) MBE; e) YME; f) XEW; g) EBM, EBY; h) EBY, EBM
Step-by-step explanation:
There are many choices here. We'll use choices that make as much use as possible of the same points and segments.
a) ∠MBE is an acute angle
b) ∠EBY is an obtuse angle
c) ∠MBY is a straight angle
d) ∠MBE is an angle with vertex B
e) ∠YME is an angle with side MY
f) ∠XEW is another name for ∠BER
g) ∠EBM and ∠EBY are adjacent angles
h) ∠EBY and ∠EBM are supplementary angles
__
Additional comments
An acute angle measures less than 90°; an obtuse angle measures more than 90°. A straight angle measures exactly 180°. A linear pair is a pair of adjacent angles that together measure 180°. That is, they are supplementary and combine to make a straight angle. (Supplementary angles only need to have a sum that is 180°. They do not need to be a linear pair. However, in a figure like this, where angle measures are not marked, angles are guaranteed to be supplementary only if they are a linear pair.)
х- а
x-b
If f(x) = b.x-a÷b-a + a.x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)
Given:
Consider the given function:
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]
To prove:
[tex]f(a)+f(b)=f(a+b)[/tex]
Solution:
We have,
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]
Substituting [tex]x=a[/tex], we get
[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]
[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]
[tex]f(a)=0+a[/tex]
[tex]f(a)=a[/tex]
Substituting [tex]x=b[/tex], we get
[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]
[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]
[tex]f(b)=b+0[/tex]
[tex]f(b)=b[/tex]
Substituting [tex]x=a+b[/tex], we get
[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]
[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]
[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]
[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]
Using the algebraic formula, we get
[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex] [tex][\because b^2-a^2=(b-a)(b+a)][/tex]
[tex]f(a+b)=b+a[/tex]
[tex]f(a+b)=a+b[/tex] [Commutative property of addition]
Now,
[tex]LHS=f(a)+f(b)[/tex]
[tex]LHS=a+b[/tex]
[tex]LHS=f(a+b)[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
if given ordered pair are equal then find value of x and y
x= 2x_1
y= 3y+2
Answer:
x=1
y=-1
Step-by-step explanation:
Answer:
x = 1
y = -1
Step-by-step explanation:
[tex]x = 2x - 1 \\ 1 = 2x - x \\ 1 = x \\ x = 1 \\ [/tex]
[tex]y = 3y + 2 \\ - 2 = 3y - y \\ - 2 = 2y \\ \frac{ - 2}{2} = y \\ - 1 = y \\ y = - 1 \\ [/tex]
A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black
Answer:
a) 2/3
b) 1/2
c) 1/6
Step-by-step explanation:
2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6
Answer:
P( not white ) =2/3
P ( red)= 1/2
P( black) = 1/6
Step-by-step explanation:
2 white balls, 3 red balls and a black ball. = 6 balls
P( not white ) = number of balls not white / total = 4/6 =2/3
P ( red) = number of balls that are red/ total = 3/6 = 1/2
P( black) = number of balls that are black/ total = 1/6
Could I get the awnser and explanation of this? Thank you!
Answer:
equation: y = 4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis
What angle is supplementary to 123.9
MA + q ² A =g
Someone help me to do this Aquarian
Answer:
a=g/q2+m
Step-by-step explanation:Let's solve for a.
ma+q2a=g
Step 1: Factor out variable a.
a(q2+m)=g
Step 2: Divide both sides by q^2+m.
a(q2+m)
q2+m
=
g
q2+m
a=
g
q2+m
ASAP show work pleaseee for all of them. 20pst
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful...
how do you write 6 x 6 x 6 x 6 x 6
Answer:
Exponent form
[tex] {6}^{5} [/tex]
Answer:
6^5
Step-by-step explanation:
6 x 6 x 6 x 6 x 6
There are 5 6's multiplied together
The base is 6 and the power is 5
6^5
Draw and label the solution to each
Anyone know??? PLEASE HELP ME
Answer:
C
Step-by-step explanation:
Try it.
Answer:Its B or C
Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.
PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.
The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].
What is trigonometric ratio?Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.
How to find value?We have to find the value of cos (13π/8).
We have to use formula which is following:
cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]
=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex] (π=[tex]π[/tex])
=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]
=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]
=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]
=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]
=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]
Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].
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wich one is the answer
A department store manager noted that the sales of furniture contributed 20% of the store's profits in the year 2015 and 29% in the year 2016.
Of the following choices, which two statements about furniture sales are true?
a.) There was a 45% increase in furniture sales.
b.) Furniture sales rose by 45 percentage points.
c.) There was a 31% increase in furniture sales.
d.) There was a 9% increase in furniture sales.
e.) Furniture sales rose by 31 percentage points.
f.) Furniture sales rose by 9 percentage points.
Answer:
There was a 45% increase in furniture sales.
Furniture sales rose by 9 percentage points.
Step-by-step explanation:
absolute difference = new - old
29-20= 9 percentage points
absolute difference / initial value = 9/20 = .45 * 100 = 45%
Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
What is percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]
We have,
Sales of furniture in [tex]2015=20\%[/tex]
Sales of furniture in [tex]2016=29\%[/tex],
So,
Change in Percentage [tex]=29-20=9\%[/tex]
i.e.
Sales rise by [tex]9\%[/tex] points,
And,
Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]
Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
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In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily. What percentage of the total Centerville population are males who do NOT commute to work daily?
Answer:
16%
Step-by-step explanation:
100%-45%=55%
60%-21%=39%
55%-39%=16%
the total Centerville population are males who do NOT commute to work daily is 16%.
The percentage of Centerville population of males do not commute to work is 16%.
Given that, in Centerville, 45% of the population is female, and 60% of the population commutes to work daily.
What is the percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The total Centerville population, 21% are females who commute to work daily.
Now, the percentage of Centerville population of males commute to work = 60 - 21
= 39%
Total percentage of male = 100 - 45 =55
The percentage of Centerville population of males do not commute to work
= 55 - 39 = 16%
Therefore, the percentage of Centerville population of males do not commute to work is 16%.
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Define the word term
Answer:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
hope this helps
have a good day :)
Step-by-step explanation:
Find the volume of the prism
Answer:
D
Step-by-step explanation:
you just add it all up 10+6+8
Answer:
volume of the prism=8×6×10
=480 in²
9-3(x-6) = 2(x-4)-10
Answer: x = 9
Step-by-step explanation: your welcome
Answer:
x=9
Step-by-step explanation:
9-3(x-6)=2(x-4)-10
9-3x+18=2x-8-10
9-3x+18=2x-18
9+3x+18=+3x-18
9+18=5x-18
9+18=5x+18
45=5x/5
45/5 = x
9=x
What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
One number is 8 greater than another. The product of the numbers is 84. Find the numbers.
Let x,y be the two numbers.
Given that one number is 8 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+8. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x × y = 84, let us plugin y=x+8 here.
x × (x+8) = 84
x²+ 8x -84 = 0.
x²+12x-4x-84 = 0
x(x+12)-4(x+12) =0
(x-4)(x+12)=0
That is x= 4 or -12.
If x=4 , y= 4+ 8 = 12If x= -12, y= -12+8 = -4Hence two positive numbers corresponding to given conditions are 4,12.
And two negative numbers corresponding to given conditions are -12,-4.
Step-by-step explanation:
hope it may help you!!
please mark as brainlist please (´;︵;`)
I’ll mark brainliest
Answer:
The answer is option A.
:)))))))
Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%
Answer:
60%
Step-by-step explanation:
is it FLVS right?
i hope this is right
enjoy
Please help, please no links or websites
Answer:
12
Step-by-step explanation:
Just substitute 3 for n and solve.
Solve the expression [tex]2+(3-1)5\\[/tex]
Use PEMDAS and solve.
(3-1) = 2 so it becomes 2 + (2)5
Then multiply 2 and 5 to get 10.
Then add 2 so you get 12.
[tex]a_{3}[/tex]=12
According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)
Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.