Answer:
4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
a) f(n)=4n+20
b) f(n)=4n+16
c) f(n)=4n+24
d) f(n)=4n+12
Answer:
b)f(n)=4n+16
Step-by-step explanation:
if n=1
substitute 1 for n in the equation
f(1)=4(1)+16
=4+16
=20
f(2)=4(2)+16
=8+16
=24
And so on
Charlotte practices the piano for 4 hours each week. How many minutes does she practice each week?
Answer:
4 X 60 = 240 minutes
Step-by-step explanation:
there are 60 minutes in each hour
How would you know the answer (important)
Answer:
okay so I can't see the last option on ur sheet but when u graph this equation the point that lies on the curve is (2,-3) so that is the vertex but if I move up this curved line it passes through the Y axis at (0,-1), the Last answer that I can't see it wouldn't happen to be (-1,6) would it
20 percent of 180 hours
Answer:
36 hours
Step-by-step explanation:
To find the percentage of a number, change the percent to decimal form
20 percent = .20
Multiply this by the number
.20 * 180
36
20 percent of 180 = 36
A binomial experiment has the given number of trials N and the given success probability P.
N=8 and P=0.1
P(1)
The probability of the success will be 0.3826.
What is binomial distribution?Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
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Section B 13. Amanda produces the newsletter for an editorial club. Each newsletter contains pages printed on both sides in colour and in black. The graphic designer informs Amanda that the upcoming issue of the newsletter will have 4 pages printed in colour and 20 pages printed in black. Every 4 pages printed in colour will cost x cents. Every 4 pages printed in black will cost y cents. (i) Find an expression for the cost of printing one copy of the newsletter. (1 (ii) Each newsletter costs 14 cents to print. Give an example of the cost of printing 4 pages in colour and the cost of printing 4 pages in black. [ An educational institution in Shanghai wants to subscribe to this newsletter. In Singapore, each newsletter costs S$2.20. The conversion rate is ¥1 = S$0.198 45. (iii) Without using a calculator, estimate the price of one newsletter in Y. Each sheet of paper has a mass of 4.5 g. (iv) How heavy is one copy of the newsletter?
Answer:
The answer is 3.2
A 3-column table with 3 rows. Column 1 is labeled Unit Fraction with entries StartFraction 1 Over 10 EndFraction, one-fourth, c. Column 2 is labeled Fraction with 100 in the denominator with entries StartFraction 10 Over 100 EndFraction, b, StartFraction 50 Over 100 EndFraction. Column 3 is labeled Percent with entries a, 25 percent, 50 percent.
Complete the table by finding the missing equivalent form for each row.
a =
b =
c =
The missing equivalent forms are: a = 10%, b = 25/100 and c = 1/2
Complete questionUnit Fraction Fraction with 100 in denominator Percent
1/10 10/100 a
1/4 b 25%
c 50/100 50%
Complete the table by finding the missing equivalent form for each row.
How to determine the missing equivalent forms?From the above table, we have the following equations
a = 10/100
b = 25%
c = 50/100
The variable a must be in percentage.
So, we have:
a = 10/100
Express as percentage
a = 10%
The variable b must be a fraction with 100 in denominator
So, we have:
b = 25%
Express as fraction
b = 25/100
The variable b must be a unit fraction
So, we have:
c = 50/100
Divide the fraction by 50/50
c = 1/2
Hence, the missing equivalent forms are:
a = 10%, b = 25/100 and c = 1/2
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Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2020 Christmas season and get married around the end of the year. In 2020, Raphael expects to earn $45,400 and Martina expects to earn $15,800. Their employers have deducted the appropriate amount of withholding from their paychecks throughout the year. Neither Raphael nor Martina has any itemized deductions. They are trying to decide whether they should get married on December 31, 2020, or on January 1, 2021. What do you recommend? Use the appropriate Tax Tables.
After taking into consideration the advantages in tax management, it will not be beneficial for Raphael and Martina to get married and avail tax benefits.
What are tax benefits?The individual taxable incomes of Raphael and Martina after availing the standard deductions will be $33,000 and $3,400 respectively. Now the computation of taxation liabilities will be computed as,
For Raphael, 10% of $33,000= $3,300;
For Martina, 10% of $3,400 = $340.
However, the joint income will be $61,200 and taxation liabilities of Raphael and Martina will be,
[tex]\rm Taxable\ Income = Total\ Income - Standard\ Deduction\\\\\rm Taxable\ Income =61200-24800\\\\\rm Taxable\ Income =\$36400[/tex]
Solving further,
[tex]\rm Joint\ Taxation = (\frac{10}{100}\ x\ 19750) + (\frac{12}{100}\ x\ 16650)\\\\\rm Joint\ Taxation = 1975+1998\\\\\rm Joint\ Taxation = \$3973[/tex]
Now, it can be compared that the joint taxation is higher than the summation of individual taxation of Raphael and Martina, and thus, tax benefits are not enough for Raphael and Martina to get married.
Hence, the tax benefits of Raphael and Martina after getting married are given as above.
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Find slope:
(3,7) & (6,-1)
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
find in factord form -9n+n^2=0
Answer:
n(-9+ n) =0
Step-by-step explanation:
-9n+n^2=0 Kind of use 'reverse distributive' property
n (-9 + n) = 0
if f(x)=x+10 find f(7)
Answer:
17
Step-by-step explanation:
→ Substitute 7 f(x) into the function
7 + 10
→ Solve
17
Answer:
f(7) = 17
Step-by-step explanation:
To find f(7), substitute x = 7 in the function. Thus, you will receive:
[tex]\displaystyle{f(7)=7+10}\\\\\displaystyle{f(7)=17}[/tex]
Henceforth, the value of f(7) is 17.
Learn More:
https://brainly.com/question/27923727Help me with this question please and thank you!!! :):)
Answer:
A intersection B = ( elements which are common in both)
= ( 2,4,7,19)
A union B = ( all the elements which are either in A or in B).
= ( 2, 4, 7 , 13, 14, 19, 20 , 3, 5, 6, 10,11, 12 , 15,17 , 18 , 19 )
There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why?
Answer:
linear; the rate of change is constant
The radius of a circle is 0.00012 * 10 ^ 5 * f * t . What is the area of the circle? Use the formula A = pi * r ^ 2
Answer: [tex]144\pi[/tex] square feet
Step-by-step explanation:
[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]
urgent help algebra 2 quick please
Answer: y = -3/2x + 6, y intercept is (0, 6)
Step-by-step explanation: You are dividing 2 from both -3x and 12. -3/2x cannot be simplified any further unless it's a decimal, so we leave it as -3/2x. But, since the equation was y = -3x+12 originally, we divide 12 from 2 as well and not just from 3x, and we get 6.
Hope this helped.
The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%
(B) Predict the percentage in 2005.
Using a linear function, we have that:
The percentage will be 47% during the year of 2001.The predicted percentage in 2005 is of 44.97%.Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
What is a linear function?Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.
Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.
The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.
Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.
Now, t + 1980, for which P(t) = 47.
So, P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, so the percentage will be 47% during the year 2001.
Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.
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A theme park had 1099 visitors in 3 days. There were twice as many visitors on saturday than on Friday. There were 234 more visitors on Sunday than on Saturday. How many visitors were there on Saturday?
Answer:
346
Step-by-step explanation:
Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)
x+2x+2x+234=1099
5x+234=1099
5x=1099-234
5x=865
x=865/5
x=173
So, visitors on Saturday = 2x = 346
Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13%, percent monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck?
Thank you for asking this question. Here is your answer:
We will consider the price of the truck to be $x
And the amount of tax in the percentage would be 13%
13/100
= $ 0.13x (this is the actual amount of the tax)
Now we will calculate the total price of the truck =
$x + $ 0.13x
= $ x(1 + 0.13)
If there is any confusion please leave a comment below.
A rectangular basketball court measures with a length of 82yds and
Width of 38 yards What is the perimeter and area?
Answer:
area:3116 perimeter:240
Step-by-step explanation:
the formula of area is always length x width=82x38 =3116the formula for the perimeter is always length+length+width+width=82+82+38+38 =240Hii!
__________________________________________________________
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]
Pelet'rimeter =
Area = 3116 cm^2
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]
[tex]\bullet[/tex] Let's work out the perimeter
[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]
[tex]\bullet[/tex] Perform the addition operation
[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]
[tex]\bullet[/tex] Multiply and obtain the perimeter
[tex]\twoheadrightarrow\sf P=240cm[/tex]
[tex]\bullet[/tex] Now let's find the area
[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]
[tex]\bullet[/tex] Multiply and obtain the area
[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]
--
Hope that this helped! Best wishes.
[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]
--
What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
Given
equation: x - 2/3y = 30
when y = 15
Plug in y:
1/5x - 2/3(15) = 30
1/5x - 10 = 30
add 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
multiply both sides by 5
1/5x * 5= 40 * 5
x = 200
Answer:
x = 200
Step-by-step explanation:
[tex]\frac{1x}{5} -\frac{2y}{3} =30[/tex]
Given that, y = 15.
So, to find the value of x you have to replace y with 15 and make the x the subject.
Let us do that now.
[tex]\frac{1x}{5} -\frac{2*15}{3} =30\\[/tex]
[tex]\frac{1x}{5} -\frac{30}{3} =30\\[/tex]
[tex]\frac{1x}{5} =30+ \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30}{1} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30*3}{1*3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{90}{3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{120}{3}[/tex]
Use cross multiplication.
[tex]1x*3=120*5\\3x=600[/tex]
Divide both sides by 3.
x = 200
again with this please
Answer:
a) A dozen= 24
3 dozen= 24 x 3
= 72
b) 1 dozen= 12 bananas
A dozen cost= 24
So, 1 banana cost= 24/12
= 2
So, 6 bananas would be 2 x 6 = 12
c) 1 dozen= 12 bananas
A dozen cost= 24
1 banana cost= 24/12
= 2
d) I need to know how many people are there in your class so please mention that first :)
Mark me brainliest pleaseee
WHAT DOES THIS MEAN???
"If you take Nia out for mexican food, have an air freshener on standby."
Answer: Beans cause Nia to Fart!
Step-by-step explanation:
Mexican food usually contains beans, which beans are a known catalyst of flatulence. Beans induce farts and Nia does so! Farts usually stink, so an air freshener is needed.
-
Find the area of a rectangle with a length of 15 inches and a width of 9 inches. The area of the rectangle is
inches. Enter only the number.
The solution is
square
135inches2
Step-by-step explanation:
by multiplying both length and width you can get the sum
Prove triangle ABC is congruent to triangle DEC.
Triangle ABC and DEC are said to congruent since all their sides and angles are equal.
How to prove the statementThe angle for triangle ABC lies in angle B
The angle for triangle DEC lies in angle E
From the diagram, angles B and E are alternate angles and alternate angles are equal.
A corresponds to D
B corresponds to E
The measure of their angles are also equal
Note, congruent triangles are triangles with three corresponding sides and angles
Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.
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Write and simplify the equation you would use to solve the problem below.
A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.w + 5 = 116
B.4w + 10 = 116
C.2w + 5 = 116
D.2w + 10 = 116
need a hand i cant figure this one out
Answer:
4w + 10 = 116
Step-by-step explanation:
Call the width w.
The length is 5 more than that, so the length is w + 5
Perimeter is 2w + 2l
2w + 2(w+5) = 116
Distribute the 2 to the values in the parentheses.
2w + 2w + 10 = 116
Combine like terms
4w + 10 = 116
Simplify
24x²y
6x
for all x = 0.
Step-by-step explanation:
[tex] = \frac{24 {x}^{2} y}{6x} [/tex]
[tex] = \frac{24}{6} . \frac{ {x}^{2}y }{x} [/tex]
[tex] = 4.xy[/tex]
[tex] = 4xy[/tex]
[tex] \: [/tex]
• Substitute the value of x.
[tex] = 4xy[/tex]
[tex] = 4 \times 0y[/tex]
[tex] = 0[/tex]
math questionawdAawdadaDaWD
Substitute 5 in the place of X
[tex]f(x) = \frac{1}{8} \times 4 ^{x} \\ f(5) = \frac{1}{8} \times 4 ^{5} \\ f(5) = \frac{1}{8} \times 1024 \\ f(5) = 0.125 \times 1024 \\ f(5) = 128[/tex]
The asnwer is D
PLEASE GIVE BRAINLIEST
Find each percent of change. 30 is decreased to 6
Answer:
80
Step-by-step explanation:
we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80
if m=p/2+3r. find the value of p if r=1 and m=5
Answer:
p = 4
Step-by-step explanation:
[tex]m =\frac{p}{2} +3r[/tex]
[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]
[tex]\Longrightarrow 2m-6r=p[/tex]
[tex]\Longrightarrow p = 2m-6r[/tex]
If m = 5 and r = 1
Then
p = 2(5) - 6(1)
= 10 - 6
= 4
16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips
you get stuck behind a bus and it ends up taking you 20 minutes longer than the freeway. What is the expected
value of the shortcut?
Answer:
it saves 2.5 minutes
Step-by-step explanation:
The expected value of a random variable is the sum of products of possibilities and the probability of each.
Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.
__
The expected value of the shortcut is ...
0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5
The shortcut is expected to save 2.5 minutes on average.
_____
Additional comment
The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.
