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The Distributive Property states the following:-
[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]
Where
[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]
Now, let's use this property to simplify our expressions.
The first one is
[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]
Simplify by distributing 4:-
[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]
Add the products:-
[tex]\longrightarrow\sf{4x+8}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the next one:-
[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]
Distribute -5 & add the products:-
[tex]\longrightarrow\sf{-45-5x}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the last one:-
[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]
Distribute 7:-
[tex]\longrightarrow\sf{7x-21}[/tex]
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note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
These cones are similar. find the surface
area of the smaller cone. round to the
nearest tenth.
2 cm
3 cm
surface area = [? ] cm2
surface area = 75 cm?
Answer:
33.3 is your answer
Step-by-step explanation:
The surface area of the smaller cone A₁ is approximately 33.3 cm² when rounded to the nearest tenth.
What is a cone?A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
Two cones A₁ and A₂ are similar.
The radius of A₁ = 2 cm
radius of A₂ = 3 cm
The surface area of A₁ = ? cm²
surface area of A₂ = 75 cm²
Since the cones A₁ and A₂ are similar, their corresponding sides are proportional.
Specifically, the ratio of their radii is the same as the ratio of their surface areas. That is,
(radius of A₁) / (radius of A₂) = (surface area of A₁) / (surface area of A₂)
We can use this relationship to solve for the surface area of A₁:
(surface area of A₁) = (radius of A₁ / radius of A₂)^2 × (surface area of A₂)
Substituting the given values, we get:
(surface area of A₁) = (2/3)² × 75
(surface area of A₁) = 4/9 × 75
(surface area of A₁) ≈ 33.3 cm²
Therefore, (surface area of A₁) ≈ 33.3 cm²
To learn more about the cone;
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2 is multiplied by the difference of a number and 4.
Answer:
x=3
Step-by-step explanation:
4(x-2)=4. divide both sides by 4
x-2=1. add 2 to both sides
x=3
Answer:
2(x-4)
Step-by-step explanation:
* means multiplied by
2 is multiplied by the difference of a number and 4
multiplied by separates
2 AND "by the difference of a number and 4"
"by the difference of a number and 4" is in a parenthesis
"a number" means x
"the difference" means minus or -
2 is multiplied by the difference of a number and 4 =
2 * (x-4) =
2(x-4)
30 feet is equivalent to how many inches?
Answer:
360 inches
Step-by-step explanation:
Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.
30 × (12 inches) = 360 inches
A year has four seasons. What is the probability that a day chosen at random will be in the spring?
Answer:
1/4; 25%
Step-by-step explanation:
if a year has four seasons we can say that there are 4 possibilities
spring appears once
this means that the probability that a day chosen at random will be in spring would be 1 out of 4
or 25%
A swimsuit is on sale for $29.75. If the original price of the swimsuit is $35, what is the percent of the discount?
A. 2%
B. 5%
C. 15%
D. 17%
Answer:
C. 15%
Step-by-step explanation:
35 * 0.15 = 5.25
35 - 5.25 = 29.75
A percentage is a way to describe a part of a whole. The percentage of discount on the swimsuit is 15%.
What is the Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
We know that the cost of the swimsuit is $29.75, while the original cost of the swimsuit is $35. Now, after the discount the price will be a percentage of the original, therefore, the discounted price can be written as,
Discounted Price = x% of Original Value
[tex]29.75 = \dfrac{x}{100} \times 35\\\\x = 85[/tex]
Now, as we know that the discounted price is 85% of the original price, therefore, the price will have a 15% discount(100%-85%).
Hence, the percentage of discount on the swimsuit is 15%.
Learn more about Percentages:
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Combine like terms to
simplify the
expression below.
5 + 2b - 2.
=
[?]b + +
Answer:
[tex]\boxed{\sf{2b+3}}[/tex]
Step-by-step explanation:
In order to solve this problem, first you need to simplify the expression to use a distributive property.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
5+2b-2
Switch sides.
2b+5-2
Combine like terms.
You have to subtract by the numbers from left to right.
Solve.
5-2=3
2b+3
So, the correct answer is 2b+3.I hope this helps you! Let me know if my answer is wrong or not.
What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?
I would really appreciate the help, I've been stuck on this problem for awhile.
Answer: y = x + 6
Step-by-step explanation:
[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]
[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]
[tex]m=-1[/tex]
[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]
[tex]\left(-1\right)m_p=-1[/tex]
[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]
[tex]m_p=1[/tex]
[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]
[tex]y=x+b[/tex]
[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]
[tex]4=\left(-2\right)+b[/tex]
[tex]-2+b=4[/tex]
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
[tex]-2+b+2=4+2[/tex]
[tex]\text{Simplify}[/tex]
[tex]b=6[/tex]
[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]
[tex]y=x+6[/tex]
solve pls brainliest
Answer:
[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]
The first one: 3
The second one: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
To find the common numerator, you can multiply by 3 on both the numerator and denominator.
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
Answer:
Step-by-step explanation:
This is kinda confusing give me a second
On Thursday the cows at the Putnam Dairy produced 70 bottles of milk. Friday, the cows produced 5/8 as much milk as on Thursday. How many bottles of milk did the cows produce on Friday?
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
24. The speed of a skidding car is directly proportional to the
square root of the length of the skid. On a snowy road, a car
with good brakes traveling at 40 mph would skid approxi-
mately 178 ft. If the skid marks of a similar car on a similar
road were 400 ft, how fast would this car be traveling?
24. If the skid marks of a similar car on a similar road were 400 ft, how fast would this car be
traveling?
The direct variation that of the speed to the skid length implies that the speed increases as the length increases
The car would be traveling at 59.96 mph
How to determine the speed of the skidding car?A direct variation that illustrates the speed of the skidding car is:
s = k√l
Where:
s represents the speed of the carl represents the length of the skidk represents the proportionality constantMake k the subject in s = k√l
k = s /√l
Rewrite as:
s₁ /√l₁ = s₂ /√l₂
Substitute known values
40 /√178 = s₂ /√400
Evaluate the square root of 40
40 /√178 = s₂ /20
Multiply both sides by 20
800 /√178 = s₂
Evaluate the quotient
s₂ = 59.96
Hence, the car would be traveling at 59.96 mph
Read more about direct variation at:
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I WILL GIVE BRAINLEIST(I NEED THIS RIGHT OR I HAVE TO START OVER)
Answer:
It’s irrational hope this is correct
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
Convert both to decimals
[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]
[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]
Hence..
999x=147x=147/99On similar way we can get second one
So if
p/q and r/s [tex]\in [/tex]QThen
pr/qs also rationalWILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
four triangles are shown
Answer:
G
Step-by-step explanation:
The answer is statement G
What is the median age of a group of employees
whose ages are 32, 37, 30, 43, 29 and 31?
Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years
Answer
The population of the city in 24 years will
be approximately 2,024,467.3206337208
What is the population in 24 years?
The formula for calculating future value:
Population:- 2,024,466
Label the probabilities in the tree diagram below and determine what is the probability of wearing a red shirt and black jeans?
The probability of wearing a red shirt and a black jean is the likelihood of the shirt and jean
The probability of wearing a red shirt and a black jean is is 1/6
How to determine the probability?From the tree diagrams, we have the following parameters
Total combination = 6
Red shirt and Black Jean = 1
The probability of wearing a red shirt and a black jean is calculated as:
P = n(Red shirt and Black Jean)/Total combination
This gives
P = 1/6
Hence, the probability of wearing a red shirt and a black jean is is 1/6
Read more about probability at:
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A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.
Answer:
120
Step-by-step explanation:
we go add 3+1=4 and then 4×3=12 and then 12×10=120
When you use a (___________________ ), the money you spend is deducted
A credit card
B debit card
C deposit
D credit score
Answer:
B Debit Card
Step-by-step explanation:
When you use a debit card money comes out of your checking account
Answer:
a credit card
Step-by-step explanation:
because I think it makes sense
2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129 Median: Q1 Q1: IQR: Outliers:
Answer: Heyo! ;D
I think I know how to solve this...
Let me know it this helps out in any way. :D
Median: "To find the median, first you need to list them in order from least to greatest:"
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
"Now, you count starting from both ends and count to the middle. In this case, 51 and 72 are both the medians. However, there can be only one remaining median. So, what we do is add 51 to 72, then divide the sum by 2 to end with the correct median:"
72 + 51 = 123
123 / 2 = 61.5
Outliers: "All are in a pattern, beside the one number that stands out as the outlier in the given list of numbers. 129 is the only number that isn't in sync with the pattern, hence meaning this is the outlier in the sequence of numbers above."
~Artastic~
Which interval on the graph could be described as linear constant?
A
B
C
D
Is 3822 divisible by three or nine
Answer:
The number 3,822 is divisible by 3 and is not divisible by 9, because the sum of the digits is 3 + 8 + 2 + 2, which equals 15, and 15 is divisible by 3 but not by 9.
Choose the correct simplification of the expression f4 • f8. f2 f4 f12 f32
Answer:
f^12
Step-by-step explanation:
f^4 * f^8
We that a^b * a^c = a^(b+c)
f^(4+8)
f^12
Hello!
We have the following expression:
[tex]\bf{f^4*f^8}[/tex]
Recall the Properties of Exponents:
[tex]\bold{a^ma^n=a^{m+n}}[/tex]
According to the property, if we have the same bases multiplied together, then we just add their exponents:
[tex]\bf{f^4f^8=f^{4+8}}[/tex]
Simplify:
[tex]\bf{f^{12}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
[tex]\rule{2}{2}[/tex]Knowledge is Power!
12. You have $10 to spend on charms and stickers. The equation
0.5x + 0.25y = 10 represents this situation, where x is the number
of charms and y is the number of stickers. How many stickers can
you buy when you do not buy any charms?
Answer:
40
Step-by-step explanation:
the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers
10/.25=40
hope this helps
HELP PLEASE URGENT, ASAP. THIS IS GRADE 11 TRIGONOMETRY ILL GIVE THE BRAINLIEST!!!!!!!!!!!!
Answer:
1. [tex] \theta = 61.9^\circ [/tex]
2. [tex] x = 23.7~cm [/tex]
Step-by-step explanation:
Problem 1.
Use the Law of Sines.
This is SSA.
[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]
[tex] \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} [/tex]
[tex] \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} [/tex]
[tex] \sin \theta = 0.88176 [/tex]
[tex] \theta = \sin^{-1} 0.88176 [/tex]
[tex] \theta = 61.9^\circ [/tex]
Problem 2.
m<A + m<B + m<C = 180°
m<A + 67° + 58° = 180°
m<A = 55°
Use the Law of Sines.
[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]
[tex]\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}[/tex]
[tex]x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}[/tex]
[tex] x = 23.7~cm [/tex]
A small class has 9 students, 3 of whom are girls and 6 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your ansuer as a fraction in simplest form.
17
What percent does 20
8%
850%
85%
Answer:
=0
Step-by-step explanation:becase I got it right on a test
The _____ between two points is the length of the line segment joining the points.
A. linear pair
B. angle
C. distance
D. midpoint
E. bisector
Marcelle and Amia each buy two “Treat Dispenser” shirts from Ava’s website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders?
Answer: Amia is correct
Step-by-step explanation:
the total bill would be $46.82
a snowboard originally cost $230. the sport’s store is having a sale of 10% off of items less than $100 and 20% off of items above $100. the sales is 12%. what is the final price for the snowboard, including tax?
well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]
now let's apply as 12% tax on that sale amount
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]