Answer:
A = 192
Step-by-step explanation:
r = 16/2 = 8
A = 3x(8)^2
8^2 = 64
A = 3 x 64 = 192
Radius is half the diameter.
The diameter is shown as 16, so the radius would be 16/2 = 8 in.
Area = 3 x 8^2
Area = 3 x 64
Area = 192 square inches
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
what are integer solutions to the equality below-2 < x < 2
Answer:
-1, 0, 1
Step-by-step explanation:
Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2
3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b
Answer:
-a + 7b
Step-by-step explanation:
This problem is asking you to simplify the equation.
In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).
So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.
So all together we have -a + 7b.
Hope this helps you :)
[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]
[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]
[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]
[tex]\\ \sf\Rrightarrow -a+7b[/tex]
[tex]\\ \sf\Rrightarrow 7b-a[/tex]
Answer 1 and 2 seriously please.
Answer:
Step-by-step explanation:
1
(x+3)+(x-1)+(x+1) = 90°
3x + 3 = 90°
3x = 90 - 3
3x = 87
x = 87/3
x = 29°
2
x + (x+104) = 180°
2x + 104 = 180°
2x = 180 - 104
2x = 76
x = 76/2
x = 38°
David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.
Discounts are used to reduce the original price of an item.
David will pay $25 and 92 cents for an item of $32, before tax
The discount (d) is given as:
[tex]d =19\%[/tex]
The price (p) of the item is given as:
[tex]p = \$32[/tex]
So, the amount (A) paid before tax is calculated using:
[tex]A = p \times (1 - d)[/tex]
Substitute known values
[tex]A = \$32 \times (1 - 19\%)[/tex]
Express percentage as decimal
[tex]A = \$32 \times (1 - 0.19)[/tex]
Subtract 0.19 from 1
[tex]A = \$32 \times 0.81[/tex]
Multiply 32 and 0.81
[tex]A = \$25.92[/tex]
Hence, David will pay $25 and 92 cents for an item of $32, before tax
Read more about discounts at:
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In the table adam recorded the miles he travled each day while traveling from Florida to California. Calculate the average rate of change between day 4 and day 6.
Table:
End of day Distance
1 383
2 682
3 1132
4 1503
5 1906
6 2196
Answers: A) 231 Miles
B) 290 Miles
C) 347 Miles
D) 440 Miles
Hi!
To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:
Now, when we plug it in the equation, it looks like this:
[tex]\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5[/tex]
Therefore, your answer is 346.5 or, rounded, 347.
Meaning, your answer is C
Hope this helps and have a great day! :D
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
The US Constitution originally said that senators would be selected by state legislatures. Per the terms of the 17th Amendment, senators are now elected directly by the citizens of their respective states.
The party balance in the 115th Congress (2017–19) is 51 Republicans, 47 Democrats, and 2 independents, who caucus with the Democrats. As of January 2018, Republicans had control of the legislatures of 31 states; Democrats had control in 14; control was split in 4; and Nebraska was officially nonpartisan.
Develop an argument for or against repealing the 17th Amendment.
In your essay, you must:
articulate a defensible claim or thesis that responds to the prompt and establishes a line of reasoning.
use your knowledge of federalism, the constitutional position of the US Senate, partisan politics, checks and balances, voting rights, and the history of redistricting or gerr
Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.
With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.
Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.
Read more about the 17th Amendment here:
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In the figure, one exterior angle is drawn at each vertex of the triangle. Explain how to find the sum of the measures of these three exterior angles.
Explanation:
Here's one way:
At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.
Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.
The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.
The sum of the measures of the exterior angles is 360°.
_____
Additional comment
This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
sarah got a 80% on her pre algebra final exam. if there were 75 questions total how many did sarah get correc? How many did she get wrong? what percent did she get wrong?
HELP PLS
Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.
Step-by-step explanation:
First, let's solve for how many questions Sarah got correct.
80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:
[tex]\frac{8}{10}=\frac{?}{75}[/tex]
Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60
So, Sarah got 60 out of 75 questions correct.
To find how many she missed, we can simply subtract 60 from 75 to get 15.
So, Sarah got 15 out of 75 questions wrong.
Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.
15 ÷ 75 = 0.2
0.2 X 100 = 20
So, Sarah got 20% of the questions wrong.
What is the domain of the function
y = √x
Answer:
[tex]0\leq x<\infty[/tex]
Step-by-step explanation:
The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].
I've attached a diagram to help you visualize the domain.
275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?
Answer:
$261.82 per 180 gallon of oil tank.
Step-by-step explanation:
set a proportion;
400 x
------ = -----
275 180
180/275 = 0.6545454545454 x 400
= 261.81818181816
round the the nearest hundredth
Please help me.........
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
Write an equivalent expression.
1. 8(y - 7)
2. -2x + 7
3. 3/5x + 2/5 + 3/5x
Answer:
8(y - 7) =8y-7-2x+7=7/2=3.5The equivalent expressions are;
1. 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are;
1. 8 (y - 7)
2. - 2 (x + 7)
3. 3/5x + 2/5 + 3/5x
Now,
Solve all the expression as;
1. 8 (y - 7) = 8 × y - 8 × 7
= 8y - 56
Thus, 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2 × x - 2 × 7
= - 2x - 14
Thus, - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5
= (3x + 3x)/ 5 + 2/5
= 6x / 5 + 2/ 5
= (6x + 2) / 5
Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5
Therefore, The equivalent expressions are;
1. 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5
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Researchers claim that 90% of people are left handed. Suppose the researchers' claim is true. Mrs. Reyes has a Statistics class with 30 students. What is the probability that exactly 25 of them are left handed?
Answer:
10.23% to the nearest hundredth.
Step-by-step explanation:
This is a Binomial Probability Distribution.
If exactly 25 are left handed then exactly 5 are right handed.
So (probability that exactly 25 are left handed)
= 30C5*(0.1)^5(0.9)^25
= 0.1023047706
= 10.23%.
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).
The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.
The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.
We want to find the probability that exactly 25 students out of 30 are left-handed.
This can be calculated using the binomial probability formula:
[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]
where:
n = 30 (the number of trials)
k = 25 (the number of successes we want)
p = 0.9 (the probability of success in each trial)
Plugging in the values, we get:
[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]
Using a calculator or statistical software, we can find that:
P(X = 25) ≈ 0.2031
Therefore,
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
Learn more about probability here:
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Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
the two polygons are similar. Write a proportion and solve for x
SHOW WORK PLEASE
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
What is the domain and range of this graph??
Answer: D: (-∞, ∞)
R: (-∞, ∞)
Step-by-step explanation:
Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity
Q7 AND Q8 solve in full steps
Answer:
Steps in the picture
Hope it helps
Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make
Answer:
Sheldon makes $8 profitStep-by-step explanation:
The fraction of the profit that belongs to Sheldon is ...
Sheldon / Leonard = 2 / 5
Sheldon / Total = 2 / (2 + 5) = 2/7
Then Sheldon's portion of the $28 profit is ...
Sheldon's profit = 2/7 × $28 = $8
Sheldon makes $8 profit on the first item they sell.
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?
D
B
E
A
Answer:
B
Step-by-step explanation:
So we are at C:
We need to find the dilation:
First we add 4 to x (meaning we move the point C 4 points to the right)
Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)
This will give you your point:
Which is B
Hope this helps!
May I please receive help?
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = [tex]\sqrt{23}[/tex]
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please
Answer:
The answer is 1485.875.
Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]
Hence, the answer is 1485.875.
[tex]\rule{300}{2.5}[/tex]
what is a2? ai + 1=ai +1 a0=0 ?
If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then
a₁ = a₀ + 1 = 0 + 1 ⇒ a₁ = 1
and
a₂ = a₁ + 1 = 1 + 1 ⇒ a₂ = 2
i hope it helped you :P
it was easyy!!!
can someone help me with this
maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet. Musharraf's garden measures 10 yards by 4 yards. What is the difference between the two perimeters?
The difference between the two perimeters is 32 yards.
Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.
Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:
= 2(10 + 4)
= 2 × 14
= 28 yards
The difference will be:
= 60 - 28
= 32 yards.
let f(x)=5x+5 find f(-1)
I need your help with this. please help me
[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]