Answer:7x+28
Step-by-step explanation:
Answer:
7x + 28
Step-by-step explanation:
Line up the columns just like with standard addition. Keep the x numbers in the same columns and keep the integers in their columns. It will look like this:
3x + 15
PLUS 4x + 13
----------------------
7x + 28
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼
g A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 6% margin of error at a 95% confidence level, what size of sample is needed
Answer:
Sample size required is 267 people
Step-by-step explanation:
The explanation is given in the attachment below
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.
Answer:
it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer
Step-by-step explanation:
The value of x for the given vertical angles is given as 25.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The pair of vertical angles are given as below,
∠A = (7x - 8)° and ∠B = (6x + 17)°.
Since, pair of vertically opposite angles are equal.
It implies that ∠A = ∠B.
⇒ 7x - 8 = 6x + 17
⇒ 7x - 6x = 17 + 8
⇒ x = 25
Hence, the value of x can be obtained as 25.
To know more about linear equation click on,
https://brainly.com/question/11897796
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.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges
Answer:
The answer is below
Step-by-step explanation:
Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of 270 pounds per tree, therefore:
Y(x) = 270 for x ≤ 30
If it is more than 30 trees the yield decreases by 3 pounds, hence:
Y(x) = 270 - 3(x - 30) = 360 - 3x for x > 30
The total yield T is given as T(x) = x × Y
T(x) = x × 270 = 270x for x ≤ 30
T(x) = x(360 - 3x) = 360x - 3x² for x > 30
The maximum yield is at T'(x) = 0
T'(x) = 360 - 6x
360 - 6x = 0
6x = 360
x = 360/6
x = 60
T(6) = 360(60) - 3(60²) = 10800 pounds
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let X denote the number of green candies.
The probability of green candies is, p = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, n = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
Algebra II
Find the product (multiply).
answer:
Answer:
3 m^3 - 26 m^2 + 45 m - 70
Step-by-step explanation:
Applying distributive property we get:
3 m^3 - 5 m^2 + 10 m - 21 m^2 + 35m - 70
combining like terms:
3 m^3 - 26 m^2 + 45 m - 70
Help guys, please I needed this answer PLEASE!!!
Can somebody help me with this pleaseee I need help
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225
Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
Find the slope plus extra pts
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?
Answer:
125.6 cm²
Step-by-step explanation:
Area of the shaded region = area of larger circle - area of the smaller circle
Area of the smaller circle = πr²
π = 3.14, r = 3 cm
Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²
Area of larger circle = πr²
π = 3.14, r = 7
Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²
Area of the shaded region = 153.86 - 28.26 = 125.6 cm²
I need help with this question.
Answer:
Angle RQT and Angle RQO
Step-by-step explanation:
These angles share the common vertex of Q and the common side of RQ
Answer:
The first option.
Step-by-step explanation:
The way I always remember adjacent angles is they are kinda beside each other.
Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
some please help with this!!
Answer:
h. x=11
i. x=4 1/6 (1/6 is a fraction)
k. x=-8
l. x= 3 1/2 (1/2 is a fractio)
Step-by-step explanation:
A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total
Which is the quotient and remainder, written as partial fractions, of 2x^3-x^2+x+5/x^2+3x+2
it's C
Answer: thank yuu
Step-by-step explanation:
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
The percent decrease is 87%.
Answer:
according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%
Step-by-step explanation:
the percent decrease is 87%
Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?
Answer:
i need help too
Step-by-step explanation:
...
To multiply two numbers using scientific notation, you would ____ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
Add
Step-by-step explanation:
To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.
See if that helps.
Which ordered pairs make the inequality true?
x+3y<9
Select each correct answer.
(5,1)
(1,3)
(−2,3)
(−1,4)
Answer:
The ordered pairs (-2,3) and (5,1) make the inequality true.
Step-by-step explanation:
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4
The sum of four consecutive integers is 2486. Find the biggest of these four consecutive integers.
Answer:
623
Step-by-step explanation:
2486/4 is the middle number = 621.5
Four numbers so the nearest whole numbers are the middle two
620, 621, 622, 623
=623
The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.
Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?
Answer:
The value is [tex]X = 0.1719 [/tex]
Step-by-step explanation:
From the question we are told that
The entry fee is [tex]a = \$ 11[/tex]
The outcome for first place is [tex]b = \$ 58[/tex]
The outcome for second place is [tex]c = \$ 48[/tex]
The outcome for losing is [tex] d = - \$ 11[/tex]
The chance of finishing in the top two is X
Given that there are equal chance of finishing first or second, then the chance of finishing first is [tex]\frac{X}{2}[/tex]
and the chance of finishing second is [tex]\frac{X}{2}[/tex]
Then the chance of losing(i.e not finishing in the first two) is [tex]1 - X[/tex]
given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament E(X) = 0
So
[tex]E(X) = b * \frac{X}{2} + c * \frac{X}{2} * d * ( 1 - X)[/tex]
=> [tex]0 = 58 * \frac{X}{2} + 48 * \frac{X}{2} * -11 * ( 1 - X)[/tex]
=> [tex]0 = \frac{58X}{2} + \frac{48X}{2} * -11 + 11X)[/tex]
=> [tex]X = \frac{64}{11}[/tex]
=> [tex]X = 0.1719 [/tex]