Answer:
A) 30x
Step-by-step explanation:
5(x - 2x + 6x + 10)
Distribute:
5(x) + 5(-2x) + 5(6x) + 5(10)
5x - 10x + 30x + 50
Therefore, 5(x - 2x + 6x + 10) is equivalent to 5x - 10x + 30x + 50
Hope this helps!
Answer:
A) 30x
Step-by-step explanation:
Given equation:
5(x – 2x + 6x + 10) = 5x – 10x + ? + 50
Let the "?" be represented as "a". Then,
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
[Right hand side] Put all the terms inside a parenthesis (except "a").
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
⇒ 5(x – 2x + 6x + 10) = (5x – 10x + 50) + a
Isolate the "a" on one side by subtracting the terms inside the parenthesis.
⇒ 5(x – 2x + 6x + 10) - (5x – 10x + 50) = (5x – 10x + 50) + a - (5x – 10x + 50)
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
[Left hand side] Simplify the distributive property
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
[Left hand side] Open the parentheses
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
[Left hand side] Combine like terms and simplify
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
⇒ x(5 – 10 + 30 - 5 + 10) + (50 - 50) = a
⇒ x(30) = a
[Left hand side] Open the parenthesis and simplify
⇒ x(30) = a
⇒ 30x = a = ?
Therefore, the correct option is A (30x).
Amaya travels from her home to Stoke
the distance from her home to stoke is 150 miles she travels at an average speed of 50 miles per hour
she stops for 20 minutes on the journey
amaya arrives in stoke at 11:15am
what time did she leave home?
Answer:
She left at 7:55
Step-by-step explanation:
She travels 150 miles at 50 miles an hour, it takes her 3 hours to get to stoke but she stopped for 20 minutes. Subtract 20 minutes from 11:15, and you get 10:55, then subtract 3 hours. You get 7:55. This means she left the house at 7:55.
Rob owns stock in dowc beverage co. and agram imports. he owns 86 more shares of agram imports, which pays a dividend of $5.15 per share, than he does of dowc beverage co., which pays $6.52 per share. if rob receives $4,585.15 in dividends annually, how many shares of agram imports does he own? a. 535 shares b. 635 shares c. 398 shares d. 441 shares
If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
What is a dividend?A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.
Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.
Data and Calculations:Dowc Beverage Co. Agram Imports
Dividend per share $6.52 $5.15
Number of shares x x+ 86
Number of shares 355 (441 - 86) 441 (355 + 86)
Total dividend received $2,314.60 ($4,585.75 - $2,271.15)) $2,271.15
which is equivalent to $2,314.60 ($355 x $6.52)
Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.
Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
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What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639
Mr. Brown took his class to see a play. Each student ticket was $3.00. Each adult ticket was $5.00. The class spent a total of $190 on tickets. Write an equation in standard form to represent this situation.
Write an 27, 31, 35, .... explicit formula for an, the n th term of the sequence
Answer :
See below ~
Explanation :
Common difference (d) between terms is :31 - 27 = 4Then the recursive formula is :
aₙ = aₙ₋₁ + 4Which number sentence is represented by this model?
Answer:
Correct answer is B. -3 • 5 = - 15
GIVE A GOOD DETAILED AND ORIGINAL ANSWER FOR BRAINLIEST
Question 3(Multiple Choice Worth 5 points)
(08.03 MC)
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 11 to 14 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark, and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
Group B, because three children in the group have the least forearm length of 11 inches
Group A, because three children in the group have the least forearm length of 11 inches
Group A, because seven children have a forearm length longer than 12 inches
Group B, because two children have a forearm length longer than 12 inches
Using the dot plot, the correct option regarding the group that appears to have the longer average forearm length is:
Group A, because seven children have a forearm length longer than 12 inches
What does a dot plot show?A dot plot shows the number of times each measure appears in the data-set.
In this problem, Group A has 3 students with forearm length of 14 inches, while group B have none. Group A also has more students with forearm length of 13 inches, and less of 11 and 12(lower values). Hence the correct option is given by:
Group A, because seven children have a forearm length longer than 12 inches.
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A paint roller is 12 inches long and has a radius of 3/4 inch. what is its lateral area?
Answer: The answer is [tex]16[/tex], You need to reduce the expression, if possible, by canceling the common factors. Then its lateral area of 12 inches and the radius of 3/4 inches would be 16.
Therefore your answer would be [tex]16[/tex].
Based on the concrete of the lateral area and the content of the question, the right answer is 18π
What is the lateral area?The lateral area is the term that is used to describe the surface of an object as all of the sides of the object, excluding its base and top. Generally, the term lateral area is different from the surface area, which is the lateral surface area together with the areas of the base and top.
Hence, in this case, to calculate the lateral area of the paint roller, find the circumference of the roller and multiply it by its length.
The circumference of a circle can be found using the formula: C = 2πr where r is the radius.
Given that the roller has a radius of 3/4 inch let's substitute this value into the formula to find the circumference:
C = 2π(3/4)
C = 6π/4
C = 3π/2
Now we have the circumference of the roller.
To find the lateral area we multiply the circumference by the length of the roller which is 12 inches:
Lateral Area = Circumference x Length
Lateral Area = 3π/2 x 12
Lateral Area = 36π/2
Lateral Area = 18π
Therefore, in this case, it is concluded that the lateral area of the paint roller is 18π square inches.
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Find the vertex. f(x) = 9x2 + 1
Answer:
vertex = (0, 1 )
Step-by-step explanation:
f(x) = 9x² + 1 ← has it's vertex on the y- axis
let x = 0 in f(x)
f(0) = 9(0)² + 1 = 0 + 1 = 1
vertex = (0, 1 )
Help with this application of surface area and volume problem? i will reward brainly, this is 10th grade geometry! Any help appreciated! I am really struggling
Answer: 20.4
Step-by-step explanation:
Does anybody know this? Need it done soon. Find the surface area. Use 3.14 for pi. Do not round your answer
Answer:
113.04 yd²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is:
2πrh+2πr² r = radius, h=height
The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.
2πrh+2πr²
2(3.14)(2)(7) + 2(3.14)(2)^2
= 113.04 yd²
find the value of x.
Answer:
74 I believe
180 - 32 = 148
148/2 = 74
Hope this helps!
Answer:
[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]
Factor completely.
Show all work.
a) ²−7−18
b) 2²−26+24
c) 10²+37+7
d) ²−25
e) 42−4+1.
f) 144²−36
Answer: First find the GCF ( greatest Common Factor):-
GCF of 16, 24 and 48 is 8
GCF of the x terms is x^3
GCF of the y terms is y^4
So GCF is 8x^3y^4
Factoring:-
= 8x^3y^4 ( 2x^6y^4 - 16x^2y^2 + 3) answer
Step-by-step explanation:
When dividing a number by 10, where is the decimal point moved?
Answer:
decimal point is moved one digit towards the left when divided by 10.
for example:
50.1 ÷ 10 = 5.01
hope that helps you...
bag contains eight red marbles and
seven blue marbles. You randomly pick a
marble and then pick a second marble
without returning the marbles to the bag.
The first marble is red and the second
marble is blue.
The probability of getting first marble is red and the second
marble is blue is 4/15.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.
Given that:
Number of red marbles= 8
Number of blue marbles= 7
Total Number of marbles= 8+7 = 15 marbles.
P(red Marble) =[tex]\frac{8}{15}[/tex]
No replacement, now the total marbles = 14
P( blue marbles) = 7/14
Now, P( first marble is red and the second marble is blue.)
= 8/15*7/14
= 4/15
Hence, the probability of getting first marble is red and the second
marble is blue is 4/15.
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We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $2, 600 and σ = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?a. State A because the sample represents a larger segment of this small population. b. State B because there is less variability in larger populations so estimates from samples are more accurate. c. Equally likely because σ = $800 for both states.
Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:
c. Equally likely because σ = $800 for both states.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that for both states, [tex]\sigma = 800, n = 100[/tex], hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.
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Problema 2 (Reto) Considera que Nueva York y Londres están ubicadas a la misma latitud. Utilizando la información del radio de la tierra y lo aprendido hasta ahora, calcula distancia aproximada que separa las dos ciudades, especificando cada uno de los razonamientos seguidos en tu estrategia de solución.
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
Cómo se estima la distancia entre dos ciudades
En esta pregunta asumimos que la Tierra tiene una geometría esférica, de modo que los cálculos de arcos circulares se pueden obtener de manera simple y ágil. Por otra parte, también asumimos que las que la ciudad de Londres se encuentra a la misma latitud que la ciudad de Nueva York.
Es posible determinar la distancia estimada mediante la siguiente ecuación de arco circular:
s = [(θ' - θ) · π/180] · R · cos α (1)
Where:
θ' - Longitud de la ciudad de Londres, grados.θ - Longitud de la ciudad de Nueva York, en grados.α - Latitud de la ciudad de Nueva York, en grados.R - Radio ecuatorial de la Tierra, en kilómetros.Si sabemos que θ' = 7°, θ = - 73°, α = 40° y R = 6371 km, entonces la distancia estimada entre la ciudades de Nueva York y Londres es:
s = [(7+73)/180] · π · (6371 · cos 40°)
s ≈ 6814.420 km
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
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-11+13+ 10x + 2x
I will give you brainliest
Answer:
12x + 2Step-by-step explanation:
-11 + 13 + 10x + 2x =
2 + 10x + 2x =
12x + 2
Answer:
2(6x+1)
Step-by-step explanation:
1. Add the number
-11 + 13 + 10x + 2x
2 + 10x +2x
2.Combine like terms
2 + 10x + 2x
2 + 12x
3.Arrange terms
2 + 12x
12x + 2
4.Common factor
-11 + 13 + 10x + 2x
2(6x+1)
A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
Answer:
I think it is 275πcm^3 or 863.94cm^3
Step-by-step explanation:
please correct me if I'm wrong
Select the graph that matches the equation y = 8
5
10
x + 9.
Answer:
option C
Step-by-step explanation:
y = mx + b → y = 8.5x + 9
b is the y intercept: 9
m is the slope: 8.5
to identify this on the graph, the y intercept is when x = 0
crossing the vertical bold (y) line
so which one is at 9? c is the only one at 9
find the solution to the system of equations. Y=2x+2
Answer:
[tex](0, 2)[/tex]
Step-by-step explanation:
From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)
Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]
Consider the system of equations. 3x + 2y = 16, x + y = 4 Which numerical values could you multiply the second equation by to eliminate a variable? Select all that apply. 2 -2 03 D-3 34 -4
Answer:
-2 and -3
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for the
meal.
If she earns $3.25 an hour, works 25 hours this week, and has served meals costing $415, what is Sherry's gross pay?
O $108.90
O $122.75
O $127.25
O 143.50
Answer:
143 50
Step-by-step explanation:
I hope it helps pa brainlest po
is the only plane shape in which every point on the figure is the exact same distance from the center.
The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle
How to Identify a Circle?
There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.
Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.
The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.
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The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.
What is the area of the base of the prism?
A) 3 1/3 cm²
B) 5 1/4 cm²
C) 9 3/4 cm²
D) I don't know
Answer:
C
Step-by-step explanation:
To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.
I need help with math!!! please help
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
6x-6 + 7x+1 +55 = 180
Combine like terms
13x+50=180
Subtract 50 from each side
13x+50-50=180-50
13x = 130
Divide by 13
13x/13 =130/13
x = 10
The answer is A!
From this, we will get the equation
(13x -5) + 55 = 180
+ 5 on both sides
13x + 55 = 185
-55 on both sides
13x = 130
Divide by 13 on both sides
x = 10
8
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math
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math geniuses pls help!!!
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pls check other questions as well thanks,!
An experimental study involves the researcher seeking to affect the results on purpose. The given situation is an observational study.
What are surveys, experiments, and observational studies?Surveys are one type of observational study since the researchers have no control over the results. Statistical surveys collect data from a sample group in order to learn more about the overall population.The sample population being examined is measured, or surveyed, in observational research. The researcher watches the individuals and measures variables but makes no attempt to influence the population or intervene in the study.In contrast to an observational study, an experimental study involves the researcher seeking to affect the results on purpose. The objective is to find out what influence a certain therapy has on the result.Since the researcher needs to find if a certain medicine improves the symptoms of the flu, therefore, the objective is to find out what influence a certain therapy has on the result. Hence, the given situation is an observational study.
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how to make a decimal into a fraction
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
The equation of a straight line is given a x = 2y - 1 Write the equation in the form y = mx + c
Answer:
2y = x - 1
Step-by-step explanation:
y = 2y
mx = x
c = -1
3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
Answer:
6
Step-by-step explanation:
g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.
Let's find the value of f(0).
f(x)= x²
f(0)= 0²
f(0)= 0
Now, we can find the value of g(f(0)).
g(x)= x +6
g(f(0))
= g(0)
= 0 +6
= 6
