The relationship between Priscilla's and Mary's age illustrates algebraic expression
The correct representation of the statements is b - k = 15
How to determine the representation of their ages?From the question, we have:
Priscilla = k
Mary = b
Mary = 15 years older
The third highlight above means that:
Mary = 15 + k
Substitute b for Mary
b = 15 + k
Subtract k from both sides
b - k = 15
Hence, the correct representation of the statements is b - k = 15
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The coefficient of b² in 5a²b² is ______
Answer: the coefficient is 5
3. In Figure 5.37 below, O is the centre of the circle PA and PB are tangents to the circle at A and B, respectively. If m(ZACB)=1150 ,then find: a. m(AB) b. m(ACB) . A o С P B Figure 5.37
Please help me if you can and thank youuuu :)))))
Answer:
12 crew members
Step-by-step explanation:
to find out this question you should first make 66 2/3% into a fraction
that is 99.99...% percent which is also 2/3
you can then divide 8 men by 2/3
that is 8/1 divided by 2/3 which is essentially 8/1 * 3/2
that turns into 12
that means there are 12 crew members
Please help!!
Find the equivalent rate:
300 miles in 20 seconds to miles per minute.
30 miles per min
15 miles per min
3 miles per min
Step-by-step explanation:
300/20 × 3/3 = 900/60
* 60 sec is 1 min therefore you want to get 60 secs in the denominator. In order to get that, you need to multiply.
900/60 divided by 60/60 is 15/1.
So 300m/20sec = 900m/60sec = 900mpm
If we're to do the same for all then it would be:
30m/20sec = 90m/60sec = 90mpm
15m/20sec = 45m/60sec = 45mpm
3m/20sec = 9m/60sec = 9mpm
Find the slope PERPENDICULAR to line AB
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is the experimental probability that the next marble will be red? Write your answer as a fraction, decimal, or percent. The experimental probability that the next marble will be red is
Answer:
3/20 or 0.15 or 15%
Step-by-step explanation:
Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.
Which products result in a difference of squares? check all that apply. (5z 3)(–5z – 3) (w – 2.5)(w 2.5) (8g 1)(8g 1) (–4v – 9)(–4v 9) (6y 7)(7y – 6) (p – 5)(p – 5)
Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth [tex]\rm (-4v-9)(-4v+9)[/tex] are the products that result in a difference in squares
It is required to identify which products result in a difference of squares.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We know that:
[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
In option first:
[tex]\\\rm= (5z+3)(-5z-3)\\\rm =-(5z+3)(5z+3)\\\rm =-(5z+3)^2[/tex]
It is not the difference between squares.
In option second:
[tex]\rm = (w-2.5)(w+2.5)\\\rm = (w^2-2.5^2)[/tex] By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
It is the difference between squares.
Similarly, in option third:
[tex]\rm = (8g+1)(8g+1)\\\rm = (8g+1)^2[/tex]
It is not the difference between squares.
Similarly, in option forth:
[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]
It is the difference between squares.
Similarly, in option fifth:
[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]
It is not the difference between squares.
Similarly, in option sixth:
[tex]\rm = (p-5)(p-5)\\\rm = (p-5)^2[/tex]
It is also not the difference between squares.
Thus, option 2 and option 4 are correct.
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The table of values below represents a linear function and shows the weight of a kitten as it has grown. What is the output for the initial value?
Weight of a Kitten
Kitten’s Age (weeks)
2
4
6
8
10
Weight (pounds)
0.8
1.4
2.0
2.6
3.2
a.0.2 pounds
b.0.3 pounds
c.0.6 pounds
d.0.8 pounds
Answer:
A. 0.2 pounds
Step-by-step explanation:
I just did it on edge.
Answer:
a 0.2
Step-by-step explanation:
What is a plane? Please help! Answer ASAP
Answer: A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle.
Step-by-step explanation:
Hope this helps
A plane is eather a airplane or plane a flat surface of land that is very big
due today
please help
Answer:
Hiking
Step-by-step explanation:
Given: Kayaking burns 4.5 calories per minute
The slope of the graph is 5
You can use rise over run to figure out the slope. Or you may have noticed the order pair (1,5)
This means hiking burns 5 calories per minute, which is greater than 4.5
A washing machine has a marked price of $1200. If 15% DISCOUNT is given. How much would be the sale price?
Answer:
$1020
Step-by-step explanation:
Since 15% is taken away, the total price would be $1,020. This means that the sales price is 85% of the price.
I'm thinking of 2 numbers that are multiples of BOTH 10 and 5. Which numbers could be my number?
Answer:
any numbers that are multiples of 10, such as
10 and 20
40 and 60
50 and 80
Step-by-step explanation:
Because 5 is a factor of 10, all multiples of 10 will also be multiplies of 5, such as 10, 20, 30, 40, 50, 60, and so on.
Answer both please!
Help!!!
Answer:
B
Step-by-step explanation:
Adjacent means 'next to'. Angles 1 and 4 are next to angel 3, on the top and to the right.
Which would prove that ab ≅ ac? converse of the isosceles triangle theorem substitution definition of congruency converse of the triangle parts relationship theorem
From the AAS property of congruency the side ab≅ac in the isosceles triangle.
What is the congruency of the triangle?Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.
Now for an Isosceles triangle abc given in the figure
[tex]\angle bad=\angle cad[/tex]
[tex]\angle abd=\angle acd[/tex]
[tex]ad=ad[/tex] (common side)
So from the AAS property, the triangle [tex]\Delta bad=\Delta acd[/tex] are congruence
The side ab will also be equal to the side ac.
So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.
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Answer:
The answer would be "A". Converse of the isosceles triangle theorem.
Step-by-step explanation:
You're Welcome :)
Solve for x. SHOW YOUR WORK.
Based on the vertical angles theorem we can assume that the angles are equal to each other so:
7x-25 = 4x + 2
Now find the value of x
Subtract 4x to both sides
3x - 25 = 2
Add 25 to both sides
3x = 27
Divide by 3 to isolate x
x = 7
Write down the equation of a straight line with a gradient m= 1/2 which passes through the point (0,7)
Answer:
y=mX+c
7=(1/2)(0)+c
c=7
y = 1/2 X + 7
Step-by-step explanation:
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[tex]15+3-47+462-424+35-52+48[/tex]
Answer:
40
Step-by-step explanation:
Use PEMDAS and follow the operations from left to right
Answer:
40
Step-by-step explanation:
use addition and subtraction to get answer
Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.
Complete question is;
Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options:
A) The builders were chosen at random.
B) The population included only builders who build in Vicki’s town.
C) The population included builders who build homes in any town.
D) The population included builders who do not build homes in Vicki’s town.
E) The builders were referred to Vicki by the realtor who will be selling the houses.
Answer:
Options A & B are correct.
A) The builders were chosen at random.
B) The population included only builders who build in Vicki’s town.
Step-by-step explanation:
Looking at the question, we see that Vickie wanted to determine the cost of building a new home in the town in which she lived. Now, she sampled builders who are building in the town in which she lives and thus, it makes the sample more representative.
However, the random method of choosing the builders would help to remove any lingering biases that may arise.
Thus, we can conclude that the builders were chosen at random and that it included only those who build in her town.
Thus, options A & B are correct.
Answer:
A)The builders were chosen at random., B)The population included only builders who build in Vicki’s town.
Step-by-step explanation:
what the midpoint between the point 2,6 and "-4,6
Answer: (-1, 6)
Step-by-step explanation:
Use the midpoint formula:
(Xm, Ym) = ([x1 + x2]/2, [y2 + y1]/2)
(Xm, Ym) = ([2 + -4]/2, [6 + 6]/2)
(Xm, Ym) = (-2/2, 12/2)
(Xm, Ym) = (-1, 6)
The midpoint is (-1, 6)
Work out the perimeter of a semicircle with radius 3 cm
Give your answer in terms of Pie
Answer:
3π
Step-by-step explanation:
Perimeter of circle = 2rπ
r = 3
P = 6 π
semicircle = 1/2 circle
P = 3π
I have to classify what shape it is... what is number 5
Answer:
Its a parallelogram
Hope you have a great day!
cuales son los factores de 420
Answer:
Los que estan en casillas son los factores de 420. Espero y te ayude.
Step-by-step explanation:
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress
Answer: $38.16
Step-by-step explanation:
Finding total costs with sales tax is really quite simple. Here is the formula.
O x P + O
use key below.
1. Solve
= 36 x 0.06
= $2.16
= 2.16 + 36
= $38.16
Key:
O = Original Price
P = Sales Tax Percentage
I hoped this answer helped your wonderful, creative minds. Keep working hard, and touch the stars.
- Mona May
A school typically sells 500 yearbooks each year for $50 each. The economics class does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. The revenue for yearbook sales is equal to the number of yearbook sold times the price of the yearbook. Let x represent the number of $5 decreases in price. If the expression that represents the revenue is in the form R(x)=(500+ax)(50-bx). Find the values of a and b.
we have to calculate the values of A and B, so we have to:
[tex]A=100\\B=5[/tex]
Since the equation is:
[tex]R(X)=(500+ax)(50-bx)[/tex]
And the following information was given:
A school typically sells 500 yearbooks each year for $50 each.
The economics class discovers that they can sell 100 more yearbooks for every $5 decrease in price.
So knowing that by increasing 100 more books sold this is equal to A and the decrease in value is going to be equal to b.
[tex]R(X)=(500+100x)(50-5x)[/tex]
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The distance between slits on a diffraction grating is 0. 60 mm, and one of the angles of diffraction is 0. 30°. The light forms a second-order bright band. How large is the path difference? 1047 nm 1571 nm 3142 nm 6284 nm.
The path difference will be 1571 nm
What will be the path difference?Now for the constructive interference, the formula is given
[tex]\rm dsin\theta==n\lambda[/tex]
here,
d = is the distance between slits.=060mm
θ = is the angle of diffraction=0.30 Degree
n = is the order of fringe=2
λ = is the path difference.
[tex]\lambda=\dfrac{(dsin\theta)}{n}[/tex] [tex]\lambda=\dfrac{(0.60\times10^{-3}\times sin(0.30)}{2} = 1.57\times10^{-6}[/tex]
Thus path difference will be 1571 nm
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The answer is C. 3142
The profit function, P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x)=R(x)−C(x). Andrew has determined that the revenue and cost functions for a new product line at his business are given by these functions.
R(x)=5x
C(x)=1200+3x
What is the profit function for Andrew’s new product line?
P(x)=2x−1200
P(x)=2x+1200
P(x)=8x−1200
P(x)=8x+1200
Answer:
The answer is P(x)8x-1200
Step-by-step explanation:
The profit function for Andrew’s new product line will be P(x) = 2x - 1200. Then the correct option is A.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Revenue function - Cost function
Andrew has determined that the revenue and cost functions for a new product line at his business are given by these functions.
R(x) = 5x
C(x) = 1200 + 3x
Then the profit function for Andrew’s new product line will be
P(x) = R(x) - C(x)
P(x) = 5x - 1200 - 3x
P(x) = 2x - 1200
The profit function for Andrew’s new product line will be P(x) = 2x - 1200. Then the correct option is A.
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#3 and 4, show work please
Answer:
Question 3: 2.7 hours
Question 4: 2.3 hours
Step-by-step explanation:
Question 3:
Time taken by 1st delivery driver = t1 = 6 hours
Time taken by 2nd delivery driver = t2= 5 hours
Time together = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 6 } + \dfrac{ 1 }{ 5 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.166+0.2 = 0.366}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.366 } = 2.732}[/tex]
Rounded to the nearest tenth: 2.7 hours
Question 4:
The first valve takes 4 hours to completely drain = t1
[tex]\mathrm{Rate\:for\:first\:valve\:will\:be\:\dfrac{1}{4}\:per\:hour}[/tex]
The second valve taken 5.25 hours to completely drain = t2
[tex]\mathrm{Rate\:for\:second\:valve\:will\:be\:\dfrac{1}{5.25}\:per\:hour}[/tex]
Combined time = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 4 } + \dfrac{ 1 }{ 5.25 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.25+0.190 = 0.44}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.44 } = 2.272}[/tex]
Rounded to the nearest tenth: 2.3 hours
yo please help meee with this question
Answer:
34
Step-by-step explanation:
difference between mass and weight
Mass is how much "matter" something is. Weight is this with respect to gravity. Therefore, if you took a ball to the moon, its mass would not change because the amount of matter is unaffected but the weight will change because the Earth and the Moon have different gravitational pulls.
Hope this helps!!
What is the simplest form of this expression?
6b(-2b + 1) + 862
Enter the correct answer.
Answer:
-12b² + 6b + 862
Step-by-step explanation:
[tex](6b)(-2b)+(6b)(1)+862[/tex] [tex]-12b^2+6b+862[/tex]Answer:d
Step-by-step explanation: