An expression to represent the sum of their ages is as follows.
g = 14 + L
How do you figure up the total age?If the ratio of the ages of X and Y is p:q and their sum is X, then the following formula can be used to calculate Y's age: Age of Y = Y/Total Ages x Total Ratios. Age of Y = (p+q) q x A.
According to the given information:Assume that L is Louannel's sister's age, m is Mark's age, and g is Gregory's age.
Gregory's age difference with his cousin Mark, who is 20 years older (m).
∴ g = 20 + m .............(1)
Also given that Mark is 6 years younger than his sister Louanne(L)
∴ m = L - 6 ............(2)
Now, substituting m = L - 6 from (2) in (1),
∴ g = 20 + L - 6
∴ g = 14 + L
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Questions:
1. What did you do to the numerators? What did you do too to the denominators?
2. Did you find like terms among the collected terms of the numerator? What did you do
to terms?
3. What factoring techniques did you apply?
4. How did you simplify your sum?
The answers to all the subparts are shown:
(1) The numerator is simply added. The denominator is copied.
(2) Yes, it has; yet, we include them since that is what needs to be done.
What is numerator and denominator?In a fraction, the number above the line is the numerator.
For instance, the numerator of the fraction 3/5 is 3.
A fraction's numerator displays the number of pieces that make up the whole while the denominator, or a number of equal parts, is displayed below the line.
So, we have the equation:
2x² + x/2x - 2 + x - 4/ 2x - 2
Now, answering questions taking the above-given equation into consideration:
(1) The numerator is simply added. The denominator is copied.
(2) Yes, it has; yet, we include them since that is what needs to be done.
(3) We complete the square, but we can also use the straightforward factoring approach.
(4) We eliminate or simply cancel the factors in the numerator that are also present in the denominator to simplify the sum.
Therefore, the answer to all the subparts are shown:
(1) The numerator is simply added. The denominator is copied.
(2) Yes, it has; yet, we include them since that is what needs to be done.
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Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marbles. The
second sack has green (G) and yellow () marbles. The third sack has silver (S) and red (R) marbles.
Which tree diagram shows all the possible outcomes for this experiment?
Ос.
OB
OD
Answer:
Option D is correct
Step-by-step explanation:
From the question, we have:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 2: G, Y[/tex]
[tex]Sack\ 3: S, R[/tex]
Required
The tree diagram
The selection process is as follows:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1
[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2
The only tree diagram that illustrates this is: option D
Formulas can be manipulated to solve for missing information.
Ex: A = bh can be written as ? or ?
I have attached the questions above pls help me ASAP
I will give the person with correct answers brainliest as reward
Answer:
a) C = 31.42
b) A = 78.55
Step-by-step explanation:
C = (2)(pi)(r), pi = 3.142 and r = 5
C = (2)(3.142)(5)
C = 31.42
A = (pi)(r)^2, pi = 3.142 and r = 5
A = (3.142)(5)(5)
A = 78.55
Consider your construction of pentagon ABCED.
What segments, if any, are parallel? Explain how you made your
determination.
Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.
Define pentagonal.Pentagons are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."
Here,
we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.
Pentagonal prisms are pentagon-shaped if we look at them from the bottom.
When viewed from the side, a pentagonal prism would have a rectangular shape.
If we were to look at the pentagonal prism from the front, it would appear rectangular.
Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.
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can y’all help me solve for n?
Answer:
Sure mate, n is equal to 27
Step-by-step explanation:
side ab is similar side pq. This is given.
12/4=3 therefore your scale factor from small to large is 3
side cb is similar to rq. This is given.
the length of cb is equal to 9 multiplying this by 3 will give you the length of line segment rq. and therefore the value of N.
9*3=27
Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?
a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"
Answer:
first function
Step-by-step explanation:
there is a common difference between consecutive terms , that is
13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 10 and d = 3 , then
[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n
3. Wite the 4th number in the pattern Rule: Add 11 starting at 34
Name three pairs of parallel segments below.
Answer:
hypotenuse,adjacent and opposite
find the slope of the line that passes through the points (4,-3) and (7,12)
Answer:
8/10
Step-by-step explanation:
12 - 4 8
-------- = -----
7 - (-3) 10
Answer:
5
Step-by-step explanation:
y2 - y1 / x2 - x1
12 - (-3) / 7 -4
15 / 3
5
If x = 34, y = 53, and the measure
of AC = 4 units, what is the difference in length between
segments AB and AD? Round your answer to
the nearest
hundredth.
A- 0.74
B- 1.17
C- 1.64
D- 2.14
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
Find the Dy/Dx of y=7/x using first principle
By using first principle, the value of Dy/Dx is,
⇒ Dy/Dx = - 7 / x²
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.
We have to given that;
The expression is,
⇒ y = 7 / x
Now, Differentiate the function with respect to x, we get;
⇒ y = 7 / x
⇒ Dy/ Dx = D / Dx (7 / x)
= 7 D/Dx (1/x)
= 7 (- 1 × x⁻¹⁻¹ )
= 7 (- x⁻²)
= - 7 / x²
⇒ Dy/Dx = - 7 / x²
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Pleaseeee help asapppppp
Simplifying
0.75x + 1.2 = 0
Reorder the terms:
1.2 + 0.75x = 0
Solving
1.2 + 0.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.75x = 0 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.75x = 0 + -1.2
0.75x = 0 + -1.2
Combine like terms: 0 + -1.2 = -1.2
0.75x = -1.2
Divide each side by '0.75'.
x = -1.6
A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.
Plant A
Time in weeks, t
60
80
100
120
Height in inches, h
90
120
150
180
Plant B
h = StartFraction 4 t Over 3 EndFraction
A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360).
If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
180 inches
200 inches
270 inches
280 inches
Answer:
B- 200
Step-by-step explanation:
ye ye
An item on ale cot 20% of the original price if the original price wa $95 what i the ale price
By using formula and solving we get the item is on sale for $76.
What is selling price?
The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.
What is the formula to calculate selling price?The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.
Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.
The formula is: Selling price = Cost + (Cost x Markup percentage)
If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:
Sale price = Original price x (1 - Discount percentage)
In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:
Sale price = $95 x (1 - 0.2)
To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8
Sale price = $95 x 0.8
Sale price = $76
So, the item is on sale for $76.
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Use the distributed property to simplify the expression 6(x+4)+1
Answer:
6x + 25
Step-by-step explanation:
6(x + 4) + 1
6x + 24 + 1
6x + 25
Answer:
6x + 25
Step-by-step explanation:
Multiply each x and 4 (inside parentheses) by 6, and then add 1 to the resulting sum:
6x + 24 + 1
Combining like terms, we get:
6x + 25
Jeremy feeds his cats the same amount every day after 4 days he has feed his cat 12 cups of food how many cups would he feed his cats in 9 days
Answer:
27
Step-by-step explanation:
12/4 = 3
3 x 9 = 27
Need help ASAP!! Plz
Answer:
Rate of change = -5/6 & Initial value = 5
Step-by-step explanation:
Rate of change = rise/run = -5/6
Initial value = y -intercept = 6
For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
tossing a coin and choosing a consonant from the word ALGEBRA
a. 2
c. 6
b. 4
d. 8
HELP PLEASE
Answer:
I would go with D, 8.
Step-by-step explanation:
Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)
There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)
2 x 4 = 8
I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.
Which of the following statements are true??
Answer:
A, D
Step-by-step explanation:
A triangle has vertices at (1, 3), (2, -3), and ( -1, -1). What is the approximate perimeter of the triangle?
Answer choices
15
10
14
16
Answer:14
Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.
4. The table gives the height and shoe sizes of six randomly selected men.
Height 67 70 73. 5 75 78 66
Shoe size 8. 5 9. 5 11 12 13 8 CO
a. What is the equation of line of best fit: 4= 42x-19. 81
b. What is the slope, and what does it mean in this problem?
C. What is the y intercept? What does it mean in this problem?
d. Using the equation of the line of best fit, if a man has a shoe size of 10. 5, what would be his predicted height?
The predicted height if the man with shoe-size 10 is 427.09 cm.
We get the answers using the following steps.
a. The equation of the line of best fit is: y = 42x - 19.81
b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.
c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.
d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:
y = 42x - 19.81
y = 42(10.5) - 19.81
y = 447.9 - 19.81
y = 427.09
So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm
It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.
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19. The Beaufort Scale measures the intensity of tornadoes. For a tornado
3
with Beaufort number B, the formula v = 1. 9B2 may be used to
estimate the tornado's wind speed in miles per hour. Estimate the wind
speed of a tornado with Beaufort number 9.
The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.
What is speed?
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).
Given:
The Beaufort Scale measures the intensity of tornadoes. For a tornado
with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to
estimate the tornado's wind speed in miles per hour.
We have to estimate the wind speed of a tornado with Beaufort number 9.
Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]
⇒
[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]
Hence, the the wind speed of a tornado with Beaufort number 9 is
51.3 miles per hour.
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what is 30 + 30?
get your points in yup yup!
What is the GCF of 20x^76 and 8x^92
The GCF of the given expressions is 4x⁷⁶
What is the greatest common factor?The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.
Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4
and x⁷⁶ is a factor of 8x⁹²
∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶
Hence, The GCF of the given expressions is 4x⁷⁶
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If tan 0= -21/20 what is cos 0 in quadrant 2
Becky says that line c and d are parallel
what must true for Becky to be correct
Answer:
c) m <2 =m <3
Step-by-step explanation:
since the angles 2 and 3 are equal then they should be alternate angles
then c and d are parallel lines
The width of this rectangle is measured as 19.4mm correct to 1 decimal place.
b) What is the
lower bound for the area of the rectangle?
Answer:
reducing 9.35 to 19.44 is rounded to 19.4
Step-by-step explanation:
9.35 to 19.44 is rounded to 19.4
19.35 = 19.4
19.36 = 19.4
19.37 = 19.4
19.38 = 19.4
19.39 = 19.4
19.40 = 19.4
19.41 = 19.4
19.42 = 19.4
19.43 = 19.4
19.44 = 19.4
Hence Lower bound of of the rectangle = 19.35 mm
Someone please help
Answer:
50 pages per hour
Step-by-step explanation:
Find the perimeter of a circle with radius 35 cm
[tex](take \pi = 22 7 \div 7[/tex]
Answer:
[tex]here \: is \: your \: solution... \\ \\ radius \: of \: circle = 35 \: cm \\ \\ perimeter \:of \: circle = \pi \: r {}^{2} \\ \\ perimeter \: of \: circle = (22 \div 7)35 \times 35 \\ \\ perimeter \: of \: circle = 3846.5 \: cm \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]
Answer:
Index or vertex are 77 so context and factors are already divided each 5..so i think radio and centimeter are 45/95 take ADF from fraction and multiplyit!! as a exactly answer!! and perimeter are revolved!!
Step-by-step explanation:
HOPE IT HELPS!!