Answers
Answer + Step-by-step explanation:
let x be the age of Kevin
y be the age of his mother
a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61
b) the coordinates of the intersection point are (15 , 46)
Interpretation:
The age of Kevin is 15
The age of Kevin’s mother is 46
Step-by-step explanation:
Let,
x = Kevin's agey = Kevin's mother's ageGiven that,
Kevin's age + Mother's age = 61
x + y = 61 [tex]\rightarrow[/tex] required equation for a)
[tex]\rule{150pt}{2pt}[/tex]
Now, we have two equations.
y - 3x = 1 -------(1)
y + x = 61 --------(2)
On solving them (using the substitution method),
[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]
Take ----(1)
[tex]y-3x=1 \\y=3x+1[/tex]
Now, substitute the value of y in ----(2)
[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]
Substitute the value of x in -----(1),
[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]
So,
[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]
Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)
[tex]\rule{150pt}{2pt}[/tex]
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Answer:
option B is correct.
Option A Option B
6x = 66 5x = 30
x = 66/6 x = 30/5
x = 11 x = 6
Option C Option D
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x = 1/6 7x = 15 - 2
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Write the equation of the parabola that has the vertex at point (2,7) and passes through
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Answer:
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Step-by-step explanation:
the answer is :- .
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Answer:
y=-4(x+2)^2+7
Step-by-step explanation:
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Answers
If a quadrilateral with four congruent sides is not regular. Then the quadrilateral will be a rhombus.
What is a rhombus?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rhombus, opposite sides are parallel and all sides are equal and each angle is not 90 degrees.
A quadrilateral with four congruent sides is not regular.
If the sides of the quadrilateral are congruent then the quadrilateral must be either square or rhombus.
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9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers?
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Lasagna 25
Vegetarian 2
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Answers
Answer:
80
Step-by-step explanation:
25/120 ( since you are trying to find probability of a situation)=.2083
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Mark's age 15 years ago can be expressed as:
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Aman bootowed Rs 500 for 3 years at the oate for 5% Find his interest and amount
Answers
Answer:
Interest=75
Amount=575
Step-by-step explanation:
Interest= Principal×rate×time÷100
500×5×3÷100=75
Amount=Principal+Interest
Amount=575
I hope you find this helpful
Answer:
Amount =principa+simple interest.
=575
Step-by-step explanation:
Simple =(P*R*T) /100.
=(500*5*3)/100.
=75.
.....
500+75=575
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Answe i
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Step-by-step explanation:
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Answer:
[tex]\frac{80}{81}[/tex]
Step-by-step explanation:
The cross numerator and denominator of 76 can be crossed out leaving out simply.
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Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) (6, 2) (6, 6) (10, -2) (2, -2) (6, -6) (-2, -2) (-10, -2)
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The possible coordinates that could be the other endpoints of a line that has a length of 4 units are: (6, 2), (10, -2), (2, -2), and (6, -6).
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Let's find the distance between (6, -2) and eaxh of the given endpoints tro know which gives us a length of 4 units.
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(6, -2) and (6, 6) = |-2 - 6| = 8 units
(6, -2) and (10, -2) = |10 - 6| = 4 units
(6, -2) and (2, -2) = |6 - 2| = 4 units
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The car you are taking is reliable and in good condition. The insurance is paid, the maintenance is up to date, and it gets about 27 miles to the gallon. The gas tank holds 18.5 gallons, and the low gas light will turn on when there are 2.5 gallons left in the tank. You have saved up $1,264
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
choice 2 ..............
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Answer:
5 inches
Step-by-step explanation:
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Answer:
Yes the two figures are congruent. They are the same size and shape they just translated it down the coordinate plane.
Step-by-step explanation:
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This is just a quick question,
but do any of you know if we can view each other's desktop if we are in the same organization?
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I will add you to brainlist if you answer this!!
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Computer monitor measurements are typically classified by the diagonal length of the viewable area. What is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? Round your answer to the nearest tenth if necessary
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Answer:
~Senpi boi here~
Step-by-step explanation:
I belive this is your exlpained answer for this qestion, As figure given in the question. Hers it is step by step:
Hypotenuse = 16 in
Base = 9 in
Putting the values in the formula
Hypotenuse² = Perpendicular² + Base²
16² = 9² + Base²
324 - 81 = Base²
243 = Base²
Base = 13.59 in (Approx)
Therefore the length of the base of the moniter be 15.59 in .
Answer: THIS IS THE CORRECT ANSWER
20"
Step-by-step explanation:
Length = 16" = L
Width = 12" = W
Diagonal = [tex]\sqrt{L^{2}+W^{2} }[/tex]
= [tex]\sqrt{16^{2}+12^{2} } = \sqrt{256+144\\\\[/tex]
= [tex]\sqrt{400} = 20"[/tex]
A number cube that has sides numbered 1 through 6 is rolled 180 times.
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you want to arrange 5 of your favorite CDS along a shelf. How many different ways can you arrange the CDS assuming that the order of the CDS makes a difference to you?
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You can arrange them in 120 different ways
The easiest way to do this is using factorials!
We are given 5 CDs
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It would look like this 5!
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write the equation of a line in slope interest form that passes through (16,0) and (17,12)
Answers
Answer:
y=12x - 192
Step-by-step explanation:
Hi there!
We are given the points (16,0) and (17, 12)
We want to write the equation of the line that contains these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes
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Now let's plug these values into the formula to find the slope
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Subtract
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Divide
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The slope of the line is 12.
Let's substitute that as m in y=mx+b.
Here is our equation so far:
y=12x + b
Now we need to find b
As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:
Substitute 16 as x and 0 as y.
0 = 12(16) + b
Multiply
0 = 192 + b
Subtract 192 from both sides
-192 = b
Substitute -192 as b in the equation
y = 12x - 192
Hope this helps!
Topic: finding the equation of the line
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Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(A) in how many ways can she arrange all 9 paintings? Show your work.
(B) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
Answers
The number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is n!. Here, n is the number of objects.
Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
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[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]
(B) Number of ways can she choose the paintings she wishes to display-There are total 9 paintings, in which Dr. Orchid wants to display 4 of the paintings. Thus, the number of ways can she choose the paintings she wishes to display is,
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{4!5!}\\^9C_4=126[/tex]
Hence, number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.
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17. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at [tex]70^{\circ} \mathrm{F}[/tex] and 173 chirps per minute at [tex]80^{\circ} \mathrm{F}[/tex] .
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Answer:
1435
Step-by-step explanation:
makatulong ba itong anser ko
HELPP Find the value of x.
7.5
8.5
8
7
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Answer:
8.
Step-by-step explanation:
I think that's the right answer. Please let me know if it isn't
8 is the correct answer the lovely person who owns this question corrected my mistake. Thank You by the way.
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$36 every 4 hours is $9 an hour
(36 divided by 4)
A.
$144 divided by $9 is 16
So A. is 16
B.
$222 divided by $9 is 24.6 rounded to 25
C.
$9•40=$360 (40hour work week)
$9•7=$63 (7 hour day)
Apologies for the messy writing
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
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Answer:
sin45°=x/16
or, 1/√2 = x/16
or, x=16/√2
or, x=8√2 or 11.31 #
jane has twice as many books as Kate. if jane gives 14 books to Kate , they will have the same number of books. how many books do they have altogether?
need help plss
Answers
Answer:
I believe the answer is 42 books.
Step-by-step explanation:
Select True or False for each statement.
16.284 rounded to the nearest whole number is 16 feet per second.
?
16.284 rounded to the nearest tenth is 16.3.
?
16.284 rounded to the nearest hundredth is 16.29.
?
HELP ASAP!!
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True
False since it would be 16.28
Answer:
True, True, False
Step-by-step explanation:
16.284 to whole is 16
16.284 to tenth is 16.3
16.284 to hundredth is 16.28
Find the value of X that makes S || T (7x-20)° and (4x +16)°
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Answer:
88189987766.9087 because x stands for 1000
Simplify the square root of (x^2 -6x+ 9) if x<3
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) (x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) {}^{2} }[/tex]
[tex]\qquad \sf \dashrightarrow \: {( x- 3) {}^{} }[/tex]
I hope you understood the procedure ~ let me know if you have doubts ~
Answered by James ~ ( Teeny fr )