Answer:
B
Step-by-step explanation:
Write an equation for the proportional relationship shown in the table.
Answer:
y = 14x
Step-by-step explanation:
First Way of Finding the Equation:
We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).
[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]
So, this proportional relationship has an equation of y = 14x.
Second Way of Finding the Equation:
Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.
From this information, we know that the equation must be y = 14x.
Hopefully that's helpful! :)
Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.
The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°
The diagram above represents a cyclic quadrilateral.
A cyclic quadrilateral has all it vertices on the circumference of the circle.
Therefore,
Opposite angles are supplementary. This means they add up to 180 degrees.
Therefore,
142° + y° = 180°
subtract 142 from both sides of the equation
142 - 142 + y = 180 - 142
y = 38°
learn more about circle theorem here: https://brainly.com/question/24795394
Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3
Answer:
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?
Answer:
600 kl
Step-by-step explanation:
The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...
V = (20 m)(10 m)(3 m) = 600 m³
1 m³ = 1 kl
The volume of water that should be removed is 600 kl.
evaluate the expression for the given value of x.
4x+9 for x =9
45
since x=9 plug in 9 into the equation to get
4(9)+9
multiply 4(9) to get
36
Then add 9
which then equals 45
Answer:
answer is 45
Step-by-step explanation:
4×9=36
36+9=45
bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamps is 33 cents?
Answer:
The least number of stamps required is [tex]9[/tex]
Step-by-step explanation:
Let the number of [tex]3[/tex] cent stamps be [tex]x[/tex] and [tex]4[/tex] cent stamps be [tex]y[/tex]
We have
[tex]3x+4y=33[/tex]
The minimum number is obtained when more [tex]4[/tex] cent stamps are used
Here [tex]y[/tex] cannot be greater than [tex]8[/tex] since [tex]\frac{33}{4} <9[/tex]
Substitute [tex]y=8[/tex]
[tex]3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=7[/tex]
[tex]3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=6[/tex]
[tex]3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3[/tex]
Possible
Hence minimum number of stamps is
[tex]=x+y\\\\=3+6\\\\=9[/tex]
What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Answer:
Step-by-step explanation:
8 lbs of apples on the x-intercept
10lbs of peaches on y-intercept
Kelly is measuring an object with a metric ruler. To minimize parallax, she should…
Answer:
Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.
Step-by-step explanation:
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answer:
it is c
Step-by-step explanation:
Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?
Answer:
1: $92000 2: 52000 + 4000t= current salary
Step-by-step explanation:
1: simple arithmetic, 52000 + 4000(10)=92000
2: equation is formed as InitialSalary + 4000*(years at company) = New Salary
or with other variables, 52000+4000*t=N
What is 2/3 of 9/12?
Answer:
0.5 in fraction form its 1/2.
Step-by-step explanation: hope this helps you <3.
1.8 divided by 3 please.
Answer: 0.6 is the answer
which statement is true?
Answer:
The slope of function A is less than the slope of function B
Explanation:
The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.
Answer:
the slope on Function A is less than Function B
Step-by-step explanation:
By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5
Solve for x help me please****
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10Equations that represent a line parallel to y=8x+4
y=8x+b, b being any number, is parallel to y=8x+4.
For example:
y=8x+2
y=8x+(1/2)
y=8x+937382
y=8x-4
James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?
1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
(1 x 3)+ (7 x 3) as a product of 2 factors
Answer:
3 + 21 = 24 and they are the product to the factors of 63
Step-by-step explanation:
calculate (3×10^5) × (4×10^4) in standard form.
NEED HELP ASAP.
Answer:
12000000000
Step-by-step explanation:
did I add too many zeros????
10 to the 5 is multiply by 10 five times (100,000)
100,000 x 3 = 300,000
For the second thing, 10 to the 4 = 10,000
10,000 x 4 = 40,000
300,000 x 40,000 = 12000000000
2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible
Answer:
D) Impossible
Step-by-step explanation:
Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.
I need to know the values of m and n.
Answer:
A) 32 and 28
Step-by-step explanation:
A= √4².√2
= √16.√2
= √32
m= 32
B= √2². √7
=√4.√7
=√28
n= 28
Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.
The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]
are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
The system of equations is given as:
[tex]2x+ 4y = 14[/tex]
[tex]4x + y = 20[/tex]
Multiply both sides of the equations by -4.
So, we have:
[tex]-4 \times (4x + y) = -4 \times 20[/tex]
Distribute the expression
[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]
Evaluate all products
[tex]-16x -4y = -80[/tex]
So, we have the following system of equations
[tex]2x+ 4y = 14[/tex]
[tex]-16x -4y = -80[/tex]
Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
Read more about equivalent equations at:
https://brainly.com/question/9603710
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
-4.67 + (5.24 –
) – (
+ 7.98) = 13.26
Answer:
6
Step-by-step explanation:
Combine the following expressions
2√18x^3 - 3√8x^3
A. -√x
B. 0
C.√x
This is what I have but it doesn't match with your answers
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].
Answer:
Try 4.5 or 5
Step-by-step explanation:
I measured it up and I estimated 4.5 at most
You have 64 inches of blue
fabric and 96 inches of green
fabric. You want to cut the fabric
into pieces of equal length with
no leftovers. What is the greatest
length of the pieces that you can
make?
Answer:
Step-by-step explanation:
48 times for the green fabric
32 for blue
The quotient of s and three
Answer:
s/3
Step-by-step explanation:
The quotient means you divide the two values.
19. The passing marks in an examination is 40%. If Seema gets 130 marks, she fails by ups 2 marks. Find the total marks.
Given :-
Passing marks in an exam is 40% .Seema gets 130 marks and fails by 2 marks.To find :-
The maximum marks for the exam .Solution :-
According to the Question ,
[tex]\dashrightarrow[/tex] Passing marks = 40% .
[tex]\dashrightarrow[/tex] Seema's marks = 130 .
Let us take the maximum marks be x . Then ,
[tex]\dashrightarrow[/tex] Passing marks = 130 + 2
[tex]\dashrightarrow[/tex] Passing marks = 132
And , by question ,
[tex]\dashrightarrow[/tex] 40x/100 = 132
[tex]\dashrightarrow[/tex] x = 132 * 100/40
[tex]\dashrightarrow[/tex] x = 330
Hence the maximum marks for the exam is 330.
Given :
Passing marks in the examination = 40% . Marks obtained by Seema = 130 .So, Let us assume the maximum marks as x .
Also,
Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]
According to the question :
[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]
Hence, The total marks is 330 .