Answers
The graph of the simultaneous linear equation
[tex]y = \frac{1}{3}x + 12\\[/tex]
y = 3x + 4
is the graph given in the third option.
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
The simultaneous linear equation are
[tex]y = \frac{1}{3}x + 12\\[/tex]
y = 3x + 4
Now,
[tex]y = \frac{1}{3}x + 12\\[/tex]
At x = 0, y = 12
The graph passes through (0, 12)
First option is wrong
y = 3x + 4
At x = 0, y = 4
The graph passes through (0, 4)
Second option is wrong
So the third option is correct.
To learn more about simultaneous linear equation, refer to the link:
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Related Questions
HELP
This diagram shows part of a regular 10 sided polygon.
Work out the size of angle marked x.
Answers
Answer:
144 degrees
Step-by-step explanation:
work out the exterior angle of the shape 360/no of sides
then take it away from 180 (angle on a straight line) leaving you with the answer
The required measure of x would be 144 degrees for the shown figure.
What is the interior Angle?An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.
Interior angles of a polygon = (sides - 2) × 180°
This diagram shows part of a regular 10-sided polygon.
As per the question,
10x = (10- 2) × 180°
10x = 8 × 180°
10x = 1,440°
x = 1,440°/10
Apply the division operation, and we get
x = 144°
Thus, the required measure of x would be 144 degrees.
Learn more about the exterior angles here :
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Cara is playing a number game where she has two tiles for each number 0-9. A tile is chosen at random. List the possible outcomes for:
1. Choosing a two
2. Not choosing an even number
3. Choosing a number less than 4
thank you
Answers
Answer:
1. 2,2
2. 1,1,3,3,5,5,7,7,9,9
3. 0,0,1,1,2,2,3,3
Step-by-step explanation:
The possible outcomes are: 0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9.9
There are 20 possible outcomes
1. 2,2
2. There are 1,3,5,7,9 = 10 non even numbers
1,1,3,3,5,5,7,7,9,9
3. There are 0,1,2,3 = 8 numbers less than 4
0,0,1,1,2,2,3,3
On the southeast corner of millennium park,there is a garden walk.it is marked off in red in the drawing below. Side C,the hypotenuse of the triangle,show the row along which flowers will be planted. If a side measures 90 feet and side b measures 120 feet how many feet of flowers will be planted along side C, the hypotenuse of the triangle? Show your work and explain your reasoning.
Answers
Answer:
150 ft
Step-by-step explanation:
Apply pythagorean theorem to find length of hypotenuse, side c:
Pythagorean theorem is given as:
c² = a² + b²
a = 90 ft
b = 120 ft
c = hypotenuse
Plug in the values
c² = 90² + 120²
c² = 22,500
Take the square root of both sides
c = √22,500
c = 150 ft
What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of \angle 5?
Answers
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
Guys, please help me with this question I'm having trouble in solving this
Answers
Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers
Answers
Answer:
2³. 3². 5. 7
Step-by-step explanation:
Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.
Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7
What are the degree and leading coefficient of the polynomial?
Answers
Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?
Answers
Can someone please help me with this question
Answers
Answer:
61
Step-by-step explanation:
This is a principle: if a quardrilateral is on the edge of a circle, the opposite two angles （diagonal sum) are 180.
I sincerely need help because I don’t understand. please write an equation and how to answer AT LEAST one question.
Answers
b- correct
c- incorrect
d- incorrect
I put € 7,000 in the bank. After a year, I had € 7,210 in my account. Was my account's annual interest rate?
Answers
Answer:
3%
Step-by-step explanation:
210 / 7000 x 100% = 3%
The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 . Which expression represents the length of 1 of the triangle's legs?
Answers
Answer:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
Find the percent increase. Round to the nearest percent.
From 96 books to 127 books
The percent increase is
%.
Answers
Answer:
24% i think i hope it the right answer
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Answers
Answer:
$50
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Chole's meal cost
$40 + 5% × $40 + 20% × $40
= $40 + $2 + $8
= $50
Daphne played 240 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another string of consecutive games, although this string was 40% shorter. How many consecutive games was that?
Answers
Answer:
144.
Step-by-step explanation:
40% shorter means she played 100 - 40 = 60% of the previous tall.
60% of 240
= 240 * 0.6
= 144 games.
In the equation y = 5 + 3x what is the y-intercept ?
Answers
Answer:
-5 and it told me i needed to add more words so here you go lol
if b=15 and c=17 what would a =
Answers
A group of friends sets a goal to live within their means by not letting their car payments exceed 10% Of their monthly income amounts. The table below shows the income and car payments of each person. Which friend is demonstrating financial responsibility to staying within the goal of not having a car payment that exceeds 10% of their monthly income?
Answers
Answer:
carlos
Step-by-step explanation:
Find the volume of this right rectangular
prism.
3 in
9 in
3 in
[ ? Jin3
Answers
Answer:
81 inches
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the width × the height × the length.
So it would be 3×9×3 which equals to 81 inches
Answer: V = height*length*width = 3*3*9 = 81
Step-by-step explanation: 81
What are the two types of observations?
Subjective Observation
Data Based Observation
Analysis Observation
Objective Observation
Answers
Answer:
data and analysis djdjdjhdhd
B) Three two-digit integers have a mean average of 16 and a range of 16. The median of the integers is 12. If all three integers are even and all are different to each other, what are the 3 numbers?
Answers
Answer:
The three numbers are 10,12 and 26
Step-by-step explanation:
For the average of the numbers to be 16; it means that the sum of all the numbers will be:
3 * 16 = 48
If the median is 12, it means the middle number is 12
For the range to be 16, the difference between the highest and smallest number is 16
if the lowest is x, then the highest will be (x + 16)
So, if we added these and 12, we get 48
Thus;
(x + 16) + x + 12 = 48
2x + 28 = 48
2x = 48-28
2x = 20
x = 20/2
x = 10
Then, the last number will be x + 16 = 10 + 16 = 26
So, the three numbers are 10,12 and 26
A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045
Answers
Answer:
0.079 would be the correct answer
Step-by-step explanation:
you just do 3/10 x 5/19 and then you get the answer
SOMEONE HELP IM NEWE SORRY TYSM IF U DO<3333
Answers
Answer:
8/25 or 0.32
Step-by-step explanation:
daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive?
Answers
Answer:
c= 20.00-d
Step-by-step explanation:
you roll a six sided die what is p(1)
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
6 sides, so 6 is the denominator.
There is only one 1, so the numerator is 1.
Therefore p(1) = [tex]\frac{1}{6}[/tex]
Pilar and Ramesh left a 20% tip after having dinner. The amount of the tip was $5. Pilar's dinner cost $15. Which equation can you use to find x, the cost of Ramesh's dinner?
Answers
Answer:
5x = 15?
Step-by-step explanation:
PLEAS HELP !! ASAP ! I’ll reward with brainliest !! PLEASE PLEASE HELP
Answers
Answer:
D. 2430
Step-by-step explanation:
hi help i'll give you a brainliest<3
Answers
Answer:
11% Increase
Step-by-step explanation:
11% increase. 182,040-164,000=18,040. 18,040=11% of 182,040
A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.
Answers
Answer:
39 degrees
Step-by-step explanation:
tan^-1(100/125)
=39 degrees (cor. to the nearest degree)
Nancy wants to put up a fence around
a rectangular garden. The garden
measures 12 feet by 18 feet. How
much fencing material is needed?
A30 feet
B 108 feet
C 60 feet
D 216 feet
Answers
Answer:
if you are doing times then it would be 216 feet
Step-by-step explanation:
18 x 12 equals 216 I hope it helped