Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven
The point (-6, -3)The slope m = 2/3Using the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 2/3(x₁, y₁) = (-6, -3)substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)[/tex]
[tex]y+3=\frac{2}{3}\left(x+6\right)[/tex]
Subtract 3 from both sides
[tex]y+3-3=\frac{2}{3}\left(x+6\right)-3[/tex]
[tex]y=\frac{2}{3}x+4-3[/tex]
[tex]y=\frac{2}{3}x+1[/tex]
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
[tex]y=\frac{2}{3}x+1[/tex]
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
At Adam's Hats, there are 52 baseball caps and 13 other hats. What percentage of the hats are baseball caps?
Total hats = 52 + 13 = 65
Percentage that are baseball = number of baseball/ total hats x 100.
52/65 = 0.8 x 100 = 80%
80% are baseball hats
Answer: 80%
Step-by-step explanation:
First, you would add 52 and 13 together. That would be 65. Then you would divide 52 by 65. The answer is 0.8. That is equal to 80%.
the sum of two numbers is 21 the second number is 6 times the first number work out the two numbers
Answer:
3,18
Step-by-step explanation:
x+6=21
7x=21
21/7x=3
Other 6x=6(3)
6x=18
The numbers=3,18
Hope this helps xx
Laura walked 6 laps of a circular path in 2 hours. At that rate, how many laps of the
path did she walk in one hour?
Answer:
3 laps
Step-by-step explanation:
6 / 2 = 3
The advertised size of a pizza is the diameter of the pizza. Which is closest to the area of the crust of a 15-inch pizza?
Answer: 177
step by step explanation :the real answer would be (7.5)^2 = 176.71.. The answer is 177 because if you do all the math you will see that that is the answer that is closest to the answer that you originally received.
A. 8
B. -1
C. -8
D. 1
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
Lin runs 12 laps around a track in 6 minutes. How many laps per minute is that? *
Step-by-step explanation:
6 min => Run 12 laps around the track
1 min => 12/6 = 2 laps around the track
Therefore Lin runs 2 laps per minute.
Answer:
2 laps per minute
Step-by-step explanation:
What we know:
Lin runs
12 laps
in 6 minutes
Laps per minute = [tex]\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}[/tex]
PLEASE HELP IK THIS ISN'T MATH BUT PLEASE HELP ITS TIMED
Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
In class, pairs of students were given numbers to work with. In each pair, one student found the greatest common factor and the
other student found the least common multiple.
Jess and Nate were given the numbers 8 and 12.
• Jess found that the greatest common factor is 4.
• Nate found that the least common multiple is 48.
One of these students made a mistake.
Which student made a mistake?
What number should the student have found instead?
Answer:
Nate made a mistake. The LCM is actually 24.
Step-by-step explanation:
So, Jess found the GCF of 8 and 12 is 4. Let's make sure first.
Method 1: List the factors of 8 and 12.
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12
Method 2: Or find the prime factorization of 8 and 12
8: 2 * 2 * 2
12: 2 * 2 * 3
Both 8 and 12 share 2 2's.
Multiply 2 by 2 to get 4 as the GCF
4 is the greatest factor 8 and 12 share, so Jess is correct.
Nate found the LCM of 8 and 12 is 48. Let's make sure that's correct.
Method 1: List the multiples of 8 and 12.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144
24 is the smallest number 8 and 12 have in common.
Method 2: Union of Primes
8: 2 * 2 * 2
12 : 2 * 2 * 3
Create a union of these primes.
Union: 2 * 2 * 2 * 3
4 * 2 * 3
8 * 3
24 = LCM
The LCM of 8 and 12 is 24, not 48, so Nate is incorrect. Thus, Nate made the mistake.
6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).
Answer:
base = 519.62, height = 173.21 m
Step-by-step explanation:
Let the base and height of the triangle be represented by b and h respectively.
Thus,
b = 3h
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
For the given triangle,
area = [tex]\frac{1}{2}[/tex] x b x 3h
= [tex]\frac{3}{2}[/tex]bh
Area of the triangle = [tex]\frac{3}{2}[/tex]bh
To determine the number of hectares,
36 per hectare = 486
hectare = [tex]\frac{486}{36}[/tex]
= 13.5
numbers of hectares = 13.5
Area of the hectares = number of hectares x 10 000 m²
= 13.5 x 10 000
= 135000
Total area of the hectares = 135 000 m²
So that,
area of the hectares = area of the triangle
area of the triangle = [tex]\frac{3}{2}[/tex]bh
135 000 = [tex]\frac{3}{2}[/tex]bh
270000 = 3bh
bh = [tex]\frac{270000}{3}[/tex]
= 90000
bh = 90000
But, b = 3h
3h x h = 90000
3[tex]h^{2}[/tex] = 90000
[tex]h^{2}[/tex] = [tex]\frac{90000}{3}[/tex]
= 30000
h = [tex]\sqrt{30000}[/tex]
= 173.2051
h = 173.21 m
So that,
b = 3 x 173.2051
= 519.6153
b = 519.62
Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.
Julio wants to deposit $1500 into savings accounts at three different banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will deposit five times as much into Merchant Bank as Bank of Chance because they offer a higher interest rate. He also expects the Utopian Financing deposit to be only 25% of the total of the other two deposits. How much will Julio deposit into the Utopian Financing savings account?
please show work I'm confused on how to solve
A) 375
B) 1000
C) 200
D) 300
What is the correct sequence of steps?
I dunn know wut you mean but herez..
Simplify the parenthesis
Simplify all exponents
Simplify all multiplication and division, left to right
Simplify all addition and subtraction, left to right
Hava gud day :P
iii,v,iv,i, and ii
can I get brainlyest?
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answer:
Lol its 8
Step-by-step explanation:
Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.
Which equation is NOT a linear function?
Answer:
y=x^2-2
Step-by-step explanation:
Linear functions have a constant slope, so nonlinear functions have a slope that varies between points. Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions. An example of a nonlinear function is y = x^2
Answer:
y=x^2 -2
Step-by-step explanation:
This will result in a parabola, which does not fit the description of a linear function.
Write an equation that models this problem: Trevor paid$528 to stay at the MGM Grand Hotel in Las Vegas for four nights over New Year's weekend. What was the rate,r, per day to stay at the MGM Grand for New Year's?
Answer:
r = $105.6
Step-by-step explanation:
Given,
Amount paid by Trevor for 4 nights = $528
Rate per day = r
Now,
We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.
Now,
Amount paid = Number of days x Rate per day
$528 = 5 r
[tex]r = \frac{528}{5}[/tex]
r = $105.6
Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.
A system of two equations is shown. x+2y = 62x−3y = 26 What is the solution of the system?
Answer:
answer is B
Step-by-step explanation:
If you help me I’ll give brainliest and 20 points only answer if you know pls and thank you
Answer:
(2/3)^4 and (4/9)^2
Step-by-step explanation:
2.
3.
Mal slept for x hours, and Kiran slept for 1/10
less than that
Kiran practiced the piano for x hours, and Mal
practiced for 2/5 less than that.
Mai drank x oz of juice and Kiran drank 4/3
more than that
Kiran spent x dollars and Mal spent 1/4 less
than that.
Mai ate x grams of almonds and Kiran ate 1.5
times more than that.
Kiran collected x pounds of recycling and Mai
collected 3/10 less than that.
Mai walked x kilometers and Kiran walked 3/8
more than that
Kiran completed x puzzles and Mal completed
3/5 more than that.
a. y = 2.5.2
by=1.3752
cy=0.92
d.y=0.72
e. y=0.62
4
5.
6.
7
f. y=.752
8. y= 2.332
hy=1.62
8.
Yeah
Answer:
The answer is below
Step-by-step explanation:
a) Let y represent the amount of time kiran slept, hence:
y = x - (1/10)x = x - 0.1x
y = 0.9x
b) Let y represent the amount of time Mia practice, hence:
y = x - (2/5)x = x - 0.4x
y = 0.6x
c) Let y represent the amount of drink kiran drank, hence:
y = x + (4/3)x = 7x / 3
y = 7x/3
d) Let y represent the money Mai spent, hence:
y = x - (1/4)x = x - 0.25x
y = 0.75x
e) Let y represent the amount of almond kiran ate, hence:
y = x + 1.5x = 2.5x
f) Let y represent the recycling Mai collected, hence:
y = x - (3/10)x = x - 0.3x
y = 0.7x
g) Let y represent the amount of km kiran walked, hence:
y = x + (3/8)x
y = (11/8)x
h) Let y represent the amount of puzzles mai completed, hence:
y = x + (3/5)x = x + 0.6x
y = 1.6x
A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.
Answer:
25km/hr (take the word train as bus )
Step-by-step explanation:
Answer
Let x km/hr be the constant speed of the train,
Then Time taken to cover 300km=
x
300
hrs
Time taken to cover 300km when the speed is increased by 5km/hr=
x+5
300
hours
It is given that the time to cover 300km is reduced by 2 hours
∴
x
300
−
x+5
300
=2
⇒
x(x+5)
300(x+5)−300x
=2⇒2x
2
+10x=1500
⇒x
2
+5x−750=0⇒x
2
+30x−25x−750=0
⇒(x+30)(x−25)=0⇒x=25orx=−30
But x cannot be negative. Therefore x=25
Hence, the original speed of the train is 25km/hr
How much is 92 quadrillion cents
Simplify fully
a) 8⁴4d⁵÷2c³d³
Answer:
here it the answer
Step-by-step explanation:
hope it helps
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.
What are the coordinates of E??
Answer:
(10, 1)
Step-by-step explanation:
It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).
A semicircle has radius 8.2cm
PLS HELP ME FIND X PLS
Answer:
The angle of x is 155!
Step-by-step explanation:
180-90-35=55
180-60-55=65
180-90-65=25
180-25=155
Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?
Answer:
noun and fairness
Step-by-step explanation:
Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.
Justice is noun part of speech.
What do you mean by Speech?Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.
Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.
Therefore, Justice means fair treatment and it is noun part of speech.
Learn more about Speech, here;
https://brainly.com/question/29586134
#SPJ2
3x+2(6x)=15
Can you please solve for x?
Thanks!
Answer:
x=1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
6x x 2=12x + 3x = 15x
15x/15 = 15/15
x = 1
A dog weighs 20% more than it did three months ago. It weighs 36 pounds now.
How much did the dog weigh three months ago?
Answer:
30 poundsStep-by-step explanation:
Let the weight 3 month ago be x.
20% more than x is:
1.2xWe now have the following equation:
1.2x = 36x = 36/1.2x = 30 poundsWhat is 13% of 645.2
Answer:
[tex]\huge\boxed{\sf 83.876}[/tex]
Step-by-step explanation:
[tex]\sf = 13 \% \ of \ 645.2\\\\= \frac{13}{100 } * 645.2\\\\= \frac{13*645.2}{100} \\\\= 8387.6 / 100\\\\= 83.876\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
83.876
Step-by-step explanation: