The required equation in the slope-intercept form is y = 2/3x - 4.
What is slope intercept form?Y = MX + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form.
We can see that the slope of the line in our equation, y = 6x + 2, is 6.
So, we have the equation:
2x − 3y = 12
To represent the equation in the slope-intercept form:
First, remove 2x from both sides of the equation to move the independent variable (x) to the right side of the equation.
2x − 3y − 2x = 12 − 2x
− 3y = 12 − 2x
The dependent variable is the only component of the left side of the equation, as seen in the generic equation of a line in slope intercept form, whereas the independent variable and constant are both present on the right side of the equation.
The result of multiplying by 1 and dividing by 3 into both sides of the equation is:
-1 * -3y/3 = -1 * (12 - 2x)/3
y = 2/3x - 12/3
y = 2/3x - 4
Therefore, the required equation in the slope-intercept form is y = 2/3x - 4.
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Teresa is going to make 3 batches of cookies. She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon. How many tines will she need to fill up the measuring cup 3 times
Given :
Teresa is going to make 3 batches of cookies.
She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon.
To Find :
How many times will she need to fill up.
Solution :
Amount of milk need per batch, A = 3/4 gallon.
Measuring cup only holds, m = 1/4 gallon.
Number of times she need to fill up,
n = A/m = (3/4)/(1/4) = 3
Now, number of batches are three.
So, number of time she need to fill up in three batch.
[tex]N = n \times 3 \\\\N = 3 \times 3 \\\\N = 9[/tex]
Therefore, this is the required solution.
Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11
Answer:
x + 7 > 18
Step-by-step explanation:
Answer:
The answer should be B
Step-by-step explanation:
Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.
6. Polygon ABCD is rotated 270 degrees
counterclockwise around the origin.
Identify the coordinates of B'. Write your response
in the form (x,y)?
Answer:
(-5, 2)
Step-by-step explanation:
If 27 ×32 = 3x×2y;find the values of x and y
Answer:
Step-by-step explanation:
hello :
27 ×32 = 3x×2y
means : 27 ×32 = 6xy
xy= (27 ×32)/6
xy = 144
but : 144 =12² = (4×3)²=(2²×3)²
144=2^4 ×3²
so : xy = 2^4 ×3²
if x and y the integere numbers so x and y are the divisors of 144
1 , 144, 2 ,72 , 4 , 36 , 8 18 , 3 , 48 , 6 , 24 , 9 , 16 , 12
PLEASE HELP ASAP PLEASE
Answer:
-5.5
Step-by-step explanation:
-10, -9, -8, -8, -6, -5, -1, 1, 7, 6
Please help me with this homework
Answer:
5m the last option is correct
Step-by-step explanation:
by phythagorean theorem
hypotenuse^2=base^2+altitude^2
hypotenuse ^2= (4)^2+(3)^2
=16+9
=25
taking square root on both isdes
hypotenuse=5 m
Find the area of the parallelogram shown below.
5
4
square units
Answer:
20 sq un
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
Find the measure of CGD.
Answer:
23°
Step-by-step explanation:
For this scenario say point G is the center point,
If we look to the left, we see angle FGE has a value of 23
and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same
so therefore angle CGD should be 23 degrees
Solve for the missing side. Round to the nearest tenth.
Answer:
? = 7.2
Step-by-step explanation:
Remark
Is that a misshapen circle or is it an ellipse? I'm going to assume it is a circle, but if I am wrong, leave a comment. A tangent will meet a diameter's end at right angles which allows you to use the Pythagorean theorem.
Formula
a^2 + b^2 = c^2
Givens
c = 12
a = 9.6
b = ?
Solution
c^2 - a^2 = b^2
144 - 92.16 = b^2
b^2 = 51.84 Take the square root of both sides
sqrt(b^2) = sqrt(51.84)
b = 7.2
Please help me! brainliest for correct answer
Answer:
limo is c = 0.20m + 25
taxi is c = 1.20m
Step-by-step explanation:
When converting a linear equation into Slope Intercept form, what is our main goal? Vour answer
Answer:
You have to make sure the y= is always on the left side and so it looks like ,y=mx+b. m=slope, x=independent variable and b = y intercept.
Step-by-step explanation:
Hope it helps :)
PLEASE HELPP 6TH GRADE MATH!!
Answer: 1- 2:3
2- 4:7
3- draw 5 of something, then one of something else
4- same as 3
5- 10, 3, and 20
6- 14, 21, and 4
Step-by-step explanation:
please help(if you could tell me why,that would be awesome)
I have to find the missing angles
Answer:
Angle 3 = 115°
Angle 4 = 22°
Angle 5 = 43°
Angle 6 = 115°
Step-by-step explanation:
These two triangles are congruent by SSS. It is given that two sides are congruent already, and by the reflexive property, they share a side and therefore have a third congruent side.
By CPCTC, all of their angles and sides are also congruent. And by the triangles angle sum theorem, side 3 and 6 must equal 115°
~~~
Have a nice day. Feel Free to ask questions. Spread the love.
Step-by-step explanation:
4 = 22⁰
5 = 43⁰
3 and 6 are same
kite total angles = 360⁰
so, to find 3 and 6, we need to subtract all angles we have and devide it with 2 because we need to find 2 angles...
360-22-22-43-43= 230
3 and 6 = 230 ÷ 2
= 115⁰
Sam's two new aquariums each hold exactly 200 gallons of water.One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquarium.He will buy 5 small fish for every 10 gallons of water in the aquarium.He will buy 8 large fish for every 40 gallons of water in the aquarium.What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Could the ration be 25 small fish for every 10 big fish?
Answer:
100 small fish will be in 200 gallons of water. 40 large fish will be in 200 gallons of water.
Step-by-step explanation:
200/10=20
20*5=100 small fish
200/40=5
5*8=40 large fish
100+40=140 total fish
small fish/large fish=100/40=10/4=5/2 is the ratio
the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________
Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
Select ALL TRUE statements about Quadratic Functions:
A. They are 2nd degree functions.
B. They have "V" shaped graphs.
C. Vertex form is used for graphing.
D. From a table, has a constant second difference.
Answer:
D AND C ARE THE CORRECT ANSWERS
Step-by-step explanation:
NP have a good day brainlest? and heart
Answer:
A and C
Step-by-step explanation:
1 ≥ x - 9
Find out what x means.
Given the arithmetic sequence where an= 3 + 2(n-1), what is the domain for n?
Answer:
The set of all positive integers equal to or greater than 1
Step-by-step explanation:
n can take on the integer values 1 ... ∞
The formula for the nth term is a(n) = a(1) + 2(n - 1)
First term: n = 1. Then a(1) = 3 + 2(0) = 3 (as expected).
5th term: n = 5. Then a(5) = 3 + 2(5 - 1) = 3 + 8 = 11
...
and so on.
Solve for the value of t.
HELP!!
Answer:
28
Step-by-step explanation:
2x28 = 56 -7 = 49
my answer has to be 20 characters long so don't mind the sentence with words
Answer:
t= 27
Step-by-step explanation:
2t-7=49
+7+7
2t=56
t=27
Find the number that makes the ratio equivalent to 1:4.
7:
Submit
Answer:
2 : 8
Step-by-step explanation:
what is $2,609.75 in
expanded notation
Answer:
twenty-three thousand nine hundred fifty-eight
Step-by-step explanation:
have a great day! also use the "expanded form calculator"
if this is not right, sorry!! <:-)
Which measures describe the variation on a data set? a. Mean b. Median c. Mode d. MAD e. Interquartile range f. Range
Answer:
e, f
Step-by-step explanation:
A measurement of variability is an overview of the amount of dispersion in a dataset. The measures that can describe the variation on a data set are Range, Interquartile Range, Variance, and Standard Deviation.
So ,The among the given options the e. Interquartile range f. Range
Range of dataset is the difference between the larges and smallest elements in the dataset .
The middle of the data between the upper and lower quartiles are called the inter-quartile range. That means that 50 percent of data points between Q1 and Q3 are included within the interquartile range.
Find the simple intrest:
principal: 250$
intrest rate: 3.5
time: 6 months
Answer: I think its 630.
Step-by-step explanation:
You multiply 250 x 0.035 x 6 months. (I do years way better, so I don't know if my answer is right)
What is the decimal equivalent of 5/7?
At the end of a party, there was a 1/2 pizza left over. 7 friends decided to divide the leftover pizza equally. What fraction of the whole pizza did each friend have?
Answer:
Each friend has 1/28 of the whole pizza.
Step-by-step explanation:
1/2 ÷ 7/1 = 1/14
1/14 ÷ 2 = 1/28
The price of a shirt is $42. The sales tax is 6.5%. What is the final cost for the shirt?
$2.73
$44.16
$44.73
$2.16
The approximate areas of South Carolina and Perto Rico are listed below: South Carolina: 8.29 * 10 ^ 4 kilometers Puerto Rico: 5.33 * 10 ^ 3 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.
Answer:
h if Shamus for steak FFS ah MI dj
Step-by-step explanation:
bight you gddjf SD NJ Gzgz SC jdd
Answer: 1.567x10^5
Step-by-step explanation: 2.2x10^5-5.33x10^3
220,000-5,330
214,670
2.1467x10^5
when a number is divided by 15, the quotient is 18 and the remainder is 5. what is the number?
Answer:
The answer is 256
Step-by-step explanation:
You just have to get the divisor
(
40
)
and multiply by the quotient
(
6
)
, then add the remainder
(
16
)
.
So we have:
(
40.6
)
+
16
=
256
The number is 276.
Parts of a Division Problem -There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.Let us assume that the number is N.
So according to the question we can say that
N= 15(18) +1
because dividend= divisor x (quotient) + remainder and quotient is odd.
So now, N (on expanding) =15 × 18 + 5
= 275
So if N is divided by 15 the remainder would be 275+1=276.
Learn more about Parts of a Division Problem brainly.com/question/15305334 here.
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A ball inside of a cube has a volume of 524 cubic inches. If each side of the cube measures 12.75 inches. what is the volume of air inside the cube? (Round to the nearest tenth.)
1) 1548.7 cubic inches
2) 2072.7 cubic inches
3) 2596.7 cubic inches
4) 1048.0 cubic inches
Answer:
1548.7 in³
Step-by-step explanation:
Given that :
Volume of ball = 524 in³
Volume of a cube = s³
Where, s = 12.75 inches
Volume of cube = 12.75 * 12.75 * 12.75 = 2072.671875 in³
The volume of air inside the cube :
(volume of cube - volume of ball)
(2072.671875 - 524) in³
= 1548.671875 in³
= 1548.7 in³ (nearest tenth)