Given:
The equation is:
[tex]3x-2y=18[/tex]
To find:
The slope intercept form of the given equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]3x-2y=18[/tex]
It is not in the slope intercept form.
We need to isolate variable y to get the slope intercept form.
The given equation can be rewritten as:
[tex]-2y=-3x+18[/tex]
[tex]y=\dfrac{-3x+18}{-2}[/tex]
[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]
[tex]y=\dfrac{3}{2}x-9[/tex]
Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].
HELP ME PLEASE I'll give brainless.
∠IJG = ∠FGE (they are corresponding angle)
So, ∠FGE = 50°
Answer:
∠FGE is also 50°
Step-by-step explanation:
they are corresponding angles.
Solve the equation. What is the value of x? x minus 6.8 = 356.3 x =
Answer:
363.1
Step-by-step explanation:
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
Which is the approximate value of x? 4 9 17 20
Answer: it’s d. 20 .
What is the percentage change from 5 to 8?
Answer:
60%
Step-by-step explanation:
8-5=3
3/5=0.6 and 0.6 = 60%
so 3 is 60% or 5
so 5+3 is a 60% increase
PLS HELP IT’S PAST DUE!
Answer:
i believe 95 ft ² but I'm not sure sorry
Answer:
95
Step-by-step explanation:
this seems to be a triangular prism. Hopefull this works?
6*1/3 (5+5+5)=95
Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 12-cup servings of punch can they make?
Answer:
8
Step-by-step explanation:
Actually since there is only 4 cups of grape juice and 7 cups of lemonade you could only make 4 cups of punch. So your answer would be 8 because 4x2=8
Lisa is baking 3 cakes. Each cake needs 2-thirds cup of water. What is the total amount of water she needs?Answer options with 4 options.2 cups.3 and 2-thirds cupsC.4 and 1-half cupsD.6 cups
Answer:
6/3
Step-by-step explanation:
Lisa is baking 3 cakes
Each cake required 2/3 water
Therefore the total needed to finish the cake can be calculated as follows
=>2/3 ×2
= 6/3
Hence 6/3 cup of water needed for the cake
What number goes in the blank to make this number sentence true?
12x2= (?x2) + (2x2)
10
12
20
24
Answer:
10
Step-by-step explanation:
12 x 2 = 24
2 x 2 = 4
10 x 2 = 20
20 + 4 = 24
I hope this helps!
3) What is 3x +15y=-16 in slope intercept form?
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
what is the value of 5 in 13,542 plz help
Answer:
500
Step-by-step explanation:
it is in the hundreths place
Answer:
Step-by-step explanation:
500 because it's in the hundredths place
5a-7=2a can someone also explain
Answer:7/3 or 2.333 for short.
Step 1 add both sides with seven, Step 2 simplify by adding the numbers,
step 3 Subtract 2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.
Find the lateral and surface area of a cone with an altitude of 5 and a slant height of 91/2 feet
Answer:
sry i cant i to dubm need points tho
Step-by-step explanation:
A board is 22.5 inches long. How long is the board in centimeters?
Answer:
57.15 cm
Step-by-step explanation:
FORMULA
multiply the value by 2.54
Hope this helps! have a great day :)
Answer:
57.15 cm
Step-by-step explanation:
Use the appropriate conversion factor:
22.5 in 2.54 cm
----------- * -------------- = 57.15 cm
1 1 in
Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³
Which letter corresponds to -3
A
B
C
D
D. 3
The absolute value is always even.
Geometry help please. Thank you!
Please help!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
The best answer is A.
Step-by-step explanation:
Apr 17, 1:42:09 AM
Solve the system of equations x +y = 4 and 3x + 7y = 32 by combining the
equations.
Answer:
(-1, 5)
Step-by-step explanation:
3 [x + y = 4]
3x + 3y = 12
- 3x + 7y = 32
-4y = -20
y = 5
x + 5 = 4
x = -1
Box A has a surface area of 98 in 2. If box B is 4 times the size of box A, what is the surface area of box B?
Given:
Box A has a surface area of 98 in².
Box B is 4 times the size of box A.
To find:
The surface area of box B.
Solution:
Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.
We know that the areas of similar figures are proportional to the square of their corresponding sides.
[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]
Using cross multiplication, we get
[tex]98\times 16=1\times A_B[/tex]
[tex]1568=A_B[/tex]
Therefore, the surface area of box B is 1568 in².
Need help quick! The problem should be attached as a picture!
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
I Need Help Only #8
Answer:
15
Step-by-step explanation:
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each.
A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed. Balan, who lives on this planet, does a survey and finds that her colony of 852 contains 170 green, one-headed Jolos; 284 purple, two-headed Jolos; and 430 one-headed Jolos. One-headed Two-headed Total Green 170 Purple 284 Total 430 852 How many green Jolos are there in Balan's colony? O A. 138 B. 308 O C. 422 D. 260
Answer:
B. 308Step-by-step explanation:
Table is given belowFind the missing values.The one we are looking for is total of green = y.| 1 -H | 2-H | Total
Green | 170 | x | y
Purple | z | 284 | w
Total | 430 | v | 852
z = 430 - 170 = 260w = 260 + 284 = 544y = 852 - 544 = 308v = 852 - 430 = 422Correct choice is B
Simplify the expression to a + bi form:
(-8 – 9i)2
Answer:
-17+144i
Step-by-step explanation:
Consider the equation r + 2 = 3x – 4.
a. Solve the equation using algebra.
X=
Answer:
r/6 +2 = X
Step-by-step explanation:
We want to isolate X by itself to find its value. First transpose your -4 to the other side (note that -4 will become positive)
r + 2 +4 = 3x
r + 6 = 3x
To find the X, we get rid of the 3, so divide both sides by 3
r/3 + 6/3 = x
r/3 + 2 = x
OR
(r+6)/3 = x
Both works : )
Answer:
Step-by-step explanation:
We want to solve r + 2 = 3x – 4 for x.
This means isolating x on one side. To do this, first add 4 to both sides, obtaining r + 2 + 4 =3x, or:
r + 6 = 3x
Finally, divide both sides by 3:
r + 6
x = -------------
3
Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.
Answer:
25 adult tickets were sold and 100 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be x and the number of student tickets sold be y.
We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.
10x + 6y = 850 - Equation 1
x + y = 125 - Equation 2
Then, use the substitution method to solve for either x or y first, followed by the other.
From equation two:
x + y = 125
x = 125 - y - Equation 3
Sub eqn 3 into eqn 1:
10(125-y) + 6y = 850
1250 - 10y + 6y = 850
1250 - 4y = 850
-4y = - 400
y - 100
Sub y = 100 into eqn 2:
x + 100 = 125
x = 25
Check:
10(25) + 6(100) = 850
Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?
Answer:
$10 and $130
Step-by-step explanation:
If he spent 10 of his pocket money, then he spent 10
Because he spent 10, that means that he had 120 + 10 = 130 at the start
Decrease £16855.21 by 13.5%
Answer:
£14579.76
Step-by-step explanation:
First do 16855.21 * .135 = 2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76
The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1
Answer:
The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.
Step-by-step explanation:
Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.