Answer: 3x-2y=24 in slope intercept form is [tex]y=\frac{2}{3}x -12[/tex]
The graph of the equation is in the attachment
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.
You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.
3x - 2y = 24 Standard form. Subtract 3x from both sides.
-2y = -3x + 24 divide both sides by -2
-2y/-2 = -3x/-2 + 24/-2 . Simplify.
y = 3x/2 - 12 .
To clarify the slope as a fraction
[tex]y=\frac{2}{3}x -12[/tex]
y=6x+1
y=1/6x+1
y=1/6x-5
y=6x-5
which one
Answer:
y=6x+1
Step-by-step explanation:
count from your first point (0,-5) then count up to positive 1 on the y-axis, then go over 1 and you are at your other point. when you count up that is your slope. when you count over that is your b
Which of the following are the coordinates of a rectangle with a length of 4 units and a width of 3 units in the coordinate plane?
A- (−2, 1), (−2, −2), (2, 1), (2, −2)
B- (4, 3), (0, 3), (4, 7), (0, 7)
C- (1, −4), (−1, −4), (1, 0), (−1, 0)
D- (5, 6), (−3, 6), (5, 1), (−3, 1)
Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?
Answer:
17/24
Step-by-step explanation:
1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.
What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.
For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.3. Now that the denominators are the same, add the numerators and keep the denominator for now.
8/24 + 9/24 = 17/244. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.
Pls help me ill give brainliest.
Pls do all 3 to get brainliest
Answer:
5. 8(a-5)= -40
8a-40= -40
8a= -40+40
8a=0
a=0/8
a=0
option c is correct.
6. for d,
-1<d<1
I think the answer is option d , which is missing in the attachment.
the 4 question is missing.
so I am not able to answer that
Mark has 380 coins Casey has 2x more than Albert Lilly has 5 coins more than Casey Logan has 3x more than Casey and Albert How many coins does Logan have
Answer:
141 coins
Step-by-step explanation:
Given that Mark has a total of 380 coins(assumed to be shared amongst Albert,Casey, Lily and Logan)
Albert= x
Casey= 2x
Lily= 2x+5
Logan=3x
There's a total of 380 coins
x+2x+2x+5+3x= 380
8x+5=380
8x=380-5
x=375/8
x= 46.9
Therefore Logan's coins = 3x= 3×46.9= 140.61 coins
Approximately Logan's coins =141 coins
ASAP!!! Will give brainliest!!! Solve for X
Answer:
h=√p^2+b^2
13 = √x^2+(x+7)^2 now you can solve
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + (x + 7)² = 13² ← expand and simplify left side
x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )
2x² + 14x - 120 = 0 ( divide through by 2 )
x² + 7x - 60 = 0 ← in standard form
(x + 12)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 5 = 0 ⇒ x = 5
But x > 0 , thus x = 5
Write the equation of the line that connects the set of data points!helppp
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
please help me with this
Answer:
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
Step-by-step explanation:
Given that:
Line passes through the point = (-1, -4)
Slope of the line = -3
Point slope form of a line is given by;
[tex]y-y_1=m(x-x_1)[/tex]
Here,
x1 = -1 , y1 = -4 and m = -3
Putting the values in the point-slope form of the equation,
y-(-4) = -3(x-(-1))
y+4= -3(x+1)
Hence,
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
I was wondering if anyone had the answer key to the Gina Wilson, Unit 7: Polygon and Quadrilaterals Unit Test, it is one of our assignments instead of some big final.
Answer:
um sorry i wish i could help but mabye post a specfic
question Step-by-step explanation:
An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
41.3° and 48.7°
Step-by-step explanation:
Complementary angles are angles with the sum of 90°
if one of the angle is 7.4° less than other
(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and
41.3 + 7.4 = 48.7° is the measure of bigger angle
There are 30 students in the class and 270 apples. if the apples are divided equally among the students, how many does each student get?
Answer:
9
Step-by-step explanation:
270/30=9
$50.25 with buy one get one 50% off (SHOW WORK)
Answer:
i dont know if this is to answer buying 2
$75.74 for 2
Step-by-step explanation:
50.25*1.5=75.735
Answer:
25%
Step-by-step explanation:
because whats 50%-50%=0% so there's 25% left.
1 pts
Identify the ordered pair (point) and the slope for the point-slope form Y-3 = 7(2 – 4).
[Type in integers only.]
Point:(
I
Slope:
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A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$
Answer:
x = 15 ounces
Step-by-step explanation:
A mixture is made with two types of solutions.
Solution A - 45 ounces of 10% saline solution
Solution B - x ounces of 70% saline solution
Resulting mixture - (x + 45) ounces of 25% saline solution
To get the value of x, equation will be,
(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25
4.5 + 0.70x = 0.25x + 11.25
0.25x - 0.70x = 4.5 - 11.25
-0.45x = -6.75
x = [tex]\frac{6.75}{0.45}[/tex]
x = 15 ounces
Which of the following is a perfect square ?
A. - 4
B. 1 over 4 over 19 (1/4/19)
C. 0.9
D. 100
the exchange rate in london is £1 = 1.14 euros
the exchange rate in paris is 1 euro = £0.86
haley wants to change some pounds into euros
in which of those cities would haley get the most euros?
thanks for your time, it is much appreciated <33
Answer:
London
Step-by-step explanation:
Euro= 1.14 x 5
5.70
The product of 15 and a number x is −75.
Answer:
the solution is in the figure
the number is -5
sorry for asking all these questions, this is just really confusing
Answer:
-31
Step-by-step explanation:
hope this helped! <3
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
In a class of 29 students, 20 play an instrument and 18 play a sport.
There are 11 students who play an instrument and also play a sport.
What is the probability that a student chosen randomly from the class
plays a sport and an instrument?
Can someone please help me
Answer:11/29
Step-by-step explanation:
The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.
What is the area of this ILL GIVE BRAINLIEST!!!!!!!
Answer:
Area = 56mm²
Step-by-step explanation:
Area of a trapezium/trapezoid
[tex] = \frac{1}{2} \times h \times (a + b)[/tex]
[tex] = \frac{1}{ 2} \times 7 \times (4 + 12)[/tex]
[tex] = \frac{7}{2} \times16[/tex]
[tex] = 7 \times 8[/tex]
[tex] = 56[/tex]
Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? Group of answer choices
Answer:
7,560 words were typed in 3 hours.
Hello! Can someone please help me with these 2 questions! thank you so much! (i’ll give brainlist)
Answer:
1) 4 2)1/5 X=10
Step-by-step explanation:
Small to large is a fraction
Large to small is a whole number
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.
4x+4y=4
3x+4y=10
Solve for elimination
Answer:
The solution is x=-6 and y=7
Step-by-step explanation:
Given equations are:
[tex]4x+4y =4\\3x+4y = 10[/tex]
In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations
In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations
Subtracting equation 2 from equation 1
[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]
Putting x = -6 in equation 1
[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]
Hence
The solution is x=-6 and y=7
If x and (x+50°) are complementary angles. find the angles
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So
x + x + 50° = 90°
2x = 90° - 50°
2x = 40°
x = 40°/2
x = 20°
x + 50 = 20 + 50 = 70°
Hope it helps :)
Answer:
let 1st angle be x
and another angle be x+50°
two angles are said to be complementary,if the some of their measures is 90°
so,
x+x+50=90
2x+50 =90
2x=90-50
x=40/2
:-x= 20 ....... 1st angle
another angle (x+50)=20+50=70°
Solve. Show your work in the sketchpad. Don't forget your dollar sign and to round to the nearest hundredth. You have to do this, it's money. For every hour that John works he earns $8.55. If John works 13.5 hours, how much money did he make?
Answer:
$115.43
Step-by-step explanation:
From the above question:
1 hour of work = $8.55
13.5 hours of work = x
Cross Multiply
x = 13.5 × $8.55
x = $115.425
Approximately to the nearest hundredth = $115.43
If John works 13.5 hours, the amount of money he makes = $115.43
Asia can rake her yard's leaves in 2 hours. It takes Isaac 6 hours to rake the yard's
leaves by himself. How long would it take if Asia and isoac work together?
Is will be 1 hour and 30 minutes
Answer:
I think i would be 2hours and 30 mins. Srry if it's wrong
Step-by-step explanation:
NOW! Which division problem does the diagram below best illustrate?
0000
OC
30-5-6
35-7-5
021-7-3
40-5-8
Find the base angles of the figure below.
A.) 72°
B.) 108°
C.) 36°
D.) 54°
Answer:
36
Step-by-step explanation:
The angles of a triangle have a sum of 180 degrees. This is an isosceles triangle indicated by the red markers on sides ED and EF. This means that the sides and angles are congruent.
Subtract 108 from 180 and divide that by 2.
180-108 = 72
72/2 = 36