What is the equation of the line that passes through the point (-3,0) and has a
slope of -1/3

Answer:

y =4x-6

Step-by-step explanation:

first we have to find the gradient,m

m= y2-y1/x2-x1

= 6-2/3-2

= 4/1

=4

equation : y=mx+c , m=4 , (2,2) [you have only take one point either (2,2) or (3,6) is up to you ;) ]

so , sub the point and gradient into y=mx+c:

2=4(2)+c

2=8+c

2-8=c

-6=c

c=-6

In the end , y =4x-6

hope this help you!! ;)))

See attachment for math work and answer.

Answer:

the first one is .... X = - 25/2

the second one is .... X= -3

Step-by-step explanation:

have a nice day!!!

Answer:

the second one is .... X= -3

But the other guy was wrong, the first one is -25/2 not -25/5

Step-by-step explanation:

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)

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Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

I think the answer is D

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

Answer:

130°

Step-by-step explanation:

a straight line is 180°

so you have

180°-50°= 130°

Answer:

Option (A)

Step-by-step explanation:

Windmill is in the shape of a circle and each blade of the windmill is equally spaced.

There are 8 spaces in the windmill shown.

Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]

Where n = number of blades

Angles between each blade = [tex]\frac{360}{8}[/tex]

                                               = 45°

To reach the position of blade U by blade P will cover 5 angles between the blades.

Therefore, angle of rotation covered by P to reach U = 5×45° = 225°

Option (A) will be the correct option.

Answer: 25%

Step-by-step explanation: The total number of city council is 80 and 20/80 is 1/4

Answer:

v=-2

Step-by-step explanation:

if v = -2, 8 x -2= -16

Answer:

(x,y)→(x+7,y)

Step-by-step explanation:

Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.

Im reallyyyy bad at explanations but hope this helped:)

Answer:

−5x−2

Step-by-step explanation:

Answer:

Free throw: 139

2 pointers: 173

3 pts: 123

Step-by-step explanation:

Set x equal to the number of 3pts scored.

Then get 2x-73 from the given number of 2pts relative to 3pts.

Then get 2x-107 from the given number of free throws.

Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:

3x+2(2x-73)+1(2x-107)=854

where 3x is pts from 3pts

2(2x-73) is pts from 2pts

1(2x-107) is pts from free throws.

Simplify to get:

9x-253=854

Solve:

9x=1107

x=123.

Then plug in the number of 3pts scored into the other numbers.

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

[tex]L=2\pi r[/tex]

If we already know the length of the circle, we can solve the above expression for r:

[tex]\displaystyle r=\frac{L}{2\pi}[/tex]

The distance given around a circular running track is L=200 m, thus:

[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer:

1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5)  or 1/15 cup to make a single dinner roll

Step-by-step explanation:

Answer:

-5x⁹ y⁵

Step-by-step explanation:

x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵

Answer:  x5y2(5x4y3) =5x9y5

Step-by-step explanation:

Answer:

             [tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]

Step-by-step explanation:

[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

Answer: I am also not knowing this answer I am confused about the question.

Step-by-step explanation:

Answer:

your question is confusing

Step-by-step explanation:

im sorry

Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the whole trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

Answer:

[tex]5+2*(7-4) =11[/tex]

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

Answer:

for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut

Answer:

3

Step-by-step explanation:

9(1) - 6 is equal to 3

9 * 1 is 9, then you subtract 6, then you get 3

Answer:f(x)=3

Step-by-step explanation: Firstly, multiply 9 per 1 because "x" is equal to one and after diminish per 6 and so have the result 3.

Answer:

I'm pretty sure it's 2

Step-by-step explanation:

x^2=9

Step 1: Take the square root.

x=±√9

x=3 or x=−3

Answer:

4x+10

Step-by-step explanation:

Answer: Reflect across the Y and and move it 7 down

Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)