Twelve less than the product of a number and 6 is 60.

Which equation models the sentence?


12−n⋅6=60

n⋅6−12=60

n÷6−12=60

n÷6+12=60

                                                Question 1)

Answer:

The slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

Step-by-step Explanation

Given the points

Finding the slope between (-5, -20) and (9, 9)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-20\right),\:\left(x_2,\:y_2\right)=\left(9,\:9\right)[/tex]

[tex]m=\frac{9-\left(-20\right)}{9-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{29}{14}[/tex]

Therefore, the slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

                                        Question 2

Answer:

the slope between (18, -5) and (18, 20) is undefined.

Step-by-step Explanation

Given the points

As the x-values of the points are the same. It indicates that the given line is vertical.

Finding the slope between (18, -5) and (18, 20)

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - (-5)] / [18 - 18]

               = [20+5] / [0]  

               = 25/0

               = ∞ or undefined

Thus, the slope between (18, -5) and (18, 20) is undefined. It indicates that the line is vertical.

Hence, the slope between (18, -5) and (18, 20) is undefined.

Answer:

[tex]x=9, AB=BC=AC=35[/tex]

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that [tex]AB=BC=AC[/tex]. We are given the lengths of all 3 sides in terms of [tex]x[/tex], but we only need to set two of them equal to each other to solve for [tex]x[/tex]. Let's use [tex]AB[/tex] and [tex]BC[/tex] to solve for [tex]x[/tex]. We know that [tex]AB=BC[/tex], [tex]AB=2x+17[/tex], and [tex]BC=6x-19[/tex]. Therefore, we can write the following equation to solve for

[tex]AB=BC\\2x+17=6x-19[/tex] (Substitute given values into equation)

Solving for [tex]x[/tex], we get:

[tex]2x+17=6x-19\\2x+17-17=6x-19-17[/tex] (Subtract [tex]17[/tex] from both sides of the equation to isolate constants)

[tex]2x=6x-36[/tex] (Simplify)

[tex]2x-6x=6x-36-6x[/tex] (Subtract [tex]6x[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-4x=-36[/tex] (Simplify)

[tex]\frac{-4x}{-4}=\frac{-36}{-4}[/tex] (Divide both sides of the equation by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=9[/tex] (Simplify)

Therefore, [tex]AB=2x+17=2*9+17=18+17=35[/tex], and [tex]AB=BC=AC=35[/tex]. Hope this helps!  

Answer:

15,600 is how much he will make in a year.

Step-by-step explanation:

There are approximately 52 weeks in a year therefore, 300*52= 15,600

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

One foot would have 3 1/3 pieces (because 3 * 1/3 = 1) so that means 5 would have 15 pieces (because 3 * 5 = 15)

Answer:

red

Step-by-step explanation:

Answer:

y=12.4

Step-by-step explanation:

22/5 is 4.4

so the numbers in the bracket must equal to 4.4

so y is 12.4

Answer:

62/5 or 12 2/5

Step-by-step explanation:

22 = 5(y-8)

22 = 5y - 40

5y−40=22

Add 40 to both sides

5y−40+40=22+40

5y = 22+40

5y=62

Isolate the variable.

5y/5 = 62/5

Answer:

f(-3)= -18

Step-by-step explanation:

f(-3) basically means x=-3 so just substitute with that

f(-3)= 2(-3)³+4x²

= -54+36 = -18

Answer:

the answer is B

Step-by-step explanation:

you multiply 4 by -5z and 2 and get -20z+8 then you subtract the -6 from 8 and get 2 so -20z+2 a is -20z-2 so its not equivalent but b equals -20z+2 so it's B

Answer:

(x,y)=(-1,-1)

Step-by-step explanation:

hope this helps!

Answer:

x=-2 and y=-3

Step-by-step explanation:

2x+4y=-16

-2(-2x+2y=-2)

2x+4y=-16

4x-4y=4

6x=-12

x=-2

2x+4y=-16

2(-2)+4y=-16

-4+4y=-16

+4        +4

4y=-12

y=-3

Answer:

x=-2

y=-3

Step-by-step explanation:

2x=-4y-16 subtract 4y and move to the other side of the equation

x=-2y-8 divide by 2 to isolate x

-2(-2y-8)+2y=-2 plug x into the second equation

4y+16+2y=-2 distribute

6y=-18 combine the Y's and subtract 16 to the other side

y=-3 divide both sides by 6

2x+4(-3)=-16 plug the y value into the first equation to find x

2x-12=-16 distribute (multiply)

2x=-4 add 12 to both sides

x=-2 divide by 2 to get the x value

Answer:

The answer is 33.

Step-by-step explanation:

4x^2 + 13 - 2y, x=3 y=8

In order to evaluate this, you just need to plug the x and y in the expression:

= 4(3)^2 + 13 - 2(8)

= 4(9) + 13 - 16

= 36 + 13 - 16

= 33

Answer:

lawns inc.

Step-by-step explanation:

y=10x+15 10(6) + 15 = 75

y=9x+20 9(6) + 20 = 76

One gallon is equivalent to 128 fluid ounces

3 gallons is equivalent to 3*128 fluid ounces

= 384 fluid ounces

One plastic cup can hold 12 guide ounces

So cups needed will be 384/12

32 cups

Mr. Cruz can completely fill 32 plastic cups with the water from the cooler.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The 3-gallon water cooler contains 3 x 128 = 384 fluid ounces of water.

We can divide the total amount of water in the cooler by the amount of water each plastic cup can hold to find out how many cups can be completely filled:

384 fluid ounces / 12 fluid ounces/cup = 32 cups

Therefore, he can completely fill 32 plastic cups with the water from the cooler.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

d.11-x<-18

put the value of x in inequality and identify.

Answer:

272

Step-by-step explanation:

calculator

Answer:

-8r+2

Step-by-step explanation:

-3r + 4 - 5r - 2

Combine like terms

-8r+2

Answer:

negative 0.86

Step-by-step explanation:

Answer:

10

Step-by-step explanation: 17+10=27, 17-10=7

Let N be the number of stickers Carl have and K be the number of stickers he bought at Saturday.

[tex]N = K-9 +3[/tex]

[tex]N = K-6[/tex]

Answer:

x=27

Step-by-step explanation:

Step 1: Multiply both sides by 5.

4(x−2)

5=20

(4(x−2)*(5)*(5)=(20)*(5)

4(x−2)=100

Step 2: Simplify both sides of the equation.

4x−8=100

Step 3: Add 8 to both sides.

4x−8+8=100+8

4x=108

Step 4: Divide both sides by 4.

4x/4=108/4

x=27

Step-by-step explanation:

(x-2)/5 = 5

(x-2) = 25

x = 27

Answer:

A

Step-by-step explanation:

Answer:

1970

Step-by-step explanation:

Answer:

96 cm²

Step-by-step explanation:

Area of a parallelogram A = bh where b = base = 12 cm and h = height = 8 cm.

So, A = 12 cm × 8 cm

A = 96 cm²

So, the area of the parallelogram with base 12 cm and height 8 cm is 96 cm².

Answer:

lol

Step-by-step explanation:

Yeah i have no clue but good luck

[tex]-3-4x\leq 21 \\~\\-3-4x+3\leq 21+3 \\~\\-4x \leq 24[/tex]

When you multiply both sides by a negative number, you have to flip the inequality.

[tex]-4x\cdot \left(-\dfrac{1}{4}\right) \geq24\cdot \left(-\dfrac{1}{4}\right) \\~\\x \geq-6[/tex]

You could also solve by doing this:

[tex]-4x \leq 24 \\~\\-4x +(4x-24) \leq 24 +(4x-24) \\~\\-24 \leq 4x \\~\\-6\leq x[/tex]

If -6 is less than or equal to x, then x is greather than or equal to  -6.

Answer: y - 6 = -5/3 ( x + 2)

Step-by-step explanation:

slope = -5/3

point on line = (-2, 6)

Answer:

49

Step-by-step explanation:

167 = 21 + (3x - 1)

167 = 20 + 3x

3x = 147

x = 49

Answer is 49

Step-by-step explanation:

167=(3x-1)+21(Exterior angle is equal to two opposite interior angle)

or,167=3x-1+21

or,167=3x+20

or,167-20=3x

or,147=3x

or,x=147/3

or,x=49

Answer:

The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.