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Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

Let :

Pounds of Mulch sold :

Pounds of gravel sold :

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

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Refer to the attachment

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

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Answer:

A

Step-by-step explanation:

I I think that's the answer

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

Answer:

1280 is the answer. hope it helps you

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

Anything below 1 is a reduce

Anything above 1 is an enlarge

Anything equal to 1 is a preserve

1. Reduce, 0.75 < 1

2. Reduce,  4/5 < 1

3. Enlarge,  4.2 > 1

4. Preserve, 8/8 = 1

5. Enlarge, 7/2 > 1

6. Preserve, 1 = 1

7. Reduce, 0.1 < 1

8. Enlarge, 1 2/3 > 1

9. Enlarge, 12 > 1

-Chetan K

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

Answer:

  change = 100y -np

Step-by-step explanation:

The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.

The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.

Her change will be the difference between what she offered in payment and what she owes.

  change = 100y -np

Answer:

john cena

Step-by-step explanation:

i have no idea lol

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

Answer:

the first step would be to combine the x's

Step-by-step explanation:

1.) combine x (12=7+2x)

2.) subtract 7 from both sides of the equation (5=2x)

3.) divide by 2 to allow x to be by its self (5/2=x)

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

Answer:

x is 154 degrees

Step-by-step explanation:

If a line cuts through a set of parallel lines, it is called a transversal.

x and the angle next to 26 degree angle would be corresponding angles.

If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees

x+26 = 180

x = 180-26

x = 154

Answer:

∠ 1 = ∠ 3 = 52°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 128° = 180° ( subtract 128° from both sides )

∠ 3 = 52°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 52°

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Step-by-step explanation:

marked price = 100%

1% = 100%/100 = marked price / 100

discount = marked price - selling price

discount % = discount / 1% =

= (marked price - selling price) / (marked price)/100 =

= 100×(marked price - selling price) / (marked price)

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

2. (Solving)

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

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Answer:

7.9

Step-by-step explanation:

Volume = side · side · side

∛496 = 7.915783219

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]