Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality

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Explanation:

C = circumference

C = pi*d

C = 3.14*19

C = 59.66

The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.

Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x

59.66x = 6000

x = 6000/59.66

x = 100.569896077774

x = 101

After 101 revolutions, Jason has traveled about 500 ft.

Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.

And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

Answer:

R (3,-2) S(5,2) T(6,0)

Step-by-step explanation:

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8

x=6

y=9

Hope it helps you...

(2x^2)^3

Step 1: Rewrite (to help understand the problem)

(2x^2) * (2x^2) * (2x^2)

Step 2: Distribute (going back to the original problem)

(2^3) * (x^2)^3

Step 3: Simplify

8 * x^6 || Remember that we multiply exponents in this case!

Answer: 8x^6

Hope this helps!! :)

Answer:

The x-intercepts are (0, 0) and (2, 0)

Step-by-step explanation:

The function is y = 16x - 8x^2.

To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:

16x - 8x^2 = 8x(2 - x) = 0.

Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2

The x-intercepts are (0, 0) and (2, 0)

Answer:

Y² = (1-X) / 2

Step-by-step explanation:

According To The Question, We Have

X= Cos2t  &   Y= Sint

the cartesian equation of the curve is given by Y² = (1-X) / 2 .

Proof, Put The Value of X & Y in Cartesian Equation, We get

Sin²t = {1-(1-2×Sin²t)} / 2         [∴ Cos2t = 1 - 2×Sin²t]

Taking R.H.S

Answer:

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:

[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)

[tex]g(x) = -x-12[/tex] (2)

[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)

[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]

[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]

[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]

[tex]f\,\circ\,g(-8) = 16[/tex]

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Answer:

A

Step-by-step explanation:

13.7

Answer:

[tex]m(x) = - 3x - 3[/tex]

Step-by-step explanation:

[tex]m(x) = f(x) - g(x)[/tex]

[tex]m(x) = (2x+1)−(5x+4)[/tex]

[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−4[/tex]

[tex]m(x) = −3x+1−4[/tex]

[tex]m(x) = −3x−3[/tex]

Answer:

Top box: Endpoint

Bottom box: Ray

Step-by-step explanation:

Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.

The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.

~

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

Answer:  approximately 11 degrees

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Explanation:

If the radius is r = 14, then the area of the full circle is

A = pi*r^2

A = 3.14*14^2

A = 615.44

The area of the full circle is roughly 615.44 cm^2

However, the pizza slice area is only 18.48 cm^2

Divide the two values: (18.48)/(615.44) = 0.030027

The pizza slice is roughly 3% of the full circle.

Multiply that decimal result with 360 to get the final answer

0.030027*360 = 10.80972

That rounds to approximately 11 degrees

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Here's another example:

Let's say the full circle area was 100 cm^2 and the pizza slice was 25 cm^2. We can see that 25/100 = 0.25 = 25% of the full area is the pizza slice

25% of 360 = 0.25*360 = 90 degrees would be the central angle, which is basically what we expect when we cut the circle into 4 equal slices.

Answer:

A intersection B = {12,18,24,30}

Step-by-step explanation:

A ={3,6,9,12,15,18,21,24,27,30,33,36,39}

B ={10,12,14,16,18,20,22,24,26,28,30}

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Answer:

I gues s it s yes. if correct brainlest answer pla..

Answer:

No

Step-by-step explanation:

The formula for a triangular prism is

[tex] \frac{1}{2} a \times h[/tex]

where a is the area of the triangle.

The area of a triangle is

[tex] \frac{4 \times 5}{2} = 10[/tex]

so the volume is

[tex]10 \times 12 = 120[/tex]

Answer:

A) 4/7 feet

B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]

Answer:

The 11th check

Step-by-step explanation:

Answer:

if you are looking to solve for x the answer is

[tex] \frac{1}{8}[/tex]

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

[tex]8x = 1[/tex]

therefore

[tex]x = \frac{1}{8}[/tex]

Answer:

Red: 13/41

Yellow: 19/41

Blue: 9/41

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

Answer:

lemon juice : parts sugar

3 :2

? :3

3/2 × 3 = 4,5 cups of lemon

Answer:

4.5

Step-by-step explanation:

the ratio of lemon juice to parts sugar is 3:2.  to convert into cups, it turns into ?:3. to turn 2 into 3, you multiply by 1.5, so you have to do the same to 3, to get 4.5, 3:2 is equal to 4.5:3 so kelly would have to use 4.5 cups of lemon juice.

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

Volum = 30 cm × 20 cm × 40 cm

= 24000 cm³

1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

24000 cm³ = 24 L

Hence, this is the required solution.

Answer:

Step-by-step explanation:

648 I think