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Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.

Step-by-step explanation:

Given: Quantities of dry ingredients for cake:

2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.

Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]

[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]

Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.

Answer: 12

Step-by-step explanation: 4x3= 12 hope it helps! :)

Answer:

9.62162162162

Step-by-step explanation:

Use a calculator dude

Answer:

7 3

Step-by-step explanation:

60x + 42y

60x +42y

60x +42y

The distributive property of 6(10x + 7y) is 60x + 42y

Distributive property tells us the order of operations to be followed by us while doing mathematical operations. the order of operations laid by distributive property is given below in chronological order:

1. Solve the brackets.

2.Orders(Exponents and square roots)

3. Division

4. Multiplication.

5.Addition

6. Subtraction

Now using Distributive property on 6(10x+7y)

1. Solve the brackets:

We can't do anything with the part inside the bracket as it contains all unknown values.

Hence, it will be as it is.

6 × 10x + 6 × 7y

2. Orders:

Whenever the index of any term is not shown, it is 1.

If any number is not multiplied by itself, it can be raised to 1.

3. Division:

The given polynomial doesn't have division with a non one number.

4. Multiplication:

6 × 10x + 7 × 7y

60x+42y

5. Addition:

Indefinite values can't be added

60x+42y

6. Subtraction:

No sign of subtraction is seen

Hence ,the distributive property of 6(10x + 7y) is 60x + 42y

To learn more about distributive property from here

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Answer: 82

Step-by-step explanation:

You add them all

Answer: The answer is C and D

Step-by-step explanation:

???

soooo..........whats ur question

Answer:

yes pls my life is boring

Step-by-step explanation:

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

Answer:

probably A

Step-by-step explanation:

Answer:

x=-20

Step-by-step explanation:

x+8−8=−12−8

x=−20

Answer:

The answer is -20

Step-by-step explanation:

X+8=-12

 You subtract 8 from the left the the right side of the equal sign.

This leaves: X=-20

The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.

12+8 equals 20

But because it's negive you have to add them together.

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

Learn more about Slope here:

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Answer: 1: Given

2: Distribution

3: Subtraction

4: subtraction

5:division

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

Answer:

0+10

Step-by-step explanation:

yes

9514 1404 393

Answer:

Step-by-step explanation:

The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...

  Ra . . . where a = m

  Rb . . . where b = n

Answer:

hope this pic helps enjoy

Answer: 1,285, 1,282, 1,278

Step-by-step explanation:

Answer:

1,285, 1,282, 1,278

Step-by-step explanation:

This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.

Answer:

The cannonball lands at approximately 5.093 unit distance from the point of fire

Step-by-step explanation:

The given parameters are;

The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1

The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x

The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;

At the point of contact of the cannonball and the field, the y-values of both equation will be equal

y₁ = y₂

∴ -0.5·x² + 2.5·x + 1 = 0.15·x

Which gives;

-0.5·x² + 2.5·x - 0.15·x + 1 = 0

-0.5·x² + 2.35·x + 1 = 0

-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0

0.5·x² - 2.35·x - 1 = 0

The above equation is in the general form of a quadratic equation, which is given as follows;

a·x² + b·x + c = 0

By the quadratic equation, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Plugging in the values, gives;

[tex]x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}[/tex]

∴ x ≈ 5.093 or x ≈ -0.393

Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093

The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;

[tex]y_{(initial)}[/tex] = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597

[tex]y_{(initial)}[/tex] ≈ -0.0597.

However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.

Answer: the first one

Step-by-step explanation:

Answer:

What is the benefit of using a shortcut in a reaction between two chemicals?

A shortcut would ensure a safer reaction.

Step-by-step explanation:

Answer:

find actual dimensions from scale models, ... \begin{align*}\frac{2}{3}\end{align*}, 2:3, and "2 to 3" are ratios. ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. ... Color, Highlighted Text, Notes ...

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:

24/27=8/9

Step-by-step explanation:

Answer:

It is ( D )

Step-by-step explanation:

Have a good day

Answer:

25t+95 or 5(5t + 19)

Step-by-step explanation:

The total of the sound fee = $25

The total of the rental fee = $95

Write is as an equation and you can get 25t + 95 or 5(5t + 19)

Answer: what ever is -10 1/2

Step-by-step explanation:

Because its the lowest negative there and yea!

Answer:

-4 1/2 because that's the lowest number

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)