Zack has 2 feet of balsa wood. he needs twice that amount to finish a project. the cost is $0.05 per inch. how much will the balsa wood cost zack.

Answer:

Step-by-step explanation:

The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.

  a(b +c) = ab +ac . . . . expression of the distributive property

__

When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.

Below, we have written each expression using two different common factors.

  27x +24x = x(27 +24) = 3x(9 +8)

__

  0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)

_____

Additional comment

Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.

The Euclidean Algorithm can also be useful for finding common factors.

[tex]g(x) =3x^2 -1\\\\g(-3)=3(-3)^2 -1 \\ \\~~~~~~~~~=3(9) -1 \\\\~~~~~~~~~=27-1\\\\~~~~~~~~~=26[/tex]

Answer:

g(26)

Step-by-step explanation:

substitute -3 for x.

g(x)=3[tex]x^{2}[/tex]-1

[tex]g(-3)=3(-3)^{2} -1\\g(-3)= 3(9)-1\\g(-3)= 27-1\\g(-3)=26[/tex]

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

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Answer:

A on EDGE 2022

Step-by-step explanation:

Based on the transformations that occurred, the preimage is most likely the topmost right image.

The transformations list shows that the first transformation was the reflection across the horizontal line drawn.

When a reflection is done, the shape looks like the inverse of itself. The only shape that looks like an inverse and is therefore a reflection is the bottom right shape which means the preimage must be the top right image.

Remaining part of question:

Which is the preimage?

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Answer:

(p + q) + r

is the correct answer

Answer: c or a

Step-by-step explanation:

The average speed, in km/minute, of the train is 2.79 km/minute

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

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Using the given information, the unit rate is 0.0645 miles/minute

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

That is,

Distance = 40/5 miles = 8 miles  

Time = 124 minutes

Using the formula,

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The unit rate is 0.0645 miles/minute

We have calculated the rate

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

Distance = 40/5 miles

Distance = 8 miles  

Time = 124 minutes

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The weather that is most likely to occur where Richard is is rain shower.

Weather is the state of the atmosphere of a particular place over a short period of time. There is low atmospheric pressure, so it is likely that it would rain. This is because when the  atmospheric pressure is low, it is likely that it would rain.

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Answer:

Rain shower is most likely to occur where Richard is. (Option c)

• The air pressure is lower than the normal and that's why it suggests that the rainfall will happen in that place because rainfall generally occurs in the place where the low pressure is formed.

• And,the temperature is above than the freezing point of the water so there are no chances of the snowfall in that place.

• That's why rainfall is the most probable thing that will happen in that place.

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

cos60°=14/x

0.5=14/x

x=14/0.5

x=28

Answer:

A. 28

Step-by-step explanation:

The value of x is equal to 18

Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

This rule is applied to triangles to determine the unknown sides and angles. The value of x from the diagram is 11.78m

This rule is applied to triangles to determine the unknown sides and angles.

Given the following parameter

Opposite = 5m

Adjacent = x

angle = 23 degrees

According to the theorem of tangents

tan23 = opposite/adjacent

tan23 = 5/x
x = 5/tan23

x = 11.78m

Hence the value of x from the diagram is 11.78m

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Answer:

Real and unequal

Answer:

The quadratic has two equal roots like d if it is perfect square and we may write: (x − d) 2 = x 2 − 2 d x + d 2 Then: Δ = 4 d 2 − 4 d 2 = 0 That is the discriminant is zero when the quadratic is perfect square.

Step-by-step explanation:

Answer: once tom eats 6 candys he will have the same number as sue

Step-by-step explanation:

Answer:

After 6 minutes they will both have 0 candies.

Answer:

C. 73

Step-by-step explanation:

angles A and C will be the same because their sides are the same length!

so to solve this, let's set up an equation

now let's solve!

angle A = 73

let me know if you have any questions :)

Answer:

C!

Step-by-step explanation:

Answer:90 degree

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.

The expression which is equivalent to the given expression is     [tex]\frac{27 m^{5}}{n}[/tex]

From the question, we are to determine the expression which is equivalent to the given expression

The given expression is

[tex]\frac{(3m^{2}n)^{3} }{mn^{4} }[/tex]

Clearing the brackets, we get

[tex]\frac{3^{3} m^{2(3)}n^{3} }{mn^{4} }[/tex]

Simplifying, we get

[tex]\frac{27 m^{6}n^{3} }{mn^{4} }[/tex]

Then,

[tex]27 m^{6-1}n^{3-4}[/tex]

[tex]27 m^{5}n^{-1}[/tex]

= [tex]\frac{27 m^{5}}{n}[/tex]

Hence, the expression which is equivalent to the given expression is     [tex]\frac{27 m^{5}}{n}[/tex]

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Answer:

(3x - 5 = -x + 3) x = 2

Step-by-step explanation:

3x - 5 = -x + 3

3x = -x + (3 +5)

3x=-x + 8

(3x + x ) = 8

4x = 8

4/8 =2

x = 2

Answer: 1/10

Step-by-step explanation:

(1 x 4)/(8x5)

4/40

1/10

Answer: y=6/7x-1

Step-by-step explanation:

I am assuming you want a line formula in y=mx+b

slope (y2-y1)/(x2-x1) = -7+13/-7+14 = 6/7

y+7=6/7(x+7)

y+7 = 6/7x+6

y=6/7x-1

Answer:

What's the question you f... you amazing human being

Answer: 1

Step-by-step explanation:

Answer:

In the end, the answer is: 30,000

Step-by-step explanation:

Answer:

  (c)  Triangle Z Y X is similar to triangle C B A

Step-by-step explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

__

The side lengths, smallest to largest, for the two triangles are ...

And for the other triangle, ...

The points joining the each side to the next one longer, in order for the two triangles, are ...

  Y, X, Z  and  B, A, C

The vertices corresponding to ZYX in the same order are CBA.

  triangle ZYX is similar to triangle CBA

Answer:

The answer is C

Step-by-step explanation:

Answer:

3a

Step-by-step explanation:

Answer: 2(2x-1)

Range terms

Distribute

Subtract the numbers

Step-by-step explanation:

separate the question into two inequalities then solve individually to derive at an answer then merge the two answers as one.

remember that < or > are open sets while <= or >= are closed set.

Answer:

Hello! Your answer is 1/2

Step-by-step explanation:

there are six cubes and three of them are shaded. That is half of the parallelograms.

So 1/4 wouldn't make sense because there are three shaded out of six.

1/6 doesn't make sense because since there is six in total for it to be 1/6 there needs to be 1 shaded out of six.

And finally 1/3 doesn't make sense because 1/3 would have to be two out of six shaded.

Have a wonderful day/night/afternoon and good luck my friend!

Answer:

-21.4

Step-by-step explanation:

0.15x + 0.2(0.15-5-x) = 0.1

0.15x + 0.03 - 1 - 0.2x = 0.1

0.15x - 0.2x = 0.1 -0.03 + 1

-0.05x = 1.07

0.05x = -1.07

x = -21.4

Answer:

Option D --->  y=5x

Step-by-step explanation:

When a line is directly proportional it means it crosses the origin so has a y- and x-intercept of 0.

So if we use the format y=mx+c, it will work but our c value will be 0 as I explained above .

To work out the gradient we simply take 2 points (0,0) and (1,5)) on the graph and use the gradient formula :

m = change in y ÷ change in x

m = 5÷1

m = 5

Therefore our direct proportion equation will be y=5x

Hope this helped and have a good day