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vredina
1 month ago
14

Ranger was given this expression to simplify. 4(2x – 5) What advice to simplify the expression would you give Ranger? Check all

that apply.
First combine the terms in the parentheses.
This expression can be simplified by using the distributive property.
The 4 will be added to each term inside the parentheses.
The 4 will be multiplied to each term inside the parentheses.
A simplified expression is equivalent to the original expression.
Mathematics
2 answers:
zzz [12.3K]1 month ago
6 0

Answer:

The responses include

This expression can be simplified by applying the distributive property.

The 4 must be multiplied to every term located inside the parentheses.

A simplified version of the expression is equivalent to the original one.

Step-by-step explanation:

I dedicated time to complete my work.

Zina [12.3K]1 month ago
5 0

This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:

<span>The 4 should be multiplied by each term found inside the parentheses.

</span>

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1 month ago
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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount
lawyer [12517]

Answer:

Part a) Your budget is $40.

Part b) The price for one gallon of gasoline is $3.55, while a car wash costs $8.

Part c) x \leq 9.01\ gal

Part d) Refer to the explanation below.

Step-by-step explanation:

Please see the complete question in the attached image.

Part a) The budget is expressed by the equation

y = 40

therefore,

Your budget amounts to $40.

Part b) In terms of costs, how much is a gallon of gasoline and what is the car wash price?

Let

y ------> denote the total cost for a gallon of gasoline along with a car wash

x -----> define the volume of gasoline in gallons

We can express the relationship as

y = 3.55x + 8

For calculations, when x = 0, we have:

y = 3.55(0) + 8 = 8

The y-intercept signifies the cost of the car wash, being $8.

Now, to identify the price of one gallon of gasoline:

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m = $3.55 per gallon

This confirms that a gallon of gasoline costs $3.55.

Part c) Formulate an inequality representing the potential quantity of gasoline you can purchase:

We have:

3.55x+8 \leq 40

Now, solve for x:

3.55x \leq 40-8

3.55x \leq 32

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Part d) Utilize the graph to determine the solution of the inequality from part c)

We can set up the system:

y = 40

y = 3.55x + 8

The solution lies at the intersection of both graphs. By observing the graph, the intersection appears to be around (9, 40).

This indicates that the maximum volume of gasoline purchasable within your budget is approximately 9 gallons.

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1 month ago
What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam
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Answer:

Refer to the detailed explanation below

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# Step 1:

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# Step 2:

- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step

# Step 3:

- With the compass on point D, create an arc inside the angle ⇒ sixth step

# Step 4:

- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step

# Step 5:

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zzz [12365]

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