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lora16
1 month ago
10

D = 5x + 10xf solve literal equation for x

Mathematics
1 answer:
Leona [12.6K]1 month ago
4 0

Answer:

x=\dfrac{d}{(5+10f)}

Step-by-step explanation:

The equation provided is:

d = 5x + 10xf

We need to isolate x from this equation.

Factoring out x from the right side gives us,

d=x(5+10f)

To find x, divide both sides by (5+10f),

x=\dfrac{d}{(5+10f)}

Thus, this represents the sought value for x.

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Answer:

Yes, the cost y in dollars and the quantity of yogurt x are indeed proportional.

The relationship can be expressed as: y=0.08x


Step-by-step explanation:

1. If y varies directly with x, it can be represented as:

y=kx

Here, k represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that y=2.56 and x=32, we have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Thus, the equation becomes:

y=0.08x

4. Now, we need to verify proportionality. Substituting x=6, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

y=0.08(6)\\y=0.48

5. They are indeed directly proportional.

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1 month ago
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Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
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Answer:

Comprehensive explanation:y=-30x+210

Let's denote

x -----> the number of days

and

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Jane must lower the price by 20%
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A bag of marbles can be divided evenly among 2,3 or 4 friends. A) How many marbles might be in the bag? B) What is the least num
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Response:

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