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denpristay
1 month ago
12

selma is now 3 times older than joyce . four years ago , selma was 4 times as old as joyce was then . find their present ages

Mathematics
1 answer:
tester [12.3K]1 month ago
8 0

Let Selma's current age be s

Let Joyce's current age be j

Selma is three times as old as Joyce now

s=3j........(1)

Four years prior,

s-4=j-4

This means

Selma was four times Joyce's age

s-4=4(j-4)

s-4=4j-16

s=4j-16+4

s=4j-12.............(2)

Now substitute s in (2) using (1)

3j=4j-12

3j-4j=-12

-j=-12

Multiply by -1 on both sides

j=12

Now substitute j into (1)

s=3j

s=3(12)

s=36

Selma's current age = s = 36 years old

Joyce's current age = j = 12 years old

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The true value is 25.7 ml.
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1 month ago
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Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a
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Answer:

A. Combining one pound of pistachios with one pound of almonds costs $20.

C. Decreasing the almond quantity by one pound leads to a total price of $40.

E. The price p (in dollars) per pound of pistachios is represented by the equation 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let:

x = cost per pound of pistachios

y = cost per pound of almonds

We know that

x = y + 4 (Equation A)

2x + 3y = 48 (Equation B)

Substitute x from Equation A into Equation B:

2(y + 4) + 3y = 48

2y + 8 + 3y = 48

5y = 48 – 8

y = 8

Find x:

x = 8 + 4 = 12

Therefore, pistachios cost $12 per pound and almonds cost $8 per pound.

Verify the statements:

Case A) One pound of each equals $20.

True, since 12 + 8 = 20.

Case B) Pistachios cost twice as much as almonds.

False, because 2 × 8 = $16 ≠ $12.

Case C) Reducing almond pounds by 1 yields $40 total.

True, as 2(12) + 2(8) = 24 +16 = 40.

Case D) The almond cost modeled by 2(a – 4) + 3a = 48.

False; it should be 2(a + 4) + 3a = 48.

Case E) The pistachio cost modeled by 2p + 3(p – 4) = 48.

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2 months ago
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19 days ago
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Answer:

Expiration Date: 1/17/2017

Expiration Time: 4:00am

Preparation Date: 12/3/2016

Preparation Time: 4:00am

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Detailed Breakdown:

An illustrative depiction of the question has been provided in an image format for clarity.

From the information given, it is noted that her store order arrived on 12/3/2016 at 4am, confirming that both the prep date and time are 12/3/2016 and 4am respectively. The product has a printed expiration date of 1/17/2017, logically indicating that its expiration time is also 4am, in line with the prep time; adding 24 hours leads us back to the same time on the expiration date. Furthermore, we were informed that she utilized the product on 12/7/2016, which marks the initial use date. Based on this information, we can summarize as follows:

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Expiration Time: 4:00am

Preparation Date: 12/3/2016

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