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Katena32 [7]
3 years ago
15

A printer takes 30 minutes to print a banner and a poster. I will take 50 minutes to print a banner and three posters. How long

does it take to print a banner?
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

b+p=30\\b+3p=50

We can solve for the unknown "p" by subtracting term by term in the equation set above:

b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

b+p=30\\b+10=30\\b=20

So, it takes 20 minutes to print a banner.

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Mary loves eating fruits.Mary paid $7.98 for each of 2 berries and $ 5.99 for 3 peaches with 2 $20 dollars.How much change did M
kupik [55]

Answer:

6.07

Step-by-step explanation:

We know that Mary has two twenty dollar bills, equaling to forty dollars in total.

So lets start on the first few things she buys, the berries, each costing 7.98 dollars and cents, since she only bought two, that means we need to multiply 7.98 by 2

==> 15.96 dollars and cents

Now we can take it out of forty.

    $ 40.00

-    $ 15.96

-------------------

    $24.04

Now we only have 24.04 dollars and cents.

Now for the next few items, the peaches which costs 5.99 each, then since he only bought 3, we multiply 5.99 three times.

==> 17.97 dollars and cents

Now we can take it out of 24.04.

     $24.04

-     $ 17.97

--------------------

      $6.07

Mary has 6 dollars and 7 cents in change.

5 0
3 years ago
Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

x⁷ = 60

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • log x⁵ + log x ¹² = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • The expotential equation .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

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I hope this is the answer. 2x+1

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5

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rate of change = slope = 5

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