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lesantik [10]
4 years ago
15

Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g

olfing every 7^\text{th}7 th 7, start superscript, start text, t, h, end text, end superscript day. If Sherman and Brad both went golfing today, how many days until they will go golfing on the same day again
Mathematics
2 answers:
nydimaria [60]4 years ago
7 0

Answer:

In every 42 days,  Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

6=6,12,18,24,30,36,42

7=7,14,21,28,35,42

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

Anvisha [2.4K]4 years ago
7 0

Answer:

42

Step-by-step explanation:

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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
3 years ago
Jim’s picks 16 quarts of berries.He needs 21/4 quarts to make a batch of Jam. If he saves 21/2 quarts of berries to ea, how many
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Victoria has 12 photo albums to make gifts for her family. Each photo album will need $0.30 of buttins and $1 of ribbon. She est
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She underestimated by 60 cents. To get this answer all you need to do is multiply 1 dollar times 12 which is $12 and then multiply $.30 by 12 and that gives you $3.60. Then you add the $12 to the $3.60 and that gives you $15.60 which is 60 cents over the estimation.
6 0
4 years ago
Please help!! Please give step by step so i can understand
miss Akunina [59]

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

a^{m} ÷ a^{n} = a^{(m-n)}

(a^{m}) ^{n} = a^{mn}

Note 81 = 9² and 729 = 9³

Given

(81)^{-4} ÷ (729)^{2-p}

= (9^{2}) ^{-4} ÷ (9^{3}) ^{2-p}

= 9^{-8} ÷ 9^{6-3p}

= 9^{-8-(6-3p)}

= 9^{-8-6+3p}

= 9^{3p-14}

Thus

9^{3p-14} = 9^{4p}

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

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6 0
3 years ago
Jim and bill each invest $15,000 into savings accounts that earn 3.5% interest. Jims account earns simple interests and bills ac
Svet_ta [14]

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanation:

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

4 0
3 years ago
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