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3 years ago

8/9x1/4= simplify to lowest terms

Mathematics

1 answer:

Jobisdone [24]3 years ago

7 0

Answer:

The answer is 2/9

Step-by-step explanation:Multiply both numerators and denominators. Cancelling by a common factor of 4 gives 2/9.

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The scatter plot below shows the relationship between latitude of cities and their average January temperature. Which is the bes

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-2.5

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3 years ago

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Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay

chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

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2 years ago

Amir encoded a secret phrase using matrix multiplication.

shtirl [24]

This is the question

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3 years ago

A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each

ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

Step-by-step explanation:

Hello,

Let's note

a the number of $10 bills

b the number of $20 bills

The total value is $520 so we can write the first equation (1)

$\boxed{\sf 10a \ + \ 20b \ = \ 520 }$

We know that there are 32 bills in total so we can write the second equation (2)

$\boxed{\sf a \ + \ b \ = \ 32 }$

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

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Yuliya22 [10]

Answer:

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We know that Y⊥B, and Z⊥B, which means both Y and Z are perpendicular to B, meaning that they both create 90° angles with B, and from that, we can make the conclusion that Y || Z

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