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bogdanovich [222]
3 years ago
11

**The following scenario is for #12, #13, and #14 on this test.** A school chorus has 90 sixth grade students and 75 seventh gra

de students. The music director wants to make groups of performers, with the same combination of sixth and seventh grade students in each group. She wants to form as many groups as possible. Is this a GCF or LCM question?
A school chorus has 90 sixth grade students and 75 seventh grade students. The music director wants to make groups of performers, with the same combination of sixth and seventh grade students in each group. What is the largest number of groups that could be formed?

Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

A school chorus has 90 sixth-grade students and 75 seventh-grade students.

Factor these two numbers:

Find GCF(90,75):

Now,

Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

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The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers
gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.  

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked \times cost per hour

\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0
3 years ago
What is 2xy-3yz+5+2yz-xy
melomori [17]

To simplify this expression, we are going to combine like terms.


First, we can see that we have two terms with the variables xy being multiplied together, 2xy and -xy. Together, these add to xy, so our expression is now:

xy - 3yz + 5 + 2yz


We also have two terms with yz, -3yz and 2yz. Together, these add to -yz, so our expression is now:

xy - yz + 5


Our final expression is xy - yz + 5.

6 0
3 years ago
Describe two methods for converting a mixed number to a decimal
uysha [10]
R example: 6 1/2 = 13/2 = 6.5

For the first example, six and a half is equal to thirteen halves, which is then equal to six point five. To do this, the rule to turn a mix number into a fraction is by multiplying the 2 with the 6 and then add the answer to 1, which gives 13/2 (Remember to always give the same denominator). Finally, thirteenth halves is equal to six point five (because when you divide 13 by 2, you get 6 and one left over. To continue dividing, add a 0 , and so 10 goes into 2 is five. so the decimal is 6.5

4 0
4 years ago
9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare
prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

\frac{74}{9 - v} - \frac{74}{9 + v} = 5

⇒ \frac{2v}{81 - v^{2} } = \frac{5}{74}

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) }  }{2(5)} (Neglecting the negative root)

⇒ v = \frac{- 148 + 173.2166}{10} = 2.5 mph (Rounded to the nearest 10th) (Answer)

7 0
4 years ago
Corey bought 2 1/2<br> liters of paint for 60dollars <br> What was the cost per liter of paint?
sergij07 [2.7K]

Answer:

24 dollars per liter

Step-by-step explanation:

Take the number of dollars and divide by the number of liters

60 dollars / 2.5 liters

24 dollars per liter

6 0
3 years ago
Read 2 more answers
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