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bezimeni [28]
2 years ago
5

A school chorus has 45 sixth-grade students and 70 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. She wants to form as many groups as possible.
What is the largest number of groups that could be formed?
Mathematics
2 answers:
Fittoniya [83]2 years ago
5 0

5 groups with 9 sixth-grade students and 14 seventh-grade students in each.

---

hope it helps

stepladder [879]2 years ago
5 0
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 pipe is leaking at 1.5 cups per day about how many gallons per week is the population
Inessa [10]
The question asks per week. So 1.5 cups times 7 days is 10.5 cups. 

The pipe leaks 10.5 cups every week.
6 0
3 years ago
A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
3 years ago
If Upper A equals StartSet x | x is an even integer EndSet commaA={x | x is an even integer}, Upper B equals StartSet x | x is a
White raven [17]

Answer:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Step-by-step explanation:

A={x | x is an even integer}

B={x | x is an odd integer},

C={2, 3, 4, 5},

D={8, 9, 10, 11}.

A union of two or more sets is the collection of the members of the sets in a set without repeating any element.

Given sets C and D above, the union of the two sets is the set:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Note: The Intersection is the collection of sets that are common to C and D. in this case no element is common, therefore the intersection is a Null Set.

8 0
3 years ago
A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed fro
ehidna [41]
Given: 

Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
       Mountain B to helicopter = 43 degrees
       Mountain B to Mountain A = 19 degrees
 
 First, draw an illustration and label the enumerated given values.

Observe that there are two right triangles formed:

From the triangle formed by the helicopter and Mountain B, 

let x = total height of mountain B
     y = leg of first triangle (helicopter and mountain b)
     h = hypotenuse
Use the Pythagorean Theorem:

cos (43) = y / h

From the second triangle formed by mountain b and a,

cos (19) = (1000 + y) / h

solve for h and y

then, solve for the height of Mountain B:

x = 1000 + y + 5210
6 0
3 years ago
How much water do you need to add to make each concentration?<br> 1% sugar syrup using 12 g sugar
yulyashka [42]

Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

6 0
2 years ago
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