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adelina 88 [10]
3 years ago
13

If a gym class is divided into 4 equal teams, 2 students have to sit out; 5 teams, 1 student has to sit out; 6 teams, 4 students

have to sit out. If there are fewer than 70 people in the class, what is the minimum number of students that need to be added so that the class can be divided into 4,5, and 6 equal teams with no students sitting out?
Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

x = number of students in the class

"there are fewer than 70 people in the class"

x < 70

x must be divisible by 4,5 and 6.

x must be a multiple of 5

x can't end with a 5, because it won't be divisible by 4 or 6. This means x must end with a 0.

List the multiples of 6 and 4 till you find their highest common factor.

x = 60

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Identify the outputs if the function rule is 2x - 5 and the inputs are 5,10,15
Alex73 [517]

Answer:

15

Step-by-step explanation:

that is the answer

6 0
3 years ago
Which property of equality is shown here?<br> (x2 − 4)x = x(x2 − 4)
stiv31 [10]

Commutative property of multiplication is what the property is called.

A * B = B * A

Where both 'A' and 'B' are expressions.

Hope this helps!

4 0
3 years ago
The correct simplification of (7x3y3)2.
anyanavicka [17]
<span>49 x^6 y^6
Assuming the 2 is an exponent.
I had the same question.
Just square </span>everything.
Ex. 7^2 = 49



Brainiest would be nice.
7 0
3 years ago
Read 2 more answers
Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the E
vredina [299]

Answer:

2513 miles

Explanation:

\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

\sf \rightarrow  \dfrac{36}{360} * 2\pi (4000)

\sf \rightarrow  800\pi \  \ \ (in \ terms \ of \ \pi )

\sf \rightarrow  2513.3 \ \ (rounded \ to \ nearest \ tenth)

\sf \rightarrow  2513 \ \ (rounded \ to \ nearest \ mile)

5 0
2 years ago
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