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3 years ago

A middle school has 419 students and 22 homerooms. How many students are in each homeroom and how many students are left over?

Mathematics

2 answers:

Murrr4er [49]3 years ago

7 0

There are nineteen students in each homeroom, and three people left over.

JulijaS [17]3 years ago

5 0

19 people are in a room and one is left over.

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Solve each equation. 10. 5n - 16 - 8n = -10 What the answer to this please

Tomtit [17]

Answer:

n = -2

Step-by-step explanation:

5n - 16 - 8n = -10

Combine like terms

-3n -16 = -10

Add 16 to each side

-3n-16+16 = -10+16

-3n = 6

Divide by -3

-3n/-3 = 6/-3

n = -2

8 0

3 years ago

Read 2 more answers

There is enough fencing to surround the dog's play yard. The yard must have a perimeter of n more than 38 feet. The length of th

Ierofanga [76]

Answer:

Step-by-step explanation:

Let y = length of side parallel to the side with no fence

x = length of each of the other two sides

Then, y+2x = 64. So, y = 64-2x

Area = A = xy = x(64-2x)

The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).

By the symmetry of the parabola, the x-coordinate of the maximum point lies halfway between the x-intercepts.

So, the area is maximized when x = 16 ft

y = 64 - 2x = 32 ft

Maximum area = xy = (16)(32) = 512 ft2

To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.

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Long N. answered • 10/06/16

TUTOR 4.5 (4)

Years of Tutoring Calculus, Algebra, Statistics, Finance and SAT Prep

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For the fixed given perimeter, the maximum area which can be obtained is a square.

So for 3 sides= 64 feet

one side = 64/3

The maximum area is 64/3*64/3 square feet

4 0

3 years ago

A home security company plans to open a calling center to respond to customer calls and

Romashka-Z-Leto [24]

Answer:

$x+y\geqslant 12$

$x+2y\leqslant 20$

Step-by-step explanation:

Inequalities

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

$x+y\geqslant 12$

$x+2y\leqslant 20$

7 0

3 years ago

Write 2.71x10-3 as an ordinary number.

Katyanochek1 [597]

Step-by-step explanation:

${2.71 \times 10}^{ - 3}$

This can be rewritten as

$2.71 \times \frac{1}{10^{3} }$

If we will solve this way,

$\frac{2.71}{1000} = 0.00271$

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

$2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710$

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

5 0

3 years ago

What is equivalent to -9(x - 4 ) - 6x

Lapatulllka [165]

The answer would be -15x+36. To solve this equation, you would first use distributive property and distribute the -9 to the values inside the parentheses (or multiply them). So, you would multiply -9 and x and -9 and -4 to get -9x+36-6x. Then, you combine like terms, which are -9x and -6x to get -15x. You can't simplify any further without knowing the value of x. Hope this helps!

4 0

3 years ago