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KiRa [710]
2 years ago
9

Ms. Bohannon has 45 students in her 6th grade class. There is a ratio of boys to girls is 5 to 6. Which number could be the numb

er of boys in Ms. Bohannons 6th grade class?​
Mathematics
2 answers:
Schach [20]2 years ago
8 0

Answer:

5 boys could be the Answer im pretty sure its the Anwser ?

Step-by-step explanation:

Whitepunk [10]2 years ago
7 0

Answer: 22 boys and 23 girls

Step-by-step explanation:

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A tennis ball has a radius of about 1.4 inches What is the volume of the tennis ball to the nearest half inch.? Use 3.14 as an a
Ilya [14]

Answer:

Volume of tennis ball = 11.49 inch³

Step-by-step explanation:

Given:

Radius of tennis ball = 1.4 inches

Value of π = 3.14

Find:

Volume of tennis ball

Computation:

Volume of sphere = [4/3][π][r]³

Volume of tennis ball = [4/3][π][Radius of tennis ball]³

Volume of tennis ball = [4/3][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][2.744]

Volume of tennis ball = [4.1856][2.744]

Volume of tennis ball = 11.4852

Volume of tennis ball = 11.49 inch³

6 0
2 years ago
Given that cosA = -8/17  and sinA is negative, determine the value of tanA.​
borishaifa [10]

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

=  15/17 / -8/17

= 15/-8

= -15/8.

5 0
3 years ago
The luxury tax threshold in a professional sports league is the amount in total payroll that teams must stay under to prevent be
VMariaS [17]

Answer:

A: The coefficient changes from 120 to 117, and the base changes from 1.033 to 1.035. The function that represents the second model is A(t)=117(1.035)^t.

Step-by-step explanation:

luxury tax you get only the amount that you need

6 0
2 years ago
The area of a rectangle is 56 cm. the length is 2 less than x and the width is 5 less than twice of x. solve for x
Nostrana [21]

Answer:

x=\frac{9+\sqrt{449}}{4}

Step-by-step explanation:

The area of a rectangle is:

A=l\cdot w

First let's write both the length and the width in terms of x:

l=x-2

<u>How we obtained the answer</u>:

The question states the length is "2 less than x". In this case, "less" is a keyword that represents subtraction. Therefore, "2 less than x" is "x-2".

w=2x-5

<u>How we obtained the answer</u>:

The question states the width is "5 less than twice of x". First, start by figuring out what "twice of x" is. The keyword is "twice" which represents multiplication. Therefore, "twice of x" can be written as "2x". Then, using the same keyword from before ("less"), "5 less than..." represents "2x-5".

Given:

Area = 56 cm

l=x-2

w=2x-5

Find:

x

A=l\cdot w

56=(x-2)(2x-5)

FOIL (Firsts, outsides, insides, lasts):

56=2x^2-4x-5x+10\\56=2x^2-9x+10

Subtract 10 from both sides:

46=2x^2-9x

Subtract 46 from both sides (forms a quadratic equation):

0=2x^2-9x-46

Use the quadratic formula:

{x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}  where 0=ax^2+bx+c

Therefore:

x=\frac{9\pm\sqrt{81-4(2)(-46)}}{2(2)}\\x=\frac{9\pm\sqrt{81+368}}{4}\\\\x=\frac{9\pm\sqrt{449}}{4}

The answer is:

x=\frac{9+\sqrt{449}}{4}

This is because if we used subtraction, we would get a negative value, and we cannot have a negative length/width.

4 0
2 years ago
Find the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm
FromTheMoon [43]

Answer:

The surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.

Step-by-step explanation:

Slant height of square pyramid = l = 13 mm

Base length of square pyramid = b = 11 mm

Formula of surface area of square pyramid =b^2+2bl

Substitute the values in the formula :

Surface area of square pyramid =11^2+2(11)(13)

Surface area of square pyramid =407 sq.mm.

Hence the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm is 407 sq.mm.

3 0
3 years ago
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