If X varies directly as Y and inversely as the square of Z, and X=20 when Y=5 and Z=6, find Y when X=15 and Z=3.

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Answer:

The area of the kids' pool is 900 square meters.

Step-by-step explanation:

The area of the kids' pool is 900 square meters. Only one side length needed to be found because it is a square (all sides are the same). The side length that can be easily found is the one that is shared with the rectangular pool. Using the Pythagorean theorem (a²+b²=c²), that missing side can be calculated. 40² is 1600 and 50² is 2500. To get the missing side ("b"), "c" must be subtracted by "a". 2500-1600=900. Even though that is the answer, the work is not done. The square root of 900 is 30. In the end, the missing side ("b") is 30 square meters. To find the area, you have to multiply 30 by 30. 30 times 30 is 900. So the kids' pool is 900 square meters.

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Answer:

$0.231

Step-by-step explanation:

Given data

P= $77

r= 16%

t= 6 months= 0.5 years

For simple interest

A= P(1+rt)

A=77(1+0.16*0.5)

A= 77(1+0.08)

A= 77*1.08

A= $83.16

For compound interest

A=P(1+r)^t

A= 77(1+0.16)^0.5

A= 77(1.16)^0.5

A= 77*1.077

A= $82.929

The difference is

=83.16- 82.929

=$0.231

Answer:

P = 36 1/6 feet

Step-by-step explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2  =  28 7/6 + 7  =  29 1/6 + 7 = 36 1/6 feet

Answer:

y = 75 - 9d

Step-by-step explanation:

y = amount of $ left

An algebraic expression to represent the amount of money left over is y = 75 - 9d

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.

Given that You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.

Let y be the amount of $ left

Therefore, the expression would be;

y = 75 - 9d

To know more about an expression follow;

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The first step would be to find how many players do both activties. So we would need to add 3/8 + 4/5.

I think you may now how to add fractions, but I will explain it anyways.

1. Figure out a common denominator, and find the equivlent fraction

2. Add

15/40 + 32/40   = 37/40

Then we need to figure how many members the fraction 37/40 represents.

As the fraction is already out of 40,

it would represent 37 members.

Therefore, 37 members do both activites.

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to

Answer:

2x^3 + 9x^2 - 11x - 30

so a=2, b=9, c= -11 and d= -30

Answer:

there are 4 times larger

Step-by-step explanation: 11 x 4 = 44 so its 4 times larger

Answer:

Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

Answer:

Area = 1476 units^2

Step-by-step explanation:

(2)(12)(30) + (2)(9)(30) + (2)(9)(12) total area

Area = 1476 units^2

Answer:

1,476 units

Step-by-step explanation:

Formula of surface area (rectangular prism):

A = 2(wl + hl + hw)

2 · (12·9 + 30·9 + 30·12) = 1476

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

Answer:

nice dude keep it up ☺️

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

300g for 7.49 has the best value

Step-by-step explanation:

200g for 5.69

200/5.69

35.15g for 1

300g for 7.49

300/7.49

40.05g for 1

Answer:

Exactly 1 solution

Step-by-step explanation:

When you graph it, you'll see that both lines intersect at 1 point in time only

Answer:

7 [tex]cm^{3}[/tex]

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex]

the answer is 7

Answer:

Idont know

Step-by-step explanation:

Answer:

ur answer is b

Step-by-step explanation:

ur welcome

Answer:

Step-by-step explanation:

[tex]\frac{3x + 5}{4x +2}=\frac{3x+4}{4x + 7}[/tex]

Cross multiply,

(3x+ 5 ) (4x + 7)=(3x + 4)*(4x + 2)

3x*4x  + 3x *7 + 5*4x  + 5*7  = 3x*4x  + 3x*2  +4*4x + 4*2

12x² + 21x + 20x + 35 = 12x² + 6x + 16x + 8   {Combine like terms}

12x² + 41x + 35   = 12x² + 22x + 8

12x² + 41x +35 - 12x² - 22x  = 8

12x² - 12x² + 41x - 22x + 35  = 8

0 + 19x  + 35 = 8

              19x = 8 - 35

             19x  = -27

x = -27/19

Answer:

x=68

Step-by-step explanation:

A²+b²=C²

side a:60²=3600

side b:32²=1024

3600+1024=4624

side c=√4624=68

Answer:

9.04-6.98=2.06

Answer:

7 bracelets & 10 rings

Step-by-step explanation:

I sadly don’t have the explanation because I’m trying to find it but I only have the answer

Answer:

its online survery tool

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Answer: The common number is 26.

Step-by-step explanation:

We know that the n-th term of a sequence is:

aₙ = 3*n^2 - 1

And the n-th term of another sequence is:

bₙ = 30 - n^2

Remember that in a sequence n is always an integer number.

We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:

aₙ = bₓ

This is:

3*n^2 - 1 = 30 - x^2

Let's isolate one of the variables, i will isolate n.

3*n^2 = 30 - x^2 + 1 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now we can try with different integer values of x, and see if n is also an integer.

if x = 1

n = √( (31 - 1^2)/3) = √10

We know that √10 is not an integer, so we need to try with another value of x.

if x = 2:

n = √( (31 - x^2)/3) = √(27/3) = √9 = 3

Then if we have x= 2, n is also an integer, n = 3.

Then we have:

a₃ = b₂

The common number between both sequences is:

a₃ = 3*(3)^2 - 1 = 26

b₂ = 30 - 2^2 = 26

Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

Answer:

[tex]\tt{}10x[/tex]

Step-by-step explanation:

[tex]\tt{}2x + 3x + 5x[/tex]

[tex]\tt{}(2 + 3 + 5)x[/tex]

[tex]\tt{}10x[/tex]

Answer:

Step-by-step explanation:

[tex]x^2 + 4x + 4 = 12\\\\x^2+2\cdot x\cdot2+2^2=12\\\\(x+2)^2=12\\\\x+2=-\sqrt{12}\quad\vee\quad x+2=\sqrt{12}\\\\x=-2\sqrt{3}-2\quad\vee\quad x=2\sqrt3-2[/tex]

Step by Step Solution

STEP

1:

           2

Simplify   —

           3

Equation at the end of step

1:

         2

 9xy • ((— • x)3)

         3

STEP

2:

Equation at the end of step

2:

       23x3

 9xy • ————

        33

STEP

3:

Multiplying exponential expressions :

3.1    x1 multiplied by x3 = x(1 + 3) = x4

Dividing exponents:

3.2    32   divided by   33   = 3(2 - 3) = 3(-1) = 1/31 = 1/3

Final result :

 8x4y

 ————

  3  

Step-by-step explanation:

Answer:

80 and 120 for 3 pointers

Step-by-step explanation: