if you have been ask to offer your services wrapping gifts at the catholic womans league bazar. you have to wrap the following boxes. Assuming you do not have any overlap, how much wrapping paper will you need? if each container were filled what would be the total volume? express your answers in both metric and imperial.

Answer:

side length of the smaller room = 5 m

Side length of the larger room = 8 m

Step-by-step explanation:

Total area of two square room = 89 m²

Area of a square = side²

Let

x = side of the smaller square

x + 3 = side of the longer square

Total area = area of room A + Area of room B

89 = x² + (x + 3)²

89 = x² + x² + 6x + 9

89 - 9 = 2x² + 6x

2x² + 6x = 80

2x² + 6x - 80 = 0

Divide through by 2

x² + 3x - 40 = 0

Solve quadratic equation using factorization method

x² + 8x - 5x - 40 = 0

x(x + 8) -5(x + 8) = 0

(x - 5) (x + 8) = 0

(x - 5) = 0 (x + 8) = 0

x = 5 x = -8

The side length of a square room can not be a negative value

Therefore, side length of the smaller room = 5 m

Side length of the larger room = 5 + 3

= 8 m

Answer

✔ income statement

Is the question complete??

The slope intercept form of the equation x + 6y - 2 is y = -x/6 + 1/3.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

The given equation is,

x + 6y = 2,

To find the slope intercept form of the equation,

Solve the equation,

6y = -x + 2

y  = -x/6 + 2/6

y = -x/6 + 1/3

The slope intercept form of the equation is y = -x/6 + 1/3.

To know more about Slope intercept form :

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Answer:

Step-by-step explanation:

-1_|  2   6    7    -6

           -2   -4    -3

       2   4    3     -9

2y^2 + 4y + 3 - 9/(y + 1)

Answer:

Angela by 3 sf per hour

Step-by-step explanation:

60÷15=4

28×4=112

115-112=3

Answer:

B

Step-by-step explanation:

The 47 comes from no where and is just a random number so it cannot be an equation that you can use.

Answer:

A

Step-by-step explanation: I can figure out everything else except for A.

Answer: y=2

Step-by-step explanation: 2 is the y intercept and the slope is 0

Answer:

B. 2

Step-by-step explanation:

To solve this, we need to divide 30 by 7. 30/7=4 R2

The remainder is 2, so there are 2 books left over.

Hope his helps and have an amazing day *^____^*

Answer:

2

Step-by-step explanation:

If 1 box holds 7 books...

2 boxes hold 14 books.

3 boxes hold 21 books.

4 boxes hold 28 books.

5 boxes hold 35 books.

However, since there are only 30 books, the 5th box won't be completely filled up. This gives us the answer: If Lamont fills up each box he would have 30-28, or 2 books left over.

Hope this helps!

Answer:

radius = 3

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take the square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

Answer:

you can read the problems

Answer and explanation:

They are not equivalent because if we simplify the second expression, the result isn't the same:

7(y×b)+3b

= 7(yb)+3b

=7yb + 3b

Therefore 7yb+3b≠7y+7b+3y

And even though you meant

7(y+b)+3b

=7y+7b+3b

=7y+10b

7y+10b≠10y+7b

Answer:

Step-by-step explanation:

what did u mean,

i didnt understand

Answer:

[tex]y=8(5)^x[/tex]

Step-by-step explanation:

We want an exponential function that goes through the two points (0, 8) and (2, 200).

Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:

[tex]8=a(b)^0[/tex]

Simplify:

[tex]a=8[/tex]

So we now have:

[tex]y = 8( b )^x[/tex]

Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:

[tex]200=8(b)^2[/tex]

Solve for b. Dividing both sides by 8 yields:

[tex]b^2=25[/tex]

Thus:

[tex]b=5[/tex]

Hence, our exponential function is:

[tex]y=8(5)^x[/tex]

Answer:

[tex]y = 8(5) {}^{x} [/tex]

Step-by-step explanation:

The normal exponential function is in form

[tex]y = ab {}^{x} [/tex]

let plug in 0,8

[tex]8 = ab {}^{0} [/tex]

b^0=1

so

[tex]8 = a \times 1 = \: \: \: \: a = 8[/tex]

So so far our equation is

[tex]y = 8b {}^{x} [/tex]

So now let plug in 2,200

[tex]200 = 8b {}^{2} [/tex]

Divide 8 by both sides and we get

[tex]25 = b {}^{2} [/tex]

[tex] \sqrt{25} [/tex]

Which equal 5 so b equal 5. So our equation is

[tex]y = 8(5) {}^{x} [/tex]

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Distributive Property:

3(3x+1)

9x+3

Answer:

2/9

Step-by-step explanation:

anything repeating is over 9

Answer: Rs 7,280

Step-by-step explanation:

The technique to find tax is by multiplying the sales price and the percent of tax.

If you are still confused, I can provide some examples:

------------------------------------------------------------------------

Given

Price: Rs 45,500

Tax: 16%

Calculate

45,500×16%=Rs 7,280

Hope this helps!! :)

Please let me know if you have any questions

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

Answer:

165 of nickels and 165 of dimes

Answer:

point f is in quadrant 3 . . .

Answer:

Answer A=48

Step-by-step explanation:

Took the test got it right.

The expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

Given is the expression as -

(2w - 2)³ × (8w⁶)

The given expression is -

(2w - 2)³ × (8w⁶)

{2(w - 2)}³ × (8w⁶)

8(w - 1)³ × (8w⁶)

(a+b)³ = a³ - 3a²b + 3ab² - b³

So, on expanding, we will get -

8(w³ - 1 - 3w² + 3w) x (8w⁶)

(8w³ - 8 - 24w² + 24w )(8w⁶)

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷

Therefore, the expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

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Answer:

2.5

Step-by-step explanation:

Divide 37.5 by speed per hour

37.5/15=2.5

Answer:

2.5 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

Answer: 2880 flowers

Step-by-step explanation:

Since 648 flowers were arranged in 27 large vases, with the same number in each vase, this means that each vase will contain 24 flowers

= 648/27

= 24 flowers

Therefore, the number of flowers needed to fill 120 vases will be:

= 24 × 120

= 2880 flowers

Answer:

180

Step-by-step explanation:

Answer:

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Using the 45- 45- 90 triangle with legs 1, 1 and hypotenuse [tex]\sqrt{2}[/tex] , then

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] if the denominator is rationalised

Answer:

80

Step-by-step explanation:

(27-15):15*100 =

(27:15-1)*100 =

180-100 = 80

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Answer:

66.66666667 percent

Step-by-step explanation:

In this case we have a positive change (increase) of 66.66666667 percent because the new value is greater than the old value. Using this tool you can find the percent increase for any value.

Answer:

a=12 will be answered

Step-by-step explanation:

a=side

a=12

Answer:

12

Step-by-step explanation:

you have to divide 3 by 36 to get 12

Answer:

The answer is C

Step-by-step explanation:

Exponential decay is when b is between 0 and 1.

Answer:

C. y = 10(0.13)^x.

Step-by-step explanation:

exponential decay is decreasing from what I remember from Algebra 1 Honors. So therefore, your only answer can be C. y = 10(0.13)^x.

The others all increase because 31, 3.1, 1.03 are all bigger than 1 which means that they increase while .13 decreases.

C. y = 10(0.13)^x.

Answer:

I can't see the figure.

Answer:

270 inches

Step-by-step explanation:

Multiply all sides

Answer:

-24

Step-by-step explanation:

Since only one of the factors has a negative sign, the product will be negative.

4 · (-6) = -24

Answer:

-24

Step-by-step explanation:

4×(-6)

Remove parenthesis

-4 x 6

= -24

Extra

Its basically the same thing as 4 x 6 (which is 24) the only difference here is that the 4 is a negative.

POSITIVE FORM             NEGATIVE FORM

4 x 6 = 24                           -4 x 6 = -24

6 x 4 = 24                            -6 x 4 = -24

Hope this helps :)