A theater group bought supplies to construct the
hardware cost $17.63.
to construct the set of a play. Lumber cost $145.86, paint cost $52.91, and

(c) What percent
of the total cost was the cost of the
Text
decimal rounded to the
paint and the hardware? Write your answer as a
nearest thousandth. Show
Show your work.

Step-by-step explanation:

Let the increase in the size of the length and breath be 'x'.

The area of the rectangle = 12in × 8in

=96 in²

From the question,

(12+x)(8+x)=96×2 in²

or, 96+12x+8x+x²= 192

or, x²+20x+96-192=0

or, x²+20x-96=0

or, x²+24x-4x-96=0

or, x(x+24)-4(x+24)=0

or, (x-4)(x+24)=0

Either, Or,

x-4=0 x+24=0

Therefore, or, x= –24 (Which is impossible)

x=4

So the new dimensions are 12+4=16 inch and 8+4=12 inch.

Answer:

75 %

Step-by-step explanation:

Answer:

y-1 = 2(x+2)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -1 = 2(x - -2)

y-1 = 2(x+2)

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it the only one that make sense

Answer:

f/9

Step-by-step explanation:

n + 5/5 = f + 9/9

do cross multiplication

5(f+9)=9(n+5)

5f+45=9n+45

5f=9n+45-45

5f=9n+0

f/9 = n/5

Answer:

$1.50

Step-by-step explanation:

25% of 6 is basically just 6/4, which is 1.5.

This is money we're talking about, so the answer is $1.50

Answer:

(3 , 0 )

Step-by-step explanation:

At x-axis, y-co ordinate is 0

So, (3,0)

Answer: (3, 0)

Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0)  is the x-axis.

In the picture below, I have plotted a few points including the point

in this problem to show you that all x-intercepts have a y-coordinate of zero.

Answer:

C. a = 6√3, b = 12, c = 6√2

Step-by-step explanation:

First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:

cos(60°) = 6/b

0.5 = 6/b

b = 6/0.5

b = 12

Now we can find a using the Pythagorean theorem:

b² = 6² + a²

12² = 6² + a²

144 = 36 + a²

a² = 144 - 36

a² = 108

a = √108

a = 6√3

And now we can find c using cos again:

cos(45°) = c/b

√2/2 = c/12

c = 12•√2/2

c = 6√2

Answer:

-2/5

Step-by-step explanation:

( -8/ 125) ^ 1/3

We know (a/b) ^ 1/3 = a^ 1/3  / b^1/3

( -8) ^ 1/3  / ( 125) ^ 1/3

Rewriting

( -2^3) ^ 1/3  / ( 5^3) ^ 1/3

We know that a^b^c = a^(b*c)

-2^(3* 1/3)  / 5^(3 * 1/3)

-2 / 5

Answer:

-2/5

Step-by-step explanation:

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

Answer:

136 sq units

Step-by-step explanation:

area = length  * width

a = 17 * 8

a = 136 sq units

The area of the rectangle is given by the equation A = 136 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L

Now , the value of L = 17 units

Let the width of the rectangle be W

Now , the value of W = 8 units

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 8 x 17

Area of rectangle A = 136 units²

Therefore , the value of A is 136 units²

Hence , the area of rectangle is 136 units²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ7

Answer:

{x,y}={5,-3}

Step-by-step explanation:

[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]

Answer:

21 cm²

Step-by-step explanation:

Applying,

A = (a+b)h/2............. Equation 1

Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.

From the diagram

Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)

Substitute these values into equation 1

A = 3(5+9)/2

A = 3(14)/2

A = 3×7

A = 21 cm²

Answer

IS 2/4

Step-by-step explanation:

1/3 = 4/12  1/4 = 3/12  4/12+3/12= 6/12 = 2/4

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

[tex]4y-4+3y=52[/tex]

1) Solve for y

[tex]4y-4+3y=52[/tex]

Combine like terms

[tex]7y-4=52[/tex]

Add 4 to both sides to isolate 7y

[tex]7y-4+4=52+4\\7y=56[/tex]

Divide both sides by 7

[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]

Angle B:

[tex]3y\\=3(8)\\=24[/tex]

I hope this helps!

Answer:

4 1250 m

Step-by-step explanation:

Hope it helps you.

Answer:

Add -8

Step-by-step explanation:

Take the second term and subtract the first term

6-14 = -8

Check with the third and second terms

-2 -6 = -8

We are subtracting 8 from each side

(or adding -8)

Step-by-step explanation:

14, 6, -2, -10 , -18

ok so if you are starting at 14 then you would be add -8

14-8=6

6-8=-2

so on and so on..

But if you are starting from -18 then you would add 8

-18, -10,-2, 6, 14

-18+8=-10

-10+8=-2 so on and so on

so either one of those depending on which number your starting with

Answer:

I think its C

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

(x²)³ ÷ x⁶

x⁶ ÷ x⁶

x

Answer:

13.76

Step-by-step explanation:

Find the area of the entire square (8 x 8 = 64)

Find the area of the circle (3.14 x 4^2 = 50.24)

Subtract the two (64 - 50.24 = 13.76)

Answer:

2015-2010=5

50÷5=10

120-50=70

2017-2015=2

2*10=20

70-20=50mg

2018=50mg

Step-by-step explanation:

everything can be found in the picture

Answer:

profit(n) = n * .50

Profit(10) = 5.00

Step-by-step explanation:

Profit = amount of candy bars sold * profit per candy bar

profit(n) = n * .50

Let the number of candy bars sold be 10  ( n=10)

Profit(10) = 10 * .50

               = 5.00

When you added you only added 9  .50 terms which is why you only got 4.50 for your answer.

Answer:

C. [tex] 2 y^2 [/tex]

Step-by-step explanation:

[tex]( {3} \degree {y}^{2} ) \times \: 2(xy) \degree \\={3} \degree {y}^{2} \times \: 2\times x \degree\times y \degree \\=1 {y}^{2} \times \: 2\times 1\times 1 \\ = {y}^{2} \times 2 \\ = 2 {y}^{2} [/tex]

Answer:

Option B is correct

Step-by-step explanation:

Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:

x(x+3) = 40

x2 + 3x = 40

x2 + 3x + 40 = 0

Now, factor the equation:

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

Then, solve for both values of x:

x+8 = 0

x = -8

x-5 = 0

x = 5

As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.

Answer:

Doug is 10 years old; option A

Step-by-step explanation:

set up expressions using the information you already know:

B (byron)

D (doug)

B = D + 3

B * D = 40

you can now solve by plugging in an expression for the variable B in the second equation.  

D + 3 * D = 40

D + 3D = 40

(combine like terms)

4D = 40

(divide by 4 on both sides to isolate the variable and balance the equation)

4D/4 = 40/4

D = 10

So, the answer is A; Doug is 10 years old

Answer:

let kiran's age be x

kiran's father's age is 65

acc.to ques

kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows

8+3x =65

therefore

3x =65-8

3x =57

x =57/3

x= 19 ans

so kiran's age is 19 years.

Answer:

kiran is 19 years old.

Step-by-step explanation:

kiran's father age = 65

let kiran's age be x

kiran's father is 8 years older than three times kiran's age means 8 + 3x

so according to the question equation is

65 =  8 + 3x

65 - 8 = 3x

57/3 = x

19 = x

therefore kiran's age is 19 years.