I wanna cry Joseph pls answer this

Michael bought 24.58 feet of boards and needs to use them to make birdhouses. If each bird house requires 1.8287 of board to mak

aev [14]

Divide total amount of boards by amount needed for a birdhouse:

24.58 / 1.8287 = 13.44124

He can make 13 birdhouses.

8 0

3 years ago

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long. She wants t ok leave a uniform strip of floor aroun

Lostsunrise [7]

Answer:

Dimension of rug is $(15\times 18)\ ft$

Step-by-step explanation:

Given: Area of rug= 270 ft²

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long.

Let´s assume the uniform strip size of floor around rug be "x".

As given, Cynthia wants to leave a uniform strip of floor around the rug.

∴ Rug dimension will be $(23-2x)\times (26-2x)$

We know, area of rectangle= $width\times length$

Forming an equation for area of rug.

⇒ $270= (23-2x)\times (26-2x)$

Now solving the equation to find the dimension of rug.

$270= (23-2x)\times (26-2x)$

Using distributive property of multiplication.

⇒ $270= 598-46x-52x+4x^{2}$

⇒ $598-98x+4x^{2}= 270$

Subtracting both side by 270

⇒ $4x^{2}-98x+328= 0$

using quadratic formula to solve the equation.

⇒ Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

∴ In the expression , we have a= 4, b= -98 and c= 328.

Now, subtituting the value in the formula.

= $\frac{-(-98)\pm \sqrt{-98^{2}-4(4\times 328) } }{2\times 4}$

= $\frac{98\pm \sqrt{9604-4(1312) } }{8}$

Opening parenthesis.

= $\frac{98\pm \sqrt{9604-5248 } }{8}$

= \frac{98\pm \sqrt{4356}}{8}

We know 66²=4356 and √a²=a or -a

= $\frac{98\pm 66}{8}$

= $\frac{98+66}{8}\ or \ \frac{98-66}{8}$

= $20.5 \ or\ 4$

∴ Value of x will be either 20.5 ft or 4 ft

Ignoring decimal value, therefore taking value of x is 4 ft

Subtituting the value of x to find the dimension of rug.

Width of rug= $(23-2x)$

⇒ Width of rug= $23- 2\times 4$

⇒ Width of rug= $23-8= 15\ ft$

Next, Length of rug= $(26-2x)$

⇒ Length of rug= $(26-2\times 4)$

⇒ Length of rug= $26-8= 18\ ft$

Hence, dimension of rug is $(15\times 18)\ ft$

6 0

3 years ago

What is slope intercept form

Nat2105 [25]

Slope intercept form is y=mx+b

4 0

3 years ago

Read 2 more answers

The numbers represented by variables w and y on the number line are integers.

mixas84 [53]

Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.

Step-by-step explanation:

The given inequality is w<x<y and x>2.

step 1: let us assume that x=3, since it is given that x>2.

step 2: substitute the value of x=3 and each options in the inequality

step 3: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).

option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).

option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).

option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).

option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).

5 0

3 years ago

Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.

wariber [46]

Answer:

The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.

Hope this helps!! ;)

7 0

3 years ago