Colby wants to set up square tiles on the top of a wooden box. The top of the wooden box is a rectangle 7 1/2 inches long and 5 1/2 inches wide. Could Colby use 3/4 inch tiles to cover up the top of the box?

Answers

Answer 1

Answer: Yes he can, because when the area of the top of the box is divided by 3/4, you get a whole number, meaning there would be no tile pieces left over, which means that he could cover the top. SEE PICTURE FOR WORK.

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What is the area of the trapezoid? A trapezoid has a base of 20 feet, a height of 24 feet, and a top side length of 16 feet.

Answers

the area of the trapezoid is 432 ft2

Answer:

EASY PEASY!

Step-by-step explanation:

So First, We have to create an equation that can find the area!

Using the area of a trap. formula:

$A=((b_(1)+b_(2) ) )/(2) \left * h\n$

$A=(16+20)/(2) *24\nA=18*24\nA=432$

The area of the trapezoid is 432 ft^2

There you go!

Hope this helps!

P.S. Stay Safe!

Ebba is buying bulk fabric and shopping for the best deal. Drag the fabric in order from the least to the greatest unit cost in dollars per square yard.

Answers

Answer:

From least to greatest in cost is Red, Brown, Purple, Silver.

Step-by-step explanation:

Ebba is buying bulk fabric and shopping for best deal, in order to calculate best deals of fabric we calculate per square yard of each fabric.

Purple : 6.5 square yard = $6.25

Therefore 1 square yard = 6.25 ÷ 6.5 = $0.96

Red : 4 square yard = $3.00

Therefore 1 square yard = 3.00 ÷ 4 = $0.75

Brown : 8.5 square yard = $8.10

Therefore 1 square yard = 8.10 ÷ 8.5 = $0.95

Silver : 6 square yard = $7.20

Therefore 1 square yard = 1.20 ÷ 6 = $1.20

Now we arrange the fabric in order from the least to the greatest unit cost in dollars per square yard.

Red, Brown, Purple and Silver.

The answer is Red=0.75, Brown=0.95, Purple=0.96, Silver=1.20

16x²-81=0 solve the following quadratic equation

Answers

$16x^2-81=0\n\n(4x)^2-9^2=0\n\n(4x-9)(4x+9)=0\iff4x-9=0\ \vee\ 4x+9=0\n\n4x=9\ \vee\ 4x=-9\n\nx=(9)/(4)\ \vee\ x=-(9)/(4)$

$or\n\n16x^2-81=0\n\n16x^2=81\ \ \ \ /:16\n\nx^2=(81)/(16)\n\nx=\pm\sqrt(81)/(16)\n\nx=-(√(81))/(√(16))\ \vee\ x=(√(81))/(√(16))\n\nx=-(9)/(4)\ \vee\ x=(9)/(4)$

16x^2-81=0
(4x-9)(4x+9)
x=9/4 or x=-9/4

What is the length of a phone call that would cost the same no matter what company is used?Company A - 0.35cents plus 0.3cents per minute
Company B - 0.45cents plus 0.2cents per minute

Answers

Answer: The length of phone call is 1 minute that would cost the same for both the companies.

Step-by-step explanation:

Since we have given that

Company A - 0.35cents plus 0.3cents per minute

Company B - 0.45cents plus 0.2cents per minute

Let the number of minute be x.

So, our equation for company A would be

$0.35+0.3x$

our equation for company B would be

$0.45+0.2x$

According to question, length of phone call that would cost the same.

so, our equation becomes

$0.35+0.3x=0.45+0.2x\n\n0.3x-0.2x=0.45-0.35\n\n0.1x=0.10\n\nx=(0.10)/(0.1)\n\nx=1$

Hence, the length of phone call is 1 minute that would cost the same for both the companies.

company A- 0.35cents plus 0.3cents per minute.

Could someone help me????

Answers

You set up the equation by adding all sides together. Then set the equation equal to 102 since that is the total perimeter. To solve for the variable, (a) you first want to combine like terms. (That is where the picture starts)

Answer:

The longest side length is 31.764705882352941

Step-by-step explanation:

Add up all the sides and then make it equal to 102

To get perimeter you add up all the sides

(12a) + (6a + 8) + (6a + 8) + (10a - 4) = 102

(18a +8) + (16a + 4) = 102

34a + 12 = 102

- 12 - 12

34a = 90

$(34a)/(34) = (90)/(34)$