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3 years ago

Jarod bought 8 yards of ribbon.He needs 200 inches to use to make curtains. How many inches of ribbon does he have?

1 answer:

3 0

He has 288 inches of ribon because first you have to know that 36 inches=1 yard ,so you multiply 36x8 to get your total inches,288 inches of ribbon

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

Collin has 6 yards of fabric he will take 2/3 of a yard fabric how many aprons can he make.

Lena [83]

Answer:

Step-by-step explanation:

2/3 x 2 is 1, 1/3 another will make 2 aprons do that 3 more times and u will run out of fabric and will have 9 aprons

7 0

3 years ago

Read 2 more answers

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i

galben [10]

Answer:

$t \leq 18.67\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03$

The inequality that represented this situation is

$P(1+rt) \leq A$

substitute the values and solve for t

$4,500(1+0.03t) \leq 7,020$

$(0.03t) \leq (7,020/4,500)-1$

$t \leq [(7,020/4,500)-1]/0.03$

$t \leq 18.67\ years$

7 0

3 years ago

The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. Wha

Naya [18.7K]

The answer is b. 15 & 7

8 0

3 years ago

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with g

emmasim [6.3K]

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = $\dfrac{25}{2}=12.5\ ft$

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = $\pi r^2$

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = $(3.14)(12.5)^2=490.625\ \text{ft}^2$

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

4 0

3 years ago