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3 years ago

The standard size of a rectangular placemat is 14 inches by 16 inches. How much fabric is needed to make 6 standard placemats?

Mathematics

2 answers:

lara31 [8.8K]3 years ago

8 0

Answer:

D. 1,344 in^2

Step-by-step explanation:

The area of the standard placemats is 84 in^2. To make 6 we need to multiply that by 6. 84 in^2*6 is 1,344 in^2. Please rate brainliest. It would really help!

deff fn [24]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

The standard size of the rectangular placemat is 14 inches by 16 inches.

So fabric needed to make a placemat = Length × Width

= 14 × 16

= 224 inch²

Now for 6 placemats fabric required = 6 × 224

= 1344 inch²

Option D is the answer.

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A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

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Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

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After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

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3 years ago

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had

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Answer:

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Step-by-step explanation:

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