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3 years ago

A rectangle has a perimeter of 110 inches. The rectangle' s length is five more than twice the width.

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

Answer:

Length is 38 $\frac{1}{3}$ inches

Width is 16 $\frac{2}{3}$ inches

Step-by-step explanation:

Let the width be x inches

The length will be 2x + 5 inches

The perimeter is 110 inches

Perimeter is given by (2 × length) + (2 × width)

2(2x + 5) + 2x = 110 inches

4x + 10 + 2x = 110 inches

6x = 100 inches

x (width) = 100/6 = 16 $\frac{2}{3}$ inches

Length = 2(100/6) + 5 = 38 $\frac{1}{3}$ inches.

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What is the simplest form of 4 square root 81x^8y^5?

olasank [31]

Firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two.
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Okay I have approx 14 mins to answer.
No panic
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3 years ago

Which term of the Ap: 3,8,13,18.......is 78?

Alex Ar [27]

Answer:

$\bold{a_{16}=78}$

Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$

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3 years ago

In 2001 the mint indoor pool vault record was 20 and 1/6 the women’s record for the indoor pool vault was 15 and 5/12 FT what is

blondinia [14]

Answer:

35 and 7/12 feet is the combined height of the two records.

Step-by-step explanation:

Height of the indoor pool vault record for men = 20 and 1/6 ft = $\frac{121}{6} ft$

Height of indoor pool vault record for women = 15and 5/12 ft = $\frac{185}{12} ft$

The combined height of the two records :

$\frac{121}{6} ft+\frac{185}{12} ft$

$\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft$

$\frac{242}{12} ft+\frac{185}{12} ft$

$\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}$

35 and 7/12 feet is the combined height of the two records.

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3 years ago

Why is the simplified value of the expression below? -8*(-3)

kirill115 [55]

When you multiply two numbers which have the same sign the answer is positive. Therefore multiply eight and three to get 24 and the answer is positive; therefor the answers 24.

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3 years ago

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 k

nadya68 [22]

Answer:

6 kg

Step-by-step explanation:

Given is weight of an object directly varies with the mass of the object .

Let the constant of proportionality be k

So,

Weight = K×(mass of the object)

For an object , weight = 45 N

mass = 9 kg

So , 45 = K×9

K = 5.

Now, for the other object ,

Weight = 30 N. K = 5 (as obtained above)

So, 30 = 5×(mass of the object)

mass of the object = 6 kg.

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4 years ago