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2 years ago

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Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:Computer Store sells DVDs for a day = 110

No. of days the store works = 266

No. of DVDs saled in 266 days = 266 days x 110DVDs

= 29,260 DVDs

Step-by-step explanation:

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A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o

Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

$l = 11 + w$

We know that, the area of rectangle, A = length * width

$A = l*w$

Substituting the values into the equation, we have;

$80 = (11 + w)w$

Expanding the bracket, we have;

$80 = 11w + w^{2}$

$w^{2} + 11w - 80 = 0$

*Solving the quadratic equation by using factorization method*

$w^{2} + 16w - 5w - 80 = 0$

$w(w + 16) - 5(w + 16) = 0$

$(w - 5)(w + 16) = 0$

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

$l = 11 + w$

When w = 5 feet

$l = 11 + 5$

Length, l = 16 feet

When w = - 16 feet

$l = 11 + (-16)$

$l = 11 - 16$

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0

3 years ago

If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

Dima020 [189]

Answer:

B. 100

Step-by-step explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100

7 0

3 years ago

Freezer A measures 1 ft times 1 ft times 5 ft and sells for $300. Freezer B measures 1.5 ft times 1.5 ft times 4 ft and sells f

Sladkaya [172]

Answer:

Freezer A is better option as price per cubic foot is less for Freezer A

Step-by-step explanation:

Data provided in the question:

Measure of Freezer A = 1 ft × 1 ft × 5 ft

Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft

Price of Freezer A = $300

Price of Freezer B = $600

Now,

Volume of Freezer A = 1 ft × 1 ft × 5 ft

= 5 ft³

Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft

= 9 ft³

Now,

Price per cubic foot for Freezer A = $300 ÷ 5 ft³

= $60/ft³

Price per cubic foot for Freezer B = $600 ÷ 9 ft³

= $66.67/ft³

Hence,

Freezer A is better option as price per cubic foot is less for Freezer A

7 0

3 years ago

2 questions, all help is welcomed, I am very desperate yall thanks~!

skad [1K]

The answer for question number 1 is : 2x + 4
and for question number 2 : 10

7 0

3 years ago

What number is 32% of 75?

Elza [17]

What is 32% of 75? Y is 32% of 75. Equation: Y = P% * X. Solving our equation for Y: Y = P% * X. Y = 32% * 75. Converting percent to decimal: p = 32%/100 = 0.32. Y = 0.32 * 75 . Y = 24. Answer is 24.

4 0

3 years ago

Read 2 more answers