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3 years ago

9

Carly used 15 centimeters of tape to wrap 3 presents. How many presents did Carly wrap if she used 45 centimeters of tape? Assum

e the relationship is directly proportional.

1 answer:

Nataly_w [17]3 years ago

8 0

Answer: 9 Presents

Explanation: 15/3 = 45/x.
Cross Multiply: 15x= (45)(3)
Simplify: x= 9

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A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. Th

Nikolay [14]

Answer:

8x + 12y < 240

Step-by-step explanation:

If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).

Then, to find the total number of hours they dye them in, add the terms together.

8x + 12y

The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).

8x + 12y < 240

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3 years ago

Simplify the ratio 24:120

Vaselesa [24]

24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

$24:120 / 24:24 = \\ 1:5$

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3 years ago

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3 divided into 99 equals what

ELEN [110]

3/99 = 1/33
So 3 ÷ 99 = 1/33 = 0.030303030303, or 33%

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3 years ago

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

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3 years ago

For a giveaway, a local radio station is putting together goodie bags. The bags include tickets and posters. Each bag will recei

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36 goodie bags can be created in total because there are only 36 posters.

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