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3 years ago

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A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1 2/3 pounds. The weight o

f the wheat bagels is 2 5/6 pounds. The total weight of three types of bagel is 5 pounds. What is the weight of the sesame bagels?

2 answers:

Delicious77 [7]3 years ago

8 0

1/6
i think this is the answer

faltersainse [42]3 years ago

8 0

The sesame bagels weigh 3/6 or a half of a pounds

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Express the ratio 7 days to 6 weeks as a decimal fraction

Mashcka [7]

Answer:

0.166

Step-by-step explanation:

We know that,

1 week = 7 days

i.e.

6 week = 7(6) days = 42 days

We need to express ratio 7 days to 6 weeks as a decimal fraction. So,

$R=\dfrac{7\ \text{days}}{42\ \text{days}}=\dfrac{1}{6}\\\\=0.166$

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valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

L = length = x+5
W = width = x+4
H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

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3 years ago

(60)x = 1, what are the possible values of x? Explain your answer.

Gnesinka [82]

Answer:

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Step-by-step explanation:

Problem:

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Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

60x = 1

To solve this, we take the multiplicative inverse of 60;

the multiplicative inverse of 60 = $\frac{1}{60}$

Use this inverse to multiply both sides of the expression;

$\frac{1}{60}$ $x$ 60x = 1 x $\frac{1}{60}$

x = $\frac{1}{60}$

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Vitek1552 [10]

Answer:

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