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1 year ago

15

Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If

both fabrics cost $5.50 per yard, how many total yards of fabric does she buy?

1 answer:

Gnom [1K]1 year ago

7 0

Answer:

i think you add both fabric prices then divide with 5.50

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Alan has to pay Robin $48, but he has only $36 with him. Alan overdraws the remaining amount from the bank to pay Robin. After p

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I assume his account balance will become negative. With no overdraft fees in the question, then his account balance should be $-12.

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

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1 year ago

Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?

arlik [135]

The correct answer is choice D. If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.

To solve this, use inverse operations.

<span><u>0.3m</u> = <u>12</u>
</span>0.3 0.3
m = 40

It will take Beck 40 minutes.

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1 year ago

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Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in. If the rectangle is rotated about a line through CF, cylinder Y is

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Answer:

1 in. is the answer.

Step-by-step explanation:

Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches

There are two kinds of rotations

1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.

Radius of cylinder Z=6/2= 3 inches

2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.

Radius of cylinder Y= 4/2= 2 inches

Difference in Radii= Radius of cylinder Z - Radius of cylinder Y

= 3 - 2= 1 inches

Diagram shown below of both the cases:

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2 years ago

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Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equa

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Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.

Explanation:

The first equation is,

$10+y=5x+x^2$

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.

The second equation is,

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In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.

Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.

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