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3 years ago

mary can buy 12 oranges at store A for $3.84 and 15 oranges for $5.00 at store B.Which store has the better unit cost?

1 answer:

8 0

Store a is 3.125 per orange
store B is 3 Per orange
So store B has the better unit cost
you get the unit costs by dividing the amount by the prices.

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While on a walk in the country, you pass a field of goats and chickens. After a quick count, you determine there are 38 heads an

Neko [114]

Answer:there are 16 goats and 22 chickens.

Step-by-step explanation:

Let x represent the number of goats in the field.

Let y represent the number if chicken in the field.

After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that

x + y = 38

A goat has four legs. A chicken has 2 legs. It means that

4x + 2y = 108 - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

4(38 - y) + 2y = 108

152 - 4y + 2y = 108

- 4y + 2y = 108 - 152

- 2y = - 44

y = - 44/ - 2

y = 22

x = 38 - y = 38 - 22

x = 16

8 0

3 years ago

What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000

Contact [7]

6 × 1,000 = 6,000

2 × 10 = 20

3 × 1/10 = 3/10 = 0.3

5 × 1/1,000 = 5/1,000 = 0.005

6 × 1,000 + 2 × 10 + 3 × 1/10 + 5 × 1/1,000 = 6,020.305

4 0

4 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table

Maurinko [17]

Answer: -2

Step-by-step explanation:

Because it is

7 0

3 years ago

How to find the arc length (geometry)

andrew11 [14]

Answer:

94.2

Step-by-step explanation:

Arc length is basically circumference.

Circumference formula: 2πr

All we need is the radius.

Radius = r

15 x 2 = 30 (diameter)

Then we are going to multiply by pi.

Arc length = 30π OR 94.2

5 0

2 years ago