Without calculating the product is 5 x 6/5 greater or less than 5 and why?

Two stores are having a sale on T-shirts.Rose spends $63 for three T-shirts from store A and one from store B. Manny spends $140

Digiron [165]

Let a and b be store A and store B, respectively. Then:
3a+b=63
5a+4b=140
So
12a+4b=252
5a+4b=140
7a=112
a=16
b=15
☺☺☺☺

7 0

2 years ago

What do you call -6 and 6

Oduvanchick [21]

The first one is negative six and the second one is positive six

5 0

3 years ago

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A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

3 years ago

A publisher estimates the annual demand for a book to be 8000 copies, and built a warehouse to accommodate at most 8000 copies.

Illusion [34]

Answer: $1000

Step-by-step explanation:

Annual demand (D) = 8000

Cost per order (S) = $1000

Cost per unit to print = $8 per book

Storage cost = $2 per book per year

The minimum total cost can be found thus :

√(2 × D × S) / storage cost * cost per unit

√(2 × 8000 × 1000) / (2 * 8)

√ (16,000,000 / 16

√ (1,000,000

= 1000

Hence , minimum total cost $1000

8 0

3 years ago

Anna spends her entire allowance one month. she spends 1/2 on new clothes, 1/6 on food, 1/9 on movies and 2/9 on music. how much

BabaBlast [244]

Answer:

b. 7/18.

Step-by-step explanation:

That would be 1/2 - 1/9

= 9/18 - 2/18

= 7/18.

8 0

3 years ago

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