20 1 0 3 0 1 0 0 0 1 B          = 

A building casts a shadow that is 36 feet long. At the same time of day, a nearby 9-foot tall tree casts a shadow that is 4 feet

ANTONII [103]

Answer:

16 feet is the correct answer to this problem.

5 0

3 years ago

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and

Alika [10]

Answer:

3 spoons were sold last April

Step-by-step explanation:

Let x represent the total number of forks that they made last month.

Let y represent the total number of spoons that they made last month.

It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x

It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.

Total cost of making x forks and y spoons is 1.7x + 1.3y

Last April Molly's Custom Kitchen Supplies spent $37.90. This means that

1.7x + 1.3y = 37.90 - - - - - - - - - - 1

The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x

The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.

Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

5 0

3 years ago

Please help with #28 I’m really struggling to figure this answer out!

Ket [755]

Answer:

cant help you i dont one suck

4 0

3 years ago

A warehouse charges its customers $4 per day for every 10 cubic feet of space used for storage. The figure records the storage u

ikadub [295]

Figure 1 is the original figure, while figure 2 is modified, so that a triangle and a rectangle can be easily observed.

The area of triangle and rectangle represents the total number of cubic feet of storage multiply by the number of days of storage usage.

Hence

Total Area = Area of triangle + Area of rectangle

= 30 x 10,000 + ½ 30 x (30,000 – 10,000)

= 300,000 + 300,000

= 600,000

As 10 cubic feet of storage cost $5 for a day, so total amount company have to pay

= (5 x 600,000) / 10 = $300,000

8 0

4 years ago

In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece

Sloan [31]

Answer:

The system is:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

Step-by-step explanation:

The variables of your equations are:

$m=\text{number of marines}$

$u=\text{number of upgrades}$

The constraints, which become inequalities are:

1. The total cost cannot be greater than 1,000 gold

Cost of training m number of marines at 50 gold a piece:

$50m$

Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

$200u$

Total cost:

$50m+200u$

The cost is limited to 1,000 gold that you are given:

$50m+200u\leq 1,000$

That is the first inequality of your system

2. The game allows a maximum of three upgrades:

This sets an upper bound for the variable:

$u\leq 3$

Add the reasonable constraint that the number of upgrades cannot no be negative:

$u\geq 0$

3. You know that you need at least ten marines trained to survive

This sets a lower bound for the variable:

$m\geq 10$

And those are all the four inequalities that form your system to describe the number of marines and the number of upgrades you can train/purchae in the game:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

3 0

3 years ago

20 1 0 30 1 00 0 1B       =