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3 years ago

A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:

Mathematics

2 answers:

mafiozo [28]3 years ago

4 0

Answer:i think its 100

Step-by-step explanation:

Semenov [28]3 years ago

3 0

Answer:

it goes 1.25 km per minute

Step-by-step explanation:

7.5 divided by 6=1.25

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Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin

Georgia [21]

Answer:

$\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}$

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

$\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}$

Into an augmented matrix:

$\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}$

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

$\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}$

8 0

1 year ago

The diameter of a circle is 3 centimeters. What is the circumference?

Wewaii [24]

Answer:

9.42

Step-by-step explanation:

6 0

3 years ago

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount

nata0808 [166]

Answer:

Step-by-step explanation:

Given

Volume of box $V=32,000 cm^3$

Let b be the square base and h be the height of box

Volume $V=b^2\cdot h$

$h=\frac{V}{b^2}$

Surface Area $A=b^2+4bh$

$A=b^2+4b\times \frac{V}{b^2}$

$A=b^2+4\frac{V}{b}$

Differentiate A w.r.t b to get maxima/minima

$\frac{\mathrm{d} A}{\mathrm{d} b}=2b-\frac{4\times V}{b^2}$

$2b-\frac{4\times V}{b^2}=0$

$b^3=\frac{4V}{2}$

$b^3=\frac{4\times 32,000}{2}$

$b=40 cm$

$[tex]h=\frac{32,000}{40\times 40}$

$h=20 cm$

4 0

3 years ago

HomePride manufactures solid oak racks for displaying baseball equipment and karate belts. They usually sell six times as many b

noname [10]

Answer: B. because if you multiply 6 by 2,000 you get 12,000 which makes it the only possible answer. cause in the question it says it sells 6 times as many baseball rack then karate racks

Hope this Helps :D

6 0

3 years ago

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)

lisabon 2012 [21]

Part A: m< -6

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Part B: a < 25

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Part C: x < 16

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Part D: p > 8

3 0

3 years ago