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2 years ago

9

In new Jersey, the highest elevation is 1,803 feet blow sea level and the lowest elevation is -2 below sea level. What is the di

fference in elevations

1 answer:

Svetllana [295]2 years ago

3 0

1,805 feet because if you subtract -2 from 1,803, 1,803 - (-2) is a double negative so it would turn into 1,803 + 2

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A cube has a lateral area of 676 square feet.<br> What is the side length of the cube?

sp2606 [1]

Answer:

13 ft.

Step-by-step explanation:

Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.

It can be seen seen from the attached figure as well.

Each face in a cube is a square. And each side in the cube is equal.

So, Lateral surface area is nothing but 4 $\times$ area of a square.

And we know that area of a square = $side^{2}$ .

Hence, Lateral surface area = $4 \times side^{2}$

As per question:

$4 \times side^{2}$ = 676

$side^2 = 169 \\\Rightarrow side = 13$

Hence, side length of cube = 13 feet.

7 0

3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 16 miles per hou

Verizon [17]

We'll use variables to represent the speeds of the eastbound and westbound trains.

x will represent the speed of the eastbound train.
y will represent the speed of the westbound train.

The eastbound train is 16 mph faster than the westbound train. An equation can be made from this:

$x - y = 16$

Subtraction is used, because it represents the difference in distances between the two trains if they travel the same direction.

After 4 hours, the trains are 800 miles apart. An equation can be made from this:

$4x + 4y = 800$

Addition is used, because the trains are heading in opposite directions, which means their distances from the starting point are added together.

Set the two equations up vertically:

$x - y = 16$
$4x + 4y = 800$

We will use elimination to solve for x.

Multiply the entire first equation by 4 so that the coefficients for y will be opposite numbers:

$(x - y = 16) \times 4 = 4x - 4y = 64$

$4x - 4y = 64$
$4x + 4y = 800$

Combine the two equations together to cancel out y:

$8x = 864$

Divide both sides by 8 to get x by itself:

$x = 108$

The speed of the eastbound train is 108 mph.

5 0

3 years ago

Express 96 as the product of prime factors<br>need it asap<br>plzz write the method too

Murrr4er [49]

Given:

The given number is:

$96$

To find:

The product of prime factors of given number.

Solution:

We have,

$96$

The prime factors of given number are:

<u>2 | 96</u>

<u>2 | 48</u>

<u>2 | 24</u>

<u>2 | 12</u>

<u>2 | 6</u>

<u>3 | 3</u>

| 1

So, 96 can be written as:

$96=2\times 2\times 2\times 2\times 2\times 3$

Therefore, the 96 as the product of prime factors is $96=2\times 2\times 2\times 2\times 2\times 3$ .

3 0

2 years ago

A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

AnnyKZ [126]

Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
=$0.182

7 0

3 years ago

Read 2 more answers

Find the circumference and the area of a circle with diameter 2 cm.

ivolga24 [154]

Answer:

$c = 6.28cm$

$area \: = 3.14 {cm}^{2}$

Step-by-step explanation:

$circumferece \\ = 2\pi \: r \\ = 2 \times 3.14 \times 1 \\ = 6.28cm$

$area = \pi {r}^{2} \\ = \pi \times 1 \times 1 \\ = 3.14 {cm}^{2}$

3 0

2 years ago