What is the unknown value representing the unit rate

If I mix 53 grams of sugar and 22 grams of salt with 15 grams of water, what will my total mass of the product be? Be sure to in

salantis [7]

Answer:

90 grams

Step-by-step explanation:

53g+22g+15g=90grams

5 0

3 years ago

HELP PLEASE Simplify: -1| 2/3-4| divided by 5/6 -4 -25/9 25/9 4

zloy xaker [14]

Answer:

-4

Step-by-step explanation:

7 0

2 years ago

HELP PLS!!!!!! Select the correct location on the number line.

Elza [17]

Answer:

Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

Step-by-step explanation:

It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.

The volume of the cylinder is

$v = \pi \: r {}^{2} h$

Where, r is radius and h is height of the cylinder.

Substitute r=4, h=4, π=3.14 in the above formula.

$v = (3.14)(4) {}^{2} (4)$

$v = 200.96$

The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

3 0

2 years ago

A cardboard box has a square base and an open top. the four sides are made of wood that costs 2 dollars per square foot, while t

serious [3.7K]

Answer:

$300

Step-by-step explanation:

Let x represent the side length of the square base in feet. Then the height of each side is ...

... h = (50 ft³)/(x ft)² = (50/x²) ft

The cost of the sides of the box is then ...

... (4 sides) × (x ft)(50/x² ft)/side × $2/ft² = $400/x

The cost of the bottom is ...

... (x ft)² × $25/ft² = $25x²

So, the total dollar cost is

... C = 400/x + 25x²

This will be a minimum where its derivative with respect to x is zero.

... 0 = -400/x² +50x

... 400/50 = 8 = x³ . . . . . add 400/x²; multiply by x²/50

... x = ∛8 = 2

For this value of x, the minimum cost is ...

... C = 400/2 + 25·2² = 300

The minimum possible cost is $300.

_____

Comments on the problem

1) Cardboard boxes are usually made of cardboard. They are rarely made of wood and alumninum.

2) The cost of the bottom is half the cost of the sides. When the dimensions are unconstrained, you will find (as here) the cost is shared equally between the bottom and pairs of opposite sides—each being 1/3 the total cost.

4 0

4 years ago

What quadrant is the point (-4,7) in?

Vikentia [17]

Answer:

Quadrant 2

Step-by-step explanation:

Quadrant 1: Positive x and Positive y

Quadrant 2: Negative x and Positive y

Quadrant 3: Negative x and Negative y

Quadrant 4: Positive x and Negative y

For point (-4, 7), we have a Negative x and Positive y so it belongs in Quadrant 2.

3 0

3 years ago