Which equation shows a correct strategy and product for the expression shown? 0.6x0.9

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0

2 years ago

You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

4 0

2 years ago

Help would be appreciated ( Grade 4 homework )

saul85 [17]

9514 1404 393

Answer:

(B) 4

Step-by-step explanation:

Consider the units column. The only sum of 3 and a single digit that will end in 1 is the sum ...

3 + 8 = 11

This tells you A = 8, so the top number is 1983, and the middle number is B78.

Considering the first two columns, we know that 83 +78 = 161, so there must be a carry of 1 into the third column. That makes it have the sum ...

1 + 9 + B = <something ending in 4>

We know the something cannot be 04 or 24, so must be 14. Then ...

10 + B = 14 ⇒ B = 4

__

So, the whole sum is ...

1983 +478 = 2461

and the letter values are ...

A = 8
B = 4
D = 2

3 0

2 years ago

Read 2 more answers

Can 15x-10 be factored

Anna [14]

Yes because removing the common factor is important. There are a few steps, then you can factor by regrouping. Hope this helps.

6 0

3 years ago

Read 2 more answers

Someone please help!

3241004551 [841]

Answer:

just multiply every number by 2 and it should work out.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which equation shows a correct strategy and product for the expression shown? 0.6x0.9 ​

Which equation shows a correct strategy and product for the expression shown? 0.6x0.9