Write two expressions that have a GCF of 8xy

The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the

Serga [27]

Answer: B

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m

kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

8 0

2 years ago

Charlie has the utility function u(xa, xb) =xaxb.his indifference curve passing through 32 applesand 8 bananas will also pass th

natka813 [3]

<span>On an indifference curve, all bundles give the same amount of utility. (32,8) gives a utility of U(32,8)=32x8=256 If (4,y) is on the same indifference curve, then it must give the same utility. Hence, 256 = 4y y=64 64 bananas</span>

4 0

2 years ago

Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c

Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = $2\pi r(r+h)$ where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = $2(3.14)(3.3)(3.3+10)$ $=275.63\ \text{ sq. cm}$

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = $\pi r^2h$

$=(3.14)(3.3)^2(10)$

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0

2 years ago

The gravitational force between Pluto and Charon is 3.61 × 1018 N. Pluto has a mass of 1.3 × 1022 kg, which is only slightly gre

Alinara [238K]

Gravitational force:
F = G * m1 * m2 / r²
And gravitational constant: G = 6.67 * 10^(-11) m³/kgs²
Therefore:
r = sqrt ( G * m1 * m2 / F ) =
= sqrt ( 6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N ) =
= sqrt ( 3.84 * 10^(14) ) = 1.96 * 10^(7) m ≈ 2 * 10^(7) m
Answer:
A ) 2.0 * 10^(7) m

8 0

2 years ago