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3 years ago

A pound of ground beef costs $5. At this rate, what is the cost of: 3 pounds

Mathematics

1 answer:

Vsevolod [243]3 years ago

6 0

Answer:

$15

Step-by-step explanation:

If one pound of beef costs 5 dollars then three would be 3 x 5 which is 15.

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I think it’s 2(x+7)=3x

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3 years ago

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Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?

Kisachek [45]

Answer:

x = 134

Step-by-step explanation:

Given that,

Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.

We know that,

The sum of interior angles of a hexagon must equal 720 degrees.

So,

119+129+104+139 +95+x = 720

Where

x is the sixth angle

So,

586+x=720

x = 720-586

x = 134

So, the sixth angle is equal to 134.

5 0

3 years ago

Tulio will invest $1,000,000 at 5% annual interest. Determine how much money will Tulio have after 10 years if the interest is

balu736 [363]

Answer:

$1,500,000

Step-by-step explanation:

Given

Principal = $1,000,000

Rate = 5%

Time = 10years

Interest = PRT/100

Interest = 1000000*5*10/100

Interest = 100000*5

Interest = $500,000

Amount after 10years = $1,000,000+ $500,000

Amount after 10years = $1,500,000

5 0

3 years ago

an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a

viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is; $\mathbf{\dfrac{dh}{dt} = \dfrac{-25}{100 \pi} \ \ ft/s}$

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at a time t and r = radius of the cone shaped at a time t

Then the similar triangles ΔOCD and ΔOAB is as follows:

$\dfrac{h}{r}= \dfrac{20}{8}$ ( similar triangle property)

$\dfrac{h}{r}= \dfrac{5}{2}$

$\dfrac{h}{r}= 2.5$

h = 2.5r

$r = \dfrac{h}{2.5}$

The volume of the water in the tank is represented by the equation:

$V = \dfrac{1}{3} \pi r^2 h$

$V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h$

$V = \dfrac{1}{18.75} \pi \ h^3$

The rate of change of the water depth is :

$\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\ \dfrac{dh}{dt}$

Since the water is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

$\dfrac{dv}{dt}= - 4 \ ft^3/sec$

Therefore,

$-4 = \dfrac{\pi r^2}{6.25}\ \dfrac{dh}{dt}$

the rate of change of the water at depth h = 10 ft is:

$-4 = \dfrac{ 100 \ \pi }{6.25}\ \dfrac{dh}{dt}$

$100 \pi \dfrac{dh}{dt} = -4 \times 6.25$

$100 \pi \dfrac{dh}{dt} = -25$

$\dfrac{dh}{dt} = \dfrac{-25}{100 \pi}$

Thus, the rate of change of the water depth when the water depth is 10 ft is; $\mathtt{\dfrac{dh}{dt} = \dfrac{-25}{100 \pi} \ \ ft/s}$

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3 years ago

Easy work! Please click on the photo and do 5. 10. 14. And 16.Also it’s is easy but only for other people not me just for people

horsena [70]

Answer: the 1 is > the one below it is < the one next to it unknown

and the one next to it is > and the last one is =

branliyist please

Step-by-step explanation:

4 0

2 years ago