each of the 17 gorillas at the nature preserve eats 45 pounds a food a day. write an expression that models the amount of food all of the gorillas eat in a day. then evaluate the expression to find how much food they eat

Answer:

Step-by-step explanation:

radius r of iron ball r=12/2=6 cm

volume of iron ball=4/3  πr³

=4/3π×6³

=288 π cm³

≈288×3.14

=904.32 cm³

density=7.89gm /cm³(unit not mentioned)

mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg

288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)

Answer:

For a green and a blue  P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green  P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,

[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]

There are 11 counters in a bag. In which,

Sid takes at random two counters from the bag. Probability that Sid takes green counter is,

[tex]P(A)=\dfrac{8}{11}[/tex]

The probability that Sid takes blue counter is,

[tex]P(A)=\dfrac{3}{11}[/tex]

The probability that Sid takes one counter of each color is,

[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]

Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

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Answer:

880 feet per hour.

Step-by-step explanation:

26 inches to foot = 2.2

9 seconds to hour =  0.0025

2.2/0.0025 = 880 feet per hour.

If you need any more help please let me know and i will make a video for you.

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Answer:

function

Step-by-step explanation:

To be a function, each value of the x-coordinate can be used only once. In other words, all x-coordinates must be different.

Here, the x-coordinates are all different, so it is a function.

Answer:

1x

Step-by-step explanation:

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

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Answer:

Your answer is 8250

Step-by-step explanation:

STEPS:

7500 x (1+0.1)

7500x1.1 = 8250

Hope this helped :)

Answer:

Step-by-step explanation:

these are two different questions .

first i solve first

position of submarine= -250/3 meters below see level

height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m

new location=-250/3+(-100)=-650/3 below see level.

2nd question

position of submarine=-250 2/3=-752/3 m below see level

height descended=120 5/8=965/8 m =-965/8 m below see level

new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.

Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

Answer: (4*4) + (2*5)

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:

Answer: 21120 feet.

Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.

The distance travelled by sound in 20 seconds is 21120 feet.

In unit time the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 720 miles per hour.

According to given condition,

1 hour = 720 miles

Since, 1 hour = 60 minutes

60 minutes = 720 miles

1 minute = 12 miles.

1 minute = 60 seconds

60 second = 12 miles

1 second = 12 / 60  = 1/5 miles

20 second = 20 / 5 = 4 miles

According to given condition,

1 mile = 5280 feet

Therefore,

20 second = 5280 x 4 = 21120 feet

The distance travelled in 20 seconds is 21120 feet.

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Answer:

-2

Step-by-step explanation:

the formula for finding slope using points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). using this with the points (0,3) and (1,1) gets us (1-3)/(1-0) = -2/1 = -2. so the slope is -2

Answer:

-2

Step-by-step explanation:

The slope of a line is defined as the difference in y, divided by the difference in x. [tex]m= \frac{\Delta y}{\Delta x} =\frac{3-1}{0-1} = \frac2{-1} = -2[/tex]

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Answer:

Step-by-step explanation:

Area of a circle = πr², plug in r= 3, we get:

                      A = π(3)²

                      A = 9π  or 28.26 in³(if the π is calulate as 3.14)

Step-by-step explanation:

5x+3x-14=180

8x-14=180

8x=180+14

8x=174

x=174/8

x= 21.75°

if x is 21.75°, then 5x is 108.75°

which means 3x-14 is 51.25°

therefore, f +108.75+51.25=180

f = 180-160

f=20°

Answer:

6 mm²

Step-by-step explanation:

1/2 x 3 x 4 = Area of triangle

=> 2 x 3 = Area of triangle

=> 6 mm² = Area of triangle.

Hoped this helped.

Answer:

It's 15

Step-by-step explanation:

Answer:

10x50=

Step-by-step explanation:

10

x50

_____

00

+5 00

_____

500

first times the one times everything then carry a zero for the second number

them times the tens place by everything

then add them

Answer: divide 2

Step-by-step explanation:

Answer:

c 31b4

Step-by-step explanation:

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

Answer:

Yes, the sales tax in their city is an example of regressive tax

Step-by-step explanation:

Firstly, we need to understand what is meant by the term regressive tax.

What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.

Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.

For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%

For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%

We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax

A Group of scientists caught and tagged  porcupines=140 A week later the scientists counted the porcupines=180

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]