Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

Answer:

x = 4.29 hours

Step-by-step explanation:

Let

x = number of hours

Stock A at 9.00 AM

13.63 + 0.13x

Stock B at 12.00 pm

14.38 - 0.15(x - 3)

in how many hours will the prices of the two stocks be the​ same?

Equate the change in prices of both stock

13.63 + 0.13x = 14.38 - 0.15(x - 3)

13.63 + 0.13x = 14.38 - 0.15x + 0.45

13.63 + 0.13x = 14.83 - 0.15x

13.63 - 14.83 = -0.15x - 0.13x

-1.2 = -0.28x

x = -1.2/-0.28

x = 4.2857142857142

Approximately,

x = 4.29 hours

13. $25/month

14. 36 and 37

Step-by-step explanation:

Let a = monthly rate ($/month)

t = time (months)

k = installation cost

The equation for the cost of the internet service C is

C = at + k

Since C = $685. t = 24 months (2 years) and k = $85, we can solve for a:

at = C - k

or

a = (C - k)/t

= ($685 - $85)/(24 months)

= $25/month

14. Let n = the number

n + 1 = the number after n

Since the sum of two consecutive numbers is 73, we can write the equation as

n + (n + 1) = 73

which simplifies to

2n + 1 = 73

2n = 72

Solving for n, we find that

n = 36

so the other number is 36 + 1 = 37.

Answer For The First Question:

25

Here's why:

Note that the cost corresponds to 2 years of service.  Also, the problem asks for the one-month fee.  Then, a good start would be saying: OK, the cost of 24 months of service was $685, including the installation fee. Since this fee is a one-time cost, not a monthly cost, we need to subtract it from our total cost. Then the cost of the service minus the installation fee could be written as:

24x = 685 - 85

That is 24 months of service, at x cost per month, is equal to 685 minus 85.  

 If you solve this equation, you will find the value of x:

24x = 600  

 x = 600 ÷ 24

 x = 25

The monthly fee is $25. In 2 years you paid 24 times 25, or $600.  Add to this amount the installation fee of $85 and you will arrive at your total cost, which includes the installation fee.

Second Answer:

36 and 37

Here's why:

36+37=73

You can solve this by first dividing 73 by 2.

73/2 = 36.5

Next, take .5 away from one of the 36.5 and give it to the other one. That gives us an answer of 36 and 37.

I hope this helps! If you are confused about anything, let me know :)

Answer:

1/2

Step-by-step explanation:

it is closet to a 1/2

Answer:

39) Opt. A (24)

Step-by-step explanation:

39) 40 - 8(n) where n = 2

=> 40 - 8*2

=> 40 - 16

=> 24 Opt. A

And just for information, the answer you marked for 38th is wrong.

Formula = bh/2

b = 16

h = 12

bh/2 = 16*12/2

        =192/2 = 96

Hope this helps u

Please mark as brainliest

Thank You

Answer:

y = 9

x = 9√2

Step-by-step explanation:

Step-by-step explanation:

tan 45= y/9

1=y/9

cross multiply

y= 9

sin 45=y/x

but y= 9

sin 45 = 9/x

0.7071=9/x

cross multiply

0.7071x= 9

x= 9/0.7071

x= 9√2

Answer:

x=-8

Steps:

Simplify-

−3(−7−x)= x+2/2

Simplify-

−3(−7−x)= 1+ x/2

Multiply both sides by 2-

−6(−7−x)=2+x

Expand-

42+6x=2+x

Subtract 2 from both sides-

42+6x−2=x

Simplify-

6x+40=x

Subtract 6x from both sides-

40=x−6x

Simplify-

40=−5x

Divide-

-40/5=x

Simplify-

-8=x

Switch sides-

x=-8

I believe this is correct, if not let me know and I will fix it.

Answer:

Mean = [tex]\frac{367}{7}[/tex] = 52. 42

Step-by-step explanation:

[tex]Mean = \frac{23 + 48 + 49+ 55+ 57+63+72}{7} = \frac{367}{7}[/tex]

Answer:

52.43

Step-by-step explanation:

hope you understood my handwriting

Answer:

42ft

Step-by-step explanation:

Area = L×B

7 ft × 6ft

=42 ft

Hope this helps you

Answer:

21 cm²

Step-by-step explanation:

Area of triangle is base x height

                                        2

6 x 7 = 42

42/2 = 21

I hope this helps.

Answer:

y ≤0

Step-by-step explanation:

The range is the values that y can take

We see that y can be less than or equal to 0

y ≤0

Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Answer:

Step-by-step explanation:

90+35=exterior angle(sum of two interior opposite angle is equal to the exterior angle formed)

125=exterior angle

Answer:

125

Step-by-step explanation:

all the angles inside the triangle should add to 180:

so 180 - 35 - 90 = 55

then since it asked for exterior it should be:

180 - 55 = 125

because it on a straight line and a straight line is 180 it becomes:

125

I can help with more too

Given:

The number is [tex]\dfrac{5}{9}[/tex].

To find:

The location of the given number on a number line.

Solution:

We have,

[tex]\dfrac{5}{9}[/tex]

Here [tex]0<5<9[/tex], so [tex]0<\dfrac{5}{9}<1[/tex].

Mark 8 equidistant small lines between 0 to 1 on the number line to divide the number line in 9 equal parts. Then, the 5th mark represent the value  [tex]\dfrac{5}{9}[/tex].

The location of number [tex]\dfrac{5}{9}[/tex] on a number line is shown below.

Answer:

He should run 28 minutes.

Step-by-step explanation:

It would be 28 due to it being a pattern! I double checked my answer by looking it up.

Answer:

7 is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

V = 2261.9

Step-by-step explanation:

The formula to find the volume of a cylinder is:

V = pi • r² • h

Answer:

If you learned that you express pi is π: 720π [tex]cm^3[/tex]

If it says pi is 3.14: 2260.8 [tex]cm^3[/tex]

Step-by-step explanation:

oki, so the rule to find the area of a circle is r x r x π

which will be 36π in this situation!

So we multiply the area of the circle by the height next, and get 720π

if we have to say pi is 3.14, the answer should be 2260.8

Answer:

i think its B or D sorry if I'm wrong

Answer:

The rules of dividing integers are similar to the rules of multiplication

The only difference in division is that the quotient may not necessary be an integer. Hence, when dividing two integers with like signs, we divide the numbers without sign and place a positive sign to the result.

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same)

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]

Answer:

2(x_5)

= (2×x)_(2×5)

Step-by-step explanation:

= 2x_10

Answer:

21

Step-by-step explanation:

You got it right.

Part (b)

The scale 1 cm = 2 m means we'll multiply whatever the cm distance is by 2 to get the meter distance in real life.

The shed is 3 cm by 3 cm on paper. It corresponds to 6 meters by 6 meters in real life.

----------

The cement pad is 6 meters by 10 meters in real life because it's originally 3 cm across and 5 cm vertical. We double each dimension as done before, and replace "cm" with "m".

----------

The hot tub is a circle so we don't get an exact measurement here. But we can determine a good estimate. It appears it's 2 cm across and 2 cm vertical. So that corresponds to 4 meters by 4 meters

=========================================

Part (c)

On paper, the distance is 4.5 cm since we count out 4 full squares plus half a square when going a horizontal distance from the cement pad to the pool.

Therefore, the distance in real life is 9 meters

1 cm = 2 m

4.5*(1 cm) = 4.5*(2 m)

4.5 cm = 9 m

==========================================

Part (d)

The flowerbed on paper has sides of 4 cm and 6 cm. Use the pythagorean theorem to find the hypotenuse is approximately 7.21 cm.

Double each dimension, and replace the 'cm' with 'm'

The side lengths of the actual flowerbed is 8 meters, 12 meters, 14.42 meters. That last value being approximate.

Add up the values to get the perimeter: 8+12+14.42 = 34.42

Answer: perimeter = 34.42 meters (approximate)

Answer:

9

Step-by-step explanation:

new formula : (5 - 2) ^2

So 5- 2 equals 3. And 3 to the second power is 9

Step-by-step explanation:

using the formula or so there a²+ b²= c²

so 18² + 80²= 82²

Step-by-step explanation:

A is the 1st term

B is the last term

N is the power of the binomial

n=4 since the greatest power is 4

By finding the 4th root of the 1st and the last term as shown in the attached files

We can find the binomial