what is the volume of a sphere with a radius of "60.5" Ft, Rounded to the nearest tenth of a cubic foot?​

Answer: 4

Step-by-step explanation:

Matthew makes a drink using lemonade and orange juice.

210ml of his drink was lemonade

140ml of his drink was orange juice

Based on the above, we can see that the ratio of lemonade to orange juice is 3:2. 70 is a common factor to 210 and 140. 210/70 = 3 while 140/70 = 2.

Therefore, since Rosie uses 6 litres of lemonade, the amount of orange juice that Rosie use will be:

= 6 × 3/2

= 4

Rosie needs 4 litres of orange juice.

Answer:

D

Step-by-step explanation:

The income is given by:

[tex]y=-0.5x^2+6x+90[/tex]

And the costs are given by:

[tex]y=2.5x+30[/tex]

Where x is the number of units sold, in hundreds, and y is the total dollar amount, in thousands.

We want to find a viable solution for the number of units sold that would cause the income and cost to be the same.

So, we can set the two equations equal to each other and solve for x. Therefore:

[tex]-0.5x^2+6x+90=2.5x+30[/tex]

Subtract 2.5x and 30 from both sides:

[tex]-0.5x^2+3.5x+60=0[/tex]

Remove the decimals and the negative of the leading coefficient by multiply both sides by -2:

[tex]x^2-7x-120=0[/tex]

Factor. We can use -15 and 8. So:

[tex](x-15)(x+8)=0[/tex]

Zero Product Property:

[tex]x=15 \text{ or } x=-8[/tex]

The answer must be positive since we cannot sell negative units.

So, the value of x is:

[tex]x=15\text{ or } 1,500 \text{ units}[/tex]

Then using either equation, the value will be:

[tex]2.5(15)+30=67.5=\$67,500[/tex]

Our answer is D.

Answer:

d. 1,500 units sold and a value of $67,500

Step-by-step explanation:

Answer:

Please include the table below and the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a rational function thus the domain is all real numbers except the values which make zero to denominator

hence x-4=0 ;x=4

the domain of that function is R- {4}

Answer:

Step-by-step explanation: Speed is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]

[tex]v=\frac{90}{5}[/tex]

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3)  [tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{315}{6}[/tex]

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

[tex]t=\frac{d}{v}[/tex]

[tex]t=\frac{210}{90}[/tex]

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

[tex]t=\frac{2000}{4}[/tex]

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

[tex]v=\frac{420}{8.75}[/tex]

v = 560 mph

The average speed is 560 mph.

b) [tex]t=\frac{d}{v}[/tex]

[tex]t=\frac{420}{63}[/tex]

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

Answer: x=95 and y=17

Step-by-step explanation:

X-y=78

6y=7+x

6y-7=x

6y-7-y=78

5y-7=78

5y=85

y=17

x-17=78

x=78+17

x=95

Answer:

x=143

y=25

thus ur two numbers are 143 and 25

Answer and explanation:

1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.

2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.

3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters

4. Zero salt too after bucket leaks

5. Zero salt

Answer:35

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

+hhsbsbbsjahsgsbsnkakwhsgevssv

Answer:

Surface area = 70π cm²

Step-by-step explanation:

Surface area = πr² + πrl

Surface area = (π × 5 × 5) + (π × 5 × 9)

Surface area = (25π) + (45π)

Surface area = 70π cm²

Answer:

mid point={(7-1)/2,(1-5)/2=(3,-2)

Answer:

18 I believe

Step-by-step explanation:

72/4

Answer:

each friend got 18 bows

to find how many bows each friend got;

total ÷ amount of friends=

72÷4 = 18

(to find amount she gave her friends individually;

amount each friend got - amount her mom gave them

= 18-6=12)

Answer:

-18

Step-by-step explanation:

just multiply 9 and -2, and you'll get -18

Answer:

a) Interval containing the corresponding P-value for a two-tailed test is;

0.01  ≤ p-value ≤  0.02

b) Interval containing the corresponding P-value for a right-tailed

test is;

0.005  < p-value <  0.010

Step-by-step explanation:

Given the data in the question;

t = 2.930

df = 10

Test statistics;

Now form the t-distribution table, at df = 10, 2.930 falls between { t=2.764 and t=3.169]

so;

for a two tailed test, corresponding p-value is between: 0.02 and 0.01

For one(right) tailed test, corresponding p-value is between: 0.01 and 0.005

Therefore;

a) Interval containing the corresponding P-value for a two-tailed test is;

0.01  ≤ p-value ≤  0.02

b) Interval containing the corresponding P-value for a right-tailed

test is;

0.005  < p-value <  0.010

Answer:

8 square inches

Step-by-step explanation:

The formula for are is A=wl if we plug our numbers in we have A=4x2=8  In other terms we now know A=8

Answer:

I'm pretty sure it's 400w+5=s

Step-by-step explanation:

400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings

Answer:

multiply 3 by both numbers in the parenthesis (answer is 30)

Step-by-step explanation:

3(4+6) you would do 3*4 and 3*6 so 12 and 18 add them you get 30

Answer:

70% of 300 is 210

Answer:

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

Step-by-step explanation:

From the picture attached,

Coordinates of the vertices of the given triangle,

U → (2, 7)

V → (10. 7)

W → (2, 3)

Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,

P(x, y) → P'(-y, x)

Here point P is the preimage and P' is the image point after rotation.

By this rule,

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

Answer:

2419200 seconds

Step-by-step explanation:

this is the answer to your question

Answer:

Answer is A

Step-by-step explanation:

when u multiply 2789 x 3.875 u will get 10807.375 so now u have to figure out which answer give a greater amount of number than that, when you try the first answer which is 2800 x 4 u will get 11200 which is greater than the original equation

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]

From the given parameters:

[tex]Fixed\ Cost = 9000[/tex]

[tex]Variable\ Cost = 15[/tex]

[tex]Number\ of\ Items = N[/tex]

So, the expression becomes:

[tex]C = 9000 + 15 * N[/tex]

[tex]C = 9000 + 15 N[/tex]

Solving (b): Cost of 250 widgets

In this case:

[tex]N =250[/tex]

Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]

[tex]C = 9000 + 15 * 250[/tex]

[tex]C = 9000 + 3750[/tex]

[tex]C = 12750[/tex]

Answer:

We want to solve:

___ + ___ + ____ = 30

using the numbers:

1, 3, 5, 7, 9, 11, 13, 15.

Now, 30 is an even number.

And the given numbers are all odd.

A random even number is written as:

2*n  (where n is an integer)

A random odd number is written as:

2*k + 1 (where k is an integer)

If we add 3 odd numbers, we get:

(2*k + 1) + (2*c + 1) + (2*j + 1) = 2*(k + c + j) + 3

= 2*(k + c + j + 1) + 1

(k + c + j + 1) is an integer, then we can write this as p

then the sum of 3 odd numbers can be written as:

2*p + 1

This means that the sum of 3 odd numers is always an odd number.

Then we can not find 3 odd numbers such that their sum is equal to 30.

if instead, we could use 4 numbers, like:

___ + ___ + ___ + ___ = 30

Then we could select:

15, 1, 5 and 9.

because:

15 + 1 + 5 + 9 = 15 + (1 + 5) + 9 = 15 + 6 + 9 = 15 + (6 + 9) = 15 + 15  = 30

Answer:

its all sides are equal and diagonal make 90° angle.

so, the answer option c.

Answer:

The amount is $2367.32 and the interest is $1267.32

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64

Answer: 2 cakes.

Step-by-step explanation:

There will be a total number of 6 people at Eli's cake party.

You want that each one of these 6 people to eat at least 1/5 of a cake.

Then you need to make, at least, 6 times 1/5 of a cake.

This is equal to:

6*(1/5) of a cake = 6/5 of a cake.

And we can rewrite this as:

(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.

But you can not bake only 1/5 of a cake, we need whole numbers.

Then we need to round up to the next whole number, which is 2.

This means that you need to bake at least 2 cakes.

Answer:

81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

9 in each team and theres 9 teams in all

9*9=81

Answer:

50$

Step-by-step explanation: