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3 years ago

7

What's the unit rate of 52songs on 4cd's?

1 answer:

Brrunno [24]3 years ago

5 0

13 songs per cd 4/4 and 52/4= 1/13

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A company is designing a new cylindrical water bottle. The volume of the bottle will be 156156 cmcubed3. The height of the water

DaniilM [7]

Answer: the radius is 2.61 cm

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 156 cm³

Height = 7.3 cm

Therefore,

156 = 3.14 × r² × 7.3

156 = 22.922r²

r² = 156/22.922 = 6.81

Taking square root of both sides of the equation, it becomes

r = 2.61 cm

8 0

2 years ago

The base of the pyramid is a square. what is the volume of the pyramid. enter your answer in the box.

Ugo [173]

Answer:

The volume of the pyramid is $672\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid of the figure is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=12\ cm$

$h=14\ cm$ ----> the height must be perpendicular to the base

substitute

$V=\frac{1}{3}(12^{2})(14)=672\ cm^{3}$

7 0

2 years ago

9+a/6=8 need help is

tensa zangetsu [6.8K]

A = -6

order of operations does division first, but you have to know that you must add -1 to 9 in order to get 8. Therefore, you must have a negative number over 6 and it has to be -6 in order for that negative number to be -1

4 0

3 years ago

Read 2 more answers

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

Vicky did a survey to answer the following question: What is the average fitness score of grade 8 students? The mean fitness sco

mario62 [17]

The mean is calculated by adding up all of the data points and then dividing the sum by the amount of points added.

The mean fitness score was 3.2 points. If all of the students scored the same thing (3.2 points) then this would be the fitness score of each student.

Thus, the answer is D. 3.2 points.

3 0

2 years ago