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3 years ago

The number 312 lies between the perfect cubes

Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

Answer:

bottom is correct.

Step-by-step explanation:

dusya [7]3 years ago

3 0

Answer:

The number 312 lies between the perfect cubes 216 and 343.

So the cube root of 312 lies between the number 6 and 7.

This means that the cube root of 312 is an irrational number because it is not a perfect cube root.

Step-by-step explanation:

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**EZ 35 POINTS**

VLD [36.1K]

Kent can paint the room 1/5
luannda can paint the room 1/3
(3+5) (5*3) = 8/15 or 0.53 th of the room together but just for kent would be 1/5

6 0

3 years ago

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a dia

Marina86 [1]

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = $\frac{Diameter}{2}=\frac{3in}{2}=1.5in$

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = $\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}$

Number of soda cans are in a pack = $\frac{423.9in^3}{42.39in^3}$

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

8 0

3 years ago

In the decimal number 147.529, the 5 is in the <br> place.

laiz [17]

Answer:

the TENTHS place

Step-by-step explanation:

hundreds tens ones.tenths hundredths thousandths

5 0

3 years ago

Read 2 more answers

Can someone please help, will give the brainiest.

Studentka2010 [4]

Answer:

Step-by-step explanation:

As it is supposed to be linear, we just subtract two adjacent months to find the difference.

$13,849.60 - $13,610.81 = $238.79 which will be her monthly payment (Q 14)

December's balance is $13,610.81 - $238.79 = $13,372.02 (Q13)

At the end of September, her first payment, her balance was

$13,849.60 + $238.79 = $14,088.39 and her original purchase price was

$14,088.39 + $238.79 = $14,327.18

so an equation for the current balance B at any month m is

B = (-$238.79)m + $14,327.18

We verify this by testing for February

B = (-$238.79)6 + $14,327.18 = $12,894.44 which checks out

It will take 14327.18 / 238.79 = 60 months to pay it off or 5 years (Q 15)

5 0

3 years ago

Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240

Alisiya [41]

Let's call the length of the rectangular fence $l$ and the width of the rectangular fence $w$ .

Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

$A = lw$

$P = 2l + 2w$

Now, let's substitute in the values we are given in the problem:

$240 = lw$

$68 = 2l + 2w$

Now, let's solve the system using substitution.

$240 = lw \Rightarrow \dfrac{240}{w} = l$

Solve for $l$ from the first equation

$68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w$

Substitute this value into the second equation

$68 = \dfrac{480}{w} + 2w$

Simplify

$68w = 480 + 2w^2$

Multiply both sides of the equation by $w$

$2w^2 - 68w + 480 = 0$

Subtract $68w$ from both sides of the equation

$(2w - 48)(w - 10) = 0$

Factor

$2w - 48 = 0$ and $w - 10 = 0$

Use the Zero Product Property and solve both factors

$2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24$

$w - 10 = 0 \Rightarrow w = 10$

We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

$w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10$

$w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24$

Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0

3 years ago