How many 2-centimeter cubes can fit into a rectangular prism with dimensions 12cmx20cmx4cm?

Answer:

4

Step-by-step explanation:

We need to find the greatest common factor aka (GCF)

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 8: 1, 2, 4, 8

The factor that they all have is 4 so 4 is our answer :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

[tex]\huge\boxed{\bf\: 4 (x + 3) \: and \:  4x + 12 }[/tex]

Step-by-step explanation:

Let the variable be 'x'.

Expression : 4 (x + 3)

On expanding ,

4 (x + 3)

= (4*x) + (4*3)

= 4x + 12 ⟶ equivalent expression to the statement .

[tex]\rule{150pt}{2pt}[/tex]

Answer:

x > 5  should be your solution to the inequality.

Step-by-step explanation:

Your inequality: 14 - 3x < -1

You need to do two-step inequalities which are similar to two-step equations but different since you're using an inequality symbol as opposed to an equal sign.

Steps:

14 - 3x < -1

Subtract 14 from both sides

-3x < -1-14

Solve -1-14

That should be -15

-3x < -15

**You have to switch the inequality due to multiplying negatives rule.

While dealing with inequalities, when multiplying negatives the inequality sign should switch to its opposite.

-3x > -15

x > 5

5 is lesser than x

hope it really helps...!!!

Answer:

6[tex]m^{2}[/tex]

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism,

B = 1/2 h(b1+b2) since B is the area of the base

[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula

which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base

Answer:

$6 tickets:  16; $10 tickets:  45

Step-by-step explanation:

We need a system of equations to find the number of each type of ticket sold.

Thus, we have [tex]x+y=60[/tex], where x = the number of $6 tickets and y = the number of $10 tickets

We also have [tex]6x+10y=540[/tex]

We can use the elimination method to find y:

[tex]x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15[/tex]

Answer: Its 7 Hope im Right!

Step-by-step explanation:

Answer:

the answer for this question is 7

Step-by-step explanation:

do the math

Answer:

0.95

Step-by-step explanation:

The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that the next customer will pay with cash or a credit card, we need to add the number of customers who paid with cash and the number of customers who paid with a credit card, then divide this sum by the total number of customers:

Number of customers who paid with cash or credit card.

= 53 + 2

= 55

Total number of customers

= 53 + 3 + 2

= 58

,

The probability that the next customer will pay with cash or a credit card is:

= 55/58

= 0.95 (rounded to the nearest hundredth)

Thus,

The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

hmmm now this is assuming is 3.1% per year, with a compounding period per week, now there are 52 weeks in a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4200\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=4200\left(1+\frac{0.031}{52}\right)^{52\cdot 5}\implies A=4200\left( \frac{52031}{52000} \right)^{260}\implies A\approx 52775.70[/tex]

The perfect square trinomial will be 16x² + 24xy + 9y². Expression 3 is correct. Ax + By + Cz are trinomials.

A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.

The third expression seems to be the perfect square let's check it.

[tex]\rm 16x^2 + 24xy + 9y^2 \\\\ (4x)^2+ (2 \times 4x + 3y) + (3y)^2 \\\\ (4x + 3y)^2[/tex]

Hence the expression 3 is the perfect square.

To learn more about the trinomials refer to the link;

https://brainly.in/question/8498839

Answer:

∠1, ∠3, ∠5 and ∠7 = 126°

∠2, ∠4, ∠6 and ∠8 = 54°

Step-by-step explanation:

∠3 + ∠4 = 180°

If ∠3 = 126°, ∠4 = 54°

The same applies for ∠1 and ∠2, ∠5 and ∠6, ∠7 and ∠8 respectively.

Therefore,

∠1  = 126°,

∠3 = 126°,

∠5 = 126°, and

∠7 = 126°

∠2 = 54°,

∠4 = 54°,

∠6 = 54°, and

∠8 = 54°

Answer: Please check the picture attached

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

right top one

Step-by-step explanation: just separate the formula

Answer:

a

Step-by-step explanation:

if this is wrong im sorry

Answer:

48

Step-by-step explanation:

you just multiply both numbers by two and then add

Answer:

I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.

Step-by-step explanation:

Graph:

Check y intercept and the differences in both values.

Regular triangle:

Imagine te steps being taken or revers the original steps.

Answer:

y=4x-1

Step-by-step explanation:

1. Create an equation to for b (y-intercept)

y=4x+b

2. Plug in the x and y values from the point (0,-1)

-1=4(0)+b

3. Solve for b

-1 = b

All together the final equation is y=4x-1

Answer:

i think the first one

Step-by-step explanation:

so to do this, you first have to look at what the x means and what the y means

the x means the time

the y means the speed

now we check the graph, from the points (1, 112) and (7, 16) does x decrease? yes it does

so we can cross out all the "increase x "choices, you could choose the answer now, but lets undertstand

when x decreases y also decreases. you can know because when x is 1 y is 112 but when x is 2, y is 96

Answer:

Scale factor is 1:16

Step-by-step explanation:

1.25 x 16 = 20

1.5 x 16 = 24

The image on the wall is 16 times bigger than the image on the slide,
that is why the ratio is 1:16

Answer:

Volume= area of cross section*height

so, volume of prism = A*h

The best choice for given would not expect to pay an excise tax is,the groceries is not expected to pay an excise tax.

Here we have to determine best choice for the given options would not expect to pay an excise tax.

First we have to know that excise tax

Therefore we have,

Excise taxes are taxes that are imposed on various goods, services and activities.

This is because excise taxes are commonly levied on enterprises or goods that are deemed useless or even harmful, such as cigarettes.

Thus, the tax acts as a restraint to people acquiring these goods or services.

Clearly, groceries are important for endurance and are not worthless or dangerous.

Therefore, the groceries is not expected to pay an excise tax.

To learn more about the tax visit:

https://brainly.com/question/25783927

Answer:

I think c

Step-by-step explanation:

At that point, there would be 417 cookies left. At that rate it would take about 31 minutes.

Answer: 18

Step-by-step explanation:

Start by evaluating in the parenthesis

First simplify the exponents

[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]

Now simplify in the parenthesis

[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]

Now multiply

[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]

Answer:

Equivalent ratios of 1:4 include 2:8, 3:12, 4:16, 5:20, etc. Equivalent ratios of 2:4 include 4:8, 6:12, 8:16, 10:20, etc. Equivalent ratios for 2:8 are 4:16, 6:24, 6:32, and 8:40.

Step-by-step explanation:

Hope this answered ur question, unless you mean if the numbers are equivalent ratios which they arent

Answer: 1:4 is equivalent to 2:8 not but equivalent to 2:4

Step-by-step explanation: To create equivalent ratios of a given ratio, simply multiply the two figures by the same number. 2:8 is a two time multiple of 1:4

Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3

For a sphere of radius R, the volume is given by the formula:

[tex]V = (\frac{4}{3})*3.14*R^3[/tex]

In this case, we can see that the diameter is 9 cm, then the radius is half of that:

R = 9cm/2 = 4.5cm

Now that we know the radius, we can replace it on the volume formula to get:

[tex]V = (\frac{4}{3})*3.14*(4.5cm)^3 = 381.51 cm^3[/tex]

If you want to learn more about spheres, you can read:

https://brainly.com/question/10171109