Which expression is equivalent to rootindex 3 startroot startfraction 10 x superscript 5 baseline over 54 x superscript 8 baseline endfraction endroot? assume x not-equals 0.

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:

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%.

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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.

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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: 36

Step-by-step explanation: 6 + 3 = 9.

4 * 9 = 36

Veronica's statement is reasonable because they cost more than $30.

The total amount of sandwiches is $36

Given that:

She buys 1 sandwich for $4

She buys 6 ham sandwiches and 3 cheese sandwiches

To find the total cost for Veronica would be:

6+3 = 9 total sandwiches

4 * 9= 36 total cost of the sandwiches.

Therefore, Veronica's statement is reasonable because they cost more than $30

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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:

54

Step-by-step explanation:

Given

Solving

Finding a₂₄

Answer:

Volume= area of cross section*height

so, volume of prism = A*h

Answer:

48

Step-by-step explanation:

you just multiply both numbers by two and then add

Answer:

18273546

or 81725364

Step-by-step explanation:

assending or disssending order by way

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]

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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:

1:10pm

Step-by-step explanation:

1st, you add all the time needed to make the chili & cook it.

1 hour + 10 minutes + 1 hour + 40 minutes =  2 hours & 50 minutes.

Now you work backwards from 4:00pm.

You go back 2 hours & you would be at 2:00pm

Now you go back another 50 minutes & you would be at 1:10pm

To double check, you can add 2 hours & 50 minutes to 1:10pm & you would get 4:00pm

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]

Answer: B

Step-by-step explanation:

You cannot use what you are trying to prove as a justification.

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.

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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

Answer:

3/15 x 12/14 = 36/210 = 6/35

Step-by-step explanation:

3 + 12 = 15

3/15 = black

12/15 = green

the probability Lila selects the black ribbon first is 12/15

Lila has taken one away so the total now decreases by one to 14

There are 3/14 black ribbons now, and hence the probability that Jessica takes one is 3/14.

Then you just multiply the two together:

3/15 x 12/14 = 36/210 = 6/35

So as a result, The simplified answer is 6/35

Answer:

Domain: [-1, inf)  Range: [2, inf)

Step-by-step explanation:

Facts aboout a square root:  Can never  = be negative.

Thus x + 1 = 0, x = - 1

Domain: [-1, inf)

When (x+1)^1/2 = 0, m(x) = 2

Range: [2, inf)

Answer: The answer and explanation are in the picture!

Step-by-step explanation:

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: Please check the picture attached

Step-by-step explanation:

Subract what she rode already from total:

48-18 = 30

Divide by number of days:

30/4 = 7.5

she will need to ride 7.5 miles per day

Answer:

its B

Step-by-step explanation:

The correct option is A 25-foot ladder is propped against a wall forming an 18-degree angle.  

Trigonometric ratio is used to show the relationship between the sides and angles of a right-angled triangle.

A right-angled triangle is a triangle in which one of the angle is 90 degrees.

Given a 25-foot-long ladder is propped against a wall at an angle of 18° with the wall.

Here, the right-angled triangle ABC with side AB as the hypotenuse

The diagram of the scenario is attached below.

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Answer:

   they wont need to hire someone for nine months.

Charlie will be gone in 6 months, while Dash has 3 more months after til she leaves.

Answer: 18 months

Step-by-step explanation:

If both of them aren't at home, then they hire someone to look after the dog. However, if Charlie is on a trip and Dasha isn't, they don't. So they would need to be at business trips at the same time and that means they will hire someone to look after the dog. So we find the LCM of 6 and 9 which is 18 months.

Answer:

66

Step-by-step explanation:

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:

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:

$3040

Step-by-step explanation:

5*4 = 20

↓

20*72=1440

↓

1440x2=2880

↓

80x2=160

↓

160+2880=3040

Hope this helps! :)