the ratio of boy to girls in 8th grade is 5 to 3 ,how many girls are there in 8th grade if there are 80 students in 8th grade

The volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively

The formula for calculating the volume of a prism is given as;

V = lwh

l is the length

w is the width

h is the height

1) The volume of the prism is expressed as;

V = 12.1 * 5.3 * 4.2
V = 269.3 cubic centimeters

2) Volume of the triangular based prism = BH

Base area = 1/2(13)(13)sin60
Base area = 84.5(0.8660)
Base area = 73.177 square yard

Height H = 24 yards

Volume of the prism = 24 * 73.177

Volume of the prism = 1756.3 cubic yards

Hence the volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively

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3*0.1 + 4*0.01 + 8*0.001 ? 1.2

Multiply:

0.3 + 0.04 + 0.008 ? 1.2

0.348 < 1.2

One and two tenths is larger

A square is a quadrilateral defined by its properties of equal sides and right angles.

A square is a quadrilateral with four equal sides and four right angles.

Its properties include:

All sides are equal in length

All angles are right angles

The diagonals are equal in length and bisect each other at right angles

Final answer:

Nicole ran 0.5 miles. The expression for Nicole's running distance, starting from your 4 miles run, is (4 / 2^3) or 4 / 8, which simplifies to 0.5 miles.

Explanation:

Expression for Nicole's Running Distance

The expression to find out how far Nicole ran is based on a sequence of halving distances starting from the original distance you ran. You ran 4 miles. Rob ran half as far as you, so Rob ran 4 miles / 2 = 2 miles. Tim ran half as far as Rob, therefore Tim ran 2 miles / 2 = 1 mile. Finally, Nicole ran half as far as Tim. Hence, Nicole ran 1 mile / 2, which is equal to 0.5 miles.

In a form of an expression, the distance Nicole ran can be represented as:

(4 / 2) / 2) / 2

Or simplified to:

(4 / 2^3)

Or,

4 / 8 = 0.5 miles

Answer:

60mph

Step-by-step explanation:

divide 240 by 4 it's easy that's

how I solve these types of questions so keep that in mind.

Answer:

7988.16

Step-by-step explanation:

This is a matter of plugging in numbers.

P = 7000 (starting value)

l = 0.045 (rate)

t = 3 (number of years)

A(t) = 7000(1 + 0.045)^3

A(t) = 7000(1.045)^3

After three years, William will have 7988.16

The amount in William's account after 3 years with compound interest will be $7,988.16. Hence the correct option is B.

The compounded interest formula is:

A(t) = P(1 + i)^t

where P is the principal amount ($7000), i is the interest rate (4.5% or 0.045), and t is the time in years (3).

Calculate the total amount:

A(3) = 7000(1 + 0.045)^3

A(3) = 7000(1.045)^3

A(3) = 7000 * 1.144976125

A(3) = $7,988.16

The probability of spinning a 1 or 2 on a spinner with eight equally sized sections can be calculated using the formula for probability, resulting in a probability of 0.25.

The question asks to find the probability of spinning a 1 or 2 on a spinner with eight equally sized sections, each numbered from 1 to 8. The problem is a straightforward application of the concept of probability in mathematics, which can be calculated by the formula P(E) = Number of favourable outcomes / Total number of outcomes.

In this case, the number of favourable outcomes (spinning a 1 or 2) is 2, and the total number of outcomes is the total number of sections on the spinner, which is 8. Therefore, the probability P(1 or 2) is computed as 2 / 8 = 0.25.

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Time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.

" Time is defined as the duration required to complete something. It is a measurable period with some definite or indefinite action."

According to the question,

Time required to cut a log [tex]=3[/tex] minutes

Length of a given log [tex]=25[/tex] foot

Length of each section to be cut [tex]= 5[/tex] foot

Number of section cut from given log [tex]= \frac{25}{5}[/tex]

                                                               [tex]=5[/tex] logs

As shown in the diagram,

Number of log Bob has to cut to get [tex]5[/tex] logs [tex]= 4[/tex]

Time required to get [tex]5[/tex] logs [tex]= 3\times 4[/tex]

                                              [tex]= 12[/tex] minutes

Hence, time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.

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Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.

Step-by-step explanation:

In the given graph we have  set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis  represents the wrist circumference while  y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

Answer:

X=100

Step-by-step explanation:

The equation can be framed as follows:

Before tax cost *(1+tax rate) = Final cost

Given tax rate = 10% = 0.1

Final cost = $825

Before tax cost *(1+0.1) = 825

Before tax cost * 1.1 = 825

Before tax cost = 825/1.1

Before tax cost = $750

Price of the couch before taxes = $750

Traci's coin-flipping experiment is more likely to yield results farthest from the theoretical probability of 1/2 if she conducts the experiment with only a few flips, due to the law of large numbers.

Traci wants to investigate the probability of landing on heads using a coin-flipping experiment. To find the result furthest from the theoretical probability, Traci should plan an experiment with fewer flips. The law of large numbers implies that as the number of trials increases, the experimental probability will converge closer to the theoretical probability. Hence, if Traci flips the coin only a few times, there's a greater chance that the experimental results will diverge significantly from the expected outcome of 50% heads and 50% tails. On the other hand, flipping the coin many times, such as in Pearson's experiment with 24,000 flips, is likely to yield a result very close to the theoretical probability. This is because individual variations have less impact on the overall outcome as the sample size increases.

Dimensions of bigger box = 4ft x 4ft x 5ft

or, 48 in x 48 in x 60 in     (Because 1 ft = 12 inch)

We know that, volume of a cuboid is:

V = length x breadth x height

Volumeo f big box = 48 x 48 x 60

= 138240 cubic inch.

Edge length of cube shape box = 12 inch

For cube, volume = edge^3

Volume of cube = (12)^3

= 1728 cubic inch

Number of cube shaped box that can fit into big box = Volume of big box / Volume of cube shaped box

= 138240 / 1728

= 80

Hence, correct answer is D-80.

Ebony will pay a total of $24.85 for her meal after adding a 6.25% tax to the original price of $19.82 and then calculating an 18% tip on the resulting amount, which includes the tax.

The student, Ebony, needs to calculate the total cost of a restaurant bill which involves adding tax and a tip. The cost of her meal is $19.82, with a 6.25% tax to be added before calculating an 18% tip.

First, determine the sales tax amount by converting the percent to a decimal:
0.0625 × $19.82 = $1.24.

Add the sales tax to the meal's original cost to find the total before tip:
$19.82 + $1.24 = $21.06.

Next, calculate the tip amount by converting 18% to a decimal and multiplying by the post-tax total:
0.18 × $21.06 = $3.79.

To find the final amount Ebony will pay including the tax and tip, add the tip to the post-tax total:
$21.06 + $3.79 = $24.85.

Ebony will pay $24.85 at the restaurant's register, using either cash or a credit card, to cover her $19.82 meal with tax and tip.

The numerical expression for 'subtract 50 from the sum of 6 and 4 to the tenth power' is written as[tex](6 + 4^{10}) - 50,[/tex] following the order of operations.

To write the statement "subtract 50 from the sum of 6 and 4 to the tenth power" as a numerical expression, you would first calculate 4 to the tenth power, then add 6 to this result, and finally subtract 50 from the total sum.

The expression would look like this:

[tex](6 + 4^{10) - 50[/tex]

It's important to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here, you calculate the exponent before adding 6 and then subtract 50 from the result.