Which number sentences could be used to solve this problem?



Carrie is making 16 goodie bags for her party. She is putting 3 pencils and 2 erasers into each bag. What is the total number of objects she will put into the 16 bags?



Choose exactly two answers that are correct.


A.
2 × 3 × 16 = □

B.
(2 × 16) + (3 × 16) = □

C.
16 × (2 × 3) = □

D.
16 × (2 + 3) = □

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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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

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.

Answer:

62 inches

Step-by-step explanation:

plz mark brainliest

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.

The value of LM = 6.

Let's break down the given transformations for each point:

1. Original point: [tex]\( (x, y) \)[/tex]

2. First transformation: [tex]\( (x+3, y-2) \)[/tex]

3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]

Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].

[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]

Therefore, LM = 6.

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.

The distance from point Q to point R is 12 units.

The given coordinates are Q(-4, 6) and R(8, 6).

We need to find what is the distance from point Q to point R.

The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Now, using the distance formula, we get

Distance=√(8+4)²+(6-6)²

=√144=12 units

Hence, the distance from point Q to point R is 12 units.

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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.

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

Answer:

X=100

Step-by-step explanation:

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.

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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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