Select all the rational numbers.

The volume of the hexagonal prism is the amount of space in the prism

The volume of the hexagonal prism is 325 cubic units

The given parameters are:

Base area = 25 square units

Height = 13 units

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = 25 * 13

Evaluate the product

Volume = 325

Hence, the volume of the hexagonal prism is 325 cubic units

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Answer:

Step-by-step explanation:

I need help

Answer:

3 (if it has to be a whole number)

Step-by-step explanation:

70/18 is approximately 3.89

The number of months that tara can send her payments for the Loan is; 18 months

We are told that;

Tara has to pay $25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

For us to find the number of months she can pay the loan, we will apply the unitary method as;

$25 she can pay in 1 month

The number of months to pay $1 is; 1/25 months

The number of months to pay $450 is; (1/25) * 450 = 18 months.

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Answer:

34

Step-by-step explanation:

I have done this before

Answer:

15

Step-by-step explanation:

Note that;

The sum of the lengths of 2 sides of a triangle must be greater than but not equal to the length of the third side.

As well as, the third side must be longer than the difference between the greater and the lesser of the other two sides

Given;

First side of the triangle  = 17

Second side of the triangle  = 2

Let us assume the third side of the triangle  = T

Now, In any given triangle:

"Sum of any two sides of a triangle is strictly greater than the third side."

⇒ Sum of first side  +  Sum of second side   > Third Side

  or,     m < 2 + 14

  or,     m  <  16

Hence, the largest possible value for m = 15

~Learn with Lenvy~

Answer:

Lashawn

Step-by-step explanation:

333/222=1 1/2part salsa per egg - Lashawn

777/555= 1 2/5 part salsa per egg - Gilberta

1 1/2 is greater than 1 2/5

Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Answer:

ok

Step-by-step explanation:

does it come with the picture??

Answer:

960m²

Step-by-step explanation:

½(12)(8)

=48

48×20

=960m²

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

If the equal is 55x + 35y = 200

x: time-driven at 55 miles/hour

y: time-driven at 35 miles/hour

If the car spends 2.5 hours at 35 miles per hour, then it drove:

 55x + 35(2.5) = 200

    55x =35

       y = 112.5

There the drive spent about 2.5-hour driving at 55 mph.

Hope it helps!

Answer:

♦LCM of 5 and 20 is 20.

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The considered decimal number is expressed by the fraction given by: Option C: 4/33

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]

The series would look like [tex]a+ ar+ ar^2+\cdots[/tex]

For the considered case, the given decimal number is

[tex]0.\overline{12} = 0.121212\cdots[/tex]

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

[tex]0.12121... = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )[/tex]

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
[tex]0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212... = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}[/tex]

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

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Answer:

4/33

Step-by-step explanation:

Option C

Answer:

Median

Step-by-step explanation:

Answer:

78% is the median

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers

The circumference of a circle is its perimeter.

We can solve for the circumference using the following formula:

We're given:

Plug the given information into the formula for circumference:

[tex]C=2\pi r\\C=2\pi (14)\\C=28\pi[/tex]

Therefore, the circumference of the circle is 28π cm.

Replace π with [tex]\dfrac{22}{7}[/tex]:

[tex]C=28\pi\\\\C=28*\dfrac{22}{7}\\\\C=4*22\\C=88[/tex]

Therefore, the circumference of the circle with [tex]\pi=\dfrac{22}7}[/tex] is 88 cm.

Answer: y=-2x-2.5

Step-by-step explanation:

Answer: y=-3x+20

Step-by-step explanation:

45+90+unknown=180

135+u=180

u=45

so that,

x=15

Answer:

Step-by-step explanation:

The ratio of sides of 45 - 45 -90 triangle is

1 : 1 : √2

This is an isosceles triangle. So, the sides opposite to equal angles (45°) are equal.

∵ x = 15

Answer:

Trish is going to return from camp September 3rd, 2022.

Step-by-step explanation:

Okay! note: (There are 31 days in july)

July 15th+10 days=July 25th

July 25+6=July 31st

July 31st+1 day= August 1st

(17 days done so far)

August 1st+30 days=August 31st

(47 days done)

August 31st+1 day=September 1st

September 1st+2 days= September 3rd

I got the answer by breaking up the 50 days into smaller parts and adding them. Make sure you know how many days are in the months so you don't get too confused.

Answer:

Step-by-step explanation:there are 3 reds each so maybe try multipling those into the 12 for the red..it would look like this 6x12=72

and the do the same with the blue 4x6=24

Then we’ll try and add it together 72+24=96

Answer: size and shape

Step-by-step explanation:i got it right on the quiz

The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.

The shape and size of a fugure are preserved after a rigid transformation.

Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

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Answer: 7 marbles are green.

Step-by-step explanation:

      Since we have 12 marbles in total, 12/12 = 1. Since the fractions have denominators of 12 as well, we can easily tell there are 3 yellow marbles (3/12) and there are 2 blue marbles (2/12).

      Lastly, we need to find how many are green. We can subtract the yellow and blue marbles from the total of 12 marbles.

12 - (3 + 2)

12 - (5)

7 marbles are green.

Answer:

Seven marbles are green.

Step-by-step explanation:

you have a total of 12 marbles.

12-3 (yellow) = 9

9-2 (blue)      = 7

3 (yellow) + 2 (blue) = 5

12 (total) - 5 (yellow and blue) = 7

Answer:

0.635 in

Step-by-step explanation:

Divided 2.54 by 4

Answer:

x = -3/2

Step-by-step explanation:

1. Cancel out log from both sides -> 16^n = 1/64

2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)

log16(1/64) = -3/2

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

Divide by 28 on both sides:

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

Answer: The final balance is $81,551.47.

The total compound interest is $43,551.47.

I hope this helps<3

Answer:

Step-by-step explanation:

Answers in the order as shown

34

20

8

55

29

28

50

61

4

60

Answer:

(7+z) - y

Step-by-step explanation: