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The volume of the dilated Prism B is about 10 31/32 ft³

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of Prism A is 6 1/2 ft, and The height of Prism B is 3 1/4 ft.

The dilation factor = 3 1/4 ft. ÷ 6 1/2 ft = 0.5

Volume is the product of three sides.

The volume of prism B = Volume of prism A * (dilation factor)³ = 87 3/4 ft³ * (0.5)³ = 10 31/32 ft³

The volume of the dilated Prism B is about 10 31/32 ft³

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Answer:

The answer is [tex]10\frac{2}{25}[/tex].

Step-by-step explanation:

A rotational symmetry implies that the shape remains the same when rotated

Justine's claim is correct

The angle of rotational symmetry is calculated as:

[tex]\theta = \frac{360}n[/tex]

Where n represents the number of sides.

From the complete question, the shape is a regular hexagon.

This means that n = 6.

So, we have:

[tex]\theta = \frac{360}6[/tex]

Divide

[tex]n = 60[/tex]

Other angles of rotational symmetry are:

[tex]n = 60, 120, 180, 240.....[/tex]

120 degrees is part of the list of possible angles of rotational symmetry.

Hence, Justine's claim is correct

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Answer:

Addition → 23

Since 29 is a prime number and does not have least common factors beside itself and 1, there is only addition here, which would be 23 + 6.

Answer:

174

Step-by-step explanation:

If y/6 is 29, we need to do an inverse operation to find Y.

The inverse operation of division is multiplication.

29*6=174

Meaning, we've found y! Y=174

How to check?

174/29=6.

I hope this helped :D

Answer:

360g

Step-by-step explanation:

9 = 540g

divide both sides by 9

1 = 60g

multiply both sides by 6

6 = 360g

Answer:

The answer is 360 g

Step-by-step explanation:

Here, we know that mass of 9 chocolate bars is 540 g

so, for mass of one chocolate bar divide 540 by 9 we get,

540 g ÷ 9 = 60 g

Here, The mass of each chocolate bar is 60 g.

Now, for mass of 6 chocolate bar multiply by 60 by 6 we get,

60 g × 6 = 360 g

Thus, The mass of 6 such chocolate bars is 360 g.

-TheUnknownScientist 72

Answer:

Fraction form:

x = 1/2

Decimal form:

x = 0.5

Graph:

Answer:

x=1/2 or x=0.5

Step-by-step explanation:

4x+1=3

1. subtract 1 from each side

4x=2

2. divide by 4

x=1/2 or x=0.5

Hope this helps have a great day!!!!

The probability of choosing a hot dog is 16.7%

Probability is the likelihood or chance that an event will occur

Probability = Expected outcome/Total outcome

From the figure;

Total outcome = 4 + 6 + 2
Total outcome = 12

Since there are 2 hotdogs, hence the probability of choosing a hot dog is given as:

Pr(hot dog) = 2/12

Pr(hot dog) = 0.1667
Hence the probability of choosing a hot dog is 16.7%

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Answer:

If there are any repeating X values, it is not a function. Therefore, B is a function.

Answer:

10t is the correct answer

The angles that are alternate exterior angles with angle 5 are <3 and <13 and <9

Alternate exterior angles are two angles that are on the exterior of and , but on opposite sides of the transversal

Conversely,  if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

According to the theorem above, we can conclude that the angles that are alternate exterior angles with angle 5 are <3 and <13 and <9

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Answer:

area = 9x12/2 =54

answer is 54cm²

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]7+8=15[/tex]

[tex]15+3=18[/tex]

[tex]18+4=22[/tex]

[tex]22+8=30[/tex]

[tex]30[/tex] ÷ [tex]5[/tex] [tex]=6[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Formula \rightarrow \mathtt{\dfrac{sum\ of\ all\ your\ terms}{total \ number \ you \ have\ in\ your\ data} = mean} }[/tex]

[tex]\textsf{Your equation should look like}\rightarrow\mathtt{\dfrac{7 + 8 + 3 + 4 + 8}{5} = mean}[/tex]

[tex]\textsf{Now let us solve for it}[/tex]

[tex]\mathtt{\dfrac{7 + 8 + 3 + 4 + 8}{5} = mean}[/tex]

[tex]\mathtt{\dfrac{15 + 3 + 4 + 8}{5} = mean}}[/tex]

[tex]\mathtt{\dfrac{22 + 8}{5} = mean}}[/tex]

[tex]\mathtt{\dfrac{30}{5} = mean}}[/tex]

[tex]\mathtt{6 = mean}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The sum of the numbers expressed in scientific notations is given by: Option B:  [tex]6.82 \times 10^{12}[/tex]

The number is written in the form [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

The given expression is:

[tex](3.1 \times 10^5) \times (2.2 \times 10^7)[/tex]

Evaluating the multiplication, we get:

[tex]3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}[/tex]

It is because of exponent rule that [tex]a^b \times a^c = a^{b+c}[/tex], and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B:  [tex]6.82 \times 10^{12}[/tex]

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Answer:

15

Step-by-step explanation:

We will use the Tao function for our use. If there are 4 factors of a number then Tao function has a value of 4.

According to the Tao function, (a1 + 1)(a2 + 1).....(an + 1) = 4. So, by comparison We have two cases.

Case 1: a1 + 1 = 4

So, in that case a1 = 3 and we see there are two cubes less than 50.

Case 2: a1 + 1 = 2, a2 + 1 = 2

So, a1 = 1 and a2 = 1. Thus, it's a pure multiple of linear primes. And we notice there are 13 such numbers.

Answer:

13 cm

Step-by-step explanation:

The triangle perimeter size does not change because all the components rotate and reflect together.

Answer:

Step-by-step explanation:

In similar triangles, corresponding parts are in same ratio.

[tex]\dfrac{h}{40}=\dfrac{5}{8}\\\\\\h=\dfrac{5}{8}*40\\\\\\ = 5*5\\\\h = 25 \ ft[/tex]

Answer:

The answer is 3 5/6

Hope this helps

Answer: 3 5/6

Step-by-step explanation: 2 1/6 = 13/6 since 2 is just 6/6 2 times so 6x2=12 + 1 since its 1/6 so than 13/6+ 1 2/3 or 5/3 = 23/6 numerator becomes 6 since its bigger than 5 now convert it back down to a whole numer/simplifed = 3 5/6

Answer:

A=70

Step-by-step explanation:

[tex]A=\frac{a+b}{2}[/tex]

[tex]h=\frac{6+8}{2} *10[/tex]

[tex]=70[/tex]

Answer: (-14, 18)

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

1/12 turns into 2/24 because they both equal 0.083

3/8 turns into 9/24  because they both equal 0.375

Answer:

3+x=8

subtract 3 from both sides 3-3+x=8-3

so 3-3=0 and8-3 =5

now you have x=5

Answer:

The top left one is a pentagon, the lower left is a quadrilateral, the top right is a rhombus, and the bottom left is a parallelogram.

Step-by-step explanation:

Answer:

From left to right:

pentagon

quadrilateral

rhombus

parallelogram

Step-by-step explanation:

From left to right:

First polygon:

5 sides, pentagon. This pentagon has two sets of congruent sides, but there is no special name for it.

Second polygon:

4 sides, quadrilateral. This quadrilateral has 3 congruent sides, but there is no special name for it.

Third polygon:

4 sides, quadrilateral. All sides are congruent. It is a rhombus. A rhombus is also a parallelogram.

Fourth polygon:

4 sides, quadrilateral. There are two pairs of congruent sides. It is a parallelogram.

Answer:

$35.00

Step-by-step explanation:

Step 1: Multiply 30 by 50.

Step 2: Divide 1500 by 100.

Step 3: Subtract 15 from 50.

Answer:

35 dollars.

Step-by-step explanation:

The easiest way of calculating discount is, in this case to multiply the normal price is $50 by 30 then divide it by 100. So, the discount is equal to $15. To calculate the sales price, simply deduct the discount of $15 from the original price $50 then get $35 as the sales price.

Answer:

16

Step-by-step explanation:

2/8 = x/y (the triangles are similar)

x/y = 1/4

x + y= 1 +4=5

x+y =20

5(a)= 20

a= 4

x=a

y= 4a

so.. x= 4×1=4

y= 4×4=16

Answer:

760660.638388
Rounded: 760660.64

Step-by-step explanation:

You can use an exponential function. that would be a(b)^x or 25000(1.05)^x

From 1945 to 2015 there is a 70-year gap, so you would substitute 70 for x. That would get you 760660.638388, so in 2015, the value of the land would be 760660.64 if you round up.

Answer: $760,660.64

Step-by-step explanation:

Just did the test

Answer:

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

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Answer:

The answer is 15.50x = 124

Step-by-step explanation:

We can substitute x for any number until we get to 124

Have an amazing day!!!

PLEASE RATE AND MARK BRAINLIEST!!!

Lee purchased Tshirts for 15.50 each. The tot bill was $124. When x is the number of T shirts, which equation can be used to find the total number of Tshirts Lee purchased.

15.50=124x

124=15.50/x

x/124=15.50

____________________________

Let the number of T-shirts be x

then,

ATQ,

$15.50x = $124

x = $124/$15.50

x = 8

Hence , Lee purchased 8 Tshirts

_____________________________

Answer:

3/20

Step-by-step explanation:

Given:

Probability that it is Monday and that a student is absent is 3/100

Probability that a randomly selected day of the school week is monday is 1/5

To Find:

What is the probability that a student is absent given that today is Monday.

Solve:

It may be different if it were on a Wednesday. Because we expect fewer absentees on Wednesday than on Monday/ Friday. In these cases the conditional probability, P(absent/weekday) would differ depending on the day of the week.

3/100 ÷ 1/5 = 3/20

The probability that a student is absent on a Monday is 3/20

[RevyBreeze]

Answer:

vertical because adjacent means right next to each other and x=49

Step-by-step explanation: