In your own words, explain the place value relationship when the same two digits are next to each other in a multi digit number.

Tossing a coin and spinning a spinner with five equal sections, 1-5

LUCKY_DIMON [66]

Answer:

Its gonna be a 50/50 on the coin and 20/100 chance for the spinner

5 0

3 years ago

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The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?

Maurinko [17]

By definition, the volume of a cone is given by:
$V = (1/3) * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
$r = x / 2
$
The height is:
$h = x
$
Substituting values:
$V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)
$
Rewriting:
$V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)$
Answer:
An expression that represents the volume of the cone, in cubic units is:
$V = (1/12) * (\pi) * (x ^ 3)$

3 0

3 years ago

Help needed ASAP it’s geometry

ivanzaharov [21]

Answer:

Step-by-step explanation:

$\tan(29.4^o)=\dfrac{?}{56.8}\\\\\tan(29.4^o)\times56.8=?\\\\?\approx0,563471\times56.8\approx32$

5 0

3 years ago

The admission fee at an amusement park is 20$ for children and 35$ adults. On a certain, day 264 people entered the park, and th

shtirl [24]

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!

4 0

4 years ago

Convert 25% to a decimal.

LekaFEV [45]

Your answer is C.

Hope this helped.

5 0

3 years ago

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