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joja [24]
3 years ago
9

How do I solve 2.75 + 0.003 + 0.158

Mathematics
2 answers:
MakcuM [25]3 years ago
7 0
2.911 somebody call 911 lol hope this helped xD
nikklg [1K]3 years ago
6 0
2.750 + 0.003 + 0.158

= 2.753 + 0.158

<span>= 2.911</span>
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How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
storchak [24]
Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

Row 1, column3: Write 12*a or 12a here. Simply multiply the cost per adult ($12) with the number of adults (a). 
------------------------------------------------------------------------------
Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

Row 2, column2: There are y young adults. Write 'y' here without quotes

Row 2, column3: Write 6y here. Multiply the number of young adults with the price per young adult
------------------------------------------------------------------------------
Now onto row 3

Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

Row 3, column2: We have 'a' adults and 'y' young adults. So a+y people total. This total is 8 as we know a family of 8 had been registered. So we write 8 in this box as well. The two expressions a+y and 8 are equal to each other allowing us to form the first equation a+y = 8

Row 3, column3: The cost for all the adults is 12a dollars. Similarly it costs 6y dollars for just the young adults. Adding up the two subtotals we get 12a+6y as the total cost for everyone. We're told that the family paid a total of $66. So like with the previous box, we can equate the two expressions getting us the second equation to be 12a+6y = 66
------------------------------------------------------------------------------

Again everything is summarized in the image attachment. 

The two equations we pull away from that table are
a+y = 8
12a+6y = 66
which is the system of equations to set up

7 0
3 years ago
a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i
Fittoniya [83]

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

3 0
2 years ago
What is 110y+10=340 for algebra grade 7
algol [13]
<span> 110y+10=340

Subtract 10 from both sides 

110y=330 

Divide by 110 to get variable on its own 

</span>110y/110=330/110

y=3
7 0
3 years ago
Read 2 more answers
Approximate area under the curve f(x) =-x^2+2x+4 from x=0 to x=3 by using summation notation with six rectangles and use the the
bekas [8.4K]

Answer:

Summation notation:

\frac{1}{2}\sum_{k=1}^6f((.5k))

or after using your function part:

\frac{1}{2}\sum_{k=1}^6(-(.5k)^2+2(.5k)+4)

After evaluating you get 11.125 square units.

Step-by-step explanation:

The width of each rectangle is the same so we want to take the distance from x=0 to x=3 and divide by 6 since we want 6 equal base lengths for our rectangles.

The distance between x=0 and x=3 is (3-0)=3.

We want to divide that length of 3 units by 6 which gives a length of a half per each base length.

We are doing right endpoint value so I'm going to stat at x=3. The first rectangle will be drawn to the height of f(3).

The next right endpoint is x=3-1/2=5/2=2.5, and the second rectangle will have a height of f(2.5).

The next will be at x=2.5-.5=2, and the third rectangle will have  a height of f(2).

The fourth rectangle will have a height of f(2-.5)=f(1.5).

The fifth one will have a height of f(1.5-.5)=f(1).

The last one because it is the sixth one will have a height of f(1-.5)=f(.5).

So to find the area of a rectangle you do base*time.

So we just need to evaluate:

\frac{1}{2}f(3)+\frac{1}{2}f(2.5)+\frac{1}{2}f(2)+\frac{1}{2}f(1.5)+\frac{1}{2}f(1)+\frac{1}{2}f(.5)

or by factoring out the 1/2 part:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

To find f(3) replace x in -x^2+2x+4 with 3:

-3^2+2(3)+4

-9+6+4

1

To find f(2.5) replace x in -x^2+2x+4 with 2.5:

-2.5^2+2(2.5)+4

-6.25+5+4

2.75

To find f(2) replace x in -x^2+2x+4 with 2:

-2^2+2(2)+4

-4+4+4

4

To find (1.5) replace x in -x^2+2x+4 with 1.5:

-1.5^2+2(1.5)+4

-2.25+3+4

4.75

To find f(1) replace x in -x^2+2x+4 with 1:

-1^2+2(1)+4

-1+2+4

5

To find f(.5) replace x in -x^2+2x+4 with .5:

-.5^2+2(.5)+4

-.25+1+4

4.75

Now let's add those heights.  After we obtain this sum we multiply by 1/2 and we have our approximate area:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

\frac{1}{2}(1+2.75+4+4.75+5+4.75)

\frac{1}{2}(22.25)

11.125

Okay now if you wanted the summation notation for:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

is it

\frac{1}{2}\sum_{k=1}^{6}(f(.5+.5(k-1)))

or after simplifying a bit:

\frac{1}{2}\sum_{k=1}^6 f((.5+.5k-.5))

\frac{1}{2}\sum_{k=1}^6f((.5k))

If you are wondering how I obtain the .5+.5(k-1):

I realize that 3,2.5,2,1.5,1,.5 is an arithmetic sequence with first term .5 if you the sequence from right to left (instead of left to right) and it is going up by .5 (reading from right to left.)

6 0
3 years ago
an everyday meaning of corresponding is "matching". How can this help you find the corresponding parts of two triangles?
Marta_Voda [28]
Look at the sides of the triangles. find the sides that are corresponding, or matching.
5 0
3 years ago
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