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Galina-37 [17]
3 years ago
13

What is answer to -14r-19=303

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
-14r = 303 + 19
-14r = 322
r = -322/14

r = -23

\boxed{\huge{\sf{r=-23}}}
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Anon25 [30]

3rd - 25 is the 3rd term in the sequence

4 0
3 years ago
Find the 7th term of the arithmetic sequence 5x + 9, 8x + 5, 11x + 1,...
ohaa [14]

Answer:

<h2>           \bold{a_7=33x-15}</h2>

Step-by-step explanation:

In arithmetic sequence:  a₂ - a₁ = a₃ - a₂     {common difference}

a_1=5x+9\\a_2=8x+5\\a_3=11x+1\\\\\\d=8x+5-(5x+9)=8x+5-5x-9=3x-4\\\\a_n=a_1+d(n-1)\\\\a_7=5x+9+(3x-4)\cdot6\\\\a_7=5x+9+18x-24\\\\a_7=33x-15

4 0
3 years ago
Last weekend,Mandy collected 4 times as many shells as Cameron.Together how many shells did Mandy collect?write an equation and
shutvik [7]

Answer:

4x=y

Step-by-step explanation:

Mandy collects 4 times the amount that Cameron has, so Cameron's amount x 4 = Mandy's amount

6 0
3 years ago
Subtract 8x + 2 from 4x – 6
Fantom [35]

Answer:

-4x-8

Step-by-step explanation:

First, set them up as (4x-6) - (8x +2).

Then simplify.

4x-6-8x-2

4x-8x-6-2

-4x-8

7 0
3 years ago
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
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