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galina1969 [7]
3 years ago
5

Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden?

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

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4 years ago
The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.
Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3  and 5th = ar^4   where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0
2 years ago
Read 2 more answers
What is the common difference of the arithmetic sequence graphed below?
galben [10]
I think it’s -0.75. The x coordinate represents the term number so y would show the pattern which is -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9. To get to the next number, each term is being decreased by 0.75. Hope this helps :)
3 0
3 years ago
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The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area
8090 [49]
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π

Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span>  is 64π
7 0
3 years ago
A bakery sells 5 apple muffins for every 2 bran muffins.
Hunter-Best [27]

Answer:

Apple\ muffin\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Bran\ muffin\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\15\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\20\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8\\35\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 14

Step-by-step explanation:

For\ 5\ apple\ muffins, bran\ muffin=2\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{number\ of\ bran\ muffin}{number\ of\ apple\ muffin}\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{2}{5}\\\\Bran\ muffin=\frac{2}{5}\times apple\ muffin\\\\When\ apple\ muffin=10\\\\Bran\ muffin=\frac{2}{5}\times 10=4\\\\When\ apple\ muffin=15\\\\Bran\ muffin=\frac{2}{5}\times 15=6\\\\When\ apple\ muffin=20\\\\Bran\ muffin=\frac{2}{5}\times 20=8

When\ apple\ muffin=35\\\\Bran\ muffin=\frac{2}{5}\times 35=14

6 0
3 years ago
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