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mihalych1998 [28]

3 years ago

10

A bag of grass seed weight 1/7 of a gram. That was enough to cover 1/6 of the lawn. How many grams of seed do they need to cover

the entire lawn?

1 answer:

lapo4ka [179]3 years ago

7 0

The seed covered 1/6 of the lawn. To cover the entire lawn (6/6) we need 6 times as much seed.

(1/7 gram seed) * 6 = 6/7 gram seed

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

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the answer is the second graph (b) ^^

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3 years ago

Consider triangle ABC.

shusha [124]

Give me a second to get the answer and I’ll text you back

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3 years ago

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Which of the following is the equation of a line that is perpendicular to the graph of y=2/5x-1

monitta

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2 years ago

Niki donated 4 5/8 pounds of beans to the food drive and Annie donated 3 2/3 pounds of beans to the food drive. Together, how mu

meriva

Answer:

8 7/24

Step-by-step explanation:

These are mixed fractions first you need to convert them

4 5/8= 37/8

3 2/3= 11/3

Take LCM of 3 and 8 which 24.

Multiply 37/8 with 3= 111/24

Multiply 11/3 with 8= 88/24

Now add both fractions

111/24 +88/24 =199/24

This is an improper fraction. Divide 199 by 24 to change this into mixed fraction

8 7/24

5 0

3 years ago

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