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Agata [3.3K]
3 years ago
11

A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds

of nutrient a and 2 pounds of nutrient b. Each bag of brand y provides 4 pounds of nutrient a and 1 pound of nutrient b. How many bags of each brand should she buy?
Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

Component of each bag of brand x:

3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

Component of each bag of brand y:

4 pounds of nutrient a and 1 pound of nutrient b

Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden

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The length of a school bus is 12.6 meters. If 9 school buses park end to end with 2 meters between each one, what's the total le
weqwewe [10]

Answer:

129.4

Step-by-step explanation:

Calculation for what's the total length from the front of the first bus to the end of the last

First step is to multiply the given number of buses by the length of each one

Hence,

12.6 meters x 9 = 113.4 meters

Second step

Since there are 8 spaces in between we would multiply the 8 spaces by 2 meters

8 x 2 meters = 16

Now let calculate total length from the front of the first bus to the end of the last

16 + 113.4 meters =129.4

Therefore total length from the front of the first bus to the end of the last will be 129.4

7 0
3 years ago
Please answer the following:
serg [7]
The sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.

now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore

\bf (4x)~+~(3x+15)~~+~~(4x-25)~~+~~(3x+25)~~+~~(2x-3)=540
\\\\\\
16x+12=540\implies 16x=528\implies x=\cfrac{528}{16}\implies x=33
3 0
3 years ago
For which equation is y = 7 a solution?
Natasha2012 [34]

Answer:B

Step-by-step explanation:

y - 26 = -19

y + 26 - 26 = -19 + 26

y=7

4 0
3 years ago
Read 2 more answers
Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)^n − 1.
Kazeer [188]
The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18

when n=4
a4=-54

when n=5
a5=-162

when n=6
a6=-486

when n=7
a7=-1458

when n=8
a8=-4374

thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560

6 0
3 years ago
Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year,
IrinaVladis [17]
Use compound interest formula  F=P(1+i)^n twice, one for each deposit and sum the two results.

For the P=$40,000 deposit,
i=10%/2=5%  (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253

For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6 
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913

Total amount after 6 years
= 71834.253 + 26801.913
=98636.17   (to the nearest cent.)
8 0
3 years ago
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