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tekilochka [14]
3 years ago
12

A store is having a sale on walnuts and chocolate chips. For 9 pounds of walnuts and 7 pounds of chocolate chips, the total cost

is $42. For 3 pounds of walnuts
and 5 pounds of chocolate chips, the total cost is $24. Find the cost for each pound of walnuts and each pound of chocolate chips.

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

Answer:

Walnuts = $1.75 per pound

Choc chips = $3.75 per pound

Step-by-step explanation:

In photo, is working out.

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-8, 1, 10...<br> n<br> What is a formula for the ninth term of the given sequence
krek1111 [17]

9514 1404 393

Answer:

  a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

  an = -8 +9(n -1) . . . . formula for the n-th term

__

Then the formula for the 9th term is ...

  a9 = -8 +9(9 -1)

6 0
3 years ago
the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by t
dexar [7]

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

3 0
3 years ago
The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14
maksim [4K]
-.0002x²+26x-120,000

hope this helped ;)
4 0
3 years ago
Order these numbers from least to greatest.
lara [203]
7 9/11 = 7.81 with a line over the 81 because it is repeating
15/720 = 0.020
7.58
7.812

least to greatest : 15/720, 7.58 , 7.812 , 7 9/11
7 0
3 years ago
Read 2 more answers
A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias  = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}

If you divide both you can get the growth rate:

\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000

7 0
3 years ago
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