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viva [34]
3 years ago
6

A company packs boxes at a constant rate of 3/4 of a box every of a box every

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

1  1/2 boxes per minute

Step-by-step explanation:

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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *
S_A_V [24]

Answer:$.55

Step-by-step explanation:

An important thing to know is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

3 0
3 years ago
Read 2 more answers
How do you solve this !!??(x+y+2)(y+1)
Elena-2011 [213]

Answer:

Step-by-step explanation:

(x+y+2)(y+1)

Opening the brackets

xy + x + y^2 + y +2y +2

y^2 +xy + 3y + x +2

6 0
2 years ago
Nathan plants equal sized squares of sod in his front yard. Each square has an area of 6 square feet.Nathan plants a total of 1,
Neko [114]
I THINK the answer is 6000 square feet because each one is 6 square feet and you have 1000 of them so 6 square feet times 1000 squares is 6000 square feet.
7 0
3 years ago
Suppose f(x)=x^2 and g(x)=(1/3x)^2 which statement comepare the graph of f(x) to the graph of g(x)
statuscvo [17]

Answer: c

Step-by-step explanation:

8 0
3 years ago
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