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butalik [34]
3 years ago
10

A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 12-inch pieces can t

he dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

60

Step-by-step explanation:

because 12 inches is one foot so there’s 6 feet per 6 feet of ribbon and there’s 10 of these ribbons so 6 times 10 is 60

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72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
The seventh grade choir sold pizzas as a fundraiser. The choir teacher created the graph below for the students.
frez [133]

Answer:

C

Step-by-step explanation:

We are trying to find the profit for every pizza sold. Since looking at the x axis, the point in which its x coordinate is 1 cannot be easily identified. Thus, we shall derive the answer using a point that can be easily identified.

We observe that the two points, (10,12) and (20,24) sits nicely on the graph. I will be using the first coordinate above to derive the answer.

For every 10 pizzas sold, $12 of profit is made.

10 pizzas ----- $12 profit

1 pizza ----- $12 ÷10= $1.20

Hence, the unit rate of profit for the pizzas is $1.20 per pizza.

3 0
3 years ago
Find the equivalent exponential expression. [(-4)^5]^3
Sunny_sXe [5.5K]

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

4 0
1 year ago
What property 14•1=14
Nady [450]

Answer:

Identity property of multipication

Step-by-step explanation:

8 0
3 years ago
What are the factors of 96
MAVERICK [17]
The factors of 96 are 3,5,7
4 0
3 years ago
Read 2 more answers
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