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timofeeve [1]
2 years ago
7

Simply 3/2 of (1/3+4/7) × 7

Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0

Answer:

19/2

Step-by-step explanation:

PEMDAS

do (1/3+4/7) first

19/21

19/21 x 7 = 19/3

3/2 of 19/3 = 19/2

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This was due yesterday please help​
Marianna [84]

Answer: 2.1925153x10 to the 3rd

Step-by-step explanation: hope it helps

3 0
2 years ago
Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


5 0
3 years ago
Read 2 more answers
Write the equation of the line in fully simplified slope Intercept form.
andre [41]

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

8 0
2 years ago
What is the volume of the composite figure?
Romashka [77]

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism (A= l * w * h) and volume of a triangular prism. A = \frac{1}{2}(b*h)

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 ×  8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

5 0
3 years ago
10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3
Zielflug [23.3K]

Answer:

1.4375

Step-by-step explanation:

\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\

\frac{10 + (6)^{2} /4}{8} \\

\frac{10 + 36 / 4}{8} \\

\frac{46 /4}{8} \\ = \frac{11.5}{8} \\

7 0
2 years ago
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