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Stels [109]
3 years ago
13

Which is the simplified version of 7x+12+3x=-6(x-7)+9x ?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

x=30/7

Step-by-step explanation:

7x+12+3x=-6(x-7)+9x

10x+12=-6x+42+9x

10x+12=3x+42

10x-3x+12=42

7x+12=42

7x=42-12

7x=30

x=30/7

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Wite a numerical expression for the below problems. Simplify the expressions.
ziro4ka [17]

Answer:

1) 9

2) 34

Step-by-step explanation:

For the first one, it would be

= (6×3)/2

= 18/2

= 9

The second one is,

= 36- (12/6)

= 36 - 2

= 34

4 0
2 years ago
One evening, 2/3 of Mrs. Thorne's, students watched a reality television show. Mrs. Lombardo's students, 4/5 watched the same re
attashe74 [19]
Mrs.Lombardo.<span>if you do the math out, 4/5 and 2/3 give you an LCD (Least Common Denominator) of 15, so this means 4/5 = 12/15, and 2/3 = 10/15. 4/5 is greater than 2/3. </span>
6 0
3 years ago
What is If a rectangular prism has a length, width, and height of centimeter, centimeter, and centimeter, respectively, then the
USPshnik [31]

Answer:

The volume is 105/512 cubic inches

Step-by-step explanation:

Given [Missing from the question]

L = \frac{3}{8} cm -- Length

W=\frac{5}{8}cm -- Width

H = \frac{7}{8}cm -- Height

Required

Determine the volume.

The volume (V) is calculated as thus:

V = L *W *H

V = \frac{3}{8} cm* \frac{5}{8}cm * \frac{7}{8}cm

V = \frac{3}{8} * \frac{5}{8} * \frac{7}{8}cm^3

V = \frac{3*5*7}{8*8*8}cm^3

V = \frac{105}{512}cm^3

8 0
3 years ago
Calculate the area, with the appropriate number of significant figures, of a rectangular room that is 14.10 m wide by 15.0 m lon
Paladinen [302]
<h3>Answer: Choice A) 212 square meters</h3>

========================================================

Explanation:

14.10 has four sig figs. The 0 at the end is significant. This measurement is accurate to the hundredths place. If the author wrote 14.1, then it would be accurate to the tenths place with three sig figs.

15.0 has three sig figs. The 0 is significant. If they wrote 15 or 15. then we'd be dealing with 2 sig figs instead; however they placed the 0 there to tell the reader "this measurement is accurate to the tenths place"

---------------------

Multiply the values given

14.10*15.0 = 211.5

Round that to three sig figs. We pick the smaller sig fig count to round to since we cannot be certain it is accurate to four sig figs. In a sense, we pick the weakest link and use that to determine rounding when it comes to multiplication and division.

This means 211.5 rounds to 212

6 0
3 years ago
The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic
Talja [164]

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0
3 years ago
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