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astraxan [27]
3 years ago
15

Tasha says that the expression 6.8w-4.7 can be simplified as 2.1w. Her teacher explains that this is not correct. What mistake d

id Tasha make
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer: She combined unlike terms.

Step-by-step explanation:

You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)

6.8w-4.7 is in its simplest form.

To be able to subtract these, 4.7 must have a ''w'' variable as follows;

6.8w-4.7w=2.1w

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Coefficient of x^2 in expansion of (x+2)^5
iVinArrow [24]
The x² term will be C(5,2)x²·2³ = 80x².

The coefficient is 80.

_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10
8 0
3 years ago
Does anyone know how to solve |4x+3|-9<5
elixir [45]

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

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

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

6 0
3 years ago
Which shows a correct order to solve this story problem?
Nesterboy [21]
Answer is C

3.2 oz + 4.7oz = 7.9 oz * 4 = 31.6oz total
6 0
3 years ago
Answer: <br> -7(k+9)=9(k-5)-14k
pav-90 [236]
-7(k+9)=9(k-5)-14k
-7k-63=(9k-45)-14k
-7k-63=-5k-45
-7k=-5k+18
-2k=18
k=-9
7 0
3 years ago
Determine the sum of the parts 1 3/8 +2/3=
Mumz [18]

2 1/24

Rewriting our equation with parts separated

2/3+1+3/8

Solving the fraction parts

2/3+3/8=?

Find the LCD of 2/3 and 3/8 and rewrite to solve with the equivalent fractions.

LCD = 24

16/24+9/24=25/24

Simplifying the fraction part, 25/24,

25/24=1 1/24

Combining the whole and fraction parts

1+1+1/24=2 1/24

5 0
3 years ago
Read 2 more answers
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