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3 years ago

Take 4a-3b+2c from 2a-3b+4c

Mathematics

2 answers:

valkas [14]3 years ago

7 0

Answer:

2a-6b+6c

Step-by-step explanation:

Combine like terms

Amiraneli [1.4K]3 years ago

4 0

Answer: -2a + 2c

Step-by-step explanation:

The situation is saying that subtract 4a-3b+2c from 2a-3b+4c.

(2a-3b+4c) - (4a - 3b +2c) Subtract by terms

-2a + 2c

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The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

3 years ago

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and

mamaluj [8]

I believe the correct mean is 21!

6 0

3 years ago

Read 2 more answers

Math Help!!!!!!!

White raven [17]

<h2>Answers and Explanation</h2>

(a) Betty’s expression:

Cost of guest = 10 × x + 10 × x + 10 × x

= 10x + 10x + 10x

cost of the venue = 80

Total cost = 10x + 10x + 10x + 80

(b) Dawnie’s expression:

Cost of the location = $80

Number of guests = x + x + x

Cost of all guests = $10(x + x + x)

Total cost = 10(x + x + x) + 80

(c) Joan’s expression:

Cost of the location = 80

Cost of guest = 10 × x + 10 × x + 10 × x

= 10x + 10x + 10x

= x(10 + 10 + 10) ⇒ After factoring out x.

Total cost = x(10 + 10 + 10) + 80

8 0

3 years ago

Which of the following is the logical conclusion to the conditional statements

kykrilka [37]

Answer:

Step-by-step explanation:

3 0

3 years ago

Jose is starting a word-processing business out of his home. He plans to charge $15 per hour. He anticipates his monthly expense

MAVERICK [17]

Answer:

Step-by-step explanation:

profit = revenue - expenses

revenue = $15 per hour = $15 * number of hours (n) = $15 * n

expenses = $490 + $45 + $65 = $600

we want profit to be 600 or more

15 * n - 600 = profit

profit ≥ 600

15 * n - 600 ≥ 600

add 600 to both sides to isolate the variable and its coefficient

15 * n ≥ 1200

divide both sides by 15 to isolate the variable

n ≥ 80

Jose must therefore work 80 or more hours, for a minimum of 80

4 0

2 years ago