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3 years ago

What is the solution to the equation 3X + 27 = -2x + 18

Mathematics

2 answers:

Stolb23 [73]3 years ago

6 0

Answer:-9/5

Step-by-step explanation:

3x + 27 = -2x + 18

-27 -27

-3x = -2x - 9

+2x +2x

5x = -9

5x/5 = -9/5

x= -9/5

Anna11 [10]3 years ago

5 0

Answer:

-9/5 or -1.8

Step-by-step explanation:

3x+27=-2x+18 add 2x to both side

5x+27=18 minus 27 from both side

5x=-9 divide 5

x=-9/5, in decimal form=-1.8

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The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.

nexus9112 [7]

Answer:

Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Seat 8: Mark

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

Seat 4: Jennie
Seat 5: Harvey

From Rule 2: Peter is across from Harvey.

Since Seat 5 is across from Seat 1

Seat 1: Peter

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

Seat 2: Lia

By Rule 5: Lia is next to Kenny, therefore:

Seat 3: Kenny

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Seat 7: Rick

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Seat 6: Joyce

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

4 0

3 years ago

Sam is 187cm tall how many metres is this?

pishuonlain [190]

187 centimeters is 1.87 meters

8 0

3 years ago

Solution A is an $80\%$ acid solution. Solution B is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must

Irina-Kira [14]

Answer:

(a) $2000\text{ ml}$ (b) $40\text{ ml and }60\text{ ml}$ (c)NO

Step-by-step explanation:

GIVEN: Solution A is an $\$80\%$ acid solution. Solution B is a $\$30\%$ acid solution.

TO FIND: (a) Find the amount of Solution A (in mL) that must be added to $500 \text{ml}$ of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100 \text{ml}$ solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid.

SOLUTION:

(a)

Let total amount of solution A added be $x$

Total amount of mixture $=500+x\text{ ml}$

As resulting solution is $70\%$ acid solution.

Amount of acid in final solution is sum of acid in both solutions

$\frac{70}{100}(500+x)=\frac{80}{100}x+\frac{30}{100}\times500$

$35000+70x=80x+15000$

$x=2000\text{ ml}$

(b)

Let amount of Solution A be $x\text{ ml}$

Amount of solution B $=100-x\text{ ml}$

As resulting solution is $50\%$ acidic solution

Amount of acid in final solution is sum of acid in both solutions

$\frac{50}{100}\times100=\frac{80}{100}x+\frac{30}{100}(100-x)$

$5000=80x+3000-30x$

$50x=2000$

$x=40\text{ ml}$

Amount of solution B $=100-40=60\text{ ml}$

(c)

No as concentration of final solution can not be greater than one with higher concentration.

7 0

4 years ago

(4x+7)(4x+7) um help pls? idk how to math >~<

Alisiya [41]

Answer:

8x+14

Step-by-step explanation:

add the x's together then the other number

3 0

4 years ago

Read 2 more answers

Timmy takes out a loan for $750 for 15 months, but only receives $725 into his bank account. What is the simple interest rate ad

12345 [234]

Answer:

<u>The annual interest rate advertised by the bank is 2.67% or 0.22% per month.</u>

Step-by-step explanation:

Let's evaluate the information given:

Amount of the loan = US$ 750

Duration of the loan = 15 months

Net amount received by Timmy into his bank account = US$ 725

Interests for the loan = Amount of the loan - Net amount received into bank account

Interests for the loan = 750 - 725

Interests for the loan = US$ 25

Now for calculating the interest rate, we do this operation:

Interest rate = Interests for the loan / Amount of the loan

Interest rate = 25/750 = 1/30 = 0.033 * 100 = 3.3%

But let's remember that this is for the total duration of the loan, 15 months. For calculating the annual interest rate, we do the following operation:

Annual interest rate = Loan interest rate/15 * 12 (We use 12 because the year has 12 months)

Annual interest rate = (1/30) /15 * 12

Annual interest rate = (1/30) * 1/15 * 12 = 1/450 * 12 = 12/450 = 4/150 = 2/75 = 0.0267 * 100 = 2.67% (Rounding to two decimals)

<u>The annual interest rate advertised by the bank is 2.67% or 0.22% per month.</u>

5 0

4 years ago

Read 2 more answers