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xenn [34]
3 years ago
9

Simplify: 3(2x+7)-2(x+5)

Mathematics
2 answers:
pishuonlain [190]3 years ago
8 0
6x+21 -2x+10
4x 31
7.75=x
MAXImum [283]3 years ago
6 0

Answer:

4x + 11

Step-by-step explanation:

3(2x + 7) - 2(x+5)

*use distributive property to multiply what's in the parentheses by what's outside of the parentheses*

6x + 21 - 2x - 10

*combine like terms*

6x + 11 -2x

4x + 11

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A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
2 years ago
What is 4(x−2)=3(2y−1) in standard form?
exis [7]

Answer: 4x-6y=5

Step-by-step explanation: Using the formula, Ax+By=C, write the equation in standard form.

Hope this helps you out! ☺

8 0
3 years ago
Each month, Molly budgets $1450 for fixed expenses, $600 for living expenses, and $340 for annual expenses. Her annual net incom
den301095 [7]

Answer:

surplus of 150$

Step-by-step explanation:

1853.68 + 178.  times .249  = ......................owed at the end of the month

1450 +600 + 340 = $2390. * 12=  $28 680. annually ..

30480 - 28680 = $1800. surplus at the end of the year  divided by 12 =  $150.00 monthly surplus

4 0
3 years ago
Read 2 more answers
On a workday, the average decibel level of a busy street is 70 db, with 100 cars passing a given point every minute. if the numb
nignag [31]
70dB is represented by 100cars in 60sec. Therefore if the number of cats is reduced by 3/4 in the same amount of time(60s), then the decibel level will reduce by 3/4 also. So 70dB * .25= 17.5dB
4 0
3 years ago
Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule
MAVERICK [17]

9514 1404 393

Answer:

  (a)  (4, 8)

Step-by-step explanation:

Apply the transformation rule to the coordinates of point H.

  (x, y) → (x +8, y +5)

  H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)

4 0
3 years ago
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