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3 years ago

Solve the following equations: 2(3x–1)=9(x–2)–7

Mathematics

2 answers:

Artist 52 [7]3 years ago

7 0

Answer:

23/3 or 7 2/3

Step-by-step explanation:

padilas [110]3 years ago

4 0

Answer:

23/3

Step-by-step explanation:

So we have the equation:

$2(3x-1)=9(x-2)-7$

First, distribute the left:

$6x-2=9(x-2)-7$

Now, distribute the right:

$6x-2=9x-18-7$

Subtract on the right:

$6x-2=9x-25$

Subtract 9x from both sides:

$-3x-2=-25$

Add 2 to both sides:

$-3x=-23$

Divide both sides by 3:

$x=23/3\approx7.67$

And we're done!

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A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each

kherson [118]

Answer:

1335 toys per day.

Step-by-step explanation:

The number of toys produced per day can be modeled by the following function:

$N(t) = N(0) + at$

In which N(0) is the current number and a is the increase.

A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each year.

This means that $N(0) = 950, a = 55$

$N(t) = N(0) + at$

$N(t) = 950 + 55t$

If the company follows through on this plan, how many toys will it be producing per day in 7 years?

This is N(7).

$N(t) = 950 + 55t$

$N(7) = 950 + 55*7 = 1335$

1335 toys per day.

8 0

3 years ago

Answer all part please. I really need this so no random answers. PLEASE ILL GIVE U BRANLIEST . WORTH 100 POINTS AND IF U STEAL M

Amanda [17]

Answer:

$x=44$

m∠1=118°

m∠2=62°

Step-by-step explanation:

Part A: They are supplementary angles, so

$2x+30+62=180$

Simplify like terms,

$2x+92=180$

We subtract 92,

$2x=88$

Divide by 2,

$x=44$

Part B:

$m$ ∠ $1=2x+30$ because ∠2 is vertical to 2x+30.

Plug in 44 for x,

$m$ ∠ $1=2(44)+30$

Simplify,

$m$ ∠ $1=118$

$m$ ∠ $2=62$ ° because it is a vertical angle to the 62° angle.

3 0

3 years ago

Read 2 more answers

Every day the teacher has her class of ten students line up for lunch. how many different ways can the students line up?

vlada-n [284]

That's a question for arrangement, so we have:
$A^{10}_{10}=10*9*8*7*6*5*4*3*2*1=5.4*10^{11}$

6 0

4 years ago

An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is

r-ruslan [8.4K]

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

Let t = no. of hrs to run the Aux pump

The main pump will run 4 hr (7 - 11 pm)

Let the completed job = 1; (an empty Tanker)

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

2.8 hr = 2 + .8(60) = 2 hrs 48 min

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1

6 0

3 years ago

How much heat in kJ is released when nitrogen and hydrogen react as below to form 100.g ammonia heat equals-92.2kj

tresset_1 [31]

100g of ammonia releases 271.18 kJ of heat.

<u>Explanation:</u>

Given:

N₂ reacts with H₂

The reaction is:

2N₂ + 3H₂ → 2NH₃ + 92.2 kJ

According to the balanced reaction:

2 X 17g of ammonia releases 92.2 kJ of heat

34g of ammonia releases 92.2 kJ of heat

100g of ammonia will release = $\frac{92.2}{34} X 100$ kJ of heat

= 271.18 kJ

Therefore, 100g of ammonia releases 271.18 kJ of heat.

8 0

3 years ago