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chubhunter [2.5K]
3 years ago
9

Which expression is equivalent to 9x - 4 + 4x + 5x + 19

Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

18x + 15

Step-by-step explanation:

Combine like terms & simplify the given expression:

9x - 4 + 4x + 5x + 19

(9x + 4x + 5x) - 4 + 19

(13x + 5x) + (19 - 4)

(18x) + 15

18x + 15 is your answer.

~

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A crate containing four identical cartridges weighs 5 kilograms (kg). If the weight of the crate is 600 grams (g), what is the w
mel-nik [20]

Answer: 1100 grams

Step-by-step explanation:

5kg=5000g

5000g-600g=4400g

4400g/4=1100g

8 0
3 years ago
A dress regularly sells for $96. The sale price is $68. Find the percent decrease of the sale price from the regular price. Roun
yuradex [85]

Answer:

29.2 percent decrease

Step-by-step explanation:

the difference between 96 and 68 is 28 bucks

28 is what percent of 96

is over of

x/100 x 28/96

cross multiply=2800/96

divide 2800 by 96 and the answer is 29.1666

4 0
2 years ago
Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.
max2010maxim [7]

Answer:

  (4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

  4x -(2x-2) = 10

  2x +2 = 10 . . . . simplify

  x +1 = 5 . . . . . . .divide by 2

  x = 4 . . . . . . . . . subtract 1

  y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

__

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

  (4x -y) +(y) = (10) +(2x -2)

  4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

  2x = 8 . . . . . . . . . subtract 2x

  x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

  (x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

  (4x -y) +2(y) = (10) +2(2x -2)

  y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

  6 = 2x -2 . . . substitute for y in the second equation

  3 = x - 1 . . . divide by 2

  x = 4 . . . . . add 1

  (x, y) = (4, 6)

3 0
3 years ago
HELP!
Vesna [10]
A(n)=a+(n-1)d
A(40)= -1+(40-1)-4
A(40)= -1+39(-4)
A(40)= -1+(-156)
A(40)= -157
4 0
2 years ago
Complementary and
chubhunter [2.5K]

Answer:

\boxed{\boxed{\sf x=42\°}}

Step-by-step explanation:

Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.

*Two angles with measures that add up to 90° are known as Complementary angles.*

Therefore, m∠PQR+m∠RQS=90°

\sf \angle PQR+\angle RQS=90\°

\sf 48+x=90\°

Subtract 48 from both sides:

\sf 48+x-48=90-48

\sf x=42\°

<u>_______________________________</u>

5 0
2 years ago
Read 2 more answers
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