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vodka [1.7K]
2 years ago
7

Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles. What tiles need to be added to both sides to remove the smaller x

-coefficient? What tiles need to be added to both sides to remove the constant from the right side of the equation?
Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

miss Akunina [59]2 years ago
6 0

Answer:

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) Adding -4 on both sides will remove the constant from the right side of the equation

Step-by-step explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation

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Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
1 year ago
Towns p,q and s are shown Q is 35km due east of P Snis 15km due west of p r is 15km due south of p work out the bearing of r fro
AnnyKZ [126]

Answer:

Step-by-step explanation:

Check attachment for diagram

From the diagram, we can apply Pythagoras theorem to right angle triangle RPS

Then,

Tan θ = opposite / adjacent

Tan θ = 15 / 15

Tan θ = 1

θ = arcTan(1)

θ = 45°

The angle is between the east and south

Then, the bearing of 45°S of east.

The direction is also β

Where

β + θ = 360°

β + 45 = 360°

β = 360 - 45

β = 315°

6 0
2 years ago
Three-fourths of the difference of a number and 7 is negative fifteen. The number is _______​
Vsevolod [243]

Answer:

x = -13

Step-by-step explanation:

Let the number be x. ATQ,

\dfrac{3}{4}(x-7)=-15

The above equation shows Three-fourths of the difference of a number and 7 is negative fifteen. We need to find the number.

cross multiplying both sides,

3(x-7)=-60\\\\x-7=-20\\\\x=-20+7\\\\x=-13

So, the number is -13.

4 0
2 years ago
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Solve for r
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What is the measure of RVE?<br> А. 45°<br> В. 60°<br> ) С. 750<br> OD. 309
icang [17]
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