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elena-s [515]
3 years ago
12

Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.) ​

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0
X = -7, have a good day !
vivado [14]3 years ago
6 0

Answer:

x=−7

Solving for X:

Step 1: Simplify both sides of your equation.

5x−22=7x−8

Step 2: Subtract 7x from both sides.

5x−22−7x=7x−8−7x

−2x−22=−8

Step 3: Add 22 to both sides.

−2x−22+22=−8+22

−2x=14

Step 4: Divide both sides by -2.

-2x/-2 = 14/-2

^ x = -7

THEREFORE:

x is −7

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weeeeeb [17]
Your answers should be B and D

When naming angles, they all need to be connected on the line without overlapping any points previously said. Angle YXZ is incorrect because X is not on the same line as Z. YW is a line because both sides continue on forever, as indicated by the arrows.

Hope this helps!
6 0
3 years ago
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you subs
alekssr [168]

Answer:

x=2y+6

Step-by-step explanation:

So we have the system:

-x+2y=-6\\3x+y=8

If we isolate the x-variable in the first equation:

-x+2y=-6

Subtract 2y from both sides:

-x=-6-2y

Divide both sides by -1:

x=2y+6

Therefore, we would substitute the above into the second equation:

3x+y=8\\3(2y+6)+y=8

The answer is 2y+6

Further notes:

To solve for the system, distribute:

6y+18+y=8

Simplify:

7y+18=8

Subtract:

7y=-10

Divide:

y=-10/7\approx-1.4286

Now, substitute this value back into the isolated equation:

x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429

3 0
3 years ago
Read 2 more answers
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb
larisa86 [58]

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

7 0
3 years ago
2/3 : 1 in its simplest form
slamgirl [31]

Answer:

2 : 3

Step-by-step explanation:

You need to show the ratio using the smallest whole numbers possible.

Multiply both numbers by 3.

2/3 : 1

2/3 × 3 : 1 × 3

2 : 3

5 0
2 years ago
Solve 2cos^2x+5cosx+2=0
Nuetrik [128]
2cos^2x+5cosx+2=0\\
x\in\\
\Delta=b^2-4ac\\
\Delta=9\\
\sqrt{\Delta}=3\\
cosx=1\\
or\\
cosx=-6\\
-6\notin\\

Then using trygonometric table or a graph we read that:
cosx=1\Leftrightarrow(x)=0

Period of cosinus function = 2π
So the last answer is x=0+2k\pi\\
6 0
3 years ago
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