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zysi [14]
3 years ago
13

Solve the following equation. 6x−15=4x+55 6 x − 15 = 4 x + 55

Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

x = 35

Step-by-step explanation:

Solve for x:

6 x - 15 = 4 x + 55

Hint: | Move terms with x to the left hand side.

Subtract 4 x from both sides:

(6 x - 4 x) - 15 = (4 x - 4 x) + 55

Hint: | Combine like terms in 6 x - 4 x.

6 x - 4 x = 2 x:

2 x - 15 = (4 x - 4 x) + 55

Hint: | Look for the difference of two identical terms.

4 x - 4 x = 0:

2 x - 15 = 55

Hint: | Isolate terms with x to the left hand side.

Add 15 to both sides:

2 x + (15 - 15) = 15 + 55

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

2 x = 55 + 15

Hint: | Evaluate 55 + 15.

55 + 15 = 70:

2 x = 70

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 70 by 2:

(2 x)/2 = 70/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 70/2

Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.

The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:

Answer: x = 35

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Hello,

Which expression is equivalent to this one?

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4 0
3 years ago
A slot machine has 3 slots. For each slot, the possible outcomes are an apple, orange, lemon, banana, melon, and a joker. When t
PolarNik [594]

Answer:

1. 15

2. 75

Step-by-step explanation:

The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.

1. You could win with 2 jokers in

5+5+5=15 different ways.

You can list all these ways:

JJA    JAJ   AJJ

JJO   JOJ   OJJ

JJL     JLJ    LJJ

JJB    JBJ    BJJ

JJM   JMJ    MJJ

2. You could win with 1 joker in

5\cdot 5+5\cdot 5+5\cdot 5=75different ways

You can list all these ways:

JAA    JAO   JAL   JAB   JAM

JOA    JOO   JOL   JOB   JOM

JLA     JLO    JLL    JLB    JLM

JBA    JBO    JBL    JBB   JBM

JMA    JMO   JML   JMB   JMM

AJA     AJO   AJL   AJB   AJM

OJA    OJO   OJL   OJB   OJM

LJA     LJO    LJL    LJB    LJM

BJA    BJO    BJL    BJB   BJM

MJA    MJO   MJL   MJB   MJM

AAJ    AOJ    ALJ    ABJ   AMJ

OAJ    OOJ   OLJ   OBJ   OMJ

LAJ     LOJ     LLJ    LBJ    LMJ

BAJ    BOJ     BLJ    BBJ   BMJ

MAJ    MOJ   MLJ   MBJ   MMJ

6 0
3 years ago
A customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12. Another customer bought 3 boxes of popcorn and
Alex_Xolod [135]

Answer:

Box of Popcorn: $3.00

Drink: $2.00

Step-by-step explanation:

If we input the prices into the original problem it would be something like this, (2)3.00 + (3)2.00 = $12.00 (3+3 = 6 and 2 + 2 + 2 = 6 6+6= 12) Or 2x + 3x = $12

And you would do the same thing for the second one.

(3)3.00 + (5)2.00 = $19.00 ( 3 + 3 + 3 = 9 and 2 + 2 + 2 + 2 +2 = 10 10+9= 19) Or 3x + 5x = $19

Sorry if it's incorrect but i hope it helps!

3 0
3 years ago
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sergey [27]
Can’t help with that sorry
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The dot plots show the ages of players on two soccer
Stells [14]

Answer:

if your talking about the eagles then its B. and D.

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Step-by-step explanation:

6 0
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