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motikmotik
3 years ago
9

1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2) Solve for x

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

x=19/10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)

(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)

1/5x+0.1+5.24=3/2x+7/10x+1.54

(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)

1/5x+5.34=11/5x+1.54

Step 2: Subtract 11/5x from both sides.

1/5x+5.34−11/5x=11/5x+1.54−11/5x

−2x+5.34=1.54

Step 3: Subtract 5.34 from both sides.

−2x+5.34−5.34=1.54−5.34

−2x=

−19/5

Step 4: Divide both sides by -2.

−2x=−19/5

x= 19/10

Answer:

x= 19/10

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A town’s population went from 35,000 to 42,000 in 3 years. What was the percent of change?
dolphi86 [110]

Answer:

The population changed by 20% in 3 years

Step-by-step explanation:

The percentage change, is given by the following equation;

Percentage \ change = \dfrac{Final \ value - Initial \value }{Initial \ value} \times 100

The given parameters are;

The initial population of the town = 35,000

The final population of the town = 42,000

The percentage change in the population is therefore;

Percentage \ change \ in \ population= \dfrac{42,000 - 35,000 }{35,000} \times 100 = 20 \%

The population changed (increase) by 20% in 3 years.

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3 years ago
Determine which polynomial is a perfect square trinomial. (5 points)
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Step-by-step explanation:

8 0
4 years ago
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Step-by-step explanation:

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8 0
3 years ago
Work out please what is it
lisov135 [29]

Answer:

answer for 1

5 3/4 - 2 1/4 = 7

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Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

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to a improper fraction: 5 3/4 = 5 3

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= 5 · 4 + 3

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To find new numerator:

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Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

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4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

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4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

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= 2 · 7

2 · 2

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For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

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In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

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= 9 13

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≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

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= 21 + 2

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= 23

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To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

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= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

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Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

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For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

4 0
3 years ago
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