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3 years ago

Solve for x: 3x − 5 = 2x 6

Mathematics

1 answer:

romanna [79]3 years ago

8 0

3x - 5 = 2x - 6
3x - 2x = -6 + 5
x = -1

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2 years ago

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3 years ago

3/4 x 3 2/5 - 5/5(find the value of each of the following)

Triss [41]

The value of the given expression is $\frac{-13}{20}.$

Solution:

Given expression is $\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}$ .

Let us first convert mixed fraction into improper fraction.

$3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}$

Substitute this in the given expression.

$\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}$

$=\frac{21}{60}-\frac{5}{5}$

To simplify the above expression, 21 and 60 are cancelled by 3.

$=\frac{7}{20}-\frac{1}{1}$

Do cross multiplication to make the denominator same.

$=\frac{7}{20}-\frac{20}{20}$

$=\frac{7-20}{20}$

$=\frac{-13}{20}$

The value of the given expression is $\frac{-13}{20}.$

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3 years ago

A baker bought a total of 12 pounds of apples and bananas for $10.20.

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3 years ago

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two

natka813 [3]

Answer:

Let the larger number = y and the smaller number = x.

The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,

y = 2x - 10

The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,

x + y = 38

Since y = 2x - 10, we rewrite the lower equation as:

x + (2x - 10) = 38

Solving:

3x - 10 = 38

3x = 48

x = 16

The lesser number is 16 and the greater number is 2(16) - 10 or 22.

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3 years ago