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spin [16.1K]
3 years ago
13

Write an algebraic expression that represents each word expression. You want to store an equal number of books on each of the 5

shelves on your bookcase. If you have b books, how many books will be on each shelf?
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer: \dfrac{b}{5}

Step-by-step explanation:

Given: Let b = Total number of books.

Total shelves = 5

Number of books on each shelf = (Total number of books) ÷ (Total shelves)

= b  ÷ 5

=\dfrac{b}{5}

The required expression for the number of books on each shelf = \dfrac{b}{5}

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Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equatio
Aleks [24]

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

5 0
3 years ago
Which expression is the same as 6 times 52?
Blizzard [7]

Answer:

B

Step-by-step explanation:

6 times 50 = 300

6 times 2 = 12

300 + 12 = 312

6 times 52 = 312

4 0
3 years ago
Read 2 more answers
Write in expanded form<br>3<br>(-a)​
MA_775_DIABLO [31]

Answer:

-3a

Step-by-step explanation:

3(-a)

Expand brackets.

3 × -1a

-3a

3 0
3 years ago
Write an inequality using variables x and y whose graph is described by the given information. The points (2,5) and (-3,-5) lie
luda_lava [24]

The inequality using variables x and y which satisfy the points are; y>-3x+3.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the points (2,5) and (-3,-5) lie on the boundary line.

The system of inequality is given by:

y>-3x+3-

Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.

a)  (6, 5)

when x=6 and y= 5

then we have:

y>-3x+3

6 > -3×5 + 3

6>- 15+3

5 > -12

This means that the point will lie in the solution set.

Also, (-2, -3) when x= -2 and y= -3

then we have:

5 > -3×(-2) + 3

5> 6 + 3

5> 9

Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.

Learn more about inequality ;

brainly.com/question/14164153

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8 0
1 year ago
Which expression is equivalent to the following complex fraction?
Sedbober [7]

Answer:

  \dfrac{2(y-2x)}{3y-5x}

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

  \dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}

8 0
3 years ago
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