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Sergio [31]
3 years ago
15

-4x + 3 (2x - 5) = 31 Please help & explain how you got to the answer

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
-4x + 3(2x - 5) = 31          (use distributive property to remove parentheses)
-4x + 6x - 15 = 31            (combine like terms)
2x - 15 = 31                    (add 15 to both sides)
     +15    +15
2x = 46                          (divide both sides by 2)
x = 23
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Elijah and his sister went to the movies. They had 34 altogether and spent 9.50 per ticket. Elijah and his sister bought the sam
Zarrin [17]

Answer:

The Inequality to find the amount of money they spent on snack is 2(9.5+x)\leq 34

Maximum amount each person can spent on snack is 7.5.

Step-by-step explanation:

Given:

Total Money they had = 34

Cost of each ticket = 9.5

Number of persons = 2

Let the cost of snacks bought by each be x.

We need to write inequality and solve for the amount each persons spent on snacks.

Solution:

Now we can say that;

Number of persons multiplied by sum of Cost of each ticket and Cost of each person spent on snack should be less than or equal to Total money they had.

framing in equation form we get;

2(9.5+x)\leq 34

Hence the Inequality to find the amount of money they spent on snack is 2(9.5+x)\leq 34

On Solving the above Inequality we get;

2(9.5+x)\leq 34\\\\19+2x\leq 34

Now By Using Subtracting property of Inequality we will subtract both side by 19 we get;

19+2x-19\leq 34-19\\\\2x\leq 15

No By Division Property of Inequality we will divide both side by 2 we get;

\frac{2x}{2}\leq \frac{15}{2}\\\\x\leq 7.5

Hence maximum amount each person can spent on snack is 7.5.

Interpreting the solution we get;

Now Cost of 1 ticket = $9.5

Number of person = 2

So total cost of ticket = $19

Total money they have = $34

Money left = Total money - total cost of ticket =$34 -$19 = $15

Amount of money left = $15

Now each buys the same snack.

So maximum amount of money each can spent on snack = $7.5

5 0
3 years ago
What is the ratio of8 girls to 7 boys in a class?
VladimirAG [237]
Ratio is: 8:7
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How to classify triangles by its side
Arisa [49]

Answer:  If all three sides have the same length then it is an equilateral triangle, if only two sides have the same length then it is an isosceles triangle and if there are no sides that have the same length then it is a scalene triangle.

Step-by-step explanation:

7 0
3 years ago
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Please help me with this problem
Nataly [62]
6 gallons per minute
8 0
4 years ago
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Consider the matrix shown below:
velikii [3]

Answer:

A)\ \ \ \ \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Step-by-step explanation:

Given the matrix: \left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right],  it's inverse is calculated using the formula:

\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]^{-1}=\frac{1}{det\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] }\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]

#Therefore, we calculate as;

\frac{1}{det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] }\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\\#det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] =1\\\\\\\\=\frac{1}{1}\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\=\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Hence, the inverse of the matrix is \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

8 0
3 years ago
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