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BartSMP [9]
2 years ago
8

Question 1

Mathematics
2 answers:
aksik [14]2 years ago
6 0

The number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.

<h3>What is Matrix?</h3>

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, from the given matrix by comparing the equations, we have:

l + 2s = 8    ...........(i)

l - s = 2      .............(ii)

Subtract the second equation from the first, to eliminate l

3s = 6

s = 2

Substitute 2 for s in l - s = 2

l - 2 = 2

Add 2 to both sides

l = 4

Thus, the number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.

Learn more about matrix from:

brainly.com/question/11989522

#SPJ1

olga2289 [7]2 years ago
6 0

The number of ounces of jam that each jar can hold is 4 large jars and 2 small jars

<h3>How to solve for the variables?</h3>

The matrix is given as:

\left[\begin{array}{cc}1&2&1&-1\end{array}\right] \left[\begin{array}{c}l&s\end{array}\right] = \left[\begin{array}{c}8&2\end{array}\right]

Evaluate the product of the matrices

\left[\begin{array}{c}l+ 2s&l -s\end{array}\right]  = \left[\begin{array}{c}8&2\end{array}\right]

By comparing the equations, we have:

l + 2s = 8

l - s = 2

Subtract the second equation from the first, to eliminate l

3s = 6

Divide both sides by 3

s = 2

Substitute 2 for s in l - s = 2

l - 2 = 2

Add 2 to both sides

l = 4

Hence, the number of ounces of jam that each jar can hold is 4 large jars and 2 small jars

Read more about matrix at:

brainly.com/question/11989522

#SPJ1

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What is the measure of the other acute angle ?
Vaselesa [24]

Answer:

62^{o}

Step-by-step explanation:

All the angles in a triangle add up to 180^{o}

Every right angle triangle has a right angle in it which is 90^{o}

So to find the remaining angle, you do 180^{o} - 90^{o} - 28^{o} = 62^{o}

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LekaFEV [45]

Answer:

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4 (x+1 ) + 7(x+3) + 6(y +2) =
Korvikt [17]

Answer:

11x + 6y + 37

Step-by-step explanation:

  • (4)(x) + (4)(1) + (7)(x) + (7)(3) + (6)(y) + (6)(2)
  • 4x + 4 + 7x + 21 + 6y + 12
  • (4x+7x) + (6y) + (4+21+12)
  • 11x + 6y + 37
5 0
3 years ago
The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi
ehidna [41]

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

3x-8=2x+12

Hence, the equation is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

3x-8=2x+12

Subtracting both sides of the equation by 2x, we get;

x-8=12

Adding both sides of the equation by 8, we get;

x=20

Thus, the value of x is 20.

Hence, the equation and the value of x are 3 x-8=2 x+12 \ and\  x=20

Thus, Option D is the correct answer.

6 0
3 years ago
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