Which linear system of equations does the matrix represent?


I think it's B

36 is least number of each for which this was possible.

The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory.

4 is the LCM of 2 and 4. To get the smallest multiple that is exactly divisible by 2 and 4, i.e. 4, we must first determine the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16).

Given:

Hot dogs cam in pack of 9.

Buns came in pack of 12.

Now, to find least number of each bought the same number of hot dogs as buns.

So, LCM(9, 12)

9= 3x 3

12= 2 x2 x 3

Thus, LCM(9, 12) = 3 x 3 x 2 x 2 = 36

Hence, 36 is least number of each for which this was possible.

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Answer:

give the other person brainly

its A

Step-by-step explanation:

Answer:

1 : 5

Step-by-step explanation:

The triangle is isosceles.

A triangle is a polygon that has three vertices on each of its three sides. The angle that is created within the triangle is 180 degrees. It indicates that the sum of a triangle's interior angles is 180 degrees. This is a polygon with the fewest sides. At the end of the day, a triangle is characterized as a three-sided two-layered figure whose inside points are equivalent to 180°.

Given a triangle let the triangle be ΔABC

given angles (4x + 8), (5x + 2) and (6x - 10)

let ∠A = (4x + 8), ∠B =  (5x + 2) and ∠C  = (6x - 10)

we know that sum of angle of triangle is 180⁰

∠A + ∠B + ∠C = 180

4x + 8 + 5x + 2 + 6x - 10 = 180

15x = 180

x = 180/15 = 12

∠A = 4x + 8 = 4(12) + 8 = 56⁰

∠B = 5x + 2 = 5(12) + 2 = 62⁰

∠C = 6x - 10 = 6(12) - 10 = 62⁰

since ∠B = ∠C

it is the property of an isosceles triangle, An isosceles triangle is a triangle with any two sides that are the same length and angles on opposite sides that are the same size.

Hence the Given triangle is isosceles.

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Answer:  The correct option is (a) [tex]2x^2+3x-5.[/tex]

Step-by-step explanation:  We are given to find the quotient in the following division :

[tex]Q=\dfrac{2x^3-3x^2-14x+15}{x-3}.[/tex]

To find the quotient, first we will try to factorize the numerator and then we will try to divide by the denominator.

We have

[tex]Q\\\\\\=\dfrac{2x^3-3x^2-14x+15}{x-3}\\\\\\=\dfrac{2x(x-3)+3x(x-3)-5(x-3)}{x-3}\\\\\\=\dfrac{(x-3)(2x^2+3x-5)}{(x-3)}\\\\=2x^2+3x-5.[/tex]

Thus, the required coefficient is [tex]2x^2+3x-5.[/tex]

Option (a) is CORRECT.

The solutions to the quadratic equation x² + 5x + 3 = 0 are:

x = (-5 + √13) / 2

x = (-5 - √13) / 2

To solve the quadratic equation x² + 5x + 3 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 1, b = 5, and c = 3. Substituting these values into the quadratic formula, we get:

x = (-5 ± √(5² - 4×1×3)) / (2×1)

Simplifying further:

x = (-5 ± √(25 - 12)) / 2

x = (-5 ± √13) / 2

Therefore, the solutions to the quadratic equation x² + 5x + 3 = 0 are:

x = (-5 + √13) / 2

x = (-5 - √13) / 2

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The conversion of a percentage to a decimal number, divide the percentage by 100 it means that 275% represents 2.75 times the original quantity.

To convert a percentage to a decimal number,

divide the percentage value by 100.

Here's the step-by-step explanation for converting 275% to a decimal:

Take the percentage value (275%) and divide it by 100.

275 ÷ 100 = 2.75

So, 275% as a decimal is 2.75.

It means that 275% is equal to 2.75 times the whole quantity.

For example, if you have 100 dollars and increase it by 275%, you will end up with 100 + (2.75 × 100) = 375 dollars.

Therefore, the 275% as a decimal number is equal to 2.75.

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Answer:

13.57

Step-by-step explanation:

We have been given an equation [tex]v=-1385n+18,790[/tex], which represents the value of a car. We are asked to find the n-intercept of our given equation.

We know that the n-intercept will be at [tex]v=0[/tex].

[tex]0=-1385n+18,790[/tex]

Subtracting 18,790 from both sides of our equation we will get,

[tex]0-18,790=-1385n+18,790-18,790[/tex]

[tex]-18,790=-1385n[/tex]

Now, we will divide both sides of our equation by [tex]-1385[/tex].

[tex]\frac{-18,790}{-1385}=\frac{-1385n}{-1385}[/tex]

[tex]13.566787=n[/tex]

[tex]n\approx 13.57[/tex]

Therefore, the n-intercept of our given graph is approximately 13.57.

The measure of angle m∠3 would be 60°.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Given;

g ∥ h, m∠1 = (4x + 36)°,

m∠2 = (3x – 3)°.

m∠2 = m∠3 ( alternate interoir angle)

we know that

m∠1 + m∠2 = 180

4x + 36 + 3x – 3 = 180

7x + 33 = 180

7x = 147

x = 21

Substituting

m∠2 = 3x – 3

m∠2 = 3(21) - 3

m∠2 = 63 - 3

m∠2= 60

Therefore, m∠3 = m∠2 = 60

Hence, The measure of angle m∠3 would be 60°.

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The number of  each type of bill or coin the wallet contains is:

                                   4

It is given that:

A wallet holds $ 25 in total.

Also, the number of $ 1 bills,$ 5 bills and qaurters are present in equal number in the wallet.

Let the number of each coin or bill in the wallet be: x

Also, we know that:

1 quarter= 1/4 dollar

i.e.

1 quarter= 0.25 dollar

Hence, we get:

 x+5x+0.25x=25

i.e.

6.25 x=25

On dividing both side of the equation by 6.25 we get:

   x=25/6.25

i.e.

x=4

Hence, the number of each kind of coin or bill are: 4

Answer:

C. His friend's house, grocery store, and his home.

Step-by-step explanation:

Triangle Proportionality Theorem-

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

So if the line joining the park, bus stop and friend's house, grocery store will be parallel, Stephen can use triangle proportionality theorem.

When two lines are crossed by another line i.e the transversal, the angles in matching corners are called corresponding angles. And when the corresponding angles are equal then the two lines are parallel.

The corresponding angle of the angle between the park, the bus stop, and his home is the angle between his friend's house, grocery store, and his home.

Therefore, he needs to measure that angle.

If 100 envelopes cost $0.70 then it would cost $1.75 for 250 envelopes.

If 100 envelopes cost $0.70, we can set up a proportion to determine the cost of 250 envelopes:

100 envelopes / $0.70 = 250 envelopes / x

Cross-multiplying:

100 × x = 250 × $0.70

Simplifying:

100x = 175

Dividing both sides by 100:

x = 175 / 100

x = $1.75

Therefore, it would cost $1.75 for 250 envelopes.

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To find angle PQR in a parallelogram, we can use the Exterior Angle Theorem. By subtracting the measures of the other two angles in triangle QRS from 180 degrees, we find that angle PQR is 70 degrees.

To find the measure of angle PQR, we can use the fact that opposite angles in a parallelogram are congruent. This means that angle PQR is equal to angle STQ. Since STQ is an exterior angle of triangle QRS, we can use the Exterior Angle Theorem to find its measure by subtracting the measures of the other two angles in the triangle from 180 degrees.

Given that angle QRS is 110 degrees, we can find angle STQ by subtracting the measures of angles QRS and QSR from 180 degrees:

angle STQ = 180 - (110 + 180) = -110 degrees

However, angles cannot have negative measures, so we need to find the equivalent positive measure. Adding 180 degrees to -110 degrees gives us angle STQ = 70 degrees. Therefore, angle PQR is also equal to 70 degrees.

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