2x+9y=27
x-3y=-24
It’s substitution

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The fractions ratio of 2.3L of blue paint and 1.7L of yellow paint is equivalent to 23 : 17.

Ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given is 2.3L of blue paint and 1.7L of yellow paint.

Quantity of Blue paint = Q[B] = 2.3L

Quantity of Yellow paint = Q[Y] = 1.7L

Assume that we represent the fraction ratio of Q[B] and Q[y] by x / y.

Therefore, we can write -

x / y = Q[B] / Q[Y]

x / y = 2.3 / 1.7 = 23/17

In the form of ratio, we can write x : y as 23 : 17.

Therefore, the fractions ratio of 2.3L of blue paint and 1.7L of yellow paint is equivalent to 23 : 17.

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A

Take the product of corresponding components, then take the total:

u • v = (9i - 6j) • (-3i - 2j) = 9 (-3) + (-6) (-2) = -15

u • w = (9i - 6j) • (19i + 15j) = 9 × 19 + (-6) 15 = 81

Alternatively, use the definition and algebraic properties of the dot product.

• For any vector x,

x • x = ||x||²

where ||x|| is the magnitude of x.

• i • i = j • j = k • k = 1

• i • j = j • k = k • i = 0

• For any scalar c and any two vectors x and y,

cx • y = x • cy = c (x • y)

• For any vectors x, y, and z,

(x + y) • z = z • (x + y) = x • z + y • z

Then the products you want are

u • v = (9i - 6j) • (-3i - 2j)

… = -27 (i • i) + 18 (j • i) - 18 (i • j) + 12 (j • j)

… = -27 + 12 = -15

u • w = (9i - 6j) • (19i + 15j)

… = 171 (i • i) - 114 (j • i) + 135 (i • j) - 90 (j • j)

… = 171 - 90 = 81

Reason:

We have two pairs of congruent sides, and a pair of congruent angles between those sides. The tickmarks tell us which sides are congruent to one another.

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Answer:

4

Step-by-step explanation:

You can rewrite 1 1/2  as 1.5. This just makes it easier if you use a calculator.

6/1.5 = 4

Let's just think of a different way to think about it:

If you add up two 1 1/2 ft sandwiches, (1.5 + 1.5), that equals 3. Two 3's equal 6. Again, the answer is 4.

Answer:

48/5

Step-by-step explanation:

hope it helps!

......

The same line of equations can be written in two different ways in a dependent equation. The lines that appear when we graph dependent equations are the same.

The solutions to these kinds of equations are infinite rather than fixed.

When the same line is written in two different ways, a dependent system of equations has infinite possible solutions. When attempting to solve for a system of equations, these two scenarios arise. When working through a system of equations, you'll need to keep track of a few words from your vocabulary.

A system of equations is formed by the two equations y=2x+5 and y=4x+3. The system's solution is the ordered pair that results from resolving both equations. One solution, an infinite number of solutions, or nothing at all can be found for a system of two linear equations.

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Answer:

The answer would be the first choice ; sides jh and tr are congruent

Answer:

Step-by-step explanation:

You can't simplify 32/23, the numerator and denominator don't have a common divisor, so you either divide 32 by 23 (32:23=1.391304347826087 which you can round to 1.4) or in mixed numbers 32/23=1 9/23

The probability that Ephraim gets the same number of heads that Keiko gets is (A)1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given that Keiko tosses one penny and Ephraim tosses two pennies.

We need to find  the probability Ephraim gets the same number of heads that Keiko gets;

Probability = 1/4 chance for Ephraim

Probability = 1/2 chance for Keiko

Hence, the probability that Ephraim gets the same number of heads that Keiko gets is (A)1/4.

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The sum of all the entries of a matrix whose null space consists of all linear combinations of vectors is zero.

To find the sum of all the entries of a matrix whose null space consists of all linear combinations of vectors, follow these steps:

Therefore, the sum of all the entries of a matrix whose null space consists of all linear combinations of vectors is zero.

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if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer:

slope = 2 , y- intercept = -8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 4x + 2y = - 16 ( add 4x to both sides )

2y = 4x - 16 ( divide both sides by 2 )

y = 2x - 8 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 8

Answer:

the slope is 2 and y-intercept is (0,-8)

Step-by-step explanation:

Step 1: is to subtract 2y from both sides, -4x+2y-2y=-16-2y

Step 2: Simplify, -4= -16-2y

Step 3: Divide both sides by -4, -4x/4=-16/-4-2y/-4

4x/4=x=1

Step-by-step explanation:

with the population size being 11 the median is 34.5

Answer:

it raised by 9 so.. look below

Step-by-step explanation:

it took 5 minutes to raise 9 degrees so all you do is you do 9/5

9/5 is 1.8

It raised 1.8 degrees per minute

The inequalities which the number lines represent are as follows;

x > 3

x <= 2.

A mathematical comparison and expression of the relationship between two expressions is known as an inequality.

It can be seen as a generalization of an equation and is denoted by a symbol like ">", "", "", or "".

In contrast to an equation, which only has one solution, an inequality may have several answers or none at all.

The values that give rise to an inequity are its remedies.

The range of potential values for a variable is one example of how inequality models limits or limitations in the real world.

They can also be used to describe how two variables relate to one another, such as when one is more than or less than the other.

According to our question-

the inequality is; x <= 2

the inequality is; x > 3

x > 3

x <= 2

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The    median for Data Set A is 30, and

median for Data Set B is 50.

The IQR for Data Set A is 20 (from 20 to 40), also   the IQR for Data Set B is also 20 (from 40   to 60).

To find the median we say   ......

For data set A, the median is:

The 6th value is the middle value, since there are 12 total values.

The 6th value =   30 on the number line,

since there are 2 dots above 10, 3 above 20, and 4 above 30.

Therefore, the median of data set A is 30.

For data set B, the median is:

The 7th and 8th values are the middle values, since there are 14 total values.

The 7th and 8th values =  50 on the number line,

since there are 4 dots above 50 and 2 dots above 60.

Hence, the median of data set B is 50.

To find the IQR, we need to find the range of the middle 50% of each data set.

For data set A, the IQR is:

The lower quartile is the 3rd value, which =  20 on the number line.

The upper quartile is the 9th value, = 40 on the number line.

The IQR is the difference between the upper and lower quartiles: 40 - 20 = 20.

For data set B, the IQR is:

The lower quartile is the 4th value, =  40 on the number line.

The upper quartile is the 11th value, = 70 on the number line.

Thus,

The IQR =  70 - 40 = 30.

Thus, data set B has a higher median than data set A,

And see that data set B has a larger IQR than data set A.

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the square root of 4 is 2

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x-5 has to be less than -2 and the inequality sign goes the opposite direction than the arrow on the number line

The height of the cylinder is 7/2 inches.

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Where:

V = Volume of the cylinder

π = 22/7

r = Radius of the cylinder

h = Height of the cylinder

Given that the volume V is 1 2/9 in³ and the radius r is 1/3 in, we can substitute these values into the formula:

1 2/9 = (22/7) x (1/3)² x h

To simplify, let's convert the mixed number 1 2/9 to an improper fraction:

11/9 = 22/7 x 1/3 x 1/3 x h

11/9 x 63/22 = h

h = 7/2

Therefore, the height of the cylinder is 7/2 inches.

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Answer:

x = (5 + √73) / 4 or (5 - √73) / 4

Step-by-step explanation:

2x² - 5x - 6 = 0

x = [5 ± √(25 - 4(2)(-6)] / 2(2)

x = [5 ± √(25 + 48)] / 4

x = [5 ± √(73)] / 4

x = (5 + √73) / 4 or (5 - √73) / 4)

Answer:

987654321 divided by 12345678

Step-by-step explanation:

Answer:

60 degrees.

Step-by-step explanation:

Do you see those red points on the lines? Those red arrows indicate that the lines are parallel, meaning, when there's a line crossing through two parallel lines, are vertical and adjacent angles are the same.

In this case, 11x-6 is equal to 10x.

11x-6 = 10x

-6 = -1x

divide -x both sides, you get x = 6.

Now you know that 11x - 6 = 60, because 11x - 6 = 10x, and since x = 6, 10x = 60.

---------------------------------------------------------------------------------------------------------

Since 10x is on a straight line, the angle next to it adds up to 180, so...

10x + y = 180.

We know that 10x = 60, so 60 + y = 180.

subtract both sides by 60, you get y = 120.

Now, you solved the whole graph.

The set {a, b, c, d, e, f} has 2⁶ = 64 distinct subsets and 2⁶ - 1 = 63 distinct proper subsets.

A subset is any set of elements taken from a larger set. For example, {a, b} is a subset of {a, b, c}. A proper subset is any subset which does not contain all elements from the original set. For example, {a, b} is a proper subset of {a, b, c}, but {a, b, c} is not a proper subset of {a, b, c}.

To calculate the number of distinct subsets and proper subsets of a given set, we first need to determine the cardinality of the set (i.e. the number of elements it contains). In this case, the set contains 6 elements, so its cardinality is 6.

The number of distinct subsets for a given set is 2ⁿ, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct subsets is 2⁶ = 64.

The number of distinct proper subsets for a given set is 2ⁿ - 1, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct proper subsets is 2⁶ - 1 = 63.

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Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

\(a_{n}\) = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

Answer:

d<150

Step-by-step explanation:

Answer:

Slope =-3, y intercept =4

Step-by-step explanation:

y2-y1/x2-x1 = slope

4-(-2)/0-2=6/-2 or -3

y intercept is where line crosses y axis so it is 4.

Answer:

Slope: -3, y-intercept: 4

Explanation:

=> In order to find slope when a graph is given, the formula would be: \(\frac{rise}{run}\)(pronounced as "rise over run")

Rise = change in y-value = -3

Run = change in x-value = 1

Slope = \(\frac{rise}{run}\) = \(\frac{-3}{1}\) also could be written as -3

=> Now, to find the y-intercept, find a value on the graph where the line touches the y-axis, that's where x = 0, which would be your y-intercept;

Here the line touches the y-axis at "y = 4", this is also where x = 0;

therefore y-intercept = 4

Hope this helps!