Solve for x:

negative 3 over 2, multiplied by x minus 9 equals negative 27

−24

−12

11

12

The allowance saved by Mike after expenditure will be equal to $43.

Equations are mathematical expressions that have two algebraic symbols on either side of the equal (=) sign.

The equality of the left and right expressions serves as an illustration of this relationship. An easy equation to remember is the left side equals the right side.

As per the data provided in the question,

Let the allowance saved by Mike is x.

Amount received on birthday = $25

And amount left = $34

Then, the equation will be,

(x + 25)/2 = 34

Solve the equation for x,

x + 25 = 38

x = 38 - 25

x = $43

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Mike had saved $43 from his allowance money before receiving $25 for his birthday and spending half of the total amount, leaving him with $34.

Mike initially had a certain amount of allowance money saved. After receiving $25 for his birthday, he then went to a toy store and spent half of his total money. Post-purchase, he has $34 remaining. To find out how much allowance money Mike had originally saved, we need to determine what half of his total money is.

We know that:

Mike has $34 left after spending half his money.

Therefore, before spending, Mike had $34 (the amount left) times 2.

$34 x 2 = $68 was the total amount Mike had before spending.

Since he received $25 for his birthday, the allowance money he had saved before his birthday was $68 - $25.

$68 - $25 = $43 was the amount Mike had saved from his allowance.

Answer:

Option D. 2[L + ( L-8)] = 18

Step-by-step explanation:

Let the length of rectangle is L and width is W

The width of a rectangle is 8 meters shorter than its length

Then equation will be W = L - 8 -----------(1)

The perimeter of the rectangle is 18 cm

Then P = 18 cm = 2 ( l + w )

2(l + w) = 18 ----------(2)

Now we substitute the value of W from equation (1) to equation (2)

2[L + ( L-8)] = 18

Option D. is the answer.

find 2 numbers when multiplied by each other = 100

sqrt(100) = 10

since the equation has a minus sign

 the answer would be (x+10)(x-10)

Answer:

Step-by-step explanation:

These angles are equal due to the property of corresponding angles. If there are two parallel lines being intersected with a transversal that means the angles are equal. 3 and 5 are equal because they are alternate interior angles. 4 and 6 are also alternate interior angles.

To name segments skew to HI, we need a three-dimensional space and other lines or segments relative to HI. Skew segments do not intersect, are not parallel, and are not in the same plane as HI. Without additional context or a visual representation, we cannot list specific skew segments.

To answer the question: Name all segments skew to HI, we need to understand what skew lines are in geometry. Skew lines are lines that do not intersect and are not parallel, which means that they are not in the same plane. In three-dimensional spaces, if we have a line like segment HI, there could be many segments skew to it, but they must satisfy the conditions of being non-intersecting, non-parallel, and not co-planar with segment HI.

It's important to note that since skew lines must be in different planes, we cannot name specific segments skew to HI without additional context or a diagram showing the position of other lines or segments. If, for example, we have a cube structure, and HI is one edge of the cube, then any edge that is not on the same face or a parallel face could be considered skew to HI. However, without a visual or additional information, we cannot provide specific names of skew segments.

Therefore, to give a complete answer, we would require more information about the three-dimensional space or structure where segment HI is located.

Segments that are skew to HI do not lie in the same plane and do not intersect or parallel to the line HI.

A skew segment is a segment that does not lie in a single plane with another segment. To identify segments skew to HI, we need to find segments that do not lie in the same plane as segment HI.

Let's say segment HI is represented by the line passing through point H and point I. Any other segment that does not intersect this line and is not parallel to it would be a skew segment to HI.

For example, segments CD, EF, and GH can be considered skew to HI if they do not intersect the line HI and are not parallel to it.

Following are the calculation to the points:

Given:

x= 3

To find:

points=?

Solution:

Using slop formula:

[tex]\to y= mx+c[/tex]

Then [tex]x = 3[/tex], the function's value is [tex]4[/tex].

Its slope is  [tex]\frac{1}{5}[/tex] and the y-intercept is [tex]3 \frac{2}{5}[/tex].

Therefore, in slope-intercept form (with the unknown value of x)

It is

[tex]\to f(x)=\frac{1}{5} + 3 \frac{2}{5}\\\\\to f(x)=\frac{1}{5} + \frac{17}{5}\\\\\to f(x)=\frac{1+17}{5} \\\\\to f(x)=\frac{18}{5} \\\\[/tex].

Therefore the final answer is "[tex]\frac{18}{5}[/tex]".

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Final answer:

The percent of decrease in Aaron's score from 92 to 84 is calculated by finding the difference, dividing by the original score, and multiplying by 100, which gives approximately 8.7%.

Explanation:

To calculate the percent of decrease in Aaron's score, we first find the difference in scores, then divide by the original score, and finally multiply by 100 to get the percent change. Aaron's score decreased from 92 to 84. So, the difference is 92 - 84 = 8. The percent decrease is then (8 ÷ 92) × 100, which approximates to 8.6956521739%. Rounded to two decimal places, the closest answer is 8.7%. Therefore, the correct option is 8.7.

Answer: A. 51.9, 52, 49, 6

Step-by-step explanation:

The given data : 49, 49, 54, 55, 52, 49, 55

[tex]{\text{Mean =}\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]{\text{Mean =}\dfrac{363}{7}=51.8571428571\approx51.9[/tex]

For Median , first we arrange observations in order.

49, 49, 49, 52, 54, 55, 55

Median = Middlemost observation = 52

Mode = Most repeated observation = 49

Range = Maximum number -Minimum number

[tex]=55-49=6[/tex]

Answer:

0.004

Step-by-step explanation:

2.704 - The value of the digit 2 is 2 ones, or 2.

2.704 - The value of the digit 7 is 7 tenths, or 0.7.

2.704 - The value of the digit 0 is 0 hundredth, or 0.00.

2.704 - The value of the digit 4 is 4 thousandths, or 0.004.

Answer:

the answer is actually $943.40

Final answer:

To earn the prize of 1800 points from the rewards club, you would need to send 360 texts, as you get 5 points for each text.

Explanation:

The problem requires us to find out the number of texts needed to be sent to earn enough points for a prize from the cell phone company's rewards club. Since you receive 15 points for every 3 texts sent, and you need a total of 1800 points for the prize, the calculation is as follows:

First, determine how many points are awarded for one text message by dividing 15 points by 3 texts, which equals 5 points per text.

Next, find out how many texts are needed for 1800 points by dividing 1800 points by 5 points per text, giving us 360 texts.

Therefore, you need to send 360 texts to earn 1800 points and get the prize.

Final answer:

Triangles A (right obtuse triangle) and B (equilateral scalene triangle) and D (right equilateral triangle) are impossible to draw because their defined characteristics contradict the specific angles and sides that a triangle must have to fit those definitions.

Triangle C (acute isosceles triangle) and E (right scalene triangle) are possible according to the definitions of their angles and sides.

Explanation:

When classifying triangles, the definition of each type of triangle must be considered to determine if it is possible to draw them based on their angles and sides. Here are the classifications:

A right triangle has one 90-degree angle.

An obtuse triangle has one angle greater than 90 degrees.

An acute triangle has all angles less than 90 degrees.

An equilateral triangle has three sides of equal length and three angles each measuring 60 degrees.

A scalene triangle has all sides of different lengths and, correspondingly, all angles are different.

An isosceles triangle has two sides of equal length and two angles that are equal.

Using these definitions:

A right obtuse triangle (A) is impossible because a triangle cannot have a right angle (90 degrees) and an obtuse angle (greater than 90 degrees) at the same time.

An equilateral scalene triangle (B) is impossible because an equilateral triangle has all sides equal, while a scalene triangle has all sides of different lengths.

An acute isosceles triangle (C) is possible as it can have two equal angles that are both acute, and the third angle also being acute.

A right equilateral triangle (D) is impossible because in an equilateral triangle all angles must be 60 degrees, which does not allow for a 90-degree angle.

A right scalene triangle (E) is possible because it can have one 90-degree angle and two other angles that are different from each other and both less than 90 degrees, with corresponding sides being of different lengths.

one and 59 hundredths,hope this helps!!!   :)