The value of the variable x in the expression is 9.
How to solve for a variable in an expression?The mathematical expression is as follows:
(x+12) + (4x-16) = 6x-13
Therefore, let's open the brackets
(x+12) + (4x-16) = 6x - 13
x + 12 + 4x - 16 = 6x - 13
Combine the like terms
x + 12 + 4x - 16 = 6x - 13
x + 4x + 12 - 16 = 6x - 13
Do the arithmetic of the like terms on both sides
x + 4x + 12 - 16 = 6x - 13
5x - 4 = 6x - 13
Add 4 to both sides
5x - 4 = 6x - 13
5x - 4 + 4 = 6x - 13 + 4
5x = 6x - 9
subtract 6x from both sides
5x = 6x - 9
5x - 6x = 6x - 6x - 9
-x = -9
divide both sides by -1
Therefore,
x = 9
The value of the variable x in the expression is 9.
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Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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Which linear inequality is represented by the graph?
A. y> 2x+ 2
B. y>1/2x+1
C. y>2x+1
D. y>1/2x+2
Answer:
C. y>2x+1
Step-by-step explanation:
The dashed line automatically means it's either A. or C. because a dashed line indicates it is greater than or less than rather than greater than/ equal to or less than/equal to. Those would have a solid line graphed. The line also has a y-intercept or 1 which means C. is obviously the correct answer.
Mary had a 3 inch piece of ribbon she cut in half how long were the new pieces
Answer:
each peice is 1.5
Step-by-step explanation:
mark brainliest
STAINED GLASS Pablo made the stained glass
window shown. He used an inscribed square and
equilateral triangle for the design.
a. Label the angle measures on the outer edge of the
triangle.
b. Label all of the arcs with their degree measure.
a) The angles outside the side PQ measure 65° and 25°
The angles outside the side QR measure 85° and 95°
The angles outside the side PR measure 55° and 35°
b) The arc PR, PQ and PR measure 120°
a)
Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.
Let side PR of triangle intersects the quadrilateral at points M and N.
So, we get a triangle DMN outside the equilateral triangle.
Here, ∠DMN = 55°, ∠D = 90°
So, ∠MND = 180 - (90 + 55)
= 35°
Similarly, side PQ of triangle PQR intersects the quadrilateral at points X and Y.
So, we get a triangle AXY outside the equilateral triangle.
From triangle PXM we get the measure of angle PXM which is 65 degrees.
As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°
∠A = 90°
So, ∠AYX = 180° - (∠A + ∠AXY )
= 180° - (90° + 65°)
= 25°
Let the side QR of triangle PQR intersects the quadrilateral at points L and K.
so we get new quadrilateral LKBC
In this quadrilateral ∠B = 90°, ∠C = 90°
From triangle QYL, we get the measure of angle QLY = 95°
So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)
So, the remaining angle LKC of quadrilateral LKBC would be,
∠LKC = 360° - (∠B + ∠C + ∠KLB)
∠LKC = 360° - (90 °+ 90° + 95°)
∠LKC = 85°
b)
We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
so, the measure of arc PR = 120°
the measure of arc PQ = 120°
the measure of arc RQ = 120°
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4x−6=4x+3 is it true for all values of x or none
Factor completely.
6x2 – 30x + 24 =
Answer:
The new equation would be
6(x-4)(x-1)
Step-by-step explanation:
First you divide all terms by 6 so you get
6 ( x²-5x+4)
Then ask: Which two numbers add up to -5 and multiply to 4?
-4 and -1.
Then rewrite the expression
(x-4)(x-1)
don't forget to add the 6 you divided in the beginning!
6(x-4)(x-1)
The points (-11, r) and (-6, 12) lie on a line with slope 2. Find the missing coordinater r.
Answer: r=2
Step-by-step explanation:
We can use the given 2 points to find slope. Since we are given the slope, we can plug it into the formula and solve for r.
\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =2\) [plug in values]
\(\frac{12-r}{-6-(-11)} =2\) [combine like terms]
\(\frac{12-r}{5} =2\) [multiply both sides by 5]
\(12-r=10\) [subtract both sides by 12]
\(-r=-2\) [divide both sides by -1]
\(r=2\)
PLS HELP ME ASAP!!!!
The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.
What is meant by data set?A data set is a group of figures or values related to a specific topic. a list of words, numbers, or symbols, the values of which are frequently the outcomes of an investigation or observation. There are typically multiple variables in data sets.
A dataset is an organized group of data typically connected to a certain body of work. An organized collection of data kept as several datasets is called a database.
In an ordered data set, the median is the value in the middle. The mean is calculated by dividing the sum of all values by the total number of values. The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.
Therefore, the correct answer is option c) The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
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One serving is equal to 3/4 of a cup how many cups does it take to get 19.5 g of proteins
Answer: 26
Step-by-step explanation:
this is how i solve this first divide 19.5 by 3/4 (0.75) therefore the answer to this problem is 26 i hope this help please make me brianlist that would help
Help help help math please last one be honest
Answer:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
what are the assymptotes of this equation
2x+15=x/2-3
Can someone solve for x and show the answer step by step?
Answer:
\(2x + 15 = \frac{x}{2} - 3\)
Move the variable
\(4x + 30 = x - 6\)
\(4x - x + 30 = - 6\)
Collect like terms
\(4x - x = - 6 - 30\)
\(3x = - 6 - 30\)
\(3x = - 36\)
Divide both sides by three
\(x = - 12\)
Solve 7x- c= k for x.
O A. x = 7(k-c)
O B. x =
*=***
O C. x = 7(k+ C)
K-c
O D. X=
7
- KM
the answer is in the photo
40 is what percent of 320
Which graphs show continuous data?
Select each correct answer.
HELP ME PLEASE!!!
Answer: the bottom two graphs show continuous data
Step-by-step explanation:
6. What is the slope of the line through the points (-2, -1) and (4, 3)
5/2
2/5
2/3
3/2
Answer: 2/3
Step-by-step explanation: y1-y2 3-(-1) = 4 simplify 4/6=2/3
x1-x2 4-(-2)= 6
Slope is described as "the rise over the run," meaning that it's the fraction of "the change in the y-values compared to the change in the x-values."
In this situation
- the change in the y-values is 3 - (-1) = 4.
- the change in the x-values is 4 - (-2) = 6.
so the fraction is 4/6 or 2/3.
As a general formula, the formula for slope is \(m = \dfrac{y_2-y_1}{x_2-x_1}\).
\(m = \dfrac{3-(-1)}{4-(-2)}=\dfrac{4}{6}=\dfrac{2}{3}\)
Next O Quiz 6.2
10
Select the correct answer.
According to the Dietary Guidelines for American 2015, you should limit your fat intake to what percentage of your total calories?
OA. Less than 10%
OB. 25-35%
C.
OD.
45-55%
65-75%
Reset
Next
According to the Dietary Guidelines for American 2015, you should limit your fat intake to 25% - 35% of your total calories. The correct option is B.
What is dietary guidelines?Food-based dietary guidelines also known as dietary guidelines are intended to serve as a foundation for public food and nutrition policies, health and agricultural policies, and nutrition education programs aimed at promoting healthy eating habits and lifestyles.
Calories are the units of energy released by your body when it digests and absorbs food. The higher the calorie content of a food, the more energy it can provide to your body. When you consume more calories than you require, your body stores the excess calories as fat. Even fat-free foods can be high in calories. In this case, the fay should not be more than 35%.
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Please help solve…………………
Answer:
22.5
Step-by-step explanation:
∠EAB=2x (alternate interior angles)
∠AEB=180°-4x (linear pair)
2x+180-4x=6x (exterior angle theorem)180-2x=6x180=8xx=22.5find the value of x if log3 625=x
Given:
The equation is
\(\log_3625=x\)
To find:
The value of x.
Solution:
We have,
\(\log_3625=x\)
It can be written as
\(\log_3(5)^4=x\)
\(4\log_3(5)=x\) \([\because \log x^n=n\log x]\)
\(4\dfrac{\log (5)}{\log (3)}=x\) \([\because \log_ab=\dfrac{\log_xb}{\log_xa}]\)
\(4\times \dfrac{0.69897}{0.47712}=x\)
\(x\approx 5.8599\)
Therefore, the value of x is about 5.8599.
Priscilla invested 20,000 at rate of 12% over 5 years. Much to her surprise, her investment paid off, and her account grew by an additional $12,000. What is the principal in this scenario?
The principal in this scenario is $ 8000.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.
Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.
It is Given that:
Priscilla invested 20,000 that means the total amount she invested.
Amount= $ 20,000
Rate of interest=12%
Time= 5 year
Interest= $12,000.
By the formula;
Amount = principal + Interest
Principal = Amount - Interest
Principal= $ 20,000- $12,000
Principal=$ 8000
Hence, the principal in this scenario is $ 8000.
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Can anyone help me out on this
Answer:
1/10
Step-by-step explanation:
what is the rule for the reflection
Answer:
i think the answer is R y-axis(x,y)=(x,-y).
hope get it...
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
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Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation:
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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the answer to the question is D.
Answer:
to answer questions you just need to click on them and then click give answer
your welcome
If the sixth term is 22 and the common difference is six what is the 50th term
In order to calculate the nth term of a arithmetic progression, we can use the formula:
\(a_n=a_q+(n-q)r\)Where r is the ratio of the progression.
If the common difference is 6, that means the ratio is 6.
So, to find the 50th term, let's use n = 50 and q = 6 (since we know the 6th term):
\(\begin{gathered} a_{50}=a_6+(50-6)\cdot6 \\ a_{50}=22+44\cdot6 \\ a_{50}=22+_{}264 \\ a_{50}=286 \end{gathered}\)So the 50th term is 286.
Can anyone answer this question fast?
The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store.
What does the x represent in this situation?
Answer:
I would say it's the amount of potted plants.
Step-by-step explanation:
x is the independent variable and y is the dependent variable. Y counts on x, so total cost counts on the amount of potted plants.
i need some help pls been out of school 7 weeks for covid and so confused
Given:
\(3x+y=4\ldots\ldots\ldots\ldots\text{ take it as equation (1).}\)\(6x+2y=8\ldots\ldots\ldots\ldots\text{ take it as equation (2).}\)Multiply both sides of the equation (1) by 2, we get
\((2)3x+(2)y=(2)4\)\(6x+2y=8\ldots\ldots\ldots\ldots\text{ take it as equation (3).}\)Subtract equation (2) from equation (3), we get
\((6x+2y)-(6x+2y)=8-8\)\(0=0\)We obtain equation (2) by multiplying 2 and equation (1).
Equation 2 is dependent on equation (1).
We know that a dependent system has an infinite number of solutions.
The solution of the system has many solutions.
The time required for Rs 2500 to yield Rs 300 as simple interest at 8% is
1.5 years
6 months
2 years
2.5 years
I think its 2.5yrs
yeah thank you pls give me correct answer if I am wrong