Find the value of x (5x) (3x+12
Answers
The value that shows the expansion of the given algebraic expression is 6.
What is the solution to the algebraic expression.
An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators
In the complete question attached below, we are to find the value of x.
We can see that the angles are alternate angles.
So, 5x = (3x + 12).Combine like terms, we have:
5x - 3x = 12
2x = 12
x = 12/2
x = 6
Therefore, the value of x is = 6.
Related Questions
Find the difference 34.44 - 8.6=
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Hope this helps ;)
El cuadrado de un número disminuido en 9 equivale a 8 veces el exceso
del número sobre 2. Hallar el número.
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X : EL NUmerRO DESCONOCIDO
X*2 : X ELEVADO AL CUADRADO
X*2 -9 : EL NUMERO ELEVADOAL CUADRADO Y DISMINUIDO EN 9
Equivale es igual a :
X -2 : EL EXCESO DEL NUMERO SOBRES DOS (se deduce que X es mayor a 2)
8(X-2) : ocho veces el exceso del numero sobre 2
ECUACION
x*2 -9 = 8 (X-2)
X*2 -9=8X-16
X*2 - 8X -9+16=0
X*2 - 8X +7 =0
pOR EL METODO DE ASPA SIMPLE Y COMO ES CUADRATICA X SALE CON DOS VALORES
X= 7 ó X=1
LA RESPUESTA ES X=7 YA QUE DE LA CONDICION SABEMOS QUE X TENE QUE SER mayor que 2
RESPUESTA EL NUMERO ES 7
The two shapes have the same area. Work out the perimeter of the rectangle.
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1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
A train traveling south leaves the station at a constant rate of 62 kilometers per hour. A second train traveling north leaves the station at the same time traveling at a constant rate of 68 kilometers per hour. How many hours after the trains leave will they be 455 kilometers apart?
A 3.5
B.
4.5
C.
5.5
D.
6.5
Answers
Answer: 3.5 hours
Step-by-step explanation:
68 + 62 = 130
455 / 130 = 3.5
Hope this helps you! :)
Answer:
3.5
Step-by-step explanation:
I got it right on the test
Find the area of a circular park whose radius is 4.9 meters?
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Answer:
75.4296 meters
Step-by-step explanation:
Use the circle area equation: pi(r)^2 to do 4.9^2 multiplied by pi
If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0
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Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13
Answer: - 12/13
Samuel is saving to buy a watch that costs 169 this is $48 more than 4 times what he saved last month how much did he save last month?
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First, subtract 48 form 169. then divide by 4.
Four friends measure the length of a 6-millimeter-long grain of rice. They record their measurements as shown. Andrey: 7 mm, 5 mm, 6 mm, 8 mm Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm Whose measurements are the most accurate? Andrey’s Mariya’s Yuto’s Misaki’s
Answers
Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm. Hence Option 3 is Correct
To determine whose measurements are the most accurate, we need to compare each friend’s measurements against the correct value of the grain of rice, which is 6 mm. The accuracy of measurements corresponds to how close they are to this true value.
Let's look at each friend's measurements:
Andrey: 7 mm, 5 mm, 6 mm, 8 mmMariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mmYuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mmMisaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mmTo evaluate accuracy, we calculate the deviation of each measurement from 6 mm, then find the mean absolute deviation for each friend:
Andrey: Mean = ( |7-6| + |5-6| + |6-6| + |8-6| ) / 4 = 1.5 mmMariya: Mean = ( |7.41-6| + |8.54-6| + |5.12-6| + |6.23-6| ) / 4 = 1.52 mmYuto: Mean = ( |6.1-6| + |5.9-6| + |6.3-6| + |7.2-6| ) / 4 = 0.625 mmMisaki: Mean = ( |5.843-6| + |6.981-6| + |5.334-6| + |7.632-6| ) / 4 = 0.906 mmHere, Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.
Yuto's measurements are the most accurate.
Andrey: 7 mm, 5 mm, 6 mm, 8 mm
Mean value: [tex]\frac{7 + 5 + 6 + 8}{4} = 6.5[/tex] mm
Absolute errors: [tex]|7 - 6| = 1[/tex] mm, [tex]|5 - 6| = 1[/tex] mm, [tex]|6 - 6| = 0[/tex] mm, [tex]|8 - 6| = 2[/tex] mm
Average error: [tex]\frac{1 + 1 + 0 + 2}{4} = 1[/tex] mm
Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm
Mean value: [tex]\frac{7.41 + 8.54 + 5.12 + 6.23}{4} \approx 6.825[/tex] mm
Absolute errors: [tex]|7.41 - 6| \approx 1.41[/tex] mm, [tex]|8.54 - 6| \approx 2.54[/tex] mm, [tex]|5.12 - 6| \approx 0.88[/tex] mm, [tex]|6.23 - 6| \approx 0.23[/tex] mm
Average error: [tex]\frac{1.41 + 2.54 + 0.88 + 0.23}{4} \approx 1.265[/tex] mm
Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm
Mean value: [tex]\frac{6.1 + 5.9 + 6.3 + 7.2}{4} \approx 6.375[/tex] mm
Absolute errors: [tex]|6.1 - 6| = 0.1[/tex] mm, [tex]|5.9 - 6| = 0.1[/tex] mm, [tex]|6.3 - 6| = 0.3[/tex] mm, [tex]|7.2 - 6| = 1.2[/tex] mm
Average error: [tex]\frac{0.1 + 0.1 + 0.3 + 1.2}{4} \approx 0.425[/tex] mm
Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm
Mean value: [tex]\frac{5.843 + 6.981 + 5.334 + 7.632}{4} \approx 6.448[/tex] mm
Absolute errors: [tex]|5.843 - 6| \approx 0.157[/tex] mm, [tex]|6.981 - 6| \approx 0.981[/tex] mm, [tex]|5.334 - 6| \approx 0.666[/tex] mm, [tex]|7.632 - 6| \approx 1.632[/tex] mm
Average error: [tex]\frac{0.157 + 0.981 + 0.666 + 1.632}{4} \approx 0.859[/tex] mm
Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
Answers
10-15
x-90
so 15x=900
x=60
Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog. On what fraction of the days of the year does Regina have fog?
Please answer and show the work how you got the answer.
Answers
The fraction of the days of the year Regina have fog will be 438.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog.
We have to find the fraction of the days of the year Regina have fog,
From the given conditions,
wet weather = 3/10 × days in year
wet weather = 4 × days of fog
Combined both the equation,
3/10 × 365 = 4 × x
x=3×365/10×4
x=438
Thus, the fraction of the days of the year Regina have fog will be 438.
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13.1 miles in 58 minutes and 23 seconds; 30 yards in 4.8 seconds. Which is faster
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1 mile = 1760 yards
13.1 * 1760 = 23056 yards / 58.38 = 394.93 yards per minute
394.93/60 = 6.58 yards per second
30/4.8 = 6.25 yards per second
13.1miles in 58 minutes 23 seconds is faster
Name each polygon! Determine if it appears to be a regular or not regular
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Triangle quadrilateral octagon - regular
rest are not. Someone might need to check me if im right about regular and irregular :) Hope I helped
Solve 8w – 3r = 45 for r
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3r = 8w - 45
r = 8w/3 - 15
hope it helps
3918 divide 92 long divided
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which is an equation of the line with x-intercept 2 and y-intercept 12
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The equation of the line having The x-intercept of the line is 2, The y-intercept of the line is 12, is y = -6x + 12.
What is a line?Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.
A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction.
Given:
The x-intercept of the line is 2,
The y-intercept of the line is 12,
Write the equation of the line as shown below,
y = m x + 12
Here, m is the slope,
At y = 0 we get the x-intercept, so
0 = m × 2 + 12
m = -12 / 2
m = -6
Thus, the equation of the line is y = -6x + 12.
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Make a conjecture about the relationship between a and b if ab=1
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Also conjecture that a and b have the same sign
Conjecture that if a > 1 then b < 1
Answer:
a and b are reciprocals
Step-by-step explanation:
How to label tables with unit rates
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The segments for Lisa and Alexa are included in the picture below. you divide Lisa's segments by 4 which will equal Alexa's segments. For the one that need filling in you either divide by 4, or mutiply by 4 to get the answer.
Hope this helps.
A hand tool manufacturer produces a product for which the variable cost is $5.35 per unit and the fixed costs are $16,000. The company sells the product for $8.20 and can sell all that it produces.
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In the given scenario, we analyze variable costs, fixed costs, and total costs in a manufacturing context where the business sells a product at a set price and bears specific levels of fixed and variable costs. Average variable cost is obtained by dividing total variable costs by the quantity produced, which impacts the total cost and pricing strategies for the business.
Explanation:The scenario you're describing involves concepts of variable costs, fixed costs, and total costs in the context of a manufacturing business. At zero production, the fixed costs amount to $16,000. These costs do not change regardless of production levels. As production increases, the variable cost, which is $5.35 per unit, is added to the fixed costs. Total cost for any given level of production is the sum of variable and fixed costs. When a company sells the product for $8.20 per unit and can sell all that it produces, it gives us a context to calculate break-even points, profit margins, and other relevant financial metrics.
For example, average variable cost (AVC) is determined by dividing the total variable cost by the quantity of output. If a hypothetical scenario is given where the company produces 80 units, the total variable cost would be 80 units times $5.35, resulting in $428. Therefore, the AVC would be $428/80, which is $5.35 per unit.
As output increases, fixed costs per unit decline because these costs are spread over more units, making the average variable cost a relatively bigger component of the total cost. This principle is crucial for businesses as they plan production and pricing strategies to cover costs and achieve profitability.
Average variable cost cannot be calculated without the quantity of output. The total cost is the sum of fixed costs and variable costs.
Explanation:The subject of this question is and the grade level is
To find the of producing a product, we divide the by the . In this case, the variable cost is $5.35 per unit. To calculate the average variable cost, we need to know the quantity of output. Since the question does not provide the quantity of output, we cannot calculate the average variable cost.
The fixed costs of the hand tool manufacturer are given as $16,000. Fixed costs do not change with the quantity of output. The total cost is the sum of the fixed costs and the variable costs. To calculate the total cost, we would need to know the quantity of output.
Translate 4 units down, and then reflect over the y-axis. (5, 15) (4, 12) (2, 18)
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Which graph represents the inequality y<−1+2x?
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.04 is 1/10 of what number
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Answer:
0.4
Step-by-step explanation:
Let x be 1/10 of 0.04.
1/10 of x would be [tex]\frac{1}{10}x[/tex].
We can represent our given information in an equation as:
[tex]\frac{1}{10}x=0.04[/tex]
Let us solve for x.
[tex]10*\frac{1}{10}x=10*0.04[/tex]
[tex]x=0.4[/tex]
Therefore, 0.04 is 1/10 of 0.4.
25.2 divided by 4 long divisions
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hope this helps
Solve for D.
4 - 3d = d - 8
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Your answer is d=3.
Write the following statement as a conditional. "All squares are rectangles."
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The statement 'All squares are rectangles' written as a conditional is 'If a shape is a square, then it is a rectangle.' This forms a strict conditional that states the sufficiency of the condition of being a square for the necessity of being a rectangle.
When we are asked to write the statement 'All squares are rectangles' as a conditional, we are forming what is called a strict conditional. This type of conditional states that if the antecedent (the 'if' part) is true, then the consequent (the 'then' part) must also be true without any exceptions. In our example, the antecedent is the condition of being a square, and the consequent is the condition of being a rectangle.
Strict Conditional Example
If a shape is a square, then it is a rectangle. This expresses a clear relationship between two properties: being a square and being a rectangle. This conditional is considered strict because there are no exceptions to the rule; every square is, by definition, a rectangle.
A company finds that on average, they use 43 minutes for each meeting.
An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.
If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?
A. 10
B. 40
C. 50
D. 200
E. 210
F. 220
G. 250
Answers
Answer:
F. 220
Step-by-step explanation:
Showing the time for 1 to 5 meetings means we would go from 43(1) = 43 to 43(5) = 215 for the y-axis (time in minutes).
We are counting by 10s. The two closest tens to 215 are 210 and 220. However, in order to show 215 on the graph, we must go up to 220.
Answer: 220
Step-by-step explanation:
5 pounds of apples cost $8.20. How much is it for 1 pound?
Answers
so if u were going to write it down on a piece of paper it would look like this...
8.2/5=1.64
so for one pound it would be... 1.64
For $360, a rock-climbing gym offers yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Write an equation to find the number of visits after which the total cost for a member and the total cost for a nonmember are the same. Then solve the equation.
Answers
$4x+$360=$10x+$6x
Combine like terms.
$4x+$360=$16x
Subtract $4x on both sides to balance out the equation.
$12x=$360
Divide by $12.00 on each side.
x=30 visits
To check your work, plug in what x equals or 30 in the original equation. If you come up with a true statement, then you know your answer has to be correct.
4x+360=16x
4(30)+360=16(30)
120+360=480
480=480
Because this is a true statement, you can be certain that the total number of visits when the cost of a member and a nonmember will be the same is 30 visits. Hope I helped! Brainliest too please.
g=ca-b. what is a??????!!!!????
Answers
G=ca-b
+b +b Add B to get it on the other side
______
G+b=ca
___ __ Divide by c
c c
a = (G+b)/c
A youth group earned $285 washing cars. The groups expenses were $79. How much profit did the group make washing cars?
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Final answer:
The profit is calculated by subtracting the group's expenses from their total earnings, resulting in a profit of $206.
Explanation:
The student's question is about calculating the profit made by a youth group from washing cars. To find the profit, we subtract the group's expenses from their earnings. Here is the calculation:
Total earnings from car washing: $285.
Total expenses: $79.
To find the profit, subtract expenses from earnings: $285 - $79 = $206.
Therefore, the youth group made a profit of $206 from washing cars.
I really need help with this problem thank you.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich is they are all the same price?
Choose two answers: One for inequality that models this situation and one for the correct answer.
A. Inequality: 6x+2 > ( greater than or equal too ) 32
B. Inequality: 6x+2 < ( less than or equal too ) 32
C. Answer: $13 or less
D. Answer: $5 or less
E. Inequality: 2x+6 < 32
F. Inequality: 2x+6 < ( less than or equal too ) 32
Answers
Inequality that models the given situation is given by 6x+2 ≤ 32.
Price of each sandwich is equals to $5 or less.
What is inequality?" Inequality is defined as the algebraic expression which represents the relation between the variables using the sign of inequality < , > , ≤ , ≥."
According to the question,
Given,
Number of sandwiches = 6
Amount spend on kids meal = $2
Total money with Charlie = $32
'x' represents the cost of each sandwich
As per the condition inequality is given by,
[tex]6x+2 \leq 32\\\\\implies 6x \leq 32 - 2\\\\ \implies 6x \leq 30 \\\\ \implies x \leq \frac{30}{6} \\\\\implies x\leq \$5[/tex]
Hence, Option(D) is the correct answer
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