Hi! I am doing substitution on a problem and cannot seem to get them equal. Substitute x = 4 into the equation 2x + 3x + 2= 2(x+2)+2x+2
Answers
Given the below equation;
\(2x+3x+2=2(x+2)+2x+2\)Let's go ahead and substitute x = 4 into both sides of the equation;
\(\begin{gathered} 2(4)+3(4)+2=2(4+2)+2(4)+2 \\ 2(4)+3(4)+2=2(6)+2(4)+2 \end{gathered}\)Using PEMDAS, our 1st step will be to take care of only items in parentheses. So, if we do that to the above equation, we'll have the below equation;
\(8+12+2=12+8+2\)Let's go ahead and add up, we'll have;
\(22=22\)Therefore, both sides of the given equation are equal.
Related Questions
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answers
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
A quantity or value that does not change
1. quotient
2. constant
3. coefficient
4. sum
Answers
Answer:
constant
Step-by-step explanation:
It does not change the constant!
The value of 0.01 gramis equivlent to
Answers
Answer:
10 milligrams
Step-by-step explanation:
Answer:
1 milligrams
milligrams
Triangles ABC and EDC are similar.
ACE and BCD are straight lines.
Angle BAC = angle DEC
Angle CBA= angle CDE
AB = = 6 cm, BC = 2.5 cm, CD = 7.5 cm and CE = 10.5 cm.
Answers
Answer:
18cm
Step-by-step explanation:
The ratio is given by: 7.5/2.5=3
DE = 6 × 3 = 18 cm
or
DC/CB = x/AB
7.5/2.5 = x/6
3=x/6
x=6×3=18 cm
Please help 20 points. I will give Brainly to who ever get it right.
Answers
Answer:
Step-by-step explanation:
(-∞,2)
Ms. Johnson had 3/4 of a tank of gas when she started a trip. When she arrived home, she had 1/8 of a tank left.What fraction of a tank of gas was used during the trip
Answers
Answer:
5/8
Step-by-step explanation:
3/4 = 6/8
6/8 - x = 1/8
x = used gas = 5/8
x is the fraction used
3/4 - 1/8 = x
(8)3/4 - 1/8(4) = x
24/32 - 4/32 = x
20/32 = x
Simplify
20/32 (/4) = 5/8
Hence she used 5/8 of the tank
To check the answer
3/4 - 5/8 = 1/8
ANSWER:
5/8
can someone help with this!!! Im a little stuck!
Answers
what kind of math is this X_X
Find the surface area of the following cone.
Answers
Answer:
I think it is 381.7
Step-by-step explanation:
A= πr(+√h^2+r^2)
The population of a town increased from 3700 in 2005 to 5900 in 2009. Find the absolute and relative (percent) increase.
Absolute increase:
Relative increase:
%
Answers
The absolute increase in population is 2200, and the relative increase is approximately 59.46%.
To find the absolute and relative increase in population, we can use the following formulas:
Absolute increase = Final value - Initial value
Relative increase = (Absolute increase / Initial value) * 100%
Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:
Absolute increase = 5900 - 3700 = 2200
To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:
Relative increase = (2200 / 3700) * 100% ≈ 59.46%
Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.
The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.
Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.
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a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians
Answers
Answer:
\(\boxed {\boxed {\sf 29.25 \ inches}}\)
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
\(s= \theta r\)
Where s is the arc length, θ is the angle in radians, and r is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
θ= 3.25 r= 9 inSubstitute the values into the formula
\(s= (3.25)( 9 \ in)\)
Multiply.
\(s= 29.25 \ in\)
The arc length is 29.25 inches.
Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?
Answers
Answer:
yes
Step-by-step explanation:
5) Factor completely.
x² - 49
Answers
Answer:
( x + 7 ) ( x − 7 )
Step-by-step explanation:
by Factoring
2. Consider the following points.A (-2 ,20) and P (10, -13) AP undergoes the translation Thk (x,y), such that A' (-28,37) and P' (-16,4). Part A: Complete the following algebraic description. (x,y)--->( x + , y+ )Part B Which of the following statements is true? A. AP and A'P' have different locations B. AP and A'P' have different shapesC. AP and A'P have different sizes.D. AP and A'P have different directions
Answers
We have a transformation applied to points A and P.
It is a translation, so we can write the generic rule as:
\((x,y)\longrightarrow(x+a,x+b)\)being a and b constants.
If A is (-2,20) and A' is (-28,37), we can find the values of a and b as:
\(\begin{gathered} a=x^{\prime}-x=-28-(-2)=-26_{} \\ b=y^{\prime}-y=37-20=17 \end{gathered}\)Then, the rule becomes:
\((x,y)\longrightarrow(x-26,y+17)\)We will test it with P(10,-13):
\((10,-13)\longrightarrow(10-26,-13+17)=(-16,4)=P^{\prime}\)It gives P'(-16,4), so the rule is correct.
The segments AP and A'P' have the same length and orientation. The only difference is their location.
Answer:
(x,y)-->(x-26,y+17)
A. AP and A'P' have different locations.
PLEASE ANSWER AT LEAST 1. IF YOU ANSWER 2 I WILL GIVE BRAINEST, THANKS, 5 STARS, AND EXTRA 50 POINTS! 20 POINTS FOR EACH QUESTION ANSWERED. PLEASE HELP!!!
1. A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3. If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?
2. The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?
3. If the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m, what is the value of B, the area of the base?
4. What is the volume of a rectangular prism with a length of 15 yards, a width of 8 yards, and a height of 5 yards?
5. A teacher purchased a fish tank for her classroom. The dimensions of the tank are 36 inches by 60 inches by 48 inches. What is the maximum amount of water that the tank can hold?
Answers
Answer:
2nd ones answer is 13.5 m.
4th ones answer is 600 yard³.
5th ones answer 86400 cm³/m³
Please give 20 point for each question.
Factor 4x²-12x+5x-15
Answers
4x (x -3) +5 (x-3)
(4x+5) (x-3)
Answer: (4x+5) (x-3)
Answer:
\((4x+5)(x-3)\)
Step-by-step explanation:
We can separate this expression into two parts: \(4x^2-12x\) and \(5x-15\).
We can first take the first part and factor out 4x, getting \(4x(x-3)\).
We can then take the second part and factor out 5, getting \(5(x-3).\)
Now when we put these parts together, they make \(4x(x-3)+5(x-3)\\\).
The last step is to factor \((x-3)\) to get \((4x+5)(x-3)\).
what is the solution to the equation below? sqrt 2-3x / sqrt 4x =2
Answers
The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.
To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.
After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.
However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.
Therefore, this is the solution to the equation.
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Iceberg lettuce is grown and shipped to stores for about 50 cents a head, and consumers purchase it for about 110 cents a head. Find the percent increase.
Answers
Iceberg lettuce cost = 50 cents
consumer purchase = 110 cents
\(\begin{gathered} \text{percentage increase = }\frac{110-50}{50}\times100 \\ \text{percentage increase}=\frac{60}{50}\times100 \\ \text{percentage increase}=\frac{6000}{50} \\ \text{percentage increase}=\text{ 120\%} \end{gathered}\)A circular arc has measure 6cm and is intercepted by a central angle of 40°
Answers
Answer:
We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:
Length of arc = (central angle measure / 360) x 2πr
where r is the radius of the circle.
Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:
6 = (40/360) x 2πr
Simplifying the fraction and solving for r, we get:
6 = (1/9) x 2πr
r = 9 x 6 / 2π
r = 27/π
So the radius of the circle is 8.59 cm (rounded to two decimal places).
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?
Answers
Answer:
From Thursday to Friday, the change in the depth was 19/16 inches
or as a mixed number, 1 3/16 inches
Step-by-step explanation:
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches
now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8
so, 2 3/8 = 19/8 inches = depth change from monday to thursday
From Thursday to Friday, the depth changed by half as much,
so,
depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)
depth change from thursday to friday = 1/2(19/8) = 19/16 inches
PLEASE ANSWER!
Leo says that the product of n/n x 4/5 is greater than 4/5 because multiplication always increases the number.
Which of the following values for n proves that Leo is incorrect?
A. 2
B. 7/6
C. 5/8
D. 5/4
E. 6/6
Answers
Answer:
D
Step-by-step explanation:
PLEASE HELP!!!!!! Find common difference
Answers
Answer:
d = \(\frac{1}{2}\)
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 , thus
a₇ = a₁ + 6d
a₄ = a₁ + 3d
Given a₇ - 2a₄ = 1 , then
a₁ + 6d - 2(a₁ + 3d) = 1, that is
a₁ + 6d - 2a₁ - 6d = 1
- a₁ = 1 ( multiply both sides by - 1 )
a₁ = - 1
Given a₃ = 0 , then
a₁ + 2d = 0 , thus
- 1 + 2d = 0 ( add 1 to both sides )
2d = 1 ( divide both sides by 2 )
d = \(\frac{1}{2}\)
Is 9 a solution of the equation 9x+8=7x?
Answers
Answer:
Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad
Superwoman takes 4 hours to travel 26 miles running if she runs at the same rate how far will superwoman run in 7 hours
Answers
Answer:
(26/4)*7=45.5 miles
Step-by-step explanation:
Here is the histogram of a data distribution. All class widths are 1
What is the median of this distribution?
Answers
Explanation:
The median is the middle value, and there are 21 values values, so the middle would be the 11th value. Starting from the lowest value (2), you just count up to the 11th.
Order the expressions from least value to greatest value.
I added a screenshot
Answers
So basically if they’re numbered from left to right then it would be 1, 3, 4, 2.
Problem 1 has a solution of -15.36
Problem 2 has a solution of 0.85
Problem 3 has a solution of -1.44
Problem 4 has a solution of -1.2
In order -15.36 would be the least greatest, because it is the farthest from zero. Followed by -1.44, -1.2, and lastly 0.85.
Answer:
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Step-by-step explanation:
A standard number cube is rolled. Calculate: P(rolling a 5)
Answers
Answer:
\(\frac{1}{6}\)
Step-by-step explanation:
Total no. of outcomes = 1,2,3,4,5,6
No. of times 5 is on the cube =1
Therefore, probability of getting a 5 = \(\frac{1}{6}\)
please help me!! I’m bad at math!!
Answers
Answer:
50.24
-
And, you're not bad at math! You goot this correct! :)
Step-by-step explanation:
c=25.12
we can use this to find the raidus!
-
plug it back into the circumference formula first.
c=(pi)(d)
25.12=3.14*d
divide both sides by 3.14!
d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!
-
now we plug it into the area of a circle formula.
π · r2
3.14 * 4^2
3.14*16
50.24
graph h(x)=(x-1)^2-9
Answers
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
Which is a possible translation of x Greater-than-or-equal-to 5? A number is less than or equal to 5. A number is at least 5. A number is no more than 5. A number is more than 5.
WHO EVER ANSWERS WILL GET 100 POINTS
Answers
Answer:
b
Step-by-step explanation: