The steps below show the incomplete solution to find the value of x for the equation
7x − 3x − 4 = −1 + 21:
Step 1: 7x − 3x − 4 = −1 + 21
Step 2: 7x − 3x − 4 = 20
Step 3: 4x − 4 = 20
Which of these is most likely the next step?
4x = 24
4x = 16
4x = 5
4x = 80
The most likely step after the step3 is 4x = 24.
Linear Equation in one variable:
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
we have, a linear equation in variable x, 7x - 3x -4 = -1 + 21
For solving the above equation we will do the following steps
7x -3x -4 = -1 +21
Step1: 4x - 4 = 20
Step2: 4x - 4-20= 0
Step3: 4x -24 = 0
Step4: 4x = 24
Step5: x =24/4 =6
Hence, the most likely step after the step3 is 4x = 24.
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What is the solution to the following equation?
2(3x − 7) + 18 = 10
1
3
5
6
Select all of the following expressions that are equivalent to ab - 2 = c
a = c/b -2
b = c + 2/a
ab = c + 2
a - c/2 = b
b - 2/c = a
a = c + 2/b
Answer:
Option C.
Step-by-step explanation:
The given expression is ab - 2 = c
Option a : a = [tex]\frac{c}{b}[/tex] - 2
ab = c - 2b
Not equivalent to the original expression.
Option b : b = c + [tex]\frac{2}{a}[/tex]
ab = ac + 2 ⇒ [tex](\frac{ab-2}{a})[/tex] = c
Not equivalent
Option c : ab = c + 2
ab - 2 = c
Equivalent to original expression
Option d : a - [tex]\frac{c}{2}[/tex] = b
2a - c = 2b
Not equivalent
Option e : b - [tex]\frac{2}{c}[/tex] = a
bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]
Not equivalent
Option f : a = c + [tex]\frac{2}{b}[/tex]
ab = bc + 2
[tex](\frac{ab-2}{b} )[/tex] = c
Not equivalent
A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?
Please show working out.
ONLY THE CORRECT ANSWERS PLEASE!!!!
Which term best represents the intersection of two pages of an open book?
A. line
B. angle
C. plane
D. point
draw a diagram of eli's walking pattern
Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal
if the area of a square is 529 in 2 , what is the length of a side of the square
Farmer George is painting 3 chicken coops. He started painting this morning. Now he only has 3/4 of a chicken coop left to paint this afternoon. how many chicken coops did farmer George paint this morning
Farmer George has painted 2 1/4 chicken coops this morning. This is calculated by subtracting the remaining part of the chicken coop(3/4) from the total chicken coops(3).
Explanation:Farmer George had 3 chicken coops to paint in total. He only has 3/4 of one chicken coop left to paint. We can subtract the amount of work left from the total amount of work to figure out how much work he has done already.
So, if we take the total amount of chicken coops (which is 3) and subtract the remaining part that needs painting (which is 3/4), we will know how many chicken coops Farmer George has painted this morning.
The calculation is as follows: 3 - 3/4 = 2 1/4 coops
So, Farmer George completed painting 2 whole chicken coops and 1/4 of the third chicken coop this morning.
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Farmer George painted 2.25 chicken coops this morning. This is calculated as the total number of chicken coops (3) minus the remaining part of the chicken coop left to paint (3/4).
Explanation:The question is asking us about how many chicken coops Farmer George painted this morning. Farmer George started with 3 chicken coops and now has 3/4 of a chicken coop left to paint. Since he's already started painting the last chicken coop, this means he has painted 2 whole coops and 1/4 of the last coop. Thus, the answer to how many chicken coops Farmer George painted this morning is 2.25 chicken coops. Mathematically, this is calculated as 3 (the total number of chicken coops) minus 3/4 (the remaining part of the chicken coop left to paint).
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this,is multiplication variables 2 (5x × 3y)=
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99. What is the percent increase in the cost due to the fee?
A.6%
B.7%
C.8%
D.9%
Answer:
A.6%
B.7%
C.8%
D.9%
Which set of side lengths forms a right triangle??
the slopes of two lines are 5/6 and 2/p determine the value of p that will make the lines parallel
Alvin is 12 years older than Elga. The sum of their ages is 112. What is Elga's age?
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.
By calculation, the length of the 3rd side is calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
A. 51
B. 36
C. 72
D. 17
The length of the missing side = side B = 17 (D) or 51(A)
Further explanationTriangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]
where c = hypotenuse
a and b = side/leg
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
or
the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse
While the angle formulas used are
sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent
From the problem it is known that side A = 38 ,side b = b, side c = 34
There are 2 possible solutions to this problem because the image does not exist:
1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse sidePossible Solution no 1
A² = C²+B²(A=hypetenuse)
B² = A²-C²
B² = 38² - 34²
B² = 288
B = √288
B = 16.97, round to the nearest tenth ⇒ 17 (answer D)
Possible Solution no 2
B² = A²+C²(B=hypotenuse)
B² = 38² + 34²
B² = 2600
B = √2600
B = 50.99, round to the nearest tenth ⇒ 51 (answer A)
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What is the constant of variation for the quadratic variation? 6y = 4x2
How does ray ab and ac form both a line and angle
How do i solve this equation: 4/5a + 3 = 1/3a - 8
A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month: x = 0.8x + 72 How many people who became members of the site that month were between 30 and 40 years of age?
x = 0.8x + 72
when x is alone you can say it is 1x
Subtract 0.8x from both sides:
0.2x = 72
x = 72/0.2
x = 360
To solve the equation x = 0.8x + 72, subtract 0.8x from both sides and then divide by 0.2 to solve for x. The result is 360.
Explanation:To solve the equation x = 0.8x + 72, we need to isolate the variable x on one side of the equation. First, subtract 0.8x from both sides: x - 0.8x = 0.8x + 72 - 0.8x. Simplifying this gives 0.2x = 72. Then, divide both sides by 0.2 to solve for x: x = 72 ÷ 0.2 = 360. Therefore, 360 people who became members of the site that month were between 30 and 40 years of age.
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write with fractional exponents. (do not use parenthesis) (4)√y^3)
x/10+5/12= 3x-1 what is x
Find the equivalent function to f(x) = 3(6)^2x
Answer:
f(x) = 3(36)x
f(x) = 182x
f(x) = 108x
f(x) = 9x(36x)
Step-by-step explanation:
Plzzzz help me ??!?!?!??
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle
The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Answer:
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Step-by-step explanation:
Which statement best compares the rate of change of the two functions?
The rate of change of a function is reflected in the steepness of its graph. A function with a higher rate of change will have a steeper line. The correct comparison statement will depend on the specific slopes of Line A and Line B.
Explanation:In the context of this question, the rate of change refers to the steepness of the lines or the slopes of the functions represented by the lines. When comparing the rates of change of two functions, you look at how steep or flat each line is.
Let's consider the statements given:
Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.Line A is a decreasing line while line B is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.To determine the best statement, analyze the steepness of the lines. For example, if Line A is decreasing and much steeper than Line B, then it would have a larger (but negative) rate of change.
Remember, the
rate of change
in a function can be understood as the rate at which the y-values are changing for each increment in the x-values. A higher rate of change means the function is increasing or decreasing more quickly.
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The correct answer to the question *interquartile range
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8x-2y-5=11 write the equation in function form