How do i solve for x 30x - 60 = 20x
I already know x equals 6, but i dont know how to get the answer
In the diagram below bd is parallel to xy what is the value of x
It’s 83
Step-by-step explanation:
To add a value 1 to variable x, you write ________.
The correct expression after adding a value 1 to variable x is 1 + x.
Used the concept of expression that states,
A mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
Add a value of 1 to variable x.
Here, the number is 1 and the variable is x.
Hence add the number 1 and x is written as,
1 + x
So, the expression is, 1 + x
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Write the domain of the function given in the graph in set builder notation.
a. {x|x<=10}
b. {x|x<=0}
c. {x|x>10}
d. {x|x>0}
I can't get a picture of the graph so I'll try to explain. Y axis 0-5, going up by 1's, x axis 0-50, going up by 5's. Line starts at 10 on the x axis, goes up at an angle and stops at 40.
What is the general process for solving an equation with one variable
How to find slope of any given line segment?
the current value of a baseball card is 80 times its original value the baseball card is worth $36 write and solve an equation to find the original value of the baseball card
To find the original value of a baseball card that is now worth 80 times its original value, you divide the current value of $36 by 80, resulting in an original value of $0.45.
Explanation:The student wants to find the original value of a baseball card that is currently worth 80 times its original value and has a present worth of $36. We set up the equation: original value multiplied by 80 equals current value (80 × original value = $36). To find the original value, we divide the current value by 80.
Write the equation: 80 × original value = $36.Divide both sides of the equation by 80 to isolate the original value. So, original value = $36 ÷ 80.Calculate the result: original value = $0.45.The original value of the baseball card was $0.45.
The lateral surface area of the wrapper for an ice cream cone is 47.1 cm squared.If the lateral height of the ice cream cone is 6cm,what would be the radius of the ice cream cone?
g = 4ca - 3ba for a plzzzzz help me answer
The value of afrom the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]
Further explanation:
PEDMAS rule is use to solve the grouping of multiplication, addition, subtraction and division.
P denotes the parenthesis, E denotes the exponents, M denotes the multiplication, D denotes the division, A denotes the addition and S denotes the subtraction.
Given:
The expression is [tex]G = 4ca - 3ba.[/tex]
Explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
The given expression is [tex]G = 4ca - 3ba.[/tex]
The factors of [tex]4ca[/tex] can be expressed as follows,
[tex]\begin{aligned}A&= 4ca\\&= 4 \times c \times a\\\end{aligned}[/tex]
The factors of [tex]3ba[/tex] can be expressed as follows,
[tex]\begin{aligned}B &= 3ba\\&= 3 \times b \times a\\\end{aligned}[/tex]
The common factor between [tex]4ca[/tex] and [tex]3ba[/tex] is [tex]a[/tex].
The value of a can be obtained as follows,
[tex]\begin{aligned}G&= a\left( {4c - 3b} \right)\\\frac{G}{{\left( {4c - 3b} \right)}} &= a\\\end{aligned}[/tex]
The value of [tex]a[/tex] from the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, solve the equation, solution, linear equation.
The real number -16 belongs to which sets of numbers?
-16 is an integer and rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means natural numbers are not irrational.
The counting numbers or natural numbers are like 1,2,3,4,5,6, etc
Note that whole numbers include counting numbers, but with 0, so 0,1,2,3,4, 5, etc
Also rational numbers are numbers that can be written in form a/b where a and b are integers and b≠0
so -16 is an integer and rational number
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Kaitlin drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles?
from the top of a vertical tower 248 m high , a stone is projected vertically downwards with a speed of 8 ms . After x seconds another stone is projected vertically upwards from the level of the base of the tower with a speed 25 ms . Given that two stones are at same height moving in the same direction 6 seconds after projection of the first stone , calculate :
1) value of x
2) the velocity of the second stone at this instant
The value of x, which is the time delay between the two stones' projections, is 1.4 seconds. The velocity of the second stone 6 seconds after the first stone's projection (so 1.4 seconds after its own projection) is 11.32 m/s.
Explanation:This question involves physics concepts, particularly with motion under gravity, velocity, and displacement. We need to use these principles of Physics to solve the problem.
First, let's calculate the displacement of the first stone 6 seconds after it is thrown. Since the stone is thrown downwards, its final displacement (S1) is given by the equation of motion:
S1 = ut + 0.5gt2, where u is initial velocity (8 m/s), g is acceleration due to gravity (9.8 m/s2), and t is the time (6 seconds).
Therefore, S1 = 8*6 + (1/2)*9.8*6*6 = 48 + 176.4 = 224.4 m.
The first stone is thrown from a tower of height 248 m, so its displacement from the base of the tower is
248 - S1 = 248 - 224.4 = 23.6 m.
The second stone is thrown upwards from the base of the tower, Therefore, after t=x seconds, it travels upward by S2 = ut - 0.5gt2 (=25x - 0.5*9.8*x2).
At t=6 seconds, it must be at a the same height as the first stone (23.6 m). So we set 25x - 0.5*9.8*x2 = 23.6, and solve this quadratic equation to find x = 1.4 seconds.
The second part of the question asks for the velocity of the second stone at this instant. The velocity of an object thrown upward-moving object is given by
v = u - gt, here u = initial velocity = 25 m/s, g = 9.8 m/s2 and t=x=1.4 seconds. Plugging in these values, we find that v = 25 - 9.8*1.4 = 11.32 m/s.
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True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for μ will be relatively short
XY=7a,YZ=5a,XZ=6a+24
The sum of 5 consecutive even numbers is 505 What is the third number in this sequence?
you can't have 5 even numbers add to 505
even numbers can only add up to an even number.
Which ordered pairs are solutions to the inequality 4x+y>−6?
Select each correct answer.
(2, 0)
(−3, 6)
(4, −20)
(0, −9)
(−1, −1)
Answer:
(2,0) , (4,-20) and (-1,-1)
Step-by-step explanation:
[tex]4x+y>-6[/tex]
WE need to select an ordered pair that is solution to our inequality
Lets check with each option
(2,0) , plug in 2 for x and 0 for y
[tex]4x+y>-6[/tex]
[tex]4(2)+0>-6[/tex]
[tex]8>-6[/tex] True
(−3, 6), plug in -3 for x and 6 for y
[tex]4x+y>-6[/tex]
[tex]4(-3)+6>-6[/tex]
[tex]-6>-6[/tex] False
(4, −20) , plug in 4 for x and -20 for y
[tex]4x+y>-6[/tex]
[tex]4(4)-20>-6[/tex]
[tex]-4>-6[/tex] True
(0, −9) , plug in 0 for x and -9 for y
[tex]4x+y>-6[/tex]
[tex]4(0)-9>-6[/tex]
[tex]-9>-6[/tex] False
(-1, −1) , plug in -1 for x and -1 for y
[tex]4x+y>-6[/tex]
[tex]4(-1)-1>-6[/tex]
[tex]-5>-6[/tex] True
Final answer:
The ordered pairs that are solutions to the inequality 4x+y>-6 are (2, 0), (4, -20), and (-1, -1) as they satisfy the condition when substituted into the inequality.
Explanation:
To determine which ordered pairs are solutions to the inequality 4x+y>-6, we need to plug the x and y values from each ordered pair into the inequality.
For the pair (2, 0), we substitute x = 2 and y = 0 into the inequality: 4(2) + 0 > -6, which simplifies to 8 > -6. This is true, so (2, 0) is a solution.For the pair (-3, 6), we substitute x = -3 and y = 6: 4(-3) + 6 > -6, which simplifies to -12 + 6 > -6. This gives -6 > -6, which is not true, so (-3, 6) is not a solution.For the pair (4, -20), we substitute x = 4 and y = -20: 4(4) - 20 > -6, which simplifies to 16 - 20 > -6. This gives -4 > -6, which is true, so (4, -20) is a solution.For the pair (0, -9), we substitute x = 0 and y = -9: 4(0) - 9 > -6, which simplifies to -9 > -6. This is not true, so (0, -9) is not a solution.For the pair (-1, -1), we substitute x = -1 and y = -1: 4(-1) - 1 > -6, which simplifies to -4 - 1 > -6. This gives -5 > -6, which is true, so (-1, -1) is a solution.The correct solutions to the inequality are the ordered pairs (2, 0), (4, -20), and (-1, -1).
Find the slope and Y intercept for 6x - 2y=12
The measure of an angle and the measure of its supplement are equal. find the measure of each of the supplementary angles
Answer:
Step-by-step explanation:
Sorry, here are the problems:
160: 20 degrees
90: 90 degrees
X: ____
If K is between J and L then JK + KL = JL
By setting up an equation based on the fact that K is between J and L, we found that x = 6. Substituting this value back into the expression for KL, we determined that KL = 8.
To find the value of x and KL, we'll first set up an equation using the fact that K is between J and L, which means JL = JK + KL. Substituting the given expressions:
5x - 10 = 2x + (x + 2)
Now, solve for x:
[tex]\[5x - 10 = 2x + x + 2\][/tex]
[tex]\[5x - 10 = 3x + 2\][/tex]
[tex]\[5x - 3x = 2 + 10\][/tex]
[tex]\[2x = 12\][/tex]
[tex]\[x = 6\][/tex]
Now that we have found the value of [tex]\(x\)[/tex], we can find [tex]\(KL\)[/tex] by substituting \(x = 6\) into the expression for KL:
[tex]\[KL = x + 2 = 6 + 2 = 8\][/tex]
So, x = 6 and KL = 8.
The question probable maybe:
Find the value of x and KL if K is between J and L. JK=2x, KL=x+2, and JL=5x-10.
An airplane descend 1.5 miles to an elevation of 5.25 miles. Find the elevation of the plane before its descent.
Question 35
The paint company says that we need to buy one gallon of paint for each 350 square feet of walls that we want to paint. How many gallons of paint do we need to buy?
1
2
3
4
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 in. What should the width of the model be?
Answer:
Width of the model is:
17.5 in
Step-by-step explanation:
The length of the classroom is 2.4 times its width.
Length=2.4×width
The length of the student's model is 42 in.
Let w be the width of student's model.
By using the equation Length=2.4×width , we get
42=2.4×w
⇒ [tex]w=\dfrac{42}{2.4}[/tex]
⇒ w=17.5
Hence, width of the model is:
17.5 in
Answer:answer is actually 17.5 in
Step-by-step explanation:
The sum of 3 consecutive integers is 270. what is the second number in the sequence
whats an irrational number between 9.7 and 9.9
How to simplify 8x2+7x-3+4x-8
f(x)=(x)^2 is vertically stretched by a factor of 4 and translated 4 units left to create g(x)
Help please ASAP!!!!!!!
Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.
A. 15 - 35 / 7 -2 + 3 -4
B. 10 + 2(9 - 5) - 16 / 18
Evaluated solution of the expressions as (A) 7 and (B) 17.11.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
⇒ 15 - 35/7 - 2 + 3 - 4
⇒ 15 - (35/7) -2 + 3 - 4
Apply the division operation,
⇒ 15 - 5 - 2 + 3 - 4
Rearrange the terms in the above equation
⇒ 15 + 3 - 5 - 2 - 4
⇒ 18 - 11
Apply the subtraction operation,
⇒ 7
⇒ 10 + 2 (9-5) - 16/18
⇒ 10 + 2(4) - 8/9
⇒ 10+8 - 8/9
Apply the addition operation,
⇒ 18 - 8/9
⇒ 162/9-8/9
Take the LCM,
⇒ 154/9
Apply the division operation,
⇒ 17.11
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lisa runs 3.6 km on monday 4.2 km on wednsday and 5.7 km on saturday.what is the average distance she ran each day during the week
Which figures can be precisely defined by using only undefined terms? Check all that apply. angle arc circle line segment parallel lines
Answer:
circle, line segment, and parallel lines
Step-by-step explanation:
A circle is the set of all points a given distance from a fixed point called a center. This only uses the undefined term "point."
A line segment is a portion of a line with two distinct endpoints. This uses the undefined terms "line" and "point."
Parallel lines are lines that never intersect. This uses the undefined term "line."
An angle is two rays joined at a common point called the vertex. While this does use the undefined term "point," it also uses the defined term "ray." This is not one of our options.
An arc is a portion of the circumference of a circle. This uses the term "circle," so it is not one of our options.
Evaluate the expression. Must rewrite the expression without the exponent before evaluating (-12)^2
Answer:
(-12)^2 = -12 * -12 = 144