Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
Find the value of x. Then find the measure of each labeled angle
Answer:
x = 111°
x° = 111°
(x-42)° = 69°
Step-by-step explanation:
Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.
Therefore this right trapezoid must have an interior angle sum of 360° because
a trapezoid has 4 sides → n = 4 →
(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°
Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.
The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!
180° + 2x - 42° = 360°
(Group the constants / numbers without a variable ; associative property of addition)
180° - 42° + 2x = 360°
(Find the total value of the constants)
138° + 2x = 360°
(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)
138° - 138° + 2x = 360° - 138°
(Work out the value of the constants again)
2x = 222°
(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)
2x / 2 = 222° / 2
(Simplify the two expressions)
x = 111°
_____________________
To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!
So:
x = 111° → x° = 111°
x = 111° → (x-42)° → (111 - 42)° = (69)° →
(x-42)° = 69°
Find the value of x.
Answer:
x = 29
Step-by-step explanation:
The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.
2x - 10 + 4x + 16 = 180
6x + 6 = 180
6x = 174
x = 29
Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.
Where does the graph intersect the y-axis (answer should be an ordered pair)?
Given:
The equation is
[tex]1.5x+4.5y=18[/tex]
To find:
The y-intercept (in ordered pair).
Solution:
We have,
[tex]1.5x+4.5y=18[/tex]
Putting x=0, we get
[tex]1.5(0)+4.5y=18[/tex]
[tex]0+4.5y=18[/tex]
[tex]4.5y=18[/tex]
Divide both sides by 4.5.
[tex]y=\dfrac{18}{4.5}[/tex]
[tex]y=4[/tex]
So, y-intercept is 4.
Therefore, the graph intersect the y-axis at (0,4).
19. Find 3 consecutive integers such that twice
the least integer is 12 more than the greatest
integer.
Answer:
et's start by defining the three consecutive integers.
.
If x represents the least of the three, then the next consecutive integer is x+1 and the
next consecutive integer is 1 more than that ... or x + 2
.
So the three consecutive integers are x, x+1, and x+2.
.
Twice the least integer is, as you correctly wrote, 2x.
.
12 more than the greatest integer is x+2 + 12 = x + 14
.
Since these two amounts must be equal, you can write:
.
2x = x + 14
.
Now you need to get rid of the x on the right side so that you end up with all the terms
containing x on one side of the equation and everything else on the other side. You can
get rid of the x on the right side by subtracting x from the right side. But if you subtract
something from the right side, you must also subtract it from the left side to keep the
equation in balance. So subtract x from both sides. When you do that, the x disappears
from the right side and the left side becomes 2x minus x which is just x.
.
So the equation is reduced to:
.
x = 14
.
If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the
three consecutive integers are 14, 15, and 16.
.
Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more
than the greatest integer which is 16? Yes it is, so the problem checks.
.
You were on the right track, but you just needed to know the difference in the three integers
was that they were x, x+1, and x+2. Hope this helps to show you how you could work the
problem through to get the final answer.
Step-by-step explanation:
what is an y-intercept
Answer:
the point where the line on the graph meets the y-axis
Answer:
What is an y-intercept ?
A y-intercept is in analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x= 0.
Step-by-step explanation:
need this asap!!! will give brainliest and a thanks! :))
Answer:
The answer is A
Step-by-step explanation:
I am smart
Solve 2 + 1/6x = -4.
X=
PLEASE HELP!
In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
Answer:
The answer is 2nd one
2nd pair of triangle is congruent by ASA(angle side angle)
Answer:
2nd option is correct.
will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2
Answer:
uh 36
Step-by-step explanation:
did you really need this answer or did u just felt like giving away points
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?
A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem
Answer:
C.
Step-by-step explanation:
c is the only one that even makes sense
C. Distribute 6 to eliminate the parentheses.
What are some rules to solve an equation ?To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.
According to the given question
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.
6( 2x + 1 ) - 3 = 4x - 5
12x + 6 - 3 = 4x - 5
12x + 3 = 4x - 5
12x - 4x = - 5 - 3
8x = - 8
x = -8/8
x = -1
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what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507
Answer:
C. 0.99493
Step-by-step explanation:
Hope this helps!
The probability that the person will not die in the next year should be considered as the 0.00943.
Calculation of the probability:Since
the probability that a person will die in the next year is 507/100,000
So, it can be like
[tex]= (100,000 - 507) \div 100,000[/tex]
= 0.99493
hence, The probability that the person will not die in the next year should be considered as the 0.00943.
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I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.
The point 3/4 of the way from A(-4,- 7) to B(12, 5)
Answer:
The coordinates of C are (8,2)
Step-by-step explanation:
We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.
This means that:
[tex]d_{AC}=3/4\cdot d_{AB}[/tex]
where dAC is the distance from A to C and dAB is the distance from A to B.
The same proportion of the distances is satisfied by the coordinates of the point C, that is:
[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]
Adding xA:
[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]
[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]
Similarily:
[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]
Calculating:
[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]
x = 8
[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]
y = 2
The coordinates of C are (8,2)
Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450
Answer:
A. x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
A x + 200 = 450
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction
Given:
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
To find:
The correct multiplication that can be used to check this division problem.
Solution:
We have,
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]
Multiply both sides by [tex]\dfrac{4}{15}[/tex].
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].
Therefore, the correct option is B.
Answer:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Two-fifths times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 15 Over 4 EndFraction
Five-halves times StartFraction 15 Over 4 EndFraction
Step-by-step explanation:
( B) AKA 3/2 x 4/15 . This is correct because I just took the test
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
Segment AB is the diameter of circle M. The coordinates of A are (-3, 8). The coordinates of M are (1,6). What are the coordinates of B?
1)(-7,10)
2)(5,4)
3)(-1,7)
4)(-2,1)
explanation/work needed :(
Answer:
b
Step-by-step explanation:
Mike is cutting bows out of ribbon which will be used to warp gifts. If mike needs 3 1/2 feet of ribbon to make a bow, and he has 14 feet of ribbon, then how many bows can mike make?
Answer:
Mike can make 4 bows
Step-by-step explanation:
Given
[tex]1\ bow = 3\frac{1}{2}\ ft[/tex]
[tex]Ribbon = 14\ ft[/tex]
Required
Determine the number of bows he can make
To do this, we simply divide the length of the ribbon by length of 1 bow:
i.e.
[tex]Number = Ribbon/1\ bow[/tex]
[tex]Number = 14\ ft/3\frac{1}{2}\ ft[/tex]
[tex]Number = 14/3\frac{1}{2}[/tex]
[tex]Number = 14/\frac{7}{2}[/tex]
Convert to *
[tex]Number = 14 * \frac{2}{7}[/tex]
[tex]Number = \frac{28}{7}[/tex]
[tex]Number = 4[/tex]
Hence, Mike can make 4 bows
What is the value of any number raised to the 0 power?
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
Answer: The answer is 27
Given:
Mr. Roberts will drive 56 milesHe has 29 more miles to goWe will:
Subtract the total distance he plants to travel by the amount he has left.
Equation: [tex]\mathrm {56 - 29 = 27}[/tex]
Our answer is 27. Best of Luck!
Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?
Answer:
-3
Step-by-step explanation:
Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.
In the formula given, sales is represented as s. To find the total sales, you can solve the equation:
300 + 0.07s = 426
0.07s = 426 - 300
s = 126 / 0.07
= $1,800
In conclusion, Mr. Randall sold $1,800 worth of goods.
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Find the slope of each line in the figure.
Slope of p =
Slope of q =
Slope of r =
Slope of m =
Slope of n =
Answer:
slope of p= -7/12
slope of q= -3/6.8
slope of r= -16/6.4
slope of m= 6.2/15.5
slope of n= 6.8/17
Step-by-step explanation:
The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The slope of the given lines can be obtained as follows,
(a) In order to find slope of line p,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-3 - 8)/(0.4 - (-4))
⇒ m = -2.5
(b) In order to find slope of line q,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - 0)/(6.8 - 12)
⇒ m = -2.5
(c) In order to find slope of line r,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - (-3))/(6.8 - 0.4)
⇒ m = 2.5
(d) In order to find slope of line m,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-15.5 - 0)/(0 - 6.2)
⇒ m = 2.5
(e) In order to find slope of line n,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-5 - 12)/(- 6.8 - 0)
⇒ m = 2.5
Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.
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A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
Can somebody plz answer these 3 questions correct!!! Help
(WILL MARK BRAINLIEST
it increases 3° each hour
3*2= 6
6° after 2 hours
3*3= 9
9° after 3 hours
3*6= 18
18° after 6 hours
What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 36. Fully reduce your answer.
Answer:
Submit Answer
attempt 1 out of 2
9514 1404 393
Answer:
-1
Step-by-step explanation:
Solving the given equation for y, we have ...
x -y = 18
y = x - 18 . . . . . add y-18
The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:
m = -1/1 = -1
The slope of the perpendicular line is -1.
__
The graph shows you that a line with slope -1 is perpendicular to the given line.
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
Answer:
9
Step-by-step explanation:
because thats the answer i just did the quiz
have a good day
The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
How to find the solution to a quadratic equation?Given the quadratic equation
(x+2)^2=a
If one of the solution is 1, then x = 1
substitute
(1 + 2)^2 = a
3^2 = a
a = 9
Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
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The fraction 13/16 is closest to which benchmark?
zero
three-sixteenths
one-half
one
Answer:
♡ madeline here ♡
- 1 is your answer. ✿
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The high temperature on Monday was -14 degrees.
On Tuesday the high temperature was 24 degrees.
The temperature difference between Monday and Tuesday.
= Temperature on Tuesday - Temperature on Monday
= 24 - (-14)
= 24 + 14
= 38
Thus,
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
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