The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.
Answer:
An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.
Step-by-step explanation:
First we have to know about the middle number. The middle number between 24 and 92 is :
[tex]\frac {(24+92)}{2}= 58.[/tex]
Now positive difference is: 58-24=34 and 92-58=34.
Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as:
x-58≤34
what this means is that:
x-58≤34 or 58-x≤34
Further solving the equation gives: |x-58|≤34 ;
24≤x≤92
a baker orders 162 eggs. each carton contains 18 eggs. which equation can you use to find the number x of cartons? explain your reasoning and sold the equation.
To solve for the number of cartons the baker needs, divide the total number of eggs by the eggs in each carton. This gives the equation x = 162 ÷ 18. Solve the equation to find that the baker needs 9 cartons.
Explanation:The subject of this question is mathematics, specifically division. When a baker orders 162 eggs and each carton contains 18 eggs, to find out how many cartons (represented by x) the baker needs, we would need to divide the total number of eggs by the number of eggs in each carton. This gives us the equation:
x = 162 ÷ 18
Solving this equation, we find that x equals 9. Therefore, the baker needs to order 9 cartons of eggs.
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Answer please, Thanks. More questions coming.
what operation should be performed SECOND to solve this problem?
The Johnson family can fly from Washington DC to to London for $18 per mile per person the distance is 3,663 miles. how much will the trip cost if four people go?
A subtraction
B multiplication
C division
D addition
Which equation applies the associative property of multiplication? −65−(53−14)=(−65−53)−14 (−12⋅47)+(−12⋅23)=−12⋅(47+23) 89⋅74⋅(−58)=89⋅(−58)⋅74 (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Answer:
The ansewer is D. I just took the test. Happy Holidays!
Step-by-step explanation:
What is 3/2 on a number line
The image of number 3/2 is shown in number line is shown in figure.
We have to given that,
Number on a number line,
⇒ 3/2
Now, We can simplify as,
⇒ 3/2
⇒ 1.5
Therefore, A number 1.5 shown in figure.
So, The image of number 3/2 is shown in number line is shown in figure.
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Write this scientific notation in standard form.
3x10^-3
To write 3 × [tex]10^{-3}[/tex] power in standard notation, we first will start with
3. Next, we look at the exponent which in this case is negative so we will
have to move the decimal point 3 places to the left.
3. ⇒ 0.003
Therefore, 3 × [tex]10^{-3}[/tex] turned into standard notation is 0.003.
find the values of x and y
Answer:
The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].
Step-by-step explanation:
A Linear pair is a pair of adjacent angles formed when two lines intersect.
In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.
By linear pairs theorem, we have
[tex]80^{\circ}+4x-y=180^{\circ}[/tex]
[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]
On solving we get,
[tex]4x-y=100^{\circ}[/tex] ....(1)
[tex]5x+y=170^{\circ}[/tex] .....(2)
Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]
putting the value of x in equation 1 we get,
[tex]4x-y=100^{\circ}[/tex]
[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]
[tex]120^{\circ}-y=100^{\circ}[/tex]
On simplify we have, [tex]y=20^{\circ}[/tex]
Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]
108 centimeters 1.08 meters equation and exponent
To convert 108 centimeters to meters, divide by 100, since 100 centimeters equals 1 meter. Thus, 108 cm equals 1.08 meters, and the exponential form of 1.08 is 1.08 x 10⁰.
To convert 108 centimeters to meters, we use the fact that 100 centimeters is equal to 1 meter. If we have 108 centimeters and we want to express that in meters, we divide 108 by 100, since there are 100 centimeters in a meter.
Thus, 108 centimeters is equivalent to 1.08 meters. When we write 1.08 as an exponent, we express it as 1.08 imes 100, because any number to the power of 0 is 1, and thus the exponent does not change the value of 1.08.
Simplify the complex expression (3+2i) + (-4+6i)
How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Solve each literal equation for 'K'.
a) T=4K/M b) bm-Kn=14
ABCD is a square. What is the measure of angle BAC? °
Answer:
∠BAC = 45° is the measure.
Step-by-step explanation:
In a square all sides are equal and all the angles are 90°.
We have to measure the angle BAC.
since both the sides AB and BC of the triangle BAC are equal. Therefore angles opposite to these sides ∠BAC and ∠ACB will be equal.
Since ∠BAC + ∠ACB + 90° = 180° ( Sum of all angles of ΔABC = 180°)
∠BAC + ∠BAC + 90° = 180°(∠BAC = ∠ACB)
2∠BAC = 180 -90 = 90°
∠BAC = 90/2 = 45°
∠BAC = 45° is the answer.
PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13
A. t<=-15
B. t<=15
C. t<=11
D. t=>-11
if a number is a natural number then it is also a whole number
Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
a. True
b. False
All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive
Which is the line shown in the figure?
The average of 80 ,95 ,75 ,60
FCD=x+41, BCF=x+78, BCD=95. Find x
To find x in a geometry problem involving angle measures BCD, BCF, and FCD.
The given information:
- B = 77.08795270
- C₁ = -7.062084 257
- D₁ = -0.6291204730 E₁ -14.17590540 F₁-62.91204730
Step-by-step solution:
Express BCD as a combination of the other angles: BCD = BCF + FCD. Substitute the given values: 95 = (x + 78) + (x + 41).
Simplify the equation: 95 = 2x + 119.
Solve for x: 2x = 95 - 119 = -24, x = -12.
Help Please?
In which diagram do angles 1 and 2 form a linear pair?
Answer:
Step-by-step explanation:
it is the 4th one
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.
Answer:
Sample Response: A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
THIS IS CORRECT I GOT IT RIGHT
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animanl is faster and by how many miles per hour? There are 5,280 feet in one mile
the bison runs 3520 feet per minute
convert that to miles per hour
3520/5280 = 2/3 of a mile per minute
2/3 x 60 = 40 miles per hour
the bison runs 10 miles per hour faster
What is the completely factored form of 2x2 – 32?
A) (2x2 + 16)(x – 16) '
B) 2(x + 4)(x – 4)
C) 2(x + 8)(x – 4)
D) 2(x – 8)(x – 4)
The completely factored form of [tex]2x^2 - 32[/tex] is 2(x + 4)(x - 4).
Given that,
The equation is [tex]2x^2 - 32[/tex].We have to determine the factors of the above equation.Based on the above information, the calculation is as follows:
[tex]= 2x^2 - 32\\\\= 2(x^2 - 16)[/tex]
= 2(x + 4)(x - 4)
Therefore we can conclude that option B is correct.
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A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Which inequalities are among the constraints for this situation?
Select each correct answer.
12x+8y≤1000
12x+8y≥1000
x+y≥1000
x+y≤200
x+y≥200
12x+8y≤200
Answer:
Option B and Option D is correct.
The inequalities are among the constraints for the given situation is,
[tex]12x+8y\geq 1000[/tex] and [tex]x+y\leq 200[/tex]
Explanation:
Let x represents the number of regular ticket sold.
and y represents the number of student ticket sold.
then, 12x represents the regular tickets at $12 each,
and 8y represents the student tickets at $8 each.
As the manager wants to collect at least $ 1000 from the ticket sale or we can say that the manager wants $ 1000 or more from the ticket sale.
then, we have the inequalities for this;
[tex]12x+8y\geq 1000[/tex]
As, the theater can seat at most 200 people or we can also say that the theater can seat 200 or less people .
therefore, the inequalities for this we have;
[tex]x+y\leq 200[/tex]
Therefore, the inequalities are among the constraints for the given situation is,
[tex]12x+8y\geq 1000[/tex] and [tex]x+y\leq 200[/tex]
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
x=−5; y=−(−5)2−10(−5)+16
y= −25+50+16 = −25+66 = 41
Vertex (−5,4)
What is the factored resulting perfect trinomial for x squared + 14x?
Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.
What scale factor was used in the dilation?
−6/5
−5/6
5/6
6/5
Answer:
Just took the test and the answer was 5/6
The answer is in the screenshot for future people looking for answers :-)
Which of the following inequalities is not true?
-22 < 3
|-1| ≥ 0
|-9| ≠ |9|
-7 ≤ -5
Answer:
ccccccccccccccccccccc
Step-by-step explanation:
The false statement is |-9| ≠ |9|.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
-22 < 3 is true.
|-1| ≥ 0
It is true because |-1| is +1. which is greater than 0.
|-9| ≠ |9|
It is false because |-9| = +9 and |9|= 9 which are equal.
-7 ≤ -5
It is true because the smaller the small the negative number the greater its value.
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State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = x2+3x+2 x2+5x+4 . why is there no zero at x = –1?