Answer: Lena eats 1/4 of the whole bar
Step-by-step explanation:
Half of the bar is 50. A full bar would be 100%. If Phillip has half, amd Lena eats half of that half, she eats 0.25 out of 0.5. 0.5 is half of the whole bar, so 0.5×0.5 is 1, and if lena ate 0.25 of 1, that is 1/4.
Question is in picture, please please help
Answer:
b. 42.875 units³
Step-by-step explanation:
The volume of a cuboid is the product of its edge dimensions (length×width×height):
(3.5 units)(3.5 units)(3.5 units) = 3.5³ units³ = 42.875 units³
suppose that y varies inversely with x, and y=0.2 when x=8. what is the equation for the inverse variation
Answer:
xy = 1.6
Step-by-step explanation:
The equation for inverse variation is
xy = k where k is the constant of variation
8 * .2 = k
1.6 = k
xy = 1.6
A bag contains purple marbles and blue marbles ,27 in total . The number of purple marbles is 3 less than 4 times the number of blue marbles . How many purple marbles are there
[tex]p+b=27\\p=4b-3\\\\4b-3+b=27\\5b=30\\b=6\\\\p+6=27\\p=21[/tex]
21
Final answer:
To determine the number of purple marbles, we can use a system of linear equations derived from the problem's conditions. Solving these gives us 21 purple marbles in the bag.
Explanation:
To solve the problem, let's denote the number of blue marbles as x and the number of purple marbles as y. According to the problem, the total number of marbles is 27, which is our first equation, x + y = 27. Additionally, the number of purple marbles is 3 less than 4 times the number of blue marbles, giving us a second equation, y = 4x - 3.
Now, we'll solve for x using substitution. We place the expression for y from the second equation into the first equation:
x + (4x - 3) = 27
5x - 3 = 27
5x = 30
x = 6
Since x is 6, we can find y by substituting back into the second equation:
y = 4(6) - 3
y = 24 - 3
y = 21
There are therefore 21 purple marbles in the bag.
simplify. -x/17 = -0.9
a. -15.3
b. 15.3
c. 153
d. -153
Answer:
[tex]\large\boxed{b.\ 15.3}[/tex]
Step-by-step explanation:
[tex]-\dfrac{x}{17}=-0.9\qquad\text{multiply both sides by (-17)}\\\\(-17\!\!\!\!\!\diagup^1)\left(-\dfrac{x}{17\!\!\!\!\!\diagup_1}\right)=(-17)(-0.9)\qquad{/(-)(-)=(+)/}\\\\x=15.3[/tex]
A rectangle has a length of 9 centimeters and a width of x centimeters. The perimeter of the rectangle is 28 centimeters. What is the value of x?
NEED HELP!!
Answer:
x=5
Knowing that the length of the rectangle is 9, we can simply multiply this by 2 since there are two sides that will equal the same. This gets us 18. If we subtract that from 28, we get 10. There are four sides in a rectangle, meaning we have two sides left. This leaves us to divide 10 by two to get a final answer of the width of the retangle being 5 centimeters.
The value of x, which represents the width of the rectangle, can be found by inserting the given length and perimeter into the perimeter formula of a rectangle, P = 2L + 2W. Then, solve for W to get the value of x.
Explanation:The first step to solve this problem is to understand the formula for the perimeter of a rectangle. This formula is P = 2L + 2W, where P is the perimeter, L is the length and W is the width. We know that the length (L) is 9 cm and the perimeter (P) is 28 cm based on the problem given. We are looking to find the value for x which represents the width (W).
Let's substitute the given values into the formula:
28 = 2(9) + 2W.
This simplifies to:
28 = 18 + 2W.
Now, let's solve for W by subtracting 18 from both sides of the equation:
10 = 2W.
To isolate W, divide both sides of the equation by 2:
W = 5
So, the value of x, which represents the width of the rectangle, is 5 cm.
https://brainly.com/question/32610670
#SPJ2
Find the value of x in the following equation: x/2 + 2x/5 = 18 A. x = 11/2 B. x = 2 C. x = 255/7 D. x = 20
Answer: x = 20
Step-by-step explanation:
Multiply by 10 ( next LCF )
10 ( x / 2 + 2x / 5 ) = 18 * 10
5x + 4x = 180
9x = 180
x = 20
Answer:
[tex]\dfrac{x}{2} + \dfrac{2x}{5} = 18[/tex] has the unique solution x = 20.
Step-by-step explanation:
The equation has the equivalences
[tex]\displaystyle\frac{x}{2} + \frac{2x}{5} = 18 \Leftrightarrow x\left( \frac{1}{2} + \frac{2}{5} \right) = 18 \Leftrightarrow x \left( \frac{9}{10} \right) = 18 \Leftrightarrow x = 18 \cdot \frac{10}{9} = 20.[/tex]
Nathan is flipping a coin three times.
What is the probability that it will land on tails twice and heads once?
Answer:
There is a 1 and 6 chance (16.666...%)
Help!! I cant figure this out for some reason
Answer:
x³ - 6x² + 18x - 10
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x³ - 2x² + 12x - 6 - (4x² - 6x + 4)
= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms
= x³ - 6x² + 18x - 10
Need help fast!!!!!!!!!!! Discuss how to convert the standard form of the equation of a circle to the general form. 50 points
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where h, k an r are real numbers that can be added at the end.
First, to get to the general form of a circle, you have to expand the binomials. Meaning,
[tex](x-h)^2=x^2-2xh+h^2[/tex] and
[tex](y-k)^2=y^2-2yk+k^2[/tex].
After you do this, then the h^2, k^2, and r^2 terms can be added together to give you one number. Then put everything else in descending order, like this:
[tex]x^2+y^2-(2h)x-(2y)k+(h^2k^2r^2)=0[/tex]
It's very hard to describe when there are no values assigned to the h, k, and r in the equation.
Basic idea:
Expand the binomials and add like terms, setting the whole thing equal to 0.
A prong horn runs 59 miles per hour, what is the speed in feet per second,to the nearest whole number
Step-by-step explanation:
59 mi/hr × (5280 ft/mi) × (1 hr / 3600 s) = 86.53 ft/s
Rounded to the nearest whole number, the speed is approximately 87 ft/s.
Add.
(6x3+3x2−2)+(x3−5x2−3)
Express the answer in standard form.
Answer:
[tex]7x^3-2x^2-5[/tex]
Step-by-step explanation:
We need to add the two terms.
[tex](6x^3+3x^2-2)+(x^3-5x^2-3)[/tex]
Solving,
Combine the like terms and adding those terms
[tex](6x^3+3x^2-2)+(x^3-5x^2-3)\\=6x^3+3x^2-2+x^3-5x^2-3\\=6x^3+x^3+3x^2-5x^2-2-3\\=7x^3-2x^2-5[/tex]
So, the answer is:
[tex]7x^3-2x^2-5[/tex]
Tamie uses 3/4 of a cup of water with 1/8 of a pound of flour to make a paste for a sculpture she is creating. How many cups of water does she need to mix with 1 pound of flour to create the same paste?
For this case we can raise a rule of three:
[tex]\frac {3} {4}[/tex]cup of water ---------> [tex]\frac {1} {8}[/tex] pound of flour
x --------------------------------- > 1 pound of flour
Where:
x: Represents the amount of water that Tamie must use with 1 pound of flour.
[tex]x = \frac {1 * \frac {3} {4}} {\frac {1} {8}}\\x = \frac {\frac {3} {4}} {\frac {1} {8}}\\x = \frac {3 * 8} {4 * 1}\\x = \frac {24} {4}\\x = 6[/tex]
So, Tamie should use 6 cups of water
Answer:
6 cups of water
NEED HELP WITH A MATH QUESTION
Answer:
1/5 or 20%
Step-by-step explanation:
Since the customer ordered a cold drink, that reduces our sampling population to 25 (8 + 12 = 5).
Out of those 25 people, 5 ordered a large size.
So, the probability that someone who has ordered a cold drink ordered a large one is 5 out of 25...
P = 5 / 25 = 1/5 or 20%
What is the vertex of the parabola defined by the equation
(x − 2)2 = -12(y − 2)?
A.
(-12, 2)
B.
(2, 2)
C.
(6, 2)
D.
(2, -2)
Answer:
The vertex of the parabola is (2 , 2) ⇒ answer B
Step-by-step explanation:
* Lets revise the equation of a parabola
- The equation is in the form (x − h)² = 4p (y − k), where h and k are the
vertex of the parabola
- If p > 0, the parabola opens up
- If p < 0, the parabola opens down
* Lets solve the problem
∵ The equation of the parabola is (x - h)² = 4p (y - k)
∵ The equation of the parabola is (x - 2)² = -12 (y - 2)
- By comparing the two equations
∴ 4p = -12 ⇒ divide both sides by 4
∴ p = -3 ⇒ -3 < 0
∵ p < 0
∴ The parabola opens down
- From the two equations
∴ h = 2 ⇒ the x-coordinate of the vertex
∴ k = 2 ⇒ the y-coordinate of the vertex
∴ The vertex of the parabola is (2 , 2)
The vertex of the given parabola (x - 2)^2 = -12(y - 2) is at the point (2, 2), which corresponds to Option B.
The vertex of the parabola defined by the equation (x - 2)^2 = -12(y - 2) can be found by identifying the point (h, k), where the equation fits the general form (x \\- h)^2 = 4p(y \\- k). Here, h and k represent the coordinates of the vertex, and p indicates the distance from the vertex to the focus or directrix. The given equation can be rearranged to match the general form with h = 2 and k = 2, making the vertex (2, 2). Hence, the correct answer is Option B.
Help with vectors! Write each vector in terms of a, b or a and b. Please explain how to do this! I don't know!
Answer:
see explanation
Step-by-step explanation:
Find equivalent routes for the directed lines, that is
(a)
FE = FA + AB + BE = b + a - 3b = a - 2b
(b)
BC = BE + ED + DC = - 3b + a + 2b = a - b
(c)
FC = FA + AB + BE + ED + DC
= b + a - 3b + a + 2b = 2a
Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, find a counterexample.
A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.
A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True
B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.
C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.
D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True
Answer:
D is the contrapositive.
Step-by-step explanation:
Contrapositive of if A then B is if not B then not A
Answer:
Option D is correct here.
Step-by-step explanation:
A conditional statement is in the form of if p then q.
A contrapositive statement is when we interchange the hypothesis and conclusion of the sentence and negate both of them. It is in the form of - if not q then not p.
Given statement here is - A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.
This is a true statement. It is the definition of converse statement.
Its contrapositive will be : A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement.
So, here option D is the contrapositive that is also true.
A merchant has coffee worth $60 a pound that she wishes to mix with 50 pounds of coffee worth $90 a pound to get a mixture that she will sell for $70 a pound. How many pounds of the &60 coffee should be used?
Answer:
100 lbs
Step-by-step explanation:
Let x represent the number pounds of $60 coffee that should be used to create the mix. The total cost of the mix will be ...
60x + 90·50 = 70(x+50)
60x +4500 = 70x +3500 . . . . simplify
1000 = 10x . . . . . . . . . . . . . . . . subtract 3500+60x
100 = x . . . . . . . . . . . . . . . . . . . divide by 10
The merchant should use 100 pounds of the $60 coffee.
_____
The cost of the mix parts and the total mix is figured from ...
(dollars/lb)×(lbs) = dollars
Use Cavalieri's Principle to calculate the exact volume of an oblique cylinder with a height of 20 centimeters and a circular base with a radius of 10 centimeters.
Answer:
The exact volume of an oblique cylinder is [tex]V=2,000\pi\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The Cavalieri's principle states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume
so
The volume of the oblique cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]h=20\ cm[/tex]
[tex]r=10\ cm[/tex]
substitute
[tex]V=\pi (10)^{2} (20)[/tex]
[tex]V=2,000\pi\ cm^{3}[/tex]
Answer:
the volume of an oblique cylinder is V=2,000\pi\ cm^{3}
If $6500 is invested at a rate of 6% compounded continuously, find the balance in the account after 3 years
[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6500\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &3 \end{cases} \\\\\\ A=6500e^{0.06\cdot 3}\implies A=6500e^{0.18}\implies A\approx 7781.91[/tex]
the values in the table represent an exponential function.what is the common ratio of the associated geometric sequence
x y
1 8
2 32
3 128
4 512
5 2048
A.4 B.24 C.40 D.8
Answer:
A. 4
Step-by-step explanation:
The common ratio will be the ratio of any adjacent pair of y-values:
32/8 = 128/32 = 512/128 = 2048/512 = 4
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number. Years
Answer:
[tex]8\ years[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=?\ years\\ P=\$100\\A=\$150\\ r=0.05[/tex]
substitute in the formula above
[tex]150=100(e)^{0.05*t}[/tex]
[tex]1.5=(e)^{0.05*t}[/tex]
Applying ln both sides
[tex]ln(1.5)=(0.05t)ln(e)[/tex]
[tex]ln(1.5)=(0.05t)[/tex]
[tex]t=ln(1.5)/(0.05)[/tex]
[tex]t=8\ years[/tex]
Answer:
If you need all the answers for that assignment:
Step-by-step explanation:
1. Consider 8^x-4 = 8^10
Because the (blank a) are equal , the (blank b) must also be equal.
Answer: Bases, Exponents
The solution to the equation is 14
2.What equation is equivalent to 9^(x-3)=729?
Answer 3^x - 3 = 3^6
Solve: 9x - 3 = 729
Answer: x = 6
3. To solve 5(2^x+4)=15, first divide each side by
Answer: 5
Solve 5(2^x+4) = 15. Round to the nearest thousandth.
Answer: -2.415
4. Which of the following is the solution of 5e^2x- 4 = 11?
Answer: x=In3/2
5. Select all of the potential solution(s) of the equation 2log5x = log54.
Answer: 2,-2
What is the solution to 2log5x = log54?
Answer: 2
6. Which equation is equivalent to log5x3 - logx2 = 2?
Answer: 10^log5^3/x^2=10^2
Solve: log5x3 - logx2 = 2
Answer: 20
7. What is the solution to ln (x2 - 16) = 0?
Answer: x=+-(17)
8. Solve: ln 2x + ln 2 = 0
Answer: ¼
Solve: e^ 2x+5 = 4
Answer: x=(In4) - 5/2
9. Consider the equation log(3x - 1) = log2(8). Explain why 3x - 1 is not equal to Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.
Answer: The bases are not the same, so you cannot set 3x - 1 equal to 8.You can evaluate the logarithm on the right side of the equation to get .You can use the definition of a logarithm to write 3x - 1 = 1000.
10. An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
Answer: 8
GEOMETRY PLS HELPPPPPP
ANSWER
(0,2)
EXPLANATION
The mapping point A has coordinate (0,2).
We want to find the coordinates of this point after a rotation of -90° about the origin.
In other words, we want to find the image of this point after a rotation of 90° anticlockwise.
The rule is
[tex](x,y) \to( - y,x)[/tex]
This implies that
[tex](2,0) \to(0,2)[/tex]
Simplify the following expression by combining like terms.
2 x plus 8 x squared minus 4 x plus 5 x squared2x+8x2−4x+5x2
Answer:
8x^2+3x
Step-by-step explanation:
What I read is 2x+8x^2-4x+5x
combining like terms means putting the terms that have the same variable part together
8x^2 is the only one that doesn't have any terms like it as far as the variable part
so 8x^2+2x-4x+5x
We just need to figure out 2-4+5 which is -2+5=3
So the answer is 8x^2+3x
Find the mean of the data summarized in the given frequency distribution. compare the computed mean to the actual mean of 51.8 degrees. low temperature (circlef) 40minus44 45minus49 50minus54 55minus59 60minus64 frequency 3 4 10 6 2
Answer:
Mean = 47.52 degrees
Step-by-step explanation:
We will use the following method to find the mean
Class interval Frequency(f) Class Mark(X) fx
40-44 3 42 126
45-49 4 47 188
50-54 10 52 520
55-59 6 57 342
60-64 2 62 124
.........................................................................................................
25 1188
.........................................
The formula for mean is:
Mean = ∑fx / ∑f
= 1188/25
= 47.52 degrees
The computed mean is less than the actual mean of 51.8 degrees ..
Will mark the BRANLIEST.
Beverly has $50 to spend at an amusement park. Admission to the park is $15. She plans to spend $10 on food. Each ride costs $1.50. What is the maximum number of rides she can ride?
1. Define a variable for this situation.
2. Write an inequality to represent the possible number of rides she can ride.
3.Solve the inequality from #2 to determine the maximum number of rides she can ride.
4.5. If Beverly rides the maximum number of rides possible, will she have spent the entire $50? If she has not spent the entire $50, how much money is left over? Support your answer with an explanation and/or calculations.
Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?A. 8, 10, 14B. 9, 12, 15C. 10, 14, 17D. 12, 15, 19
Answer:
A. 8, 10, 14
Step-by-step explanation:
As a rough cut, a triangle will be obtuse if the longest side is about 1.4 or more times the length of the second-longest side. This derives from the relationship in an isosceles right triangle, where the hypotenuse is √2 ≈ 1.414 times the length of the two equal-length sides. If one side is shorter than the other, and the hypotenuse is still 1.414 times the length of the second-longest side, then the triangle is no longer a right triangle, but is an obtuse triangle.
Here, the first selection has a middle-length side of 10 and a longest side of 14, about 1.4 times 10. It is an obtuse triangle.
_____
More rigorously, you can see if the sum of the squares of the short sides is less than the square of the longest side. If so, the triangle is obtuse. (The Law of Cosines will tell you the angle opposite the longest side must have a negative cosine, so must be greater than 90°.)
Our answer choices are ...
A. 8^2 + 10^2 = 164 < 14^2 = 196 . . . . . obtuse
B. 9^2 + 12^2 = 225 = 15^2 . . . . . . . . . . right
C. 10^2 +14^2 = 296 > 17^2 = 289 . . . . . acute
D. 12^2 +15^2 = 369 > 19^2 = 361 . . . . . acute
Answer:
A) 8, 10 and 14
correct on edg2020 :)
4. The cosine function can be made to have the same values as the sine function for each angle by including a shifted _______ in the calculation.
A. amplitude
B. wavelength
C. period
D. phase
Answer: Option D
phase
Step-by-step explanation:
By definition, the cosine function has the following form
[tex]y = cos (x - \phi)[/tex]
Where [tex]\phi[/tex] is known as the phase angle
By definition the sinx function is equal to the cosx function with a phase shift of [tex]\frac{\pi}{2}[/tex]
So if we have the function
[tex]y = cos (x - \phi)[/tex] and we want to transform it into the function [tex]y=sin(x)[/tex] then [tex]\phi = \frac{\pi}{2}[/tex]
Finally
[tex]y = cos(x - \frac{\pi}{2})=sin(x)[/tex]
the answer is the option D
Final answer:
The cosine function aligns with the sine function by introducing a phase shift, typically represented by phi (φ), indicating that D. phase is the correct answer.
Explanation:
The cosine function can be made to have the same values as the sine function for each angle by including a shifted phase in the calculation. This shift is referred to as a phase shift and is typically represented by the Greek letter phi (φ).
In the context of trigonometric functions, a phase shift will slide one function over to match that of another.
Specifically, when the sine function is shifted left by 90 degrees (π/2 radians), it aligns perfectly with the cosine function, indicating that the sine and cosine are out of phase by 90 degrees.
Thus, the correct answer is D. phase.
A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. 8 liters of yellow tint are added to the original mixture.
Answer:
Yellow Paint: 0.44736842105%
Red Paint: 0.19736842105%
Water: 0.35526315789%
Step-by-step explanation:
Yelow:
30 x 0.3 = 9
8 + 9 = 17
30 + 8 = 38
17/38 = 0.44736842105%
Red:
30 x 0.25 = 7.5
7.5/38 = 0.19736842105%
Water:
30 x 0.45 = 13.5
13.5/38 = 0.35526315789%
Ordered 145 packs of printer paper based on average daily use she knows that the paper will last about 65 days how many packs of printer paper should the manager expect to have after 5 days
Answer:
11.15 packs of paper are used in 5 days; therefore, 133.85 are left
Step-by-step explanation:
Set this up as ratio with days on top and packs of paper on the bottom. Filling in the ratio with the info we have, keeping in mind we are looking for packs of paper left after 5 days:
[tex]\frac{days}{packs}:\frac{65}{145}=\frac{5}{x}[/tex]
Cross multiply to get 65x = 725 and x = 11.15. This represents the number of packs used. To get the number of packs remaining, subtract 11.15 from 145 to get 133.85 remaining after 5 days.
1. Use the correct order of operation to solve the following problem: 3 × (50 – 62) ÷ 2 A. 69 B. 18 C. 21 D. 57
Answer:
The correct answer is option B. -18
Step-by-step explanation:
It is given an expression : 3 × (50 – 62) ÷ 2
To find the answer we have to use BODMAS principle
BODMAS means that the order of operations
B- Bracket, O - of , D - Division, M - Multiplication, A - Addition and
S - Subtraction
To find the correct option
Step 1: Do the bracket first
3 × (50 – 62) ÷ 2 = 3 × (-12) ÷ 2
(Multiplication and division are in the order of appearance)
Step 2: Multiplication
3 × (-12) ÷ 2 = -36 ÷ 2
Step 3 : Division
-36 ÷ 2 = -18
The correct option is option B. -18
Answer:
=-18
Step-by-step explanation:
3×(50-62)÷2
Using PEMDAS, we first evaluate the parentheses. 50-62=-12
The new expression becomes
3×⁻12÷2
We now perform the multiplication in the order in which they occur.
3×-12=-36 and -36÷2= -18
=-18