Answer:
$10.80
Step-by-step explanation:
54 × 20%
= 54 × 20/100
= 1080/100
=10.8
The amount you tip the waiter is $10.8.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Amount of bill in the restaurant = $54
Percentage of tip given = 20%
In order to calculate the exact amount of tip given, we have to multiply the percent with the whole.
Amount given as tip = 20% × 54
20% means 20 parts of a 100 or 20/100.
Amount given as tip = (20 / 100) × 54
= 0.2 × 54
= 10.8
Hence the amount that the waiter has been tipped is $10.8.
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You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?
Answer:
$660
Step-by-step explanation:
22*40 = 880 dollars. This is your gross pay.
Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars
We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars
Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.
Let me know if im wrong!
3100 times 43 how much is this
Answer:
133,300
Step-by-step explanation:
3100 x 43 = 133,300
Answer: 133,300
Step-by-step explanation: 3100 x 43= 133300
Find the value of x.
Answer:
x=10
Step-by-step explanation:
6(x+2)=8(x-1)
x=10
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]8(x−1)=6(x+2)[/tex]
[tex]8x−8=6(x+2)[/tex]
[tex]8x−8=6x + 12[/tex]
[tex]2x−8=12[/tex]
[tex]2x=12+8[/tex]
[tex]2x=20[/tex]
[tex]x = \frac{20}{2} [/tex][tex]x = 10[/tex]
Hope it is helpful....in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC
9514 1404 393
Answer:
BE = 5 cm
Step-by-step explanation:
Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.
The length of segment BE can be found from the proportion ...
BE/DE = AB/CD
BE = DE·AB/CD = (4 cm)(10/8)
BE = 5 cm
Helppppppp me please
Given:
In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].
To find:
The [tex]m\angle S[/tex].
Solution:
In [tex]\Delta QRS[/tex],
[tex]\overline{QR}\cong \overline{SQ}[/tex]
It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.
[tex]\angle R\cong \angle S[/tex] [Base angles of isosceles triangle QRS]
[tex]m\angle R=m\angle S[/tex] ...(i)
In [tex]\Delta QRS[/tex],
[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]
[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex] [Using (i)]
[tex]114^\circ+2m\angle S=180^\circ[/tex]
[tex]2m\angle S=180^\circ-114^\circ[/tex]
[tex]2m\angle S=66^\circ[/tex]
Divide both sides by 2.
[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]
[tex]m\angle S=33^\circ[/tex]
Therefore, the [tex]m\angle S[/tex] is 33 degrees.
URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10
using elimination method, what is the value of 38y?
Answer:
5x+3y=12
x-7y=10
first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y
5x+3y=12
5x-35y=10
_________
38y = -38
y = -1
to find the x value substitute to any equations it can be the 1st or 2nd
5x+3(-1)=12
x = 3
Find the volume of the prism.
2 m
Answer:
12 cubic meters
Step-by-step explanation:
Solve x2 − 3x = −8. (2 points)
Answer: x=3 plus or minus i square root 29 end root all over 2
A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?
Answer:
20000
Step-by-step explanation:
The greatest value obtained by sin(x) is 1.
So the greatest amount of insects is 12,000 + 8000(1)=20000.
The greatest number of insects are 20000.
What is trigonometric function?"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.
The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "
We have,
y = 12000+8000 sinθ
The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]
∴ sinθ = 1
substitute sinθ = 1 in given equation
y = 12000+8000 (1)
⇒ y = 12000+8000
⇒ y = 20000
Hence, The greatest number of insects are 20000.
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need help finding the value of f (7)
Answer:
f(7) = -4
Step-by-step explanation:
f(7) means f(x) when x = 7. The x is replaced with 7.
So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4
Put in another way:
f(x) = 3 - x
f(7) = 3 - 7
f(7) = -4
I DONT UNDERSTAND THIS I NEED HELP
Answer:
It is -4 :)
Step-by-step explanation:
I just did this lol
please can anyone help me out!!
Answer:
1.39 m
Step-by-step explanation:
sin 63 = x/13.5 (x = CD)
sin 52 = x/13.5 (x=AC)
take the difference between the two
Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet, 40 cm How much carpet does it take to cover each cube?
240 cm
Step-by-step explanation:
each side is 40 cm, a cube has 6 sides. 6×40= 240
The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?
Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.
Answer:
Nope it isn't linear.
Step-by-step explanation:
Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly
for instance you put 2,4
4 = -4(2)+12
4 = -8+12
that is true
but if you put in (5,-1)
-1 = -4(5)+12, which is not true
if all of them is true, then it would be true.
if even ONE of them is not true, then the who line is not linear
Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer
A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)
Answer:
c. (−6,−4),(−3,−3)
Step-by-step explanation:
a). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-4)
-3/ 1
= -3
b). y2 - y1 / x2 - x1
0 - (-1) / -3 - (-18)
= 1/15
c). y2 - y1 / x2 - x1
-3 - (-4) / -3 - (-6)
= 1/3
d). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-2)
3
Answer:
D
Step-by-step explanation:
ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find the slope of answer A
1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]
2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)
Find the slope of answer B
1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer C
1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer D
1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]
2. This answer is perpendicular to "l" because 3 is the inverse of -3.
please help me :(
I am in Great trouble:(
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Name a Radius
A. AP
B. AB
C. DE
D. All of the above
please help I'll really appreciate it
Answer:
AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Radius is the line segment that joins the centre of a circle and any point on its circumference. In the figure , AP is the radius. The plural form of radius of radii. All the radii of a circle are equal i.e AP , PB & PC are radii and they're equal.[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]
[tex] \large{ \tt{ \overline{AP}}}[/tex] - Yes! [tex] \tt{ \overline{AP }}[/tex] is a radius since it is the line segment which joins the centre of a circle and any point on the circumference. [tex] \large{ \tt{ \overline{ AB}}}[/tex] - No! It's a diameter since it is the line segment that passes through the centre of a circle and joins any two points on its circumference. Remember: The length of a diameter is two times radius i.e if the length of radius [ AP ] is 5 then the length of Diameter [ AB ] will be 5 × 2 = 10.[tex] \large{ \tt{ \overline{ DE}}}[/tex] - No! It's a chord since it is the line segment which joins any two points on the circumference of a circle.
[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
i think it is b -8 -2
Step-by-step explanation:
Answer:
in picture
Step-by-step explanation:
Find f(2) if f(x) = 2x + 1.
a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
area =length× width
32 =length×4.
length=8 feet
Question 42: Which equation represents the line that passes through the points
(-1, -2) and (3, 10)? *
O y = 3x + 1
O y = 3x - 1
O y = 4x + 2
O y = 4x - 2
Answer:
y = 3x + 1
Step-by-step explanation:
first we need to find the slope
m = (y2-y1) / (x2-x1)
m = (10 - -2) / (3 - -1) = 3
note that it does not matter which points you chose to be second or first
then use slope point equation again it does not matter which point you use
y - y1 = m ( x - x1 )
y - 10 = 3 ( x - 3)
y - 10 = 3x -9
y = 3x -9 + 10
y = 3x +1
Use the slope formula below (Rise Over Run)
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).
[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]
Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)
[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]
We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.
[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]
Answer
y = 3x+1HELP I WILL AWARD BRAINLIEST
*Prove that corresponding angle bisectors in congruent triangles are congruent.
Answer:
CPCTC
Step-by-step explanation:
BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH
ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE
SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES
THEY ARE EXACTLY THE SAME
SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER
SAY YOU HAVE 2 CONGRUENT TRIANGLES
THE ANGLES ARE 50, 60, AND 70
SAY THAT THE ANGLE BISECTORS ARE ON 60
THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES
BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answer:
(-1, 8)
the value of a is 8
HELP! What is the surface area of the right cone below?
12 6
A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units
The surface area of the right cone is,
⇒ 339 units²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Radius of right cone = 6 units
Slant height of right cone = 12 units
Now, We know that;
The formula for the total surface area of a right cone is,
⇒ T. S. A = πrl + πr²
Hence, We get;
The surface area of the right cone is,
⇒ 3.14 × 6 × 12 + 3.14 × 6²
⇒ 226.08 + 113.04
⇒ 339.1
⇒ 339 units²
Thus, The surface area of the right cone is,
⇒ 339 units²
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Sorry can someone help please…
Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places
Answer:
goodgydudufjdjdjdjdururirurur7rigjfifut
Step-by-step explanation:
goodghdhfudjdjsdhydydbsjshhdvrjeiid
a) Divide rs 21000 between Nisha and nishan so that Nisha gets double than nishan.
Answer:
Hello There!!
Step-by-step explanation:
Let the nisha be x and nishan be y. Your statement is x=2y.
x+y=21000
2y+y=21000
3y=21000
y=21000/3
y=7000
The amount of money nishan got=7000
The amount of money nisha got=2y=7000 ×2=14000
hope this help,have a great day!!
~Pinky~