The total amount of deduction in percentage is 22%. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The total amount of deductions from an employee’s gross pay is $83.20. if the gross pay is $378.18.
Then the percentage will be given as
[tex]\rm P = \dfrac{83.20}{378.18}\times 100\\\\P = 0.220 \ or \ 22\%[/tex]
More about the percentage link is given below.
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Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?
Answer:
4
Step-by-step explanation:
An object's radius is half of the object's diameter.
Solving for diameter
d = r * 2Solving for radius
r = d/2d = r * 2
= 2 * 2
= 4
The diameter of Harry's table is 4 feet.
What is the value of x?
Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180
17x + 10x -5 + 50 = 180
Combine like terms
27x + 45 = 180
To find the valu of x, we have to isolate x. To isloate x
Step 1: Subtract 45 from both sides
27x = 180 - 45
27x = 135
Step 2: Divide both sides by 27
x = 135/27
x = 5
Last Question HELP
What is the inverse of `y = 5x + 7
Show Steps!
Answer:
[tex]\sf y' = \dfrac{x-7}{5}[/tex]
Explanation:
⇒ y = 5x + 7
⇒ 5x + 7 = y
⇒ 5x = y - 7
⇒ x = (y-7)/5
replace x with y
⇒ y' = (x-7)/5
Take this and solve for x
5x=y-7x=y-7/5Interchange y and x
y=x-7/5So
The inverse is
[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]
Please help
Find the area of each triangle.
Answer:
c is 7
Step-by-step explanation:
becuase 4x4=16 then u divide 16\2=7
Which of the following is true? (8th Math)
Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9
distributive property
commutative property
associative property
inverse property
Answer:
(b) commutative property
Step-by-step explanation:
The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.
It takes 12 hours to make a trip going 50 mph. How fast would you need to go to make it in 10 hours?
Answer:
10 hours = 60 mph
you will need to go 60 mph to make the trip 10 hours
explaination:
Multiplying the amount of hours and the mph, 12 times 50 is 600 miles.
10 times 60 is 600 miles. They both have the same answer, but 60 mph is the fastest. 60 mph is how fast you would need to go to make it in 10 hours.
I dont know if i explained it good.
is y=x^3 a linear equation
Answer:
No
Step-by-step explanation:
Linear equations, when graphed, look like straight lines.
Examples include:
y= mx + b
y = 3
x + 2 = 0
y + 6 = 0
y = 7x +2
Jake's net pay is $160.65 after deductions of $68.85. He makes $8.50 per hour. how many hours did he work?
Answer:
27 hours
Step-by-step explanation:
160.65 = 8.50x-68.85
x=27
Derek lives in canada and enjoys herb gardening. his american friend sent him a guidebook for growing fresh herbs. the book says that it is best to cut bay shoots when they are 3.25 in long. if 1 mm is equivalent to 0.03937 in, how many millimeters long should the bay shoots be when derek cuts them? a. 8.26 mm b. 12.80 mm c. 82.55 mm d. 95.67 mm
When the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
The book says that it is best to cut bay shoots when they are 3.25 in long.
As it is given that the:
1 mm = 0.03937 in
To find how many millimeters long should the bay shoots be when Derek cuts them, we must convert 3.25 in to mm
From the 1 mm = 0.03937 in, we can find how many mm is there in 1 in;
[tex]\rm 1 \ in= \frac{1}{0.03937} \ mm[/tex]
To convert 3.25 in into mm, we must multiply it by 1/0.03937
= 3.25×(1/0.03937)
= 82.55 mm
Thus, when the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.
Learn more about the unit conversion here:
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Answer number 17 please
Answer:
Ava
Step-by-step explanation:
Ava's = 100/10 = 10
Ian's = 110/20 = 5.5
Please help me. I’m not so familiar with graphing.
Answer:
Hey i believe this is the answer
Step-by-step explanation:
Take a look at the screenshot
Also Desmos graphing calculator is a big help :) It might make you a little more confident
I can’t solve this can someone help me
Answer:
[tex]\textsf{D.}\quad\dfrac{b}{\sqrt{a^2+b^2}}[/tex]
Step-by-step explanation:
Tan trig ratio
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleUsing the given information:
[tex]\implies x=\tan^{-1}\left(\dfrac{a}{b}\right)[/tex]
[tex]\implies \tan(x)=\tan\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)[/tex]
[tex]\implies \tan(x)=\left(\dfrac{a}{b}\right)[/tex]
Comparing this with the trig ratio, we can say that:
[tex]x[/tex] is the angle opposite side [tex]a[/tex]
Cos trig ratio
[tex]\cos(x)=\sf \dfrac{A}{H}[/tex]
where:
[tex]x[/tex] is the angleA is the side adjacent the angleH is the hypotenuseTherefore:
A = side [tex]b[/tex]H = side [tex]\sqrt{a^2+b^2}[/tex][tex]\implies \cos\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)=\cos(x)= \dfrac{b}{\sqrt{a^2+b^2}}[/tex]
A total of 392 were sold for the school play. They were either adult tickets or student tickets. The number of students sold was three times the number of adult tickets sold. How many adult tickets were sold?
How many outcomes are possible when you roll 3 regular six-sides dice ?
Answer:
216 outcomes.
Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes
Which function represents the graph
The absolute value function represented by the graph is:
y = -3*|x|
So the correct option is B.
Which function represents the graph?
In the graph, we can see a "V" shape, which belongs to the absolute value functions, but this graph opens down, so our function will be something like:
y = -a*|x - b|
The value of b is the value of x where we have the vertex, in this case, is at x = 0, so b = 0
y = -a*|x|
To get the value of 1, we ise one of the points that we can see on the graph. For example, for x = 1, we have y = -3, replacing that we get:
-3 = -a*|1| = -a
3 = a
So we can conclude that our function is:
y = -3*|x|
So the correct option is B.
If you want to learn more about absolute value functions, you can read:
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Anybody knows 3x^2+6x-10 + 3x+5
solution:
3x^2+9x-5
i hope this helps
:)
Which statement is true?
We will see that the fourth statement:
"-0.3*|3 + 8x| = 0.9 has no solutions."
Is the true statement.
Which statement is true?Here we need to see which statement regarding absolute value equations is true.
Here you can see that the fourth statement is:
-0.3*|3 + 8x| = 0.9 has no solutions.
Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.
There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.
If you want to learn more about absolute values, you can read:
https://brainly.com/question/1782403
A quarter of a circle has a radius of 7cm. What is is the area of the shaded part
Answer:
14
Step-by-step explanation:
using the formula:
(theta/360 pi r^2)-(1/2ab(the radius)sin theta)
theta is obtained by multiplying 1/4 and 360 therfore theta is 90°
Which comparison is correct?
Answer:
B
Step-by-step explanation:
-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.
question b only please
b) A different pattern is made using 20 straight lines
and 14 arcs.
The straight lines and arcs are made from metal.
20 straight lines cost £12
cost of one straight line : cost of one arc = 2 : 3
Work out the total cost of metal in the pattern.
Answer:
total cost= 24.6
Step-by-step explanation:
12 ÷ 20 = 0.6 per straight line
arc 0.6 × 3/2 = 0.9
12 + 0.9 × 14
12 + 12.6 = 24.6
The required cost of the metal used in the pattern is £24.6.
Given that,
A different pattern is made using 20 straight lines and 14 arcs.
The straight lines and arcs are made from metal. 20 straight lines cost £12 cost of one straight line is cost one arc = 2 : 3.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the cost of the total arcs be x,
As per the given condition,
The cost of the one straight line is 12/20 and cos if the one arc is x/14,
According to the question,
[12/20]/[x/14] = 2/3
12×14/20 = 2x / 3
x = £12.6
The total cost of a metal arc is £12.6
And the total cost of the metal line in the pattern is = £12.
Total cost of metal = 12 + 12.6 = £24.6
Thus, the required cost of the metal used in the pattern is £24.6.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
Please help!! Will mark brainlyest.
Answer:
Reflected on the Y axis
Step-by-step explanation:
x axis is 0, while y axis is both 7 and -7.
d = 6 m.
Calculate the circumference of the circle.
Step-by-step explanation:
circumference = 2 pi r = 2 r pi
= d pi
= 6 × 3.14 = 18.84
The claim being assessed in a hypothesis test is called.
Hello! anyone???
[tex]please \: see \: the \: picture \: [/tex]
Answer:
7
Step-by-step explanation:
I assume x with dash on top is mean
The sum of all x's is 175 and there are 25 x's.
To find the mean:
175/25 = 7
i need assistance with math pls show your work to
Answer:
x = 7.5, x = -5
Step-by-step explanation:
1. Plug a(2), b(-5), and c(-75) into the qudratic formula:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]
2. Find the square:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]
3. Separate the solutions:
[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]
4. Solve for both:
[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]
--------------------
[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]
In conclusion, the solutions are x = 7.5 and -5.
hope this helps!
What is 6 3/4 times 3 1/2 divided by 3 3/5 divided by 3 3/4?
Answer:
1.75
Step-by-step explanation:
solving quadratic inequalities
Answer:
[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]
Step-by-step explanation:
[tex]\sf x^2+4x+3 > \:0[/tex]
In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where x(1) & x(2) are the solutions of the quadratic equation ax²+bx+c=0 .
[tex]\sf x^2+4x+3=0[/tex]
Quadratic formula:-
[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1\\b=4\\c=3[/tex]
[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate
[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]
[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]
Now, let's Separate the solutions,
[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]
Do the calculations,
[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]
[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]
[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]
If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6
Answer: 2500
Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Acute
Obtuse
Right
Not a triangle
Answer:
ACUTE TRIANGLE
Step-by-step explanation:
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.
Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²
[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]