Answer:
YES
Step-by-step explanation:
the dimensions of the poster board has to be converted to inches to add comparability
1 feet = 12 inches
3 x 12 = 36 inches
width = 2 x 12 = 24 inches
Area = length x breadth
36 x 24 = 864 cm^2
area of sticker = 2 x 2 = 4cm^2
Number of stickers that can be put on the board = 864 / 4 = 216
216 is greater than 100. So the board has enough room for the stickers
Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?
Answer: $13,925
Step-by-step explanation:
Tommy makes $200,000 per year.
He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.
His total taxes are therefore:
= 10% + 4.2% + 1.75% + 0.5%
= 16.45%
Taxes in dollars are:
= Monthly salary * taxes
= (200,000/12 months) * 16.45%
= $2,741.67
Monthly take home pay:
= Monthly salary - monthly tax
= 200,000 / 12 months - 2,741.67
= 16,666.67 - 2,741.67
= $13,925
Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?
Answer: 1/16
In decimal form, this is equivalent to 0.0625
=====================================================
Explanation:
Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.
The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.
We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.
Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.
To find the probability of both events happening, we multiply the probabilities of each event:
P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16
Therefore,
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
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I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)
Answer:
24
Step-by-step explanation:
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
[tex]\frac{4}{x} =12[/tex]
[tex]4 = 12x[/tex]
[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]
Four divided by 1/3 equals 12.
8 = 6 + a/4 a=___ help
Answer:
a=8Step-by-step explanation:
6+a/4 = 8a/4=8-6a=4×2a=8Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)
Answer:
4t/9 + 18
Step-by-step explanation:
What is the lowest common denominator of the following two fractions?
1/9 and 1/6
Answer:
18
Step-by-step explanation:
A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds
◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?
Answer:
Step-by-step explanation:
[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]
The acceleration of the tram is 1 m/s^2.
To find the acceleration of the tram, we can use the following equation:
acceleration (a) = (change in velocity) / (time taken)
First, let's convert the initial velocity to m/s:
Initial velocity = 300 m/minute
To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):
Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s
Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.
Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)
Time taken = 20 seconds
Now, we can find the final velocity (v) using the formula:
v = (change in distance) / (time taken)
v = 500 m / 20 seconds = 25 m/s
Next, we can find the change in velocity:
change in velocity = final velocity - initial velocity
change in velocity = 25 m/s - 5 m/s = 20 m/s
Finally, we can calculate the acceleration:
acceleration (a) = (change in velocity) / (time taken)
acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2
So, the acceleration of the tram is 1 m/s^2.
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Find the slope of the given point.
(19,3) (20,8)
Answer:
5
Step-by-step explanation:
as x goes up one y goes up 5
slope is change in y over changes in x
5/1=5
When a number is added to itself the result is 49.
Answer:
24.5
Step-by-step explanation:
24.5 + 24.5 = 49
Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
[tex]3x^{2} -5x+1=0[/tex]
2. Solve with the quadratic formula and you get:
[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
plz i need help!
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answer:
The answer is 156.4
Step-by-step explanation:
5(9.2)(3.4)
156.4
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48
Answer:
b) 22
Step-by-step explanation:
180 = (4x+12) + (3x+14)
180 = 7x + 26
7x = 154
x=22
What is the volume of the right triangular prism shown?
get it right for brainlist
Answer:
V = 567 yd³
Step-by-step explanation:
V = [tex]\frac{1}{2}a c h\\[/tex]
V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]
V = 567 yd³
Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. 16 A. 2 B. 2 millel C. VE D. 2 O E. సుత మన నదు OF.
Answer:
B
Step-by-step explanation:
Theo wants to pick out an outfit for the school dance he can choose from four pairs of pants 5 shirts and 2 pairs of shoes how many different outfits does Theo have to chose from
Answer:
40
Step-by-step explanation:
Pair of pants = 4
Number of shirts = 5
Pair of shoes = 2
Number of different outfits possible :
Pair of pants * number of shirts * pair of shoes
4 * 5 * 2
20 * 2
= 40
What is the independent and dependent variable in this problem?
Answer:
The height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
Step-by-step explanation:
We know that the function
y = f(x)
where y is a function of x.
Here:
The input variable 'x' is called the independent variableThe output variable 'y' is called the independent variable because the value of output y depends upon the value of the input 'x'.Given the function of the height of the ball as a function of time is modeled by the equation
h(t) = -16t² + 90t + 5
As the height of the ball depends upon the time as the height of the ball is a function of time.
Thus, the height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
given that x is an odd integer and 2y is an even integer which of the following must be true
Answer:
K
Step-by-step explanation:
K
Hope that helps!
If x is an odd integer and 2y is an even integer then K. 2y x is odd.
What are some concepts related to arithmetic operations of odd and even numbers?Odd + Odd = Even.
Odd + Even = Even + Odd = )dd.
Even + Even = Even.
Odd × Odd = Even.
Even × Even = Even.
Odd × Even = Even × Odd = Odd.
Odd ÷ Odd = Even.
Even ÷ Odd = Even Or Odd.
Odd ÷ Even = Fraction/Decimal.
Given, x is an odd integer and 2y is an even integer.
So, y can be even or odd we are not sure.
Therefore, the only option that must be true is 2y + x is odd.
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Find the value of x so that the function has the given value.
n ( x ) = 4x + 15; n ( x ) =7
plz help
Answer:
n(x)=4x+15;n(x)=7
n(7)=4(7)+15
=》n(7)=28+15
28+15=43
n(7)=43
Hi! hope youre having a nice day! i was just wondering if you could make my day nice? pleaseeee! its very simple but ive been struggling. thank you so much! and i hope its enough points for you! and please no scams!
Answers:
11. b. 4x + 2
12. c. 25(x + 2)
13. b. 8gh
14. a. 10(5x + 1)
15. a. 2x + 2
16. c. 4 units by (2x - 3)
17. c. 6(x + 10)
18. c. 5r + 35
19. b. Identity Property of Addition
Brainliests are always appreciated but not required :)
Answer:
11.
(x+4)+(3x-2)
x+3x+4-2
4x+2
12.
25x+50
25(x+2)
13.
16gh, 56gh
8gh
14.
50x+10
10(5x+1)
15.
(14x-2)-(12x-4)
14x-2-12x+4
2x+2
16.
8x-12
4(2x-3)
17.
6x+60
6(x+10)
18.
5(r+7)
5r+35
19.
This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.
Let me know if this helps!
Which graph below does not represent a
function of x?
5
5
4
A.
12345
C. 12345
B.
Answer:
I don’t see any graphs. Try copying android pasting images.
Step-by-step explanation:
A x function should not have two y values for the same x value. Therefore, option C is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
In the graph C we can see for x value 1 there are two y-values 2 and 3.
For the x value 2 there are two y-values 2 and 3.
Because an x function should not have two y values for the same x value.
Therefore, option C is the correct answer.
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A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?
Answer:it is non proportional
Step-by-step explanation:
the triangles below are similar. find the value of the variable m
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:) Have a good day!
the wavelength of yellow light in a spectrum is about 0.000002 inches
Answer:
the answer is C:
[tex]2 \times 10 { - }^{4} [/tex]
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️
The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side
Answer:
1ft≤h≤25ft
Step-by-step explanation:
The area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeter, this is expressed as;
A ≤400
≤ means at most i.e it can not be greater than 400
Lh ≤ 400
Given L = 16
16h ≤ 400
h ≤ 400/16
h ≤ 25
Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative
Will mark brainliest and rate 5/5 if answered right.
Answer:
a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]
b. [tex]100-25\pi[/tex]
Step-by-step explanation:
The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].
Name the central angle of the given arc.