Answer: $14,912.5
Step-by-step explanation:
given data:
thomas salary in 2017 = $68,000
exemption = $8,350
solution:
thomas taxable income
= salary in 2017 - tax exemptions
= $68,000 - $8350
= $59,560
federal income tax = 25%
= 0.25 * $59,560
= $14,912.5
thomas Owe’s $14,912.5 in federal Income tax at the end of the year.
If DF =9x-39, find EF
Answer:
EF = 58
Step-by-step explanation:
From the question given, we obtained the following information:
DF = 9x – 39
DE = 47
EF = 3x + 10
EF =?
We'll begin by calculating the value of x.
This can be obtained as follow:
DF = DE + EF
DF = 9x – 39
DE = 47
EF = 3x + 10
DF = DE + EF
9x – 39 = 47 + 3x + 10
9x – 39 = 47 + 10 + 3x
9x – 39 = 57 + 3x
Collect like terms
9x – 3x = 57 + 39
6x = 96
Divide both side by 6
x = 96/6
x = 16
Finally, we shall determine the value of EF as follow:
EF =?
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 48 + 10
EF = 58
write each statement as a decimal to two decimal places. (i)$6.00 to 95 cents (ii) 3 hours to 35 minutes (iii) 42 inches to 2 feet
Answer:
The answer is below
Step-by-step explanation:
1) $6.00 to 95 cents
$1 = 100 cents
[tex]\$6.00=\$6.00*\frac{100\ cent}{\$} =600\ cent\\\\\$6\ to\ 95\ cent=\frac{\$6}{95\ cent} = \frac{600\ cent}{95\ cent} = 6.32\ to\ 2\ decimal\ places[/tex]
2) 3 hours to 35 minutes
1 hour = 60 minutes
[tex]3\ hr=3\ hr*\frac{60\ minute}{1\ hr} =180\ minte\\\\3\ hr\ to\ 35\ minute=\frac{3\ hr}{35\ minute} = \frac{180\ minute}{35\ minute} = 5.14\ to\ 2\ decimal\ places[/tex]
3) 42 inches to 2 feet
1 inches = 0.0833 ft
[tex]42\ inch=42\ inch*\frac{0.0833\ feet}{1\ inch} =3.5\ feet\\\\42\ inch\ to\ 2\ feet=\frac{42\ inch}{2\ feet} = \frac{3.5\ feet}{2\ feet} = 1.75\ to\ 2\ decimal\ places[/tex]
1. A number : minus 6 is greater than or
equal to 11.
O
A store had received a supply of 8
dozen calculators and sold them for
$9.99 each. if the store sold all but 2
dozen of the calculators, approximately how
much money did it make?
Answer:
1 dozen = 12 calculators
8 dozen = 12 * 8 = 96 calculators
2 dozen = 12 * 2 = 24 calculators
96 - 24 = 72 calculators
*each was sold for $9.99 so:
72 * $9.99 = $719.28 which rounds to $719
hope this is correct.
Write the mixed number as a decimal. 1 5/8
Answer:
1.625
Step-by-step explanation:
The decimal of 5/8 is 0.625.
We can then add 1 to it, since it is a whole number
Therefore, we have 1 + 0.625 = 1.625
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{1.625}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{5}{8} }[/tex]
Convert the mixed number to an improper fraction
⇒[tex] \sf{ \frac{8\times 1 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{8 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{13}{8} }[/tex]
Divide 13 by 8
⇒[tex] \sf{1.625}[/tex]
Hope I helped!
Best regards! :D
chef johnson used 4/12 cups of flour to make 4 fruitcakes . how many cups of flour are needed for 1 fruitcake
Answer:
1/12
Step-by-step explanation:
4 fruitcakes=4/12 cups of flour
I fruitcake =x cups of flour
4x=4/12
48x=4
x=4/48
x=1/12
What number is halfway between 0 and negative 20
A diver descended at a rate of 18 feet per second. What was her depth after one minute?
Answer:
1,080 ft
Step-by-step explanation:
Rate of descending or travel (r) = 18 ft per second.
The depth or distance traveled/descended (d) after 1 minute can be calculated as follows:
[tex] d = r*t [/tex]
r = 18ft/sec
t = 1 min = 60 secs
[tex] d = \frac{18 ft}{1 sec}*60secs [/tex]
[tex] d = 18ft*60 [/tex]
[tex] d = 1,080 ft [/tex]
what number should be added to -79 to get a sum of -59
Answer:
Let x be the unknown no.
Now,
[tex]x + ( - 79) = - 59 \\ ⟶ x = - 59 + 79 \\ ⟶ x = 20[/tex]
.°. x= 20
Hence, 20 should be added to -79 to get -59
Step-by-step explanation:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]\huge\underline\bold\red{Given}[/tex]
Let the number be x
Acc to question.
[tex]\rightarrow[/tex]x+(-59) = -79
[tex]\rightarrow[/tex]x. = -79 + 59
[tex]\rightarrow[/tex]x. = 20
[tex]\huge\boxed{x = 20}[/tex]
Hope it helps
# verified
I need help ASAP!!!!!
Answer:
1. -24
2. 8
3.-12
4.-24
5.-20
6. -12
7. -30
8. 2
9. 16
10. 132
11. -35
12. -54
THANKS! I BEG U PLEASE HELP ME!!!!!!!!!
Ryan must read 150 pages for school tomorrow.
It took him 30 minutes to read the first 20 of
the assigned pages. At this rate, how much
additional time will it take him to finish
the reading?
Ryan has 130 pages left to read (150 − 20).
He read 20 pages in 30 minutes, which means he read at a rate of 40 pages per 1 hour.
To find out how much longer it will take him to finish the assignment, divide the total number of pages remaining (130) by the number of pages he is able to read per hour (40):
[tex]\frac{130}{40}= 3\frac{1}{4}[/tex]_________Ryan spent 30 minutes reading, so he will need 225 - 30 = 195 minutes to finish reading.
Here's the solution:
If it took Ryan 30 minutes to read 20 pages, then it will take him 30/20 = 1.5 minutes to read 1 page.
To read 150 pages, it will take him 1.5 × 150 = 225 minutes.
He already spent 30 minutes reading, so he will need 225 - 30 = 195 minutes to finish reading.
So the answer is 195
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please help me it’d be truly appreciated luvs !
Step-by-step explanation:
5x - 2xy + 4y - 3y + 2x - z + 3xy
7x + xy + y - z
Jocelyn walks her dog 5 days each week. Each walk is 24 miles long.
What is the total number of miles that jocelyn walks her dog each week? Move a number or a symbol to each blank to make the equation. If
there is no whole number, put a 0 in the first box after the equals sign.
II
0
Answer:
Total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Step-by-step explanation:
Given
Days = 5 days
Distance = [tex]2\frac{1}{4}[/tex] miles
Required
Determine the total distance covered in a week
To do this, we simply multiply distance by number of days.
[tex]Total\ distance = distance * days[/tex]
[tex]Total\ distance = 2\frac{1}{4} * 5[/tex]
Convert to improper fraction
[tex]Total\ distance = \frac{9}{4} * 5[/tex]
[tex]Total\ distance = \frac{9 * 5}{4}[/tex]
[tex]Total\ distance = \frac{45}{4}[/tex]
[tex]Total\ distance = 11\frac{1}{4}[/tex]
Hence, the total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Answer:
the answer is a
Step-by-step explanation:
1 step -a
2- a
∈∉It is known that the population variance is 144. At 95% confidence, what sample size?a. 22.b. 23.c. 24.d. 25.e. none of the above.
Answer:
(E) None of the above
Step-by-step explanation:
The statistic provided is that of the population but the statistic you seek is that of the sample.
Looking at the statistic itself, Variance is the square of Standard Deviation or standard deviation is the square root of variance.
Hence you calculate the standard deviation of the population mean:
√144 = 12
The population standard deviation of/from the mean value is 12.
It could be possible to decipher the sample mean from population mean but not sample size.
So, you can't pick just any answer. Population size should be given first.
I will Mark you as brainliest if you explain
Answer:
x=0 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+2)2=4
Step 1: Simplify both sides of the equation.
x2+4x+4=4
Step 2: Subtract 4 from both sides.
x2+4x+4−4=4−4
x2+4x=0
Step 3: Factor left side of equation.
x(x+4)=0
Step 4: Set factors equal to 0.
x=0 or x+4=0
x=0 or x=−4
Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
mangos y 20 piñas ¿Qué fruta es más probable que saque al azar de la
canasta?
Respuesta: Es más probable sacar un mango.
Explicación:
La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:
Probabilidad de sacar un mango:
[tex]\frac{cantidad de mangos}{cantidad de frutas en la canasta}[/tex] = [tex]\frac{30}{50}[/tex] =[tex]0.6[/tex]
Probabilidad de sacar una piña:
[tex]\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}[/tex] [tex]= 0.4[/tex]
De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.
Solve the following triangle completely.
(a). in triangle ABC, B = 25.6° C = 124.4° C= 39.2m
(b) B = 101.15°, b= 17.23cm and C= 10.86cm.
Answer:
The answers is below in bold.
Step-by-step explanation:
(a) A = 180 - 25.6 - 124.4 = 30 degrees.
Next use the Sine Rule:
b / sin B = c / sin C
b / sin 25.6 = 39.2/sin 124.4
b = (39.2 * sin 25.6) / sin 124.4
b = 20.53 m.
Also
a / sin A = c / sin C
a / sin 30 = 39.2 / sin 124.4
a = (39.2 * sin 30 / sin 124.4
a = 23.75 m.
b). This is solved in a similar way to (a).
First find angle C using the sine rule.
Then you will know angle A from the 180 degree Rule.
Then you can find the length of a using the Sine Rule.
1. For the following scores, find the (a) mean (b) median (c) sum of squared deviations (d) variance (e) standard deviation 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
Answer:
a)to find mean
(sum the scores, divide by the number of scores) that is
( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21
= 42/21
= 2
b)
median means order the scores numerically then you choose the score in the middle and that is 2
c)sum of squared deviations is done by take difference between each score and the mean, square the result That is
Summation (xbar - x)²
add the final answer is 56
d)variance is gotten by taking sum of squared deviations, divide by (n-1))=
Summation (xbar - x)²/n-1
=2.8
e)standard deviation is square root of variance)= √V = 1.6
Upon descent, at airplane is 15000 feet above the ground. The air traffic control tower is 250 feet tall. The angle of elevation from the top of the tower to the plane is 16°. Find the ground distance from the airplane to the tower. Round to the nearest foot.
Answer: 51,349 feet
Step-by-step explanation:
[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan 16^o=\dfrac{14750}{x}\\\\\\.\qquad x=\dfrac{14750}{\tan 16^o}\\\\\\.\qquad x=\large\boxed{51439}[/tex]
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius temperatures for select Fahrenheit temperatures. Table A C -10. 0 .10 .20 .30 F 14. 32. 50. 68. 86 Table B F .14 .32 .50 .68 .86 C.-10. 0. 10. 20. 30 The tables show that the two functions are ✔ inverses because the ordered pair (x, y) for one function is the ordered pair ✔ (y, x) for the other function.
Answer:
✔ inverses
✔ (y, x)
Step-by-step explanation:
The tables show that the two functions are inverses because the ordered pair (x, y) for one function is the ordered pair (y, x) for the other function.
How do you know if functions are inverses?Permit f be a characteristic. If any horizontal line intersects the graph of f more than as soon as, then f does now not have an inverse. If no horizontal line intersects the graph of f extra than once, then f does have an inverse.
Does every function have an inverse?No longer do all capabilities have inverses. people who do are known as "inverse." learn the way we can tell whether or not a function is inverse or now not. Inverse functions, inside the maximum preferred sense, are features that "reverse" every difference.
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image Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 19 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
Answer:
C) A cut parallel to the vertical axis, directly through the vertical axis
Step-by-step explanation:
If you were to cut this figure in half vertically, the view from the front would be a triangle.
To produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
We have a square pyramid shown in the picture.
We must cut along to the vertical axis but off the vertical axis in order to create a triangle from the square pyramid.
Thus, to produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
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Y varies directly with x. If x=150 and y=10 find y when x=60
Answer:
Step-by-step explanation:
x=150/10
=15
x=60
then y=60*1/15
=4
HELP ASAP ROCKY!!! will get branliest.
Answer:
x = -7
Step-by-step explanation:
4 ( 2x+14) =0
Divide by 4
2x+14 = 0
Subtract 14 from each side
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
Answer:
x = -7
Step-by-step explanation:
Apply the distributed property by multiplying 2x by 4 and 14 by 4, and then adding them together, so it now looks like this: 8x + 56 = 0Subtract 56 from each side of the equation, so it now looks like this: 8x = -56Divide each side by 8 to cancel out the 8 next to x. It should now look like this: x = -7Therefore, x is equals -7.
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+9z2 and between the planes y=5 and y=10.
Answer:
Hello your question is incomplete attached below is the complete question
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
attached below is the detailed solution
Determine whether this is valid or invalid argument
Answer:valid
Step-by-step explanation:
The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to estimate the difference between the average number of awakenings during the night between 45 -year-old men and 45 -year-old women.
Following are the calculation to the given equation:
The average number of awakenings during the night among 45-year-old men is 5.18 (approx) in the given graph.The average number of awakenings during the night among 45-year-old women is 3 (from the given graph).The distinction between the average numeral of awakening during the night between 45-year old (men and women) is [tex]\to 5.18 -3.00=2.18[/tex]Learn more:
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Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages the expression 5×3+5×6 shows the total number of stickers he used. Use the distributive property to write this expression anther way
Answer:
5(x+x)=2(3)+3
Step-by-step explanation:
The expression in other way can be written as 5* (3 larger + 6 small stickers)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
for example:
An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3
Given:
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages,
5 * 3 + 5 * 6
Using distributive property,
a* b + a* c = a* ( b + c)
So,
5* ( 3+ 6)
= 5* 9
=45
also, the another way is
As the pages in both case is 5.
So, 5* (3 larger + 6 small stickers)
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If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of F(x)?
Greetings from Brasil...
Given the function:
F(X) = 3X
We know that F(X) = Y, so rewriting the function:
Y = 3XLet's check what is the inverse function of F(X). Just change the X for the Y and vice versa
Y = 3X
X = 3Y isolating Y
Y = X/3
So the inverse of function F(X) is
F⁻¹(X) = G(X) = X/3QUESTION 1
Employees in 2018 paid 5.2% of their gross wages toward social security while employers paid another
7.3% How much will a person's employer pay towards social security if an employee makes $50,000 in
the year.
Answer:
$2600
Step-by-step explanation:
Given that:
the employee earns $50,000 in a year
The amount of money on wages paid by the employee towards social security = 5.2% of their gross wage
= [tex]\dfrac{ 5.2 \times 50000}{100}[/tex]
= $2600
if an employee makes $50,000 in the year, he will pay $2600 towards social security.
The other employees that paid 7.3% of their gross wages will not be regarded since they're paying it from their own fund.