Answer:
(0, 0.5)
Step-by-step explanation:
Let M is the midpoint of the line
x-coordinate of the midpoint:
xM = ( xA + xB ) / 2 = (-6 + 6) / 2 = 0
y-coordinate of the midpoint:
yM = (yA + yB) / 2 = (8 - 7) / 2 = 1/2 = 0.5
Answer: M (0, 0.5)
Answer:
(0, 0.5)
Step-by-step explanation:
QUESTION 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.
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
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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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]
State all possible names for the figure
Answer: C. quadrilateral
Step-by-step explanation:
Trapezoid means one side must be parallel, which does not exist in the image so A & D are ruled out.
Parallelogram means opposite sides are parallel which does not exist in this image so B is ruled out.
Quadrilateral means that the object contains 4 sides, which the image does so the answer is C.
Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
Answer: $64
Step-by-step explanation:
Let x be the amount of money he had before buying the video game
Given, 3/4 of x = 48
By cross-multiplying,
x = 64
Answer:
64
Step-by-step explanation: edge 2020
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
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
2x-10+x+x =180 find the value of x
Answer: 47.5
Step-by-step explanation:
Given
2x-10+x+x=180
combine like term x
4x-10=180
addition property of equality (add 10 on both sides)
4x=190
division property (divide 4 on both sides)
x=47.5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
your answer will be 47.5
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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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]
Rationalize the denominator of sqrt32/(sqrt16-sqrt2). The answer can be written as )AsqrtB+C)/D, where A, B, C, and D are integers, D is positive, and B is not divisible by the square of any prime. Find the minimum possible value of A+B+C+D.
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)[/tex]
It says it can be written in the form of
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A, B, C and D are integers, D is positive and B is not divisible by square of any prime
Rationalize equation 1:
[tex]\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}[/tex]
in denominator, use (a + b)(a - b) = [tex]a^{2} - b^{2}[/tex]
After multiplying numerator and denominator you should get
[tex]\frac{16\sqrt{2} + 8}{14}[/tex]
this is in the form
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A = 16, B = 2, C = 8, and D = 14
hope this helps you ^^
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
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. A number : minus 6 is greater than or
equal to 11.
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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Alguien que me pueda ayudar? jeje
Answer:
21 ÷7 =3
3 x 4 =12
aye 12 globos azules
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
∈∉THANKS! I BEG U PLEASE HELP ME!!!!!!!!!
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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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
$1 = 100 cents
[tex]\$6.00=\$6.00*\frac{100\ cent}{\$} =600\ cent\\\\\$6\ to\ 95\ cent=\frac{\$6}{95\ cent} = \frac{600\ cent}{95\ cent} = 6.32\ to\ 2\ decimal\ places[/tex]
2) 3 hours to 35 minutes
1 hour = 60 minutes
[tex]3\ hr=3\ hr*\frac{60\ minute}{1\ hr} =180\ minte\\\\3\ hr\ to\ 35\ minute=\frac{3\ hr}{35\ minute} = \frac{180\ minute}{35\ minute} = 5.14\ to\ 2\ decimal\ places[/tex]
3) 42 inches to 2 feet
1 inches = 0.0833 ft
[tex]42\ inch=42\ inch*\frac{0.0833\ feet}{1\ inch} =3.5\ feet\\\\42\ inch\ to\ 2\ feet=\frac{42\ inch}{2\ feet} = \frac{3.5\ feet}{2\ feet} = 1.75\ to\ 2\ decimal\ places[/tex]
The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview
Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
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.
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
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.
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
please help me it’d be truly appreciated luvs !
Step-by-step explanation:
5x - 2xy + 4y - 3y + 2x - z + 3xy
7x + xy + y - z
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
What number is halfway between 0 and negative 20
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.