Answer:
0.3
Step-by-step explanation:
You have to divide 2.4 ➗ 8
Is -√15 an imaginary or irrational number?
Answer:
irrational
[tex]\sqrt{-15}[/tex] would be imaginary
Step-by-step explanation:
Hey there! I'm happy to help!
An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.
An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:
i²=-1
so
√-1=i
We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.
We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....
Have a wonderful day and keep on learning :)
the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
Answer: x= -189, y =252
Step-by-step explanation:
Let the first number be x and second number be y
so
x + y = 63
x = 63-y
now
1/9 of x + 1/6 of y = 21
x/9 + y/6 = 21
substituting x's value from equation i
(63-y)/9 + y/6 = 21
(378-6y+9y)/54 = 21
378+3y = 1134
3y = 1134-378
so, 3y = 756
so, y = 756/3
so, y = 252
now
x = 63-252
so, x = -189
En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el número total de personas que usan gafas es 11. ¿Cuántos hombres y mujeres hay en la empresa?
Pregunta completa:
En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el numero total de personas que usan gafas es 11. ¿Cuantos hombres y mujeres hay en la empresa?
Responder:
Hombres = 25
Mujeres = 35
Explicación paso a paso:
Dado lo siguiente:
Número de personas que trabajan en la empresa = 60
Porcentaje de hombres que usan anteojos = 16%
Porcentaje de mujeres que usan anteojos = 20%
Número total de personas que usan anteojos = 11
Suponga, Número de hombres en la empresa = m
Número de mujeres = número total - número de hombres = 60 - m
Por lo tanto,
16% de los hombres = 0,16 m
20% de mujeres = 0,2 (60 - m) = 12 - 0,2 m
Por lo tanto,
0,16 m + 12 - 0,2 m = 11
- 0,04 m = 11 - 12
-0,04 m = - 1
m = 1 / 0.04 = 25
Por tanto, Número de hombres en la empresa = m = 25
Número de mujeres en la empresa = (60 - m) = (60 - 25) = 35 mujeres
kelly used 2.1 x 10^6 KB of data so far this month. her younger brother joseph used 7 x 10^5 KB of the data so far this month if their share family plan allows them to use 3,000,000 KB of the data each month, how much data usage o they have available for the remainder of this month?
Answer:
They will 200,000 kb left
Step-by-step explanation:
2.1 x 10^6=2,100,000 7 x 10^5=700,000
Tim owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells the shorts for $12 and the T-shirts for $8 each. Tim can work 18
hours a day, at most. It takes him 30 minutes to design a T-shirt and 45
minutes to design a pair of shorts. He must design at least 12 items each
day, but he cannot design more than 30 items in one day. Which set of
inequalities below represents this scenario?
A. s 2 12 + $ ss 30 + tiss 24-0.66t, s2; 0; t2 0
B. s> 12-tss 30 - t Ss 24 -0.66t, s 2 0; t> 0
O c. s? 12-ts? 30-tss 24 -0.66t, s 2 0;t20
D. S 2 12-tss 30-ts 24 -0.66t, s 20; t 0
Answer:
The correct option is;
B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t
Step-by-step explanation:
The given parameters are;
The number of T-shirts, t, and shorts, s, Tim must design a day = 12
The maximum number of T-shirts and shorts Tim can design a day = 30
The maximum number of hours Tim can work = 18 hours
Therefore, we have;
The number of shorts Tim designs in a day is ≥ The minimum number of T-shirts and shorts Tim must design a day less the number of T-shirts Tim designs
Which gives;
s ≥ 12 - t
Also the number of shorts Tim designs in a day is ≤ The maximum number of T-shirts, and shorts, Tim can design a day less the number of T-shirts Tim designs
Which gives;
s ≤ 30 - t
The number of 45 minute period for the design of shorts in 18 hours = 18×60/45 = 24
The fraction of 36 minutes in 45 minutes = 36/45 = 0.667
Therefore we have;
The number of shorts Tim designs in a day is ≤ The number of 45 minute periods in 18 hours less the number of 36 minutes periods used to design T-shirts
Which gives;
s ≤ 24 - 0.66·t
The correct option is s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t.
Answer:
B. s> 12-tss 30 - t Ss 24 -0.66t, s 2 0; t> 0
Step-by-step explanation:
Hope this helps!!
can someone slove this −8 + x = 3
Answer:
11
Step-by-step explanation:
Subtract:
-8 + x = 3
+8 +8
--------------
x = 11
Hope this helped.
Answer:
x = 11
Step-by-step explanation:
−8 + x = 3
Add 8 to both sides
x = 11 ✓
find the area of abc
6m 20m 60m
Answer:
The area of ABC is 60m sq.
Step-by-step explanation:
Area of triangle = 1/2×base×height
so, Area=1/2×20×6
Area= 60m sq.
Olivia has 4 2/3 yards of fabric to make scarves. She needs 3/4 yards for one scarf. How many
scarves can she make?
Answer:
6 scarves
Step-by-step explanation:
So we know that 3/4 yd. = 1 (scarf)
We have 4 2/3 material to make the scarves
=> convert to an improper fraction 4 2/3 = 14/3
=> Divide material by needed amt.
=> 14/3 / 3/4 = 14/3 x 4/3=> 14/3 x 4/3 = 56/9
56/9 = 6 2/9
But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.
Hope this helps!
Ms. Davis writes an equation on the board.
(-6) + 6 = 0
Which scenario could represent this equation?
There are many answers we could go with here. One such answer could be the following:
You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.
---------------------------------
Another possible answer could be this:
You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.
---------------------------------
Another possible answer could be this:
Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.
-----------------------------------
I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.
How to do this question plz answer me step by step plzz
Answer:
4 cm
Step-by-step explanation:
At 12 cm depth, the depth is 12/15 = 4/5 of the height of the container.
When the container is tipped on its side, so its height is 5 cm, the depth will still be 4/5 of the height.
(4/5)(5 cm) = 4 cm
The depth will be 4 cm.
A farmer has 2000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this. 4.
Answer:
500 plantsStep-by-step explanation:
Step one:
given that the number of plants the farmer has is 2000
for him to plant in equal rows and column he needs an amount of plant the is a perfect square.
The closest number to a perfect square is 2500
Step two:
From the above figure which is 2500 plants, the farmer is able to plant 50 rows and 50 columns.
multiplying these values together will amount to 2500
Hence the farmer needs at least 500 plants to achieve this
Answer:
25
Step-by-step explanation:
Number of plants = 2000
He wants to plant such that number of rows and column of plants remain the same, Find the minimum number of plants he needs more for this:
To obtain this,
We take the square root of 2000
Sqrt(2000) = 44.721359
Therefore, the number of columns and rows we need is a natural number whereby the square root of its square is perfect (that is leaves no remainder).
The minimum number will thus be ; the next natural number or integer after 44.721359, whish is 45
Taking the square of 45
45^2 = 2025
The minimum number of plants needed more is :
2025 - 2000 = 25 plants
The parent council is in charge of making lemonade for field day.They purchased 19 bags of lemon.each bag has 24 lemons.The recipe says that a gallon of lemonade will require 8 lemons.they will be able to pour 12 cups of lemonade from each gallon that they make.How many cups of lemonade will the parent council be able to serve?
Answer:
684
Step-by-step explanation:
19 x 24 = 456
456 divided by 8 = 57
57 x 12 = 684
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2
ans. 46.5m2......................
f(x)=2-3x domain= {-1,0,1,2}
Answer:
range = {5, 2, -1, -4}
Step-by-step explanation:
Maybe you want the corresponding range.
f({-1, 0, 1, 2}) = 2 -3{-1, 0, 1, 2} = 2 +{3, 0, -3, -6} = {5, 2, -1, -4}
We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.
Answer:
V / ( pi r^2) = h
Step-by-step explanation:
V = pi r^2 h
Divide each side by pi r^2
V / ( pi r^2) = pi r^2 h / pi r^2
V / ( pi r^2) = h
i’m pretty bad at math
Answer:
2m - 3
Step-by-step explanation:
We know that Jim ran m miles. Twice that amount is simply 2 times that, or 2 * m which simplifies to 2m. 3 miles fewer means that we have to subtract 3 from that quantity, so the answer is 2m - 3.
Answer:
2m - 3
Step-by-step explanation:
Distance ran by Jim = m
Twice as far as Jim : 2 * m = 2m
3 miles fewer than '2m' = 2m - 3
Distance ran by Kelly = 2m - 3
What is 9x - 2 - 13x + 16 simplified ???
Answer:
Simplifying
9x + -2 + -13x + 16 = 0
Reorder the terms:
-2 + 16 + 9x + -13x = 0
Combine like terms: -2 + 16 = 14
14 + 9x + -13x = 0
Combine like terms: 9x + -13x = -4x
14 + -4x = 0
Solving
14 + -4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + -4x = 0 + -14
Combine like terms: 14 + -14 = 0
0 + -4x = 0 + -14
-4x = 0 + -14
Combine like terms: 0 + -14 = -14
-4x = -14
Divide each side by '-4'.
x = 3.5
Simplifying
x = 3.5
Step-by-step explanation:
Answer:
-4x+14
Step-by-step explanation:
Collect "Like Terms" (9x and -13) = -4x
-4x - 2 + 16= -4x + 14
HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line
Answer:
same line
Step-by-step explanation:
its the exact same equation, but the second is multiplied by 2
What are the lower quartile, upper quartile, and median for this box and
whisker plot?
A) LQ = 22 UQ = 10 Median = 18.5
B) LQ = 10 UQ = 22 Median = 18
C) LQ = 10 UQ = 22 Median = 18.5
D) LQ = 10 UQ = 22 Median = 19
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The lower quartile range is shown by the bottom of the box which is at 10.
The median is shown in the middle line, which is closer to 18 than 18.5.
The upper quartile range in the end of the box, which is at 22!
(You can also look at the picture attached if that helps.)
Can integers be written as fractions?
Answer:
Step-by-step explanation:
Yes you can just write them with denominator 1,
So 3 = 3/1 and -6 = -6/1.
Answer:
Yes.
Step-by-step explanation:
ALL real numbers can be written as fractions, and since integers fall under the category of real numbers, it is official that they can be written as fractions.
I am joyous to assist you at any time.
Please answer it now in two minutes
Answer:
x = 84
Step-by-step explanation:
∠ UWV is an angle in a semicircle and is right = 90°
VW = UW thus Δ UVW is right isosceles, thus
∠ UVW = ∠ WUV = 45° ( sum of angles in triangle ) , thus
x - 39 = 45 ( add 39 to both sides )
x = 84
PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
[tex]A_s = 36\pi - 72[/tex]
Step-by-step explanation:
[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]
A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all 5.73 inches. If the height of the box is 18.10 inches, what is the surface area of the wood used to make the jewelry box?
Answer:
792.9 in²
Step-by-step Explanation:
Given:
Area of the base of the regular hexagonal prism box (B) = 85.3 in²
Each side length of hexagonal base (s) = 5.73 in
Height of prism box (h) = 18.10 in
Required:
Surface area of the wood used in making the hexagonal prism box
SOLUTION:
Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)
Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)
Perimeter of base = 34.38 in
Height = 18.10 in
Base area is already given as 85.3 in²
Surface area of the hexagonal prism box [tex] = (34.38*18.10) + 2(85.3) [/tex]
[tex] = 622.278 + 170.6 = 792.878 in^2 [/tex]
Surface area of the wood used in making the jewelry box ≈ 792.9 in²
Given 4,7,10,13. Calculate the 20th term.
Answer:
61
Step-by-step explanation:
to calculate the 20th term you use the formula
Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:
Tn=4+(20-1)3
=4+19×3
=4+57
=61
the 20th term is 61
I hope this helps
what is the value of 600.79-40.0032+5.01 to the nearest Hundredths
Answer:
565.80
Step-by-step explanation:
600.79-40.0032+5.01 = 565.7968
565.7968 to the nearest Hundredths =
565.80
Answer:
565.80
Step-by-step explanation:
600.79 - 40.0032 + 5.01
600.79 - 40.0032 = 560.7868
560.7868 + 5.01 = 565.7968
565.7968 to the nearest hundredth = 565.80
Factor 6x2 + 12x - 9 completely.
A
3(2x² + (-3)
+ 4x –
B 6x(x – 7)
3(2x - 3)(x + 1)
D 3(2x + 1) (x – 3)
Answer:
work is pictured and shown
Can you help me please?
Answer: Repeating decimals
Fractions
Terminating decimals.
Step-by-step explanation:
A rational number is a number that can be expressed as [tex]\dfrac{p}{q}[/tex] , where 'p' and 'q' are two integers and 'q' is not equal to 0.The set of rational number includes integers (...-1,0,1....), terminating decimals, and repeating decimals and fractions.But imaginary numbers comes in the set of irrational number as it cannot be expressed as fractions.
Hence, the correct choices are :
Repeating decimals
Fractions
Terminating decimals.
A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?
Answer:
P = 3
Step-by-step explanation:
L = 4*w
P = 27 + w
P = 2*L + 2*w = 27 + w
2L = 2*(4w) = 8w
Put that into the perimeter formula (the first one.)
P = 8w + 2w = 27 + w
10w = 27 + w Subtract w from both sides
9w = 27 Divide by 9
w = 27 / 9
w = 3
You should find the Length just so you can check it.
L = 4w
L = 4*3
L = 12
Check
P = 2L + 2w
P = 2*12 + 2*3 = 30
P = 27 + w
P = 27 + 3
P = 30 and everything checks.
I need help ASAP!! Please explain how to solve the problem
Answer:
area of base = pi x radius^2 = (ill use 3.14 as pi)
3.14 x 7^2 = 153.86 in^2
height = 12
circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in
surface area = perimeter of base x height (lateral area) + 2 x area of base
= 43.96 x 12 = 527.52 + 2(153.86) = 835.24
hope that answers your question
(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)
Christine's gross monthly salary at her job
is $5,250. She has the following
deductions from her paycheck.
What is Christine's net take-home pay per
month?
Answer:
$2587.87 per month
Step-by-step explanation:
The listed deductions are ...
25% withheld for federal income tax9.3% withheld for California state income tax6.2% withheld for Social Security tax1.45% withheld for Medicare Tax0.9% withheld for SDI- Disability Insurance5% goes into her retirement 401K account$150 goes to health insurance/ dental for her familyThe percentages have a total of ...
25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent
So, Christine's take-home pay is ...
$5250(1 -0.4785) -150 = $2587.87 . . . per month