La razón de niños a niñas en un baile de invierno es de 5 a 6. Si hay 90 niñas, ¿cuántos niños hay en el baile?
Subtract
5/2 - 6/8
help!
Answer:
11/12
Step-by-step explanation:
HEEEEEELLLLPPPPPPP PLSSSSSSSSSSSSSS
The answer is 2 and 7/20 or the 3rd answer.
Source: Calculator soup.
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determine whether each comparison is true or false
Only 1 > 3 / π and 6 / √34 > 0.6 are true comparisons with irrational numbers.
How to compare irrational numbers
Herein we find four cases of irrational numbers, whose quantities has to be compared with other numbers, by using algebra properties for inequalities:
Case 1
√75 > 9
√75 > √9²
√75 > √81 (FALSE)
Case 2
1 > 3 / π
π > 3 (TRUE)
Case 3
√8 > 10 /3
3√8 > 10
3√8 > √10²
√9 · √8 > √100
√72 > √100 (FALSE)
Case 4
6 / √34 > 6 / 10
10√34 > 36
√10² · √34 > √36²
√100 · √34 > √1296
√3400 > √1296 (TRUE)
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If kirndeep borrows $3000 at 14%/a compounding daily for 38 months. What is the time of this loan in years, rounded to one decimal?
Answer:
Time of loan in years = 3.167 = 3.2 years rounded to 1 decimal
Step-by-step explanation:
The question is only asking for the number of years, not the accrued principal. This should be straightforward:
38 months = 38/12 years = 3.166.... = 3.2 years rounded to 1 decimal point
Here are the accrued amount and interest computations in case you need them:
14% interest annually = 0.14 decimal
Since it is compounded daily we have to divide by 365, the number of days in a year
Also the time period will now be 365 x number of years = 365 x 3.2 = 1168 since it is being compounded daily
At 14% compounded daily, the accrued amount will be
[tex]A = \left( 1 + \dfrac{0.14}{365}\right)^{(365)( 3.2)} = \$4,695.13\\\\\mathrm{Interest } = \$4,695.13 - \$3000 = \$1,695.13[/tex]
What is -1 1/2 x -5 2/3 ?
Answer:
17/2 (or) 8.5
Step-by-step explanation:
Let's solve the problem,
→ -1 1/2 × -5 2/3
→ (-3/2) × (-17/3)
→ 17/2 (or) 8.5
So, the answer is 17/2.
give the prime factors
1.75
2.102
3.98
4.250
5.54
6.36
sagutin nyu bukas pasahan neto bilissssss hyup bagal broo
Answer:
to solve for a¹,replacen=1
There are 72 cars in the parking lot.If 54 leave the parking,what percentage of cars are left
Answer:
total cars= 72 cars
cars that left=54 cars
percentage of cars left=
[tex] \frac{54}{72 } \times 100 =0.75 \times 100 = 75\%[/tex]
so the answer is 75%
Position and label each triangle on the coordinate plane.
equilateral ΔD E F with sides 4 b units long
Equilateral ΔD E F with sides 4 b units long has been plotted below.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
An equilateral triangle is a triangle whose all sides are the same.
The all interior angle of an equilateral triangle is 60 degrees.
The length of each side of the given equilateral ΔDEF is 4b.
Hence "Equilateral ΔD E F with sides 4 b units long has been plotted below".
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Find the sum of each series. Σ⁶n=2 (-2) ⁿ⁻¹
The given series is a geometric series and its sum is -22
The summation or sigma notation is used to express long summation into a single formula.
The series, given in a summation notation, is:
[tex]\sum\limits^6_{n=2} {(-2)^{n-1}}[/tex]
The formula inside the sum notation represent the nth term, a(n).
Let evaluate the terms for some n
a(2) = (-2)²⁻¹ = (-2)¹ = -2
a(3) = (-2)³⁻¹ = (-2)² = 4
a(4) = (-2)⁴⁻¹ = (-2)³ = -8
This form a new geometric series, with the first term, let say f(1) = -2 and common ratio = -2.
The number of terms in this new geometric series is 5.
Use the sum formula for a geometric series,
S(n) = a(1) . (rⁿ - 1)/(r - 1)
Substitute n = 5, a(1) = -2, and r = -2 into the formula:
S(5) = -2 . ((-2)⁵ - 1) / ((-2) - 1)
S(5) = -2 . (-33) / (-3) = -22
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How many match sticks will there be in
the 6th picture?
1st
2nd
3rd
Step-by-step explanation:
1st=1 matchstick
2nd=4 matchsticks
3rd=7 matchsticks
1+4+7=12 matchsticks
Write an equation of each line.slope = -3/5 , through (-4,0)
The equation of the line in point-slope form, with slope equal to -3/5 and passing through the point located at (-4 , 0), is (y - 0) = -3/5(x + 4).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = -3/5 and (x1 , y1) = (-4 , 0)
(y - 0) = -3/5(x - -4)
(y - 0) = -3/5(x + 4)
In slope-intercept form, the equation of the line is:
(y - 0) = -3/5(x + 4)
y = -3/5 x - 12/5
In standard form, the equation of the line is:
y = -3/5 x - 12/5
3/5 x + y = -12/5
Multiplying both sides by 5,
3x + 5y = -12
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How do I solve this question?
The real interest rate is 1 percent.
The inflation rate is 3 percent.
What are the nominal and real interest rate and inflation rate?
Inflation rate is a rate that estimate the rise on prices of goods and services. The interest rate is a gain rate per unit time associated to invested capital. There are two kinds of interest rates: (i) Nominal interest rate - Inflation is neglected, (ii) Real interest rate - Inflation is not neglected.
Please notice that the difference between nominal interest rate (i) and the real interest rate (i') is the inflation rate (i''). That is:
i'' = i - i'
Now we proceed to find each missing variable:
(i = 4, i'' = 3)
i' = i - i''
i' = 4 - 3
i' = 1
The real interest rate is 1 percent.
(i' = 3, i = 6)
i'' = i - i'
i'' = 6 - 3
i'' = 3
The inflation rate is 3 percent.
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Suppose you select a number at random from the sample space 5,6,7,8,9,10,11,12,13,14 . Find each probability. P (integer)
Answer:
1/10
Step-by-step explanation:
If each number has an equal outcome(and there are 10 numbers), 100%/10 would equal 10%(or 1/10, or 0.1%) It is completely random though, if you got a 6 you could pull a 6 again. (I think this is correct I'm so sorry if it isn't) If you pulled two of the same numbers in a row you would do 1/10*1/10. That would equal 1/20, which is a 0.05%
Research and write about the history of pi and its importance to the study of geometry.
pi or π is a Greek word and its value is approximately 3.14 and it is an irrational number.
It is given that the letter is pi or π.
We have to write the history of pi and its importance to the study of geometry.
What is pi or π ?
pi or π is the ratio of the circumference of any circle to the diameter of that circle.
We know that ;
pi or π is a Greek letter. In decimal form, the value of pi is approximately 3.14 and it is an irrational number.
According to Petr Beckmann's A History of Pi, William Jones first used this Greek letter for some purpose in 1706. Around 30 years later, it became a standard symbol for mathematical notation.
Also ; it has been known for at least 4,000 years what Pi means. According to the history of Pi , who claims that by 2000 B.C , "the Babylonians and the Egyptians were aware about the existence and significance of this constant,"
Also ; every circle has the same ratio of circumference to diameter. Both the Babylonians and the Egyptians approximated the value of pi numerically, and later mathematicians in ancient Greece, especially Archimedes, improved these approximations.
Pi is a fundamental concept that appears in all branches of mathematics. It is a crucial concept that facilitates understanding of both universal truths and some mathematical concepts.
Thus , pi or π is a Greek word and its value is approximately 3.14 and it is an irrational number.
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Add -7/8+(-2 1/6) enter your answer as a simplified fraction by filling the boxes
Answer:
-3 1/24
Step-by-step explanation:
-7/8+(-2 1/6)
=-7/8-2 1/6
=-(7/8+2 1/6)
=-(21/24+2 4/24)
=-2 25/24
=-3 1/24
Use the given information to determine whether LM is a perpendicular bisector, median, and/or an altitude of ΔJ K L .
LM ⊥ JK and JL ≅ KL
If LM ⊥ JK and JL ≅ KL, we can prove ΔJLM ≅ KLM by HL. Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, is the perpendicular bisector, median, and altitude of ΔJKL.
What is meant by CPCTC?CPCTC is an abbreviation for "corresponding parts of congruent triangles are congruent," and it states that if two or more triangles are congruent, their corresponding angles and sides are also congruent.
CPCTC is frequently used at or near the end of a proof in which the student is asked to demonstrate that two angles or two sides are congruent. It means that if two triangles are proven to be congruent, the three pairs of sides that correspond must also be congruent, as must the three pairs of angles that correspond.
Since LM ⊥ JK and JL ≅ KL, we can prove ΔJLM ≅ KLM by HL. Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, is the perpendicular bisector, median, and altitude of ΔJKL.
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Gavin bikes 7.6 miles each day. How far does Gavin bike in 10 days?
please help with the question above
a) 1.515 is the distance in Angstrom between the two hydrogen atom.
b) 0.01515 mm is the value in millimetres of 1.515
What Armstrong unit?The angstrom is a metric length unit equal to 1010 m; that is, one ten-billionth (US) of a metre, one hundred-millionth of a centimetre, 0.1 nanometre, or 100 picometres. Its symbol is is a letter from the Swedish alphabet. The unit is named after Swedish physicist Anders Jonas Ångström.
As Both H atom is equidistance from O atom The triangles shown here is isosceles triangle, where two sides are equal
So, H0 = 0H = 0.958 Angstrom
And therefor Both angle of H = 37.75°
Now using the Law of Cosines for SAS triangles
c² = a² + b² - 2ab cos(c)
Here c is the distance of H and H atoms
c² = 0.958² + 0.958² - 2(0.958)(0.958) cos(104.5°)
c² = 1.835528 + 0.45958
c² =2.295108
c = √2.295108
c = 1.514961
Thus, 1.514961 is the distance in Angstrom between the two hydrogen atom.
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Find the ninth and tenth terms of each arithmetic sequence. 4,10,16,22, . . . .
The values of a9 and a10 are 52 and 58 respectively.
What is an arithmetic sequence?An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.
For the arithmetic sequence,
4,10,16,22, . . . .
a = 4
d = 6
an = a + (n - 1)d
a9 = 4 + (8)6
a9 = 4 + 48
a9 = 52
a10 = a + 9d
a10 = 4 + 9(6)
a10 = 4 + 54
a10 = 58
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A small can of paint was 1/2 of a liter. That was enough to fill 1/3 of a paint sprayer .How many cans of paint would it take to completely fill the sprayer
Answer:
1 1/2 small cans of paint
Step-by-step explanation:
1/2 = 1/3 of the sprayer, so I had to multiply 1/2 x 3, which is 1 1/2.
On January 1, North Country Hotel and Resort hired an independent contractor to develop scheduling software. This is a year contract for $120,000/annual. The contractor is paid bi-weekly on Fridays. The first pay period is for the week January 1-5 and January 8-12. Payday is January 19. Independent contractors are not employees, so the accounts payable department would normally issue the checks and generate a 1099 at the end of the year. Calculate the first paycheck payment to the independent contractor and record the journal entry. For our example, you can use Salaries and Wages Expense and Cash accounts.
The first paycheck payment to the independent contractor is $4,615.38
Dr. salaries and wages expense $4,615.38
Cr. salaries and wages payable $4,615.38
What is the amount of first bi-weekly pay to the contractors?
On the basis that there are 52 weeks in a year, hence, there would be 26 bi-weeks in a year, in order to determine the amount of first paycheck payment to the independent contractor, we simply divide the annual cost of contract by 26 bi-weeks in a year.
first paycheck payment =annual contract fees/26 bi-weeks
first paycheck payment =$120,000/26
first paycheck payment =$4,615.38
The paycheck refers to first 2 weeks which ends on on 12th January, whereas the actual payment would occur a week later on 19th of January, as a result, the amount is owed until 19th January, which means that salaries and wages expense would be debited and salaries and wages payable would be credited until actual payment is made on the 19th of January.
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A salesperson earns 11% commission on sales. The equation for the amount she earns in commission is c = 0.11s, where s is the amount sold. How much commission will she earn if the amount sold is $5000?
Answer:
550$
Step-by-step explanation:
Plug in 5000 as [tex]s[/tex] is our equation: [tex]c=0.11s[/tex] → [tex]c=0.11(5000)[/tex].
Answer:
550
Step-by-step explanation:
Point K is located at (-6, -3) on the coordinate plane. Point K is reflected over
the y-axis to create point K'. What ordered pair describes the location of K'?
Point K is located at (-6, -3) on the coordinate plane. Point K' is produced by reflecting point K over the y-axis. The ordered pair of the described location is K'(6,-3).
Given that,
Point K is located at (-6,-3) on the coordinate plane.
The sign of the x-coordinate is altered by reflection across the y-axis:
When a point is reflected across the x-axis, the x-coordinate stays constant, but the y-coordinate is thought to be the additive inverse. The x-axis shows a reflection of the point (x, y) as (x, -y).
When a point is reflected across the y-axis, the y-coordinate remains constant, but the x-coordinate is believed to be the additive inverse. The y-axis shows a reflection of the point (x, y) as (-x, y).
That is,
(x,y)⇒(-x,y)
K(-6,-3)⇒[tex]K^{'}[/tex](6,-3)
Therefore, the Point K is reflected over the y-axis to create point K'(6,-3).
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The temperature at 6:00 a.m. was 39°F. After 12 hours, the temperature had dropped by 57°F. What was the temperature after 12 hours?
Answer:
-18 Degrees F
Step-by-step explanation:
Circle J has a radius of 10 units, ®K has a radius of 8 units, and BC = 5.4 units. Find the measure.
AD
A circle is a curve sketched out by a point moving in a plane. The length of the side AD is 30.6 units.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
The Diagram for the given details is shown below.
The length of the different sides of the triangle can be written as,
AJ = JC = Radius of circle J = 10 units
BK = KD = Radius of circle K = 8 units
BC = 5.4 units
JB = JC - BC
= Radius of circle J - BC
= 10 units - 5.4 units
= 4.6 units
KC = KB - BC
= Radius of circle K - BC
= 8 units - 5.4 units
= 2.6 units
Now, the length of AD can be written as,
AD = AJ + JB + BC + CK + KD
= 10 units + 4.6 units + 5.4 units + 2.6 units + 8 units
= 30.6 units
Hence, the length of the side AD is 30.6 units.
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If f(x) = 6x â€" 1 and g (x) = startfraction x 1 over 6 endfraction, which expressions can be used to verify g(x) is the inverse of f(x)? check all that apply. 6(6x â€" 1) â€" 1 startfraction (6 x minus 1) 1 over 6 endfraction 6 (startfraction x 1 over 6 endfraction) minus 1 startstartfraction (startfraction x 1 over 6 endfraction) 1 overover 6 endendfraction startfraction x 1 over 6 endfraction 6 x minus 1
The expression used to verify whether g(x) is the inverse of f(x) is 6( [tex]\frac{x+1}{6}[/tex])-1 and [tex]\frac{(6x-1)+1}{6}[/tex]
Given that f(x) = 6x-1
and g(x) = [tex]\frac{x+1}{6}[/tex]
If inverse [tex]f^{-1}[/tex] exists for a function f(x), then [tex]f(f^{-1}(x)) = f^{-1}(f(x)) = x[/tex]
So to check if g(x) is the inverse of f(x) we find f(g(x)) and g(f(x))
f(g(x)) = f( [tex]\frac{x+1}{6}[/tex]) = 6( [tex]\frac{x+1}{6}[/tex])-1 = x
and g(f(x)) = g(6x-1) = [tex]\frac{(6x-1)+1}{6}[/tex] = x
So g(x) is the inverse of f(x) and the expressions used to verify this are:
6( [tex]\frac{x+1}{6}[/tex])-1 and [tex]\frac{(6x-1)+1}{6}[/tex]
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What is the solution for x in the equation?
12-
1x + ² = x - 4
OA. = 3
x
OB. = -3
x
O C.
= //
OD. x = -
Suppose we have to solve this equation ,
3x - 4 = 7x + 8
would be to first subtract 3x from both sides obtaining
-4 = 4x + 8,
then subtract 8 from both sides and get
-12 = 4x.
Now divide both sides by 4 obtaining
- 3 = x or x = - 3.
If we have to find the area of trapezoid,
A trapezoid has two parallel sides and two nonparallel sides. The parallel sides are called bases.Removing parentheses does not mean to merely erase them. We must multiply each term inside the parentheses by the factor preceding the parentheses.Changing the form of an answer is not necessary, but you should be able to recognize when you have a correct answer even though the form is not the same.An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
There are three major forms of linear equations:
point-slope form, standard form, and slope-intercept form.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.
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A bouquet contains 12 roses and 10 yellow flowers. 9 of the roses are yellow. How many flowers are in the bouquet?
Answer:
31 flowers in the bouquet
Find (-5.3x10<3) - (-8x10<2
-scientific notatiens
Answer:
-4500
Step-by-step explanation:
-5300 - (-800)
Step-by-step explanation:
{36+7[10÷)+9(2)]}÷4. ....
