Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6} +\frac{1}{3}[/tex]
4 = 2 × 2 × 1
6 = 2 × 3 × 1
3 = 3 × 1
GCF = 1
4 × 6 × 3 = 72
[tex]\frac{18}{72} +\frac{12}{72} +\frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Looking for your LCD (Least Common Denominator) of each fraction}\downarrow\\\\\\\mathsf{\dfrac{1}{4}=\dfrac{3}{12}}\\\\\\\mathsf{\dfrac{1}{6}=\dfrac{2}{12}}\\\\\\\mathsf{\dfrac{1}{3}=\dfrac{4}{12}}\\\\\\\\\\\large\textsf{The LCD is \underline{12}}[/tex]
[tex]\mathsf{\dfrac{1}{4}+\dfrac{1}{6}+\dfrac{1}{3}}[/tex]
[tex]\mathsf{= \ \dfrac{1\times3}{4\times3}+\dfrac{1\times2}{6\times2}+\dfrac{1\times4}{3\times4}}[/tex]
[tex]\large\textsf{Solving for the numerators (TOP numbers)}\downarrow\\\\\mathsf{1\times3=\boxed{\bf 3}}\\\\\mathsf{1\times2=\boxed{\bf 2}}\\\\\mathsf{1\times4=\boxed{\bf 4}}[/tex]
[tex]\large\textsf{Solving for the denominators (BOTTOM numbers)}\downarrow\\\\\mathsf{4\times3=\boxed{\bf 12}}\\\\\mathsf{6\times2=\boxed{\bf 12}}\\\\\mathsf{3\times4=\boxed{\bf 12}}[/tex]
[tex]\mathsf{=\ \dfrac{3+2+4}{12}}[/tex]
[tex]\large\textsf{Solving for your numerator (TOP number) }\downarrow\\\\\\\mathsf{3+2+4}\\\\\mathsf{= 5+4}\\\\\mathsf{= \boxed{\large\textsf{\bf 9}}}[/tex]
[tex]\mathsf{=\ \dfrac{9}{12}}[/tex]
[tex]\mathsf{\dfrac{9\div3}{12\div3}}\\\\\\\\\mathsf{9\div3= \boxed{\large\textsf{\bf 3}}}\\\\\mathsf{12\div3=\boxed{\large\textsf{\bf 4}}}[/tex]
[tex]\mathsf{= \dfrac{3}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\boxed{\mathsf{\bold{ \dfrac{9}{12}\ or\ \dfrac{3}{4}}\ either\ of\ those\ fractions\ should\ work\ because}}}}\\\boxed{\boxed{\large\textsf{they are equal to each other!}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA LA POBLACION QUE SE ESPERABA PARA EL 2012
Answer:
La población que se espera para el 2012, es 317,060
Step-by-step explanation:
Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.
Definamos P(t) = población después de t años
Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A
P(0) = A
Un año después, en t = 1, la población incrementa en un 2%
P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)
Otro año después, en t = 2, la población incrementa un 2% de vuelta.
P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)
= A*(1.02)*(1.02) = A*(1.02)^2
Ya podemos notar un patrón, la población en el año t va a ser:
P(t) = A*(1.02)^t
Sabemos que en t = 0 (el año 2000) la población es 250,000
Entonces A = 250,000
P(t) = 250,000*(1.02)^t
Ahora queremos calcular la población en el año 2012
entonces si t = 0 es el 2000
2012 esta representado con t = 12
Reemplazando eso en la ecuación, obtenemos:
P(12) = 250,000*(1.02)^12 = 317,060.4
Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.
Entonces la población que se espera para el 2012 es: 317,060
Please help out with this question!
Answer:
[tex]1. \: \: a = 4[/tex]
[tex]2. \: \: y = 16[/tex]
Step-by-step explanation:
[tex]1. \: \: a + 5 = 9[/tex]
[tex]a = 9 - 5[/tex]
[tex]a = 4[/tex]
[tex]2. \: \: y−4=12[/tex]
[tex]y=12+4[/tex]
[tex]y = 16[/tex]
Hope it is helpful....you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion
Classify the triangle by its angle and sides
Answer:
Right Triangle
Step-by-step explanation:
It has a 90 degree angle
a) Model this situation with a linear system:
To rent a car, a person is charged a daily rate and a fee for each kilometre driven. When Chena
rented a car for 6 days and drove 320 km, the charge was $286.00. When she rented the same car
for 10 days and drove 900 km, the charge was $605.00.
b) Determine the daily rate and the fee for each kilometre driven.
Answer:
The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
Step-by-step explanation:
Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:
286 = 6 days and 320 km
320/6 = 53,333 km
286/6 = $ 47,666
Thus, the value of 1 day and 53,333 km is $ 47,666.
605 = 10 days and 900 km
900/10 = 90 km
605/10 = $ 60.5
Thus, the value of 1 day and 90 km is $ 60.5.
90 - 53,333 = 36,666
60.5 - 47.666 = 12.833
12,833 / 36,666 = value per kilometer traveled
0.35 = value per kilometer traveled
(286 - (0.35 x 320)) / 6 = X
(286/112) / 6 = X
174/6 = X
29 = X
(605 - (0.35 x 900)) / 10 = X
(605 - 315) / 10 = X
290/10 = X
29 = X
Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.
URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3
Answer:
y=-12x-x
Step-by-step explanation:
y=mx + b
m=slope
m = -12
slope = rise / run -12/1
. If XZ = 7x + 1 and PZ = 4x − 1, what is XP? 11
12 19 22
Answer:
XP = 11
Step-by-step explanation:
Given that XZ = 7x + 1 and PZ = 4x − 1
From the diagram, XZ = 2PZ
7x + 1 = 2(4x-1)
7x+1 = 8x - 2
7x - 8x = -2 -1
-x = -3
x = 3
Since XP = PZ
XP = 4x - 1
XP = 4(3) - 1
XP = 12-1
XP = 11
Find the distance between two points (0, 3) and (-1,3).
Answer:
5
Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5
Answer:
1
Step-by-step explanation:
even if it is going back-wards, it is still one, think of it as absolute value
also again, if brainly tries to delete this answer, this community really is going down the dump
Which value of a would make the following expression completely factored?
x²-a
A.12
B.36
C.49
D.81
Answer:
The answer is 12.
12 is not a perfect square like the others.
Help
Will give
Brainlist
Answer
Answer:
the answer for this one is 39.2f. me being a Canadian and knowing that 0c is 32 Celsius it had to be larger and putting 4 Celsius thru a converter gives you 39.2
Step-by-step explanation:
please help me guys I am in trouble
Answer:
16π
Step-by-step explanation:
The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:
π * 4^2 is equal to 16π
HELPPPPP AGAIN please
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
solve for x: 11x+6=6x+11
[tex]\longrightarrow{\green{ x\:=\:1}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]11x + 6 = 6x + 11[/tex]
➼[tex] \: 11x - 6x = 11 - 6[/tex]
➼[tex] \: 5x = 5[/tex]
➼[tex] \: x = \frac{5}{5} [/tex]
➼[tex] \: x = 1[/tex]
Therefore, the value of [tex]x[/tex] is 1.
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex]11 \times 1 + 6 = 6 \times 1 + 11[/tex]
➼ [tex] \: 11 + 6 = 6 + 11[/tex]
➼[tex] \: 17 = 17[/tex]
➼ L. H. S. = R. H. S
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Need it fastttttt plssss I will give brainly
Answer:
385
Step-by-step explanation:
(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)
=3/4-7/24+14/5
=90/120 - 35/120 + 840/120
=46200/120
=385
Hope this helps!
The product of (3+2i) and a complex number is (17+7i)
The complex number is______
Answer:
The complex number is;
37 + 55i
Step-by-step explanation:
Here, we want to find the product of the two
We proceed as follows;
(3 + 2i)(17+ 7i)
= 3(17 + 7i) + 2i(17 + 7i)
= 51 + 21i + 34i + 14(i)^2
Recall; i = √(-1)
Thus, we have it that;
51 + 55i -14
= 51-14 + 55i
= 37 + 55i
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps
Answer:
a) 0.075 m
b) 2000 mm
c) 500 cm
d) ?
e) 0.0015 kg
f) 86400 seconds
g) 18000 seconds
Which of the following is a foci of x^2/16-y^2/4=1
Answer:
x(8;2)
Step-by-step explanation:
i think that
need help! question on picture.
Answer:
its Positive or absolute ....
BASE
-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN
Answer:
[tex]\displaystyle x^{\frac{2}{3}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]
Step 2: Simplify
Exponential Rule [Multiplying]: [tex]\displaystyle (x^{\frac{4}{3} + \frac{2}{3}})^{\frac{1}{3}}[/tex][Exponents] Add: [tex]\displaystyle (x^{2})^{\frac{1}{3}}[/tex]Exponential Rule [Powering]: [tex]\displaystyle x^{2 \cdot \frac{1}{3}}[/tex][Exponents] Multiply: [tex]\displaystyle x^{\frac{2}{3}}[/tex]You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
Find the surface area of each cube
26. A cube with each side length of 5.6 inches
Point O is the center of the circle.
Circle O is shown. Tangents D C and B C intersect at point C outside of the circle. Lines are drawn from points D and point B to center point O to form a quadrilateral. A line is drawn from point C to point A on the opposite side of the circle. The length of O D is 6, and the length of B C is 8. Angles D and B are right angles.
What is the perimeter of quadrilateral DOBC?
14 units
16 units
22 units
28 units
Answer:
28
Step-by-step explanation:
Answer:
its 25 yall !
Step-by-step explanation:
plz help i beg PLZZZZZZ NO SKIPPP
Answer:
C
8×3=24
so the answer is c
Geometry math Jim please help and show work thanks
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
Answer:
x-intercept: (3, 0)
y-intercept: (0, 2)
Step-by-step explanation:
For a function like:
y = f(x)
The x-intercept is the value of x when y = 0
the y-intercept is the value of y when x = 0
Also remember that an ordered pair is written as (x, y).
In this case we have the equation:
2*x + 3*y = 6
For the x-intercept, we just replace y by zero in the equation, then we get:
2*x + 3*0 = 6
Solving this for x, we get:
2*x = 6
x = 6/2 = 3
Then in this case, the ordered pair for the x-intercept is (3, 0)
For the y-intercept, we just need to replace x by zero in the equation:
2*0 + 3*y = 6
Solving this for y, we get:
3*y = 6
y = 6/3 = 2
Then the ordered pair for the y-intercept is (0, 2)
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
factor x^2+64
and
factor 16x^2+49
Answer:
Step-by-step explanation:
x^2+64=(x+8i)(x-8i)
16x^2+49=(4x+7i)(4x-7i)
Identity the range of the function shown in the graph.
Answer:
C) Y > 0
hope it helps uh
mark me as brainliest
Answer:
B
Step-by-step explanation:
The range is the values of y covered by the graph
The values of y go from 0 to 8 , then
range is 0 ≤ y ≤ 8
After a 20% discount the phone cost is $70.40. What was the original price?
Answer:
$84.48
Step-by-step explanation:
Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48
Hope this helps!
:)