Given:
y is directly proportional to x.
[tex]y=30[/tex] when [tex]x=5[/tex]
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get
[tex]30=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{30}{5}=k[/tex]
[tex]6=k[/tex]
Substituting [tex]k=6[/tex] in (i), we get
[tex]y=6x[/tex]
Therefore, the required equation is [tex]y=6x[/tex].
What is the first step in solving for w in the equation 3W + 5 = 14?
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 )
can anyone tell me the solution?
Answer:
[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]
Step-by-step explanation:
[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]
Add -12y to both sides:
[tex]5x+12y-69-12y=10-12y[/tex]
[tex]5x-69=-12y+10[/tex]
Add 69 to both sides:
[tex]5x-69+69=-12y+10+69[/tex]
[tex]5x=-12y+79[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]
[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]
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
SOMEONE PLEASE HELP QUICKLY I WILL GIVE BRAINLIEST TO THE QUICKEST ANSWER
A two-digit locker combination is made up of two non-zero digits. Digits in
a combination are not repeated and range from 3 through 8.
Event A = choosing an odd number for the first digit
Event B = choosing an odd number for the second digit
If a combination is chosen at random, with each possible locker
combination being equally likely, what is P(A and B) expressed in simplest
form?
Answer:
1/6
Step-by-step explanation:
PLEASE HELP!!!! i need this done tonight and i dont know how to do it
Answer:
x=-2/3
Step-by-step explanation:
So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.
4x+-9x=-5x
Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:
2/3+7/2-5/6=-5x
A quick trick for adding and subtract fractions is to cross multiply.
2/3+7/2
Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.
3*2=6 (our denominator)
3*7=21
21/6
2*2=4/6
21/6+4/6=
25/6
Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.
Now, all we're left with is:
20/6=-5x
We can multiply 6 on both sides to isolate the 20.
20=-30x
Divide -30 on both sides!
x=-2/3
Hope this helps!
Classify the triangle by its angle and sides
Answer:
Right Triangle
Step-by-step explanation:
It has a 90 degree angle
write one eighth as a decimal
Answer:
0.125
Step-by-step explanation
one eighth = 1/8
Divide the numerator by denominator and the answer is 0.125
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
need help! question on picture.
Answer:
its Positive or absolute ....
Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answer:
5.4
Step-by-step explanation:
Juss took the test
Which equation represents a hyperbola with a center at (0, 0), a vertex at (0, 60), and a focus at (0, −65)?
Answer:
d
Step-by-step explanation:
on edge
Answer:
D!!
Step-by-step explanation:
Got it right
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
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
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:
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
!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!
Answer:
B) 376 units squared
Step-by-step explanation:
Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)
Btw saw your other one got deleted •_• *sigh*
. 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
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:
Test 645 for divisibility by 2, 3, 5, 9, and 10.
Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.
To start divide it by each of them:
59859/2=29929.5
59859/3= 19953
59859/5= 11971.8
59859/9= 6651
59859/10= 5985.9
Now look at which of the choices are whole numbers
3 and 9 are the only non decimal numbers, therefore, C would be your answer.
Step-by-step explanation:
you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion
HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?
Answer:
Sergio will buy first
It will take 34 weeks for Sergio
and 45 weeks for Lia
Step-by-step explanation:
Given Info: Per week Sergio Saves $24
How:
divide $72 by 4 weeks to find how much Lia is earning per 1 week.
72/4= 18
So Lia is saving 18$ per week while Sergio saves $24 per week
24>18
Sergio will save more per week so he will get it first.
It will take 34 weeks for Sergio
and 45 weeks for Lia
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)
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....Suppose y varies directly with x, and y = 13 when x = 39. What direct variation equation relates x and y?
Answer:
y = 1/3 x
Step-by-step explanation:
y = kx
13 = k 39
k = 13/39
k = 1/3
y = 1/3 x
What is the value of 5 1/3 - 4 12
Help
Answer:
The answer is 5/6.
Step-by-step explanation:
If both the numbers are mixed then,
(5 1/3) - (4 1/2)
= {(3*5)+1}/3 - {(2*4)+1}/2
= (16/3) - (9/2)
= (32-27)/6
= 5/6
Hope this helps.
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!
:)
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.
If 5.6 times 0.52= 2.912, then 0.56 times 520 =
Answer:
29120
Step-by-step explanation:
if 5.6 × 0.52 = 2912
then,
0.56 × 520 = 29120
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]