Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .
• According to the Question ,
[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]
where k is a constant .And ,
[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]
[tex]\sf\longrightarrow k = 7*5 \\ [/tex]
[tex]\bf\longrightarrow k = 35[/tex]
Now , when x is 5 ,
[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]
[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]
[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]
How do you solve the following equation: n+2*0.5n+1
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
please give me the answer
Answer: i’m pretty sure it’s a, if not you can delete this message.
Answer:
B (1.5,2)
Step-by-step explanation:
(4-1)/2,(0+4)/2=
3/2,4/2=
(1.5,2)
Write an equation that represents this question below ...
Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.
Answer:
2+2 =22. ♀️ ................
Anybody know the answer and how did you get it
Answer:
so I'm guessing you're solving for x
because angle 2 is the vertical angle to angle 3 so this means that they are congruent
4x-26=3x+4
4x-3x=4+26
x=30
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.
Pls helppp it’s due soon!
Will give brainliest if your answer is right
Answer:
19.4
Step-by-step explanation:
This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4
The ratio of male to female bats under the Congress Avenue Bridge in Austin, Texas is 5/4. If you were to see 486 bats fly out from under the bridge, how many would you expect to be female?
Answer:
216 bats will be female
Step-by-step explanation:
First, you set it up for a cross multiply
9 = 486
4 x
We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.
9x = 1944
x= 216
So 216 bats will be female
If you liked this, please give me brainliest.
Thankyou
WILLL GIVE POINTS
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)
Answer:
(1,1) (0,1) (2,-2) (3,2)
Step-by-step explanation:
So with dilation you have to mulitply thE numbers by the one said in the problem which Was 1/3. So after doing that I got those coordinates.
A person travels 7/9 of a mile in 1/4 of an hour, how far will he travel in 1 hour
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
Find an equation of the circle that has center (-6,2) and passes through (1,-2).
Answer:
(x+6)^2+(y-2)^2=65
Step-by-step explanation:
Answer:
Should be (x+6)^2+(y-2)^2=65
the number after the carrot represents an exponent
hope it helps
What is 5,000 x 1,000
Answer:
The Answer is 5,000,000
Hope this helps!!
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
HELP PLEASE, LOOK AT PICTURE FOR WHOLE PROBLEM.. PLEASE ANSWER QUICK I DON'T HAVE MUCH TIME LEFT TO ANSWER
Answer:
2[tex]\sqrt{8}[/tex]
Step-by-step explanation:
According to Euclidian theorem :
h^2 = 4*8
h^2 = 32 find the root for both sides
h = 2[tex]\sqrt{8}[/tex]
If you have a line with a Slope of -4 and a y-intercept of -2, what would be the equation of that line?
Question 6 options:
y = -4x + 2
y = -2x - 4
y = -4x - 2
y = -2x + 4
Answer:
y = -4x - 2
Step-by-step explanation:
y = mx + b where
m = slope, and b = y-intercept
slope = -4 = m
y-intercept = -2 = b
y = mx + b
y = -4x - 2
Answer: y = -4x - 2
After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?
a (n)=a1 × r^(n-1)
a1=5120
a2=1280
a3=320
a4=80
-->a2/a1=1280/5120=0.25
-->a3/a2=320/1280=0.25
-->a4/a3=80/320=0.25
ration(r) =0.25
■■■a(n)=a1 × r^(n-1)■■■
a (5)=5120×0.25^(5-1)
a (5)=5120 × 0.25 ^(4)
a (5) = 5120 × 0.00390625
a (5) = 20
sir? sir? are u there? help me -_-
Answer:
a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.
However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]
b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.
However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]
What percent of 80 is 112? Please hurry!
Answer:
140
Step-by-step explanation:
Here you go. Hope it helps you
Cuanto es 1/3 + 5/8 + 1/2
Answer:
35/24
Step-by-step explanation:
1/3 + 5/8 + 1/2
8/24 + 15/24 + 12/24
Hola!
Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.
4(1/2)= 4/8
1/3 + 5/8 + 4/8
1/3 + 9/8
Ahora necesitamos encontrar un denominador común de 3 y 8.
El mínimo común múltiplo de 3 y 8 es 24.
8(1/3)= 8/24
3(9/8)= 27/24
8/24 + 27/24= 35/24
Entonces tu respuesta es 35/24!!
Lo siento si mi español no es bueno.
PLEASE HELp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
you have to divide.....hope this helps!
To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
what are some different ways to write c=2.95g
-7(11) is -77 or 81
Hi there!
-7(11) is equivilent to -7*11 which equals -77.
Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?
Answer:
She sold 14 items
Step-by-step explanation:
530 - 180 = 350
350 / 25 = 14
Find the slope of the line through each pair of points.
(-10,8), (5,-5)
Answer:
-0.86667
Step-by-step explanation:
m = -13 / 15 = -0.86667
Find the area of the sector
if r = 15
A≈706.86
Steps:
A = πr²=π·15²≈706.85835 ( round to the nearest tenth )
= 706.86
Circle Formula:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
The conditions for triangle side lengths are:
A + B > C
A + C > B
B + C > A
The reverse is true too, of course:
A < B + C
B < A + C
C < A + B
Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )
With those in mind, if 15 and 1 are A and B:
15 + 1 > C
15 + C > 1
1 + C > 15
And those can be simplified to these:
C < 16
C > -14 ( can be ignored because of the next one)
C > 14
And finally:
14 < C < 16
The largest whole number that fits those requirements is 15.
(04.04)
Which graph represents a linear function? (4 points)
Group of answer choices
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.
So it is in the form of f(x) = ax + b.
Lets now check the possible answers : (second answer :) "a curved line", not correct.
(third answer:) "a parabola", this is not a straight line, so not correct.
(fourth answer:) "a wavy line", not a straight line, so not correct.
The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.