Related questions in Mathematics
step1: subtract Y2 and Y1. then find the different of x_value, which is 14-10/-7-8
step2: after u find the differences, u will get 4/(-15) .
finally, you will get a slope. y=4/-15x+b.
Find two consecutive integers such that ten more than twice the smaller is seven less than three times the larger.
and the second one should be x+1
according to the question
2x+10 = 3(x+1) - 7
2x+10 = 3x+3-7
2x +10 = 3x-4
2x-3x+10+4 = 0
-x + 14= 0
-x = -14
minus got canceled out
x = 14 and
so the numbers are 14 and 15
Find two consecutive even integers such that their sum is equal to the difference of three times the larger and two times the smaller.
the numbers are: 4 and 6
Im thinking of a number .the 1000s digit is lower than 4.the100s digit is 4 . the 10s digit is even .the 1s digit is 6.find eight possible number
way 2: draw 3 tally marks then 4 more then 5 more then count them all together to get the sum 12
hope this helped:)
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =
Hence, we have:
a= 3 and b= 4
It is given that:
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
Since, we know that :
Hence, we have:
i.e. we have:
On multiplying equation (1) by 2 and equation (2) by 3 we get:
on putting the value of a into equation (1) we get:
EXERCISE A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month.
A square field is to be ploughed ramu gets it ploughed in rupees 34560 at the rate of 15 perm sq find the side of square field.
you want to make x the subject
square both sides
now replace y with x
Doreen schmidt is a chemist. She needs to prepare 36 ounces of a 10% shydrochloric acid solution. Find the amount of 18% solution and the amount of 9% solution she should mix to get this solution
Amount of 18% solution = x
Amount of 9% solution = 36 - x
Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.
Amount of HCl = x*0.18 + (36 - x)*0.09
If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,
[x*0.18 + (36 - x)*0.09]/36 = 0.1
x*0.09 + 3.24 = 3.6
.09x = 0.36
x = 4
4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution
[(4*.18) + (.09*32)]/36 = 0.1?
0.1 = 0.1 Yes.
The area of rectangle is 1936m sq. if the length is 4 times its breadth. find the dimension of the rectangle.
So, length = 4x m.
Area of the rectangle = 1936m sq.
4x × x = 1936
4x^2 = 1936
x^2 = 1936/4
x^2 = 484
x = √484
x = √22×22
x = 22
Hence, breadth = 22m.
Length = (4×22)m = 88m.
Find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube
1)We have to calculate the surface of this cubical box.
Rate=cost of painting / surface ⇒surface=cost of painting/rate
cost of painting=$1440
2)We find out the length of the side:
Surface of a cubical box=6(side²)
Surface of a cubical box=96 m2
side=√(16 m²)=4 m
3) We find the volume of a cubical box.
Answer: the volume of this cubical box would be 64 m³.
A petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning
Then, find the number of goats and put that into a ratio with 24
This ratio means that for every 6 animals there is 1 goat
Hope this helps :D
A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line? A. The run is 4, the rise is 5. B. The rise is –5, the run is 4. C. The run is –5, the rise is 4. D. The rise is –4, the run is –5.
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 6 ft from the wall.)
cos(Ф) = x/10
2) Take the derivative/gradient in terms of time (t) to find the related rates.
d[cos(Ф)]/dt = d[x/10]/dt
-sin(Ф)*dФ/dt = (1/10)*dx/dt
dФ/dt = -(dx/dt)/(10*sin(Ф))
3) Substitute in the constants for the moment in time
Given: dx/dt = 0.6; x=6 -> Ф = cos-1(6/10) = ~0.93rad
Therefore: dФ/dt = -3/40 rad/sec
Cameras R Us buys cameras at wholesale and sells them at a 40% markup. Use the diagram to find the wholesale price of a camera the store sells for $77.
dunno what b is
add 2n to both sides
add 2 to both sides
divide both sides by 2
add 2 to both sides
the number is 10