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Troyanec [42]
3 years ago
10

the sum of three numbers is 2100. the first number x is equal to the sum of the other two (y and z) which are equal to each othe

r. what are the three numbers x,y and z
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.

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james spent 9/10 of an hour biking and 5/6 of an hour jogging. how much did james spent in biking and jogging
aleksley [76]

Answer:

james biked for 54 mins and jogged for 50 mins

Step-by-step explanation:

8 0
3 years ago
Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 .
max2010maxim [7]

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

P=(r,\theta)

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

P=(r,\theta+2n\pi)

P=(-r,\theta+(2n+1)\pi)

The given coordinates are P(5,-\frac{\pi}{6}). So, all polar coordinates of point P are

P=(5,-\frac{\pi}{6}+2n\pi)

P=(-5,-\frac{\pi}{6}+(2n+1)\pi)

Therefore correct option is B.

6 0
4 years ago
1. Determine whether or not each of the following is a Binomial random variable. If it is not a Binomial random variable, provid
satela [25.4K]

Answer:

a) You roll a die 25 times. Let X be the number of times that you roll "3".

* Is a Binomial

b) The SJSU football team will play 12 games next season. They have a 70% chance of winning each conference game and a 60% chance of winning each nonconference game. Let X be the number of games the SJSU football team wins next season.

* Not a Binomial because probability of success is not constant

c) Evelyn has a 75% chance of getting an A in each class she takes. Let X be the number of times Evelyn earns an A during four years at SJSU.

* Is a Binomial

8 0
4 years ago
In 2012, on average, about $9.46\times10^{-1}$ pound of potatoes was produced for every $2.3\times10^{-5}$ acre harvested. How m
muminat

Answer:

4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre

Step-by-step explanation:

9.46 × 10⁻¹ pounds of potatoes were produced for every 2.3 × 10⁻⁵ acre harvested. The average pounds of potatoes harvested per acre would be pounds of potatoes/acres harvested =  9.46 × 10⁻¹ pounds/2.3 × 10⁻⁵ acre = 4.113 × 10 ⁻¹⁻⁻⁵ = 4.113 × 10⁵⁻¹ = 4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre.

6 0
3 years ago
Find two numbers whose sum is 67 and whose difference is 13
goblinko [34]
I believe it's 40 and 27
5 0
3 years ago
Read 2 more answers
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