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4 years ago

Pls help! 5,6,7 30 points

Mathematics

1 answer:

Deffense [45]4 years ago

3 0

Jon=x-2 jor=x

2(x-2)=x+6

2x-4=x+6

combine like terms

x=10 Jordan's age

x-2 or 10-2 =8 Jonathan's age

13-10= 3 years apart

when aylon was 3 Karina was 6

2×3 =6

this was 7 years ago(answer)

10-3=7

13-6=7

48-36=12 years apart

when kd was 6 and md 18

3×6=18

30 years ago

36-6=30

48-18=30

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√8 as an irrational number rounded to nearest hundredth

VLD [36.1K]

Answer:

2.83

Step-by-step explanation:

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3 years ago

U.S cities hire about 17,000 police officers per 10,000 residents for a 17/10,000 ratio a new police chief for a city of 35,000

mina [271]

Answer: 59,500

Step-by-step explanation:

Given

For 10,000 residents, 17,000 police officers are hired

The ratio of Police officers and citizens is constant

So, for 35,000 citizens suppose x officers are hired

$\Rightarrow \dfrac{17,000}{10,000}=\dfrac{x}{35,000}\\\\\Rightarrow x=1.7\times 35,000\\\\\Rightarrow x=59,500$

Thus, 59,500 officers are required.

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3 years ago

How do I find two integers whose sum is -6

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You can use two negative numbers and add them to get -6. An example can be -4+-2=-6

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4 years ago

Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d

guapka [62]

Answer:

$\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C$

Step-by-step explanation:

Given the indefinite integral $\int\limits{\frac{x^2-16}{x} } \, dx$ , using the substitute

x = 4 sec(θ)...1

The integral can be calculated as thus;

First let us diffrentiate the substitute function with respect to θ

dx/dθ = 4secθtanθ

dx = 4secθtanθdθ... 2

Substituting equation 1 and 2 into the integral function we will have;

$\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\$

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3 0

3 years ago

A certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. How mu

Xelga [282]

If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.

Given:

Electricity watts = 170 watts

Minutes run = 20 minutes

Cost per KWh =$0.11

Hence,

170 watts = 1.7×10^-1

20 min = 1/3 h

Now let calculate the cost of running the refrigerator for one year

1.7×10^-1 × 1/3 × 24 ×360 × $0.11

= $53.856

Therefore If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.

Learn more about watts here: brainly.com/question/25781540

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7 0

1 year ago