Answer:85
Step-by-step explanation:
Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order
Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
Model of Statue of Liberty is 30.6 feet tall.
<u>Step-by-step explanation:</u>
Given the Statue of Liberty is 306 feet tall. If the model is 1/10 the actual size of the Statue of Liberty.
Actual size of the statue = 306
Model is
of the actual size of the Statue of Liberty
Height of model =
of the actual size
=
* 306
= 30.6 feet
Model of Statue of Liberty is 30.6 feet tall.
Answer:

Step-by-step explanation:
we have
---> First equation
--->Second equation
we know that
To subtract the 2nd equation from the first, negate all three of the second equation terms: -7x-8y=6
and then adds this result with the first equation
so

Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:

6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.