The number is 1
Step-by-step explanation:
Let x be the required number
Then according to given statement
Five times the difference of twice a number and seven is negative twenty-five.
Simplifying
Adding 35 on both sides
Dividing both sides by 10
Verification:
![5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25](https://tex.z-dn.net/?f=5%5B2%281%29-7%5D%20%3D%20-25%5C%5C5%282-7%29%20%3D%20-25%5C%5C5%28-5%29%20%3D%20-25%5C%5C-25%3D-25)
Hence,
1 is the number
Keywords: Linear equation
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Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ 
divide 0.35 on both sides
⇒ 
solve:
⇒ x = 80
Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
Answer:
A
Step-by-step explanation:
The solution to a system of equations is the point of intersection of the 2 lines.
The lines intersect at (6, 9 ) ← solution
<h3>
Answer:</h3>
- running speed: 8 mph
- walking speed: 2 mph
<h3>
Step-by-step explanation:</h3>
Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...
distance = speed × time
Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...
(w+6)·1.5 + w·3 = 18
4.5w + 9 = 18 . . . . . simplify
4.5w = 9 . . . . . . . . . subtract 9
w = 2 . . . . . . . . . . . .divide by 4.5
Lizette's walking speed is 2 mph; her running speed is 8 mph.
