You can solve this with proportion
1) For 2h
9/2 mile : 3/4h = x mile : 2h => (3/4)x=(9/2)*2 => (3/4)x=9 => x=9*(4/3)= 12miles
For 3h => (3/4)x=(9/2)*3 When we divide equation with 3 we get
x/4=9/2 => x=(9/2)*4=18 miles
2) 2 combine : 320 acres = 7 combines : x acres +: 2x= 320*7 =>
x= (320*7)/2 = 160 * 7 = 1120 acres
Good luck!!!
You started with $15. 15-15 = 0 and then you earned $30, but spent $12... 30-12= 18
Answer:
A = yd²
Step-by-step explanation:
the area ( A) of a rectangle is calculated as
A = length × width
= ×
=
= yd²
Answer:
Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,
AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:
Consider right triangle CAH.By the Pythagorean theorem,
The length cannot be negative, so CD=8 cm and
In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,
By the Pythagorean theorem,
9514 1404 393
Answer:
+70 or -70, depending on how you rewrite the equation
Step-by-step explanation:
A quadratic equation in standard form can be written as ...
ax² +bx +c = 0
When this equation is written in standard form, it could be either of ...
17x² +30x +40 = 0 . . . . . . . . . . add 17x²+30x to both sides
or
-17x^2 -30x -40 = 0 . . . . . . . . . subtract 40 from both sides
__
In the first case, a = 17, b = 30, c = 40 and (b+c) = 70.
In the second case, a = -17, b = -17, c = -40 and (b+c) = -70.
_____
<em>Additional comment</em>
I personally prefer a positive leading coefficient, but it is less work to subtract 40 from both sides than to subtract 2 terms from both sides. Check your curriculum materials for the preferred rewrite in this case.