Answer:
- one orange costs $0.35 and one grapefruit costs $0.45
Step-by-step explanation:
<em>let grapefruits be g , let oranges be o</em>
so first equation:
→2g + 3o = $1.95
→g = ($1.95 - 3o)/2
so second equation:
→ 3g + 2o = $2.05
→ g = ($2.05 - 2o)/3
Solving simultaneously:
→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2
→ 2($2.05 - 2o) = 3($1.95 - 3o)
→ 4.1 - 4o = 5.85 - 9o
→ - 4o + 9o = 5.85 - 4.1
→ 5o = 1.75
→ o = $0.35
Therefore one orange costs $0.35
Then one grapefruit costs g → ($1.95 - 3o)/2
→ g = ($1.95 - 3(0.35))/2
→ g = 0.45
Therefore one grapefruit costs $0.45
Answer:
Step-by-step explanation:
x + 2y = 8 -----------(I)
x - 2y = -4 -----------(II)
Add equation (I) & (II) and thus y will be eliminated and we can get the value of 'x'
(I) x + 2y = 8
(II) <u>x - 2y = -4</u><u> </u>{Now add}
2x = 4
x = 4/2
x = 2
Substitute x = 2 in equation (I)
2 + 2y = 8
2y = 8 - 2
2y = 6
y = 6/2
y = 3
Answer:
I am pretty sure it's A and I am very sorry if I'm wrong
Step-by-step explanation:
The way I would think about this question is this: because Jordan only wants to work a maximum of 40 hours, he can work 40 hours or less. Which is described as an equation in the top equation of letter A. And because he also wants to make $250 or more, the bottom equation in A would work as well.
I hope that makes sense! Please ask me in the comments if you want more explanation on it
<h3>
Answer: Approximately 56 inches</h3>
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Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
Answer:
Step-by-step explanation:
for inverse of f(x)=2x+2
x=2y+2
x-2=2y
(x-2)/2=y
therefore the inverse f(x)=(x-2)/2
