Answer:
x = -53/8
Step-by-step explanation:
6(2x + 7) = 5x - 11 - x
12x + 42 = 5x -11 - x (Distributive property)
12x + 42 = 4x - 11 (Subtraction property)
8x + 42 = -11 (Subtraction Property)
8x = -53 (Subtraction Property)
<u><em>x = -53/8</em></u>
Hi!
We will solve this using proportions. Let x be the cost for 12 ounces of cheese. We will start like this:
15 ounces : 6 $ = 12 ounces : x $
x $ = (6 $ * 12 ounces)/15 ounces
x $ = 72 $/15
x = 4,8$
The cost of 12 ounces of cheese is 4,8$.
Hope this helps!
Answer:
B
Step-by-step explanation:
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Given :
As a plane takes off it ascends at a 20 degree angle of elevation.
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :
H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.
<u>Answer:</u>
1/5
<u>Step-by-step explanation:</u>
To find this you would need to multiply the probability of pulling a white marble to the probability of pulling out a green marble.
1)First you would need the probability of pulling out a white marble. There are 10 marbles in total and out of those 2 are white. So the probability of pulling out a white marble would be 2/10. If you simplify that you would get 1/5 for the probability of pulling out a white marble.
2)Next, you would find the probability of pulling out a green marble. Using the same process that we used to find the probability of pulling out a white marble, we would find the answer to be 3/10. All that we did here was <em>green marbles/total marbles</em>. By filling that in we got 3/10 for the probability of pulling out a green marble.
3)Now all that is left is doing <em>probability of pulling a white marble × probability of pulling out a green marble</em>. This would be 1/5 × 3/10. After solving the answer would be 3/15 which we would simplify down to 1/5 as our final answer.
