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Naya [18.7K]
3 years ago
14

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) Select one: a. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 b. No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 c. Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 d. Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Mathematics
1 answer:
Verdich [7]3 years ago
3 0

 the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

4c + 4a <= 100 [testing hours]

4 * 20 + 6 * 6 <= 120

80 + 36 <= 120

116 <= 120

true, they have enough building hours

4 * 20 + 4 * 6 <= 100

80 + 24 <= 100

104 <= 100

false, they won't have enough testing hours

the first option is the answer

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WITCHER [35]
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\cos b=\cos\left(\dfrac\pi2-a\right)=\sin a

and so \cos b=\dfrac23.
4 0
3 years ago
Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes &amp; point (15,25) become
dalvyx [7]

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

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8 0
3 years ago
12/3/5 you need to simplify
Sveta_85 [38]

Answer:

0.8

Step-by-step explanation:

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8 0
3 years ago
a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

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Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

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\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

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<em></em>

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<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

8 0
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alex41 [277]
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So, the answer is 3. Hope this helps!
3 0
3 years ago
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