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Lady bird [3.3K]
3 years ago
7

Please help me!!!! I will try to give brainliest!!!

Mathematics
2 answers:
katrin2010 [14]3 years ago
4 0

Answer:

refer to this attachment

thank you

Ratling [72]3 years ago
4 0

Answers:

Starting inequality: 10(x+0.75) \le 50

Ending inequality:  x \le 4.25

==================================================

Work Shown:

x = amount spent per bag, ignoring the bag fee

x+0.75 = amount per bag including bag fee

10(x+0.75) = total amount spent on the ten bags

This amount cannot be more than $50. This means 50 dollars is the highest we can go, aka the ceiling value.

That means we'd write 10(x+0.75) \le 50 as one possible starting inequality.

Let's solve for x

10(x+0.75) \le 50\\\\10x+7.5 \le 50\\\\10x \le 50-7.5\\\\10x \le 42.5\\\\x \le 42.5/10\\\\x \le 4.25

The most he can spend on the items for any single bag is $4.25, which is ignoring the $0.75 fee

If we tack that fee on, then he spends 4.25+0.75 = 5 dollars per bag and ten of such bags leads to 5*10 = 50 dollars total. The answer is confirmed.

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Answer:

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(b) Number of  committees formed if 2 of the women refuse to serve together = 310

Step-by-step explanation:

As per the question,

Number of women = 7

Number of men = 5

The different committees are possible if

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Number of  committees formed

= ^{7}C_{4} \times ^{5}C_{3}

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(b) 2 of the women refuse to serve together

From the 350, we must subtract the number of ways those two women serve together.

If the men and women both serve together, then 1 woman serve with 4 men.

The men are chosen

=^{5}C_{3} = 10\ ways,

So

The number we must subtract from the 350 is  4 × 10 = 40

∴ Number of  committees formed  = 350 - 40 = 310.

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3 years ago
How to write a real world situation that could be modeled by the equation 100-6x=160-10x
blondinia [14]
<span>100-6x=160-10x
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A pet store sold 49 siamese cats. If the ratio of siamese cats to house cats sold was 7:4, what is the combined amount of cats s
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This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.
jolli1 [7]

Answer:

a) y(t) =  \sqrt{2t + 1 }

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

\frac{dy}{dt}  =  \frac{1}{y}   \\   \\ ydy = dt  \\ \\ integrating \: both \: sides \\   \\  \int y \: dy =  \int 1 \: dt \\  \\  \frac{ {y}^{2} }{2}  = t + c \\  \\  {y}^{2}  = 2t + 2c \\  \\ y (t)=  \sqrt{2t + 2c} ...(1) \\  \\ a)  \:  \: \: plug \: t = 0 \: in \: (1) \\  \\  y (0)=  \sqrt{2(0) +2 c} \\  \\ y (0)=  \sqrt{0 +2 c} \\  \\ 1 =  \sqrt{2c}  \:  \: ( \because \: y (0)=1) \\  \\  2c = 1   \:  \implies \: c =  \frac{1}{2} \\  \\ plug \: c = \frac{1}{2} \: in \: (1) \\  \\ y(t) =  \sqrt{2t + 2 \times  \frac{1}{2} } \\  \\  \huge \:  \red {y(t) =  \sqrt{2t + 1 } } \\  \\b) \:  \:  plug \: y(t) = 2 \: in \: above \: equation \\  \\ 2 =  \sqrt{2t + 1}  \\  \\ 4 = 2t + 1 \: \\  (squaring \: both \: sides) \\  \\ 4 - 1 = 2t \\  \\ 2t = 3 \\  \\ t =  \frac{3}{2}  \\  \\ t = 1.5 \: hours \\

6 0
2 years ago
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