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const2013 [10]
3 years ago
9

For a camping trip, three scoutmasters are each driving a portion of the 150 miles to campground mr. Jimenez drives 3/10 of the

distance mr robertson drives 2/5 of the distance how many miles are left for mr. Weatherly you drive
Mathematics
1 answer:
babymother [125]3 years ago
4 0

Answer:

45 miles

Step-by-step explanation:

Jimenez drives 3/10 of the distance:  (3/10)(150 miles) = 45 miles.

Mr. Robertson drives 2/5 of the distance:  (2/5)(150) = 60 miles.

These two people drive 105 miles total.

Mr. Weatherly drives the rest:  (150 miles - 105 miles) = 45 miles.

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Is a number negative



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3 years ago
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Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

7 0
3 years ago
A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo
8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that  will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0
3 years ago
Suppose each of 12 players rolls a pair of dice 3 times. Find the probability that at least 4 of the players will roll doubles a
polet [3.4K]

Answer:

Our answer is 0.8172

Step-by-step explanation:

P(doubles on a single roll of pair of dice) =(6/36) =1/6

therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)

=1-(1-1/6)3 =91/216

for 12 players this follows binomial distribution with parameter n=12 and p=91/216

probability that at least 4 of the players will get “doubles” at least once =P(X>=4)

=1-(P(X<=3)

=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)

=1-0.1828

=0.8172

7 0
3 years ago
Find the minimum or maximum value of the function. What is the H? (Desmos)
beks73 [17]

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3(x^{2}-4x)+16

=3(x^{2}-4x+4-4)+16   (- For the balance of equation, and attention 1)

=3(x-2)^{2}-3*4+16

=3(x-2)^{2}+4

<h3>Attention:</h3>

1. (a-b)^{2}=a^{2}  -2ab+b^{2}

2. The formula for the vertex form is y = a(x-h)^{2}+k, the vertex is (h,k)

4 0
2 years ago
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