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Gelneren [198K]
3 years ago
5

liam makes soap sculptures of sea turtles each sculpture weighs 3\8 pounds he ships then in a wooden box that weighs 2 pounds th

e total weigh of the boy filled with the t sea turtles is 5 pounds. how many sea turtles are in the box
Mathematics
1 answer:
Tresset [83]3 years ago
6 0

We have been given that Liam makes soap sculptures of sea turtles each sculpture weighs 3/8 pounds. He ships them in a wooden box that weighs 2 pounds. The total weight of the box filled with the sea turtles is 5 pounds.

We are asked to find the number of sea turtles in the box.

First of all, we will subtract the weight of the box from total weight to find the weight of all sea turtles.

\text{Weight of sea turtles}=\text{Total weight}-\text{Weight of box}

\text{Weight of sea turtles}=\text{5 pounds}-\text{2 pounds}

\text{Weight of sea turtles}=3\text{ pounds}

Now we will divide total weight of all turtles by weight of one turtle to find number of turtles.

\text{Number of turtles}=\frac{\text{Weight of all sea turtles}}{\text{Weight of one turtle}}

\text{Number of turtles}=\frac{3}{\frac{3}{8}}

\text{Number of turtles}=\frac{3\cdot 8}{3}

\text{Number of turtles}=8

Therefore, there are 8 sea turtles in the box.

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Mario's car cost $15,999. Each year the car's value decreases by $1,550. This relationship is described by the equation V = 15,9
dedylja [7]

The value of Mario's car after 5 years is $8,249.

<h3>What is the value of the car after 5 years?</h3>

Deprecation is when the value of an asset declines with the passage of time as a result of wear and tear.

V = 15,999 − 1,550t

V = 15,999 − 1,550(5)

V = 15,999 - 7,750

V =$8,249

To learn more about depreciation, please check: brainly.com/question/25552427

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5 0
2 years ago
A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run
asambeis [7]

Answer:

The expected cost of the company for a 3000 tires batch is $120255

Step-by-step explanation:

Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires  is 3000p.

Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are A_1,\dots, A_n events that partition the whole sample space, and we have a random variable X over the sample space, then

E(X) = p(A_1)E(X|A_1) + \dots + p(A_n)E(X|A_n).

So, in this case, we have the following

E(X) = P(p=0\%)E(X|p=0\%)+P(p=1\%)E(X|p=1\%)+P(p=2\%)E(X|p=2\%)+P(p=3\%)E(X|p=3\%) = 0.1\cdot 3000\cdot 0 + 0.3\cdot 3000\cdot 0.01+ 0.4\cdot 3000\cdot 0.02+ 0.2\cdot 3000\cdot 0.03 = 51.

Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.

Finally, note that the cost of the batch would be 40Y+45X. Then

E(40Y+45X) = 40E(Y)+45E(X) = 40\cdot 2949+45\cdot 51=120255

3 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
IgorC [24]

Answer:

<h2>y + 3 = -6(x + 9) - point-slope form</h2><h2>y = -6x - 57 - slope-intercept form</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

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

We have the slope <em>m = -6</em> and the point (-9, -3).

Substitute:

y-(-3)=-6(x-(-9))\\\\y+3=-6(x+9)

Convert to the slope-intercept form (<em>y = mx + b</em>):

y+3=-6(x+9)           <em>use the distributive property</em>

y+3=-6x-54         <em>subtract 3 from both sides</em>

y=-6x-57

6 0
4 years ago
Thank you for help ✨
mr_godi [17]

Answer:

7 m

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio.

\dfrac{QR}{SR}=\dfrac{QP}{ST}\\\\\dfrac{y}{8}=\dfrac{3}{6}\\\\y=\dfrac{3}{6}*8\\\\y=4\\\\\\

\dfrac{x}{1.5}=\dfrac{6}{3}\\\\x =\dfrac{6}{3}*1.5\\\\x=3

x + y = 3 + 4 = 7

4 0
3 years ago
Read 2 more answers
A jar contains nickels and dimes. There are 20 coins in the jar, and the total value of
weeeeeb [17]

Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

"there are 20 coins"

n+d = 20

d = 20-n

"total value is $1.40"

0.05n + 0.10d = 1.40

0.05n + 0.10(20-n) = 1.40

-0.05n + 2 = 1.40

0.05n = 0.6

n = 12

d = 20-m = 8

3 0
3 years ago
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