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o-na [289]
3 years ago
15

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that

can be loaded into the container is 23000 kilograms. Other shipments weighing 13700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

150c + 13,700 < 23,000

Step-by-step explanation:

Greatest weight that can be loaded into the container = 23,000 kilograms

Weight of each crate = 150 kilogram

Weight of other shipment = 13,700 kilograms

c = total number of 150-kilogram crates that can be loaded

This can be represented by the inequality:

150c + 13,700 < 23,000

That is, Weight of each crate multiplied by total number of 150-kilogram crates that can be loaded Plus Weight of other shipment less than greatest weight that can be loaded into the container

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Find the AM and GM for the numbers 18 and 2
Neporo4naja [7]

Answer:

Step-by-step explanation:

Solution:

AM =( X_1 + X_2 )/2

=( 18 + 2 )/2

=20/2

=10

Find Geometric mean for data 18,2

Solution:

GM =sqrt( X_1 × X_2 )

=sqrt( 18 × 2 )

=sqrt(36)

=6

6 0
4 years ago
Find the length of the line segment shown. Round your answer to the nearest tenth.
Marina86 [1]

Answer:

d=10

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step 1: Define endpoint coordinates

(2, 5)

(-6, -1)

Step 2: Substitute and Evaluate

d=\sqrt{(-6-2)^2+(-1-5)^2}

d=\sqrt{(-8)^2+(-6)^2}

d=\sqrt{64+36}

d=\sqrt{100}

d=10

8 0
3 years ago
Tiffany buys a basket of watermelons on sale for \$9$9dollar sign, 9 before tax. The sales tax is 9\%9%9, percent. What is the t
vladimir2022 [97]
Given that the basket of watermelons sells for $9 before tax and the tax rate is 9%.

The tax on the basket of watermelons is given by

\frac{9\%}{100\%} \times\$9=0.09\times\$9 \\  \\ =\$0.81

Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81
8 0
4 years ago
Read 3 more answers
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
4 years ago
NEED HELP!!!!!!!!!!!
alexandr1967 [171]

Answer: last option/D

Step-by-step explanation:

It says to do h(t) divided by g(t) so

1- you see that h(t) is 4t +2

2- you see that g(t) is 2t-1

3- you put h(t) on top of g(t)

So, it is 4t+2/2t-1

7 0
3 years ago
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