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3 years ago

Can someone please help me I’m stuck! 25 points

Mathematics

1 answer:

Sidana [21]3 years ago

4 0

If you draw 2 yellow cards that would lead you to 0.16 but we are rounding it to the nearest hundredths so that would be 0.16 because you cant round up or down in the hundredths place.
hope that helps<span />

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Simplify the following expression:<br> 4x - 3y + 2z - 3x - y + 3z = ?

nordsb [41]

Add all the like terms together so 4x-3x is x or 1x -3y-y is -4y 2z+3z is 5z so put them all together it's x-4y+5z

7 0

3 years ago

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr

Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

$3x + 2y + 4z = 106$

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

$2x + 4y + 3z = 107$

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

$4x + 3y + 2z = 102$

From the first equation:

$4z = 106 - 3x - 2y$

$2z = 53 - 1.5x - y$

$z = 26.5 - 0.75x - 0.5y$

Replacing into the third equation:

$4x + 3y + 53 - 1.5x - y = 102$

$2.5x + 2y = 49$

From the second equation:

$2x + 4y + 3z = 107$

$2x = 107 - 4y - 3z$

$x = 53.5 - 2y - 1.5z$

$x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)$

$x - 1.125x = 53.5 - 2y - 39.75 + 0.75y$

$-0.125x = 13.75 - 1.25y$

$0.125x = 1.25y - 13.75$

$x = \frac{1.25y - 13.75}{0.125}$

$x = 10y - 110$

Find the rental rate for the Fords.

We have to find y, so:

$2.5x + 2y = 49$

$2.5(10y - 110) + 2y = 49$

$25y - 275 + 2y = 49$

$27y = 324$

$y = \frac{324}{27}$

$y = 12$

The rental rate for the Fords is of $12 per day.

3 0

3 years ago

In ∆RST, which side is included between ∠R and ∠S?

Lera25 [3.4K]

Hi there!

Since triangle RST is stated with the sides in order (R is connected to S, which is connected to T, which is then connected to R), the side between R and S is T.

Hope this helps!

3 0

3 years ago

Read 2 more answers

What is the third derivative of tan x?

azamat

The First is sec^2(x). Second is 2sec^2tanx. From that you get 2[2sec^2xtan^x+sec^4x]

4 0

3 years ago

A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground

ICE Princess25 [194]

The ground, the building and the line of sight between the ground camera and the top of the building form right triangle with hypotenuse equal to 45 feet and angle adjacent to this hypotenuse and ground - 50°. The building is an opposite leg to the given angle, then you should write sine function:

$\sin 50^{\circ}=\dfrac{height}{45} \\ \\ 0.766=\dfrac{height}{45}\\ \\ height=45\cdot 0.766=34.47$ .

The answer to the nearest tenth of a foot is 34.5 feet

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3 years ago