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3 years ago

Which Roman numeral is equivalent to the number below?

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

I = 1

II = 1 + 1 = 2

V = 5

VI = 5 + 1 = 6

IV = 5 - 1 = 4

X = 10

A. XVIII = 10 + 5 + 1 + 1 + 1 = 18

B. VII = 5 + 1 + 1 = 7

C. XXVII = 10 + 10 + 5 + 1 + 1 = 27

D. XVII = 10 + 5 + 1 + 1 = 17

Answer: D. XVII

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The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must

Natalka [10]

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

7 0

3 years ago

Find the surface area of the solid. Round to two decimal places

Ne4ueva [31]

Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b$

so then the surface area of the triangular prism is,

$\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672}) \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978$

5 0

3 years ago

A truck can at most be filled with 20 ton. If there are currently 14 ton goods there already, write an inequality representing t

Rom4ik [11]

Answer:

$x + 14 \leq 20$ , x = 6 ton

Step-by-step explanation:

The truck can be filled with a total of 20 ton.

There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

$x+14\leq 20$

Solving it, we find

$x\leq 6$

which means that the most amount of goods that could be added to the truck is 6 tons.

4 0

3 years ago

In the football game between NM and JL. It's the end of the second half and the cougars are attempting a miraculous 50 yard fiel

Yanka [14]

Answer:

88.02 ft/s

Step-by-step explanation:

Angle with the horizontal, θ =25°

Initial velocity, v = 60 mph

1 mph = 1.467 ft/s

60 mph = 60 × 1.467 ft/s = 88.02 ft/s

Vertical component, v sin θ = 88.02 sin 25° = 37.2 ft/s

Horizontal component, v cos θ = 88.02 cos 25°= 79.8 ft/s

3 0

3 years ago

Which step brings you closest to getting the variable alone on one side of the equation

Oliga [24]

Answer:

Adding 5 from both sides then dividing by 7

Step-by-step explanation:

The best way to isolate x is to add 5 to both sides first:

21 = 7x

Then to isolate x by itself divide both sides by 7

x = 3

That would be the value of x and your final answer.

5 0

3 years ago

Read 2 more answers