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Igoryamba
3 years ago
13

A test is worth 100 points. The test is made up of 40 items. Each item is worth either 2 points or 3 points. Which matrix equati

on and solution represent the situation?
Mathematics
2 answers:
solong [7]3 years ago
5 0

Answer:

c on edg.

Step-by-step explanation:

lidiya [134]3 years ago
4 0

Answer:

Total number of points in the test = 100

Total number of items in the test = 40

Let number of items of 2 points be x and number of items of 3 points be y.

Now, using the given information the situation can be represented by using the following equations :

⇒ x + y = 40 .........(1)

⇒ 2x + 3y = 100 .........(2)

The matrix equation is :

\begin{bmatrix}1 & 1\\ 2& 3\end{bmatrix}\cdot \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}40\\ 100\end{bmatrix}

By solving the equation (1) and equation (2), we get :

Solution : x = 20 and y = 20

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7/9 which is the opposite of 2/9

Step-by-step explanation:

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3 years ago
Elena surveyed her classmates to see how many like to make jewelry. When she asked 20 of her classmates, 50 percent said they li
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10 students of Elena's classmates like to make jewellery.

<u>Step-by-step explanation:</u>

Let total no.of classmates who liked the jewellery = x

Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,

                    x = 50 \% \text { of } 20

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Hence, the total number of classmates who liked to make Jewellery = 10

5 0
3 years ago
find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m
serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

A=\pi r^2+\pi rL

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}

For the smaller cone, r = 1.5 and L = 2.5

\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\  \\ =25\% \end{gathered}

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