All categories

3 years ago

A train travels 100 kilometers in 3.0 hours, and then 50 kilometers in 20

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer: 0.03 and 0.4

Step-by-step explanation:

3.0 would turn into 3.

3 divided by 100 is 0.03.

20 divided by 50 is 0.4

So, I think that it would be either 0.03 or 0.4

You might be interested in

A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sof

lakkis [162]

Answer:
The answer is 408

Explanation:
20% of 510 is 102 and 510 - 102 is 408

8 0

3 years ago

What is 3/4 inches of 15 ft

Fofino [41]

So .. in 1foot, there are 12inches... thus, in 15feet, there are 15*12 inches

how many in 3/4 of an inch? well $\bf \begin{array}{ccllll}
feet&inches\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15&15\cdot 12\\
x&\frac{3}{4}
\end{array}\implies \cfrac{15}{x}=\cfrac{15\cdot 12}{\frac{3}{4}}\implies \cfrac{15}{x}=\cfrac{\frac{15\cdot 12}{1}}{\frac{3}{4}}
\\\\\\
\cfrac{15}{x}=\cfrac{15\cdot 12}{1}\cdot \cfrac{4}{3}\implies \cfrac{15}{x}=\cfrac{15\cdot 12\cdot 4}{3}$

solve for "x"

6 0

3 years ago

What is the median of the following numbers? 1, 2, 2, 8, 9, 14

sesenic [268]

Answer: 5

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

Notice that our data set is already written from least to greatest.

1, 2, 2, 8, 9, 14

Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.

Since 2 and 8 are the numbers that appear in the middle, we add them.

2 + 8 gives us 10.

Now we divide 10 by 2 to get 5.

So the median of this data set is 5.

8 0

3 years ago

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

What is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117

Sergio [31]

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

3 0

3 years ago