All categories

2 years ago

How to solve the sum of two numbers is 13. twice the larger increased by three times the smaller is 31. find the numbers?

Mathematics

1 answer:

worty [1.4K]2 years ago

8 0

13 divided by 2 is 6.5 and 31 divide by 2 is 15.5 I hope this helped

You might be interested in

What is 30 divide by 4?

Sedaia [141]

Answer:

30 ÷ 4 = <em>7.5</em>

Step-by-step explanation:

This means that:

7.5 fits into 30 4 times

Example:

7.5 + 7.5 + 7.5 + 7.5

\______\______/_______/

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

7 0

3 years ago

Mr.Silva needs to order pizza for 30 students.Each student should get 1/4 of a pizza.How many pizzas should Mr Silva order?How m

zimovet [89]

The answer is he needs 7.5 pizzas but you can’t do that so you round up to 8 pizzas

3 0

2 years ago

Read 2 more answers

What is the volume of this rectangular prism 5/2 cm 4 cm 1/2

Naily [24]

Answer:

$5cm ^{3}$

Step-by-step explanation:

$v = whl \\ = \frac{5}{2} \times \frac{4}{1} \times \frac{1}{2} \\ = \frac{20}{4} \\ = 5 {cm}^{3}$

7 0

3 years ago

Help plz I’ll mark Brainly

MrMuchimi

Answer:x=2; second option

Step-by-step explanation:

120+10x=140

10x=20

X=2

8 0

3 years ago

Read 2 more answers

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