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3 years ago

Last month Maria hiked the 5 mile mountain

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

Then hiked it 3 more times how many miles did she hike?

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vlabodo [156]

Answer: 108

Step-by-step explanation:

7 0

2 years ago

Can someone help me out with this please and thank you

anastassius [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more

Vlad1618 [11]

Answer:

Step-by-step explanation:

Let the initial number be $xy=10x+y$ .

Initial number:

Units digit = y

Tens digit = x

The units digit of a 2-digit number is 1 more than twice the tens digit, then

$y=2x+1$

Reversed number is $yx=10y+x.$

If the new number is 36 more than the original number, then

$(10y+x)-(10x+y)=36$

Simplify this equation:

$10y+x-10x-y=36\\ \\9y-9x=36\\ \\y-x=4$

Substitute $y=2x+1$ into the equation $y-x=4:$

$(2x+1)-x=4\\ \\2x+1-x=4\\ \\x+1=4\\ \\x=3\\ \\y=2\cdot 3+1=7$

Initial number: 37

6 0

3 years ago

Is X=[−14−32] the inverse of A=[15−25310−110]?

Elis [28]

The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.

The matrices are given as:

$X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]$

$A = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right]$

To check the matrices are inverse, we calculate their products.

$A \times X = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]$

Multiply the rows of A by the column of X.

This gives

$A \times X = \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]$

$A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The product of A and X is an identity matrix.

This means that; both matrix are inverse of each other