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2 years ago

A painting is 2 in tall and 3 in wide. If it is enlarged to a width of 15 in then how tall will it be?

Mathematics

2 answers:

vekshin12 years ago

7 0

Answer:

10 in

Step-by-step explanation:

Old proportions:

2 x 3

New proportions

h x 15

Assuming the painting has been increased by a constant scale factor.

Where x is the unknown scale factor, and h is the height after it has been enlarged.

$3 * x = 15\\2 * x = h$

Rearrange second equation:

$3 * x = 15\\x =\frac{h}{2}$

Substitute:

$3*\frac{h}{2} =15\\\frac{h}{2}=5\\h=10$

Papessa [141]2 years ago

7 0

Answer:

hey!

your answer is

10 inches

Step-by-step explanation:

the answer is this because,

15 inches is 3 inches times by 5

so we would have to times 2 inches by 5 to get 10 inches

so the dimensions would be 10 inches in length and 15 inches in width

hope this helps

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Janet has three coins.

tatyana61 [14]

Answer:

Janet has coins worth 252.5, 101, and 50.5.

Step-by-step explanation:

Let us call the three coins $a,b$ , and $c$ .

The first coin $a$ is 5 times another coin (let's say $b$ ); therefore,

$a = 5b$ ,

and the third coin is 2 times the value of another coin (it's coin $b$ ):

$c =2b$ .

The total worth of all coins is 404; therefore,

$a+b+c =404$

$5b+b+2b =404$

$8b =404$

$\boxed{b = 50.5}$

with the value of $b$ in hand, we find $a$ and $c$ :

$a = 5b = 5(50.5)$

$\boxed{a = 252.5}$

and for $c:$

$c = 2 b = 2 (50.5)$

$\boxed{c = 101}$

Thus, Janet has 3 coins worth 252.5, 101, and 50.5.

8 0

2 years ago

What is the determinant of the coefficient matrix of the system

Ad libitum [116K]

$\left[\begin{array}{ccc}-3&0&-2\\9&0&5\\6&0&-12\end{array}\right] \\D(system)= |-3|\left[\begin{array}{ccc}0&5\\0&-12\\\end{array}\right]-0 \left[\begin{array}{ccc}9&5\\6&-12\\\end{array}\right] +|-2| \left[\begin{array}{ccc}9&0\\6&0\\\end{array}\right] \\=3*0-0+0=0\\
determinant of system is 0$