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3 years ago

Solve for zzz. 42=-7(z-3)

Mathematics

2 answers:

Gekata [30.6K]3 years ago

6 0

Step-by-step explanation:

42=-7z+21

7z=21-42

7z=-21

z=21/7

z=3

katen-ka-za [31]3 years ago

4 0

Answer:

z=-3

Step-by-step explanation:

42 = -7z+21

-7z=21

z=-3

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4 years ago

Devang has a collection of dimes and nickels that total $1.10. He has a total of 15 coins. Which matrix can be used to represent

OLEGan [10]

AX = b or $\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]$

<h3>The above matrix can be used to determine the number of dimes x and nickels y.</h3>

Step-by-step explanation:

Here, total number of coins = 15

Let us assume the number of dimes = x

Also, let us assume the number of nickels = y

So, x + y = 15 .... (1)

Again, 1 dime = $0.1

So, x dimes = x ($0.1) = $ (0.1 x)

1 nickel = $0.05

So, y nickels = y ($0.05) = $ (0.05 y)

Also, total value of coins = $1.10

⇒ 0.1 x + 0.05 y = 1.10 .... (2)

So, from (1) and (2) the matrix can be written as:

AX = b or $\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]$

The above matrix can be used to determine the number of dimes x and nickels y.

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Which of the following is a true statement

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Answer:

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