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gavmur [86]
3 years ago
9

-6(7a-4)=-3(a-7)+3 ??

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0
<h3><u>The value of a is equal to 0.93.</u></h3>

-6(7a - 4) = 3(a - 7) + 3

Distributive property.

-42a + 24 = 3a - 21 + 3

Add 42a to both sides.

24 = 45a - 21 + 3

Combine like terms.

24 = 45a - 18

Add 18 to both sides.

42 = 45a

a = 0.93

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The expression m divided by 4 is teh distance each person runs in a relay race that is m miles. How far does each person run in
Dovator [93]

Answer:

Each person runs 3 miles in a relay race.

Step-by-step explanation:

Given:

Distance of Relay race m = 12 miles.

The expression m divided by 4 is the  distance each person runs in a relay race that is m miles.

Each person runs in relay race = \frac{m}{4}

Now given the total distance of the relay race is 12 miles.

i.e. value of m = 12 miles

Now substituting the value of m in above equation we get;

Each person runs in relay race = \frac{m}{4} = \frac{12}{4}=3 \ miles

Hence each person runs 3 miles in a relay race.

6 0
3 years ago
Can you tell me how to calculate R for below Matrix ?
scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}

Reduce the matrix in row echelon form as shown:

R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\

R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}

R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}

R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0
3 years ago
Tyesha needs 15.75 feet of wood for a project. She has lengths of wood that are 7.5 feet, 5.25 feet, and 6.75 feet long. Does Ty
velikii [3]

Yes, Tyesha has enough wood for her project.

Step-by-step explanation:

7.5 feet (7'6") + 5.25 feet (5'3") + 6.75 (6'9") = 19.5 feet (19 feet, 6 inches)

4 0
3 years ago
Read 2 more answers
Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake.
tensa zangetsu [6.8K]

Answer:

50

Step-by-step explanation:

The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.

8 0
3 years ago
What number completes the following equation?<br> 8 x (40 + 7) = (8 x __) + (8 x 7)
Anika [276]
Your breaking the problem down.

8 x (40 + 7)

You notice how in the second part of the equation, the (8 x 7) the 40 is not there?

Your answer will be 8 x (40 + 7) = (8 x 40) + (8 x 7)
4 0
3 years ago
Read 2 more answers
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