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3 years ago

, find a1 and d. 34, 40, 46, 52, 58, 64

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

a1 = 34, d = 6.

Step-by-step explanation:

a1 = the first term = 34.

To find d subtract: 2nd term - first term , third term - second term and so on.

d = 40 - 34 = 6.

Also 46-40 = 6

WE get the same value 6 for the other given terms.

6 is added to each term to get the next term

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3 years ago

Two classes have a total of 60 students. The students need to make teams of 8t

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Answer:

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3 years ago

Points X and Z are on a number line, and point Y partitions

abruzzese [7]

Answer:

The coordinate of $Z$ is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

$\frac{XY}{XZ} = \frac{5}{12}$ (1)

$\frac{YZ}{XZ} = \frac{7}{12}$ (2)

$X = 0.4$ (3)

$Y = 5.8$ (4)

From (2), we have the following expression:

$YZ = \frac{7}{12}\cdot XZ$

$Y-Z =\frac{7}{12}\cdot (X-Z)$

$Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z$

$Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z$

$\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X$

$5\cdot Z = 12\cdot Y-7\cdot X$

$Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X$ (5)

If we know that $Y = 5.8$ and $X = 0.4$ , then the coordinate of $Z$ is:

$Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)$

$Z = 13.36$

The coordinate of $Z$ is 13.36.

6 0

3 years ago