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3 years ago

7n + 5 =68.... how to solve this problem and show my work

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

n = 9

Step-by-step explanation:

7n + 5 = 68

7n + 5 - 5 = 68 - 5

7n = 63

7n / 7 = 63 / 7

n = 9

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Which sequence of transformations produces R’S’T’ from RST?

inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0

3 years ago

Gary bought an MP3 player at a 20% discount sale for $40. What was the original price of the MP3 player?

marta [7]

40*.20=8.00
40 - 8=32
answer32
hope you understand.
explain:]
40*.20=8
and second time i do ( - ) becouse they said 20% discount discount main is ( - )
so i do ( - ) i think now you understand.

5 0

3 years ago

Solve the equation for x. 1 3 (6x − 9) = −33

KIM [24]

Answer:

x = 1.07

Step-by-step explanation:

13 ( 6x - 9) = -33

78x - 117 = -33 ( opening brackets and multiplying )

78x = 84 ( - 117 taken to the other side makes it positive)

x = 84 / 78

x = 1.07

7 0

3 years ago

Read 2 more answers

A videotape store has an average weekly gross of $1,158 with a standard deviation of $120. Let x be the store's gross during a r

statuscvo [17]

Answer:

The number of standard deviations from $1,158 to $1,360 is 1.68.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1158, \sigma = 120$