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lora16 [44]
3 years ago
8

the length of a rectangular picture frame is 3 centimeters less than twice the width. the perimeter is 78 centimeters. find the

length and width of the picture frame
Mathematics
1 answer:
Natalka [10]3 years ago
5 0
Let the width be x
width = x
length = 2x - 3

Perimeter = x + 2x - 3 + x + 2x - 3 = 6x - 6 

6x - 6 = 78
6x = 78 + 6
6x = 84
x = 14 cm

2x - 3 = 2(14) - 3 = 25cm

The width is 14cm and the length is 25cm 
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3 years ago
Angle A and B are supplementary. Angle A has a measure of 5x+10. Angle B has a measure of 70. What is the value of x?
umka21 [38]

Answer:

34

Step-by-step explanation:

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2 years ago
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, wha
KonstantinChe [14]

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

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5 0
3 years ago
Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years,
In-s [12.5K]
What you must do in this case is to use the potential type function given in the problem:
 a (b) ^ x = c
 We have:
 new car for $ 17,930
 a = 17930
 The value of the car depreciated by 19% per year
 b = 1-0.19 = 0.81
 the car is worth no more than $ 1,900
 c = 1900
 the exponential inequality is:
 a (b) ^ x ≤ c
 17930 (0.81) ^ x ≤ 1900
 Answer:
 the exponential inequality is:
 17930 (0.81) ^ x ≤ 1900
 where
 x: number of years
5 0
3 years ago
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