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3 years ago

The larger of two numbers is 1 less than 3 times the smaller. If 3 times the larger is 5 more

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Answer:

Smaller = x

Larger = 3x -1

Remember "is" is the keyword for equals in a word problem.

3(3x -1) = 5 + 8x

9x - 3 = 5 + 8x

x = 8 smaller

larger = 23

Step-by-step explanation:

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What would X is less than or equal to negative 7 look like as a graph

Anastaziya [24]

Answer:

Place a dot on 7 and do < underlined

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3 years ago

Find the slope of the graphed line.

spin [16.1K]

Answer:

-6/3

Step-by-step explanation:

Move down 6 from the top point.

Then move right 3 to the bottom point.

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3 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 73 mph. from past information, it is kn

tatiyna

121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range

$(73 - 2 \cdot 11, 73 + 2 \cdot 11) = (51,95)$

The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.

The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:

$\sigma = \dfrac{ 11}{\sqrt{121}} = 1$

So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range

$(73 - 2 \cdot 1, 73 + 2 \cdot 1) = (71,75)$

That's probably the answer they're looking for.

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3 years ago

A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3

Cloud [144]

Answer:

x=7, so the smaller number is 7 and the larger number is 21.

Step-by-step explanation:

x=3x+5=33

Let x=3:

(3)+3(3)+5=3+9+5=17, not 33, so x is not 3

Let x=5:

(5)+3(5)+5=5+15+5=25, not 33, so x is not 5

Let x=7:

(7)+3(7)+5=7+21+5=33, so x=7

Let x=9:

(9)+3(9)+5=9+27+5=41, not 33, so x is not 9

Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.

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3 years ago

Read 2 more answers

3x - 3y = -3<br>2x - y = -5

Korolek [52]

For this case we must solve the following system of equations:

$3x-3y = -3\\2x-y = -5$