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3 years ago

Find the slope of the line whose equation is 17 + 3y = 7x.-7/317/3

Mathematics

1 answer:

Anastaziya [24]3 years ago

4 0

Slope is 7/3

Step-by-step explanation:

Step 1: The equation of the line is 17 + 3y = 7x. Find the slope.

Slope intercept form is y = mx + b, where m is the slope.

⇒ 17 + 3y = 7x

⇒ 3y = 7x - 17

⇒ y = 7/3 x - 17/3

m = 7/3

⇒ Slope is 7/3

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Solve. 213−12x=−23 Enter your answer in the box.

julia-pushkina [17]

$213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67$

4 0

3 years ago

On a map 0.75 inch represents 80 miles. Two cities that are 1025 miles apart will be how far apart on a map round to nearest ten

icang [17]

The cities are 9.6 inches apart on map.

Step-by-step explanation:

Given,

80 miles in actual = 0.75 inch

1 mile = $\frac{0.75}{80}\ inch$

Distance between two cities = 1025 miles

1025 miles on map = $1025*\frac{0.75}{80}\\$

$1025\ miles\ on\ map=\frac{768.75}{80}\\\\1025\ miles\ on\ map=9.6\ inches$

The cities are 9.6 inches apart on map.

Keywords: distance, multiplication

Learn more about distance at:

#LearnwithBrainly

4 0

3 years ago

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

For which equation is g=5 not the solution?

inn [45]

Answer:

Step-by-step explanation:

Yes... G=5 okay....

where is equation list??

8 0

2 years ago

How do you find the square root of 2809

Hunter-Best [27]

If this is greater than the first part of the number called by the spectator (i.e., ignoring the last two digits), then the last digit of your answer is the lower of the two possible values. Otherwise the last digit is the higher value. For example if the number called is 2809, the square root could be either 53 or 57.

4 0

3 years ago

Read 2 more answers