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Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.

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Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile

natka813 [3]

<u>Answer:</u>

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is $\left(\frac{20}{6}\right)$ miles/hours = 3.33 miles/hours.

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in $\left(\frac{1}{3.3}\right)$ hours

Hence the total time he will take to walk 25 miles is $\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }$ $\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours$

That is approximately 7.57 or 7.6 hours.

8 0

3 years ago

11. Four less than a number tripled is the same number increased by ten.<br> What is the number?

Sphinxa [80]

Answer:

Step-by-step explanation:

first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".

set 3x-4 and x+10 equal to each other:

3x-4=x+10

next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:

2x-4=10

then, we would get the 2x by itself. we would do this by adding 4 to both sides:

2x=14

finally, we would divide each side of the equation by 2 to find x:

x=7.

The number is 7.

8 0

3 years ago

Solve for x: 27 ^ (x + 1) = 9 ^ x

tekilochka [14]

X = - 3 hope it help

4 0