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3 years ago

2(x + 2) + 3x = 2(x + 1) + 1

Mathematics

1 answer:

monitta3 years ago

4 0

Answer:

X= -1/3

Step-by-step explanation:

In the picture it shows the work that i did

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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r

kenny6666 [7]

Answer:

14 miles

Explanation:

The relation that will be used to solve this problem is:

$Distance = Velocity*Time$

which can be rewritten as:

$Time = \frac{Distance}{Velocity}$

Assume that:

Distance from your house to your friend's house is d

Time taken from your house to your friend's house is t₁

Time taken from your friends house to your house is t₂

1- From your house to your friend's house:

Average rate = 35 miles/hour

Therefore:

$t_{1} = \frac{d}{35}$

2- From your friend's house to your house:

Average rate = 40 miles per hour

Therefore:

$t_{2} = \frac{d}{40}$

3- Round trip:

We know that the round trip took 45 minutes which is equivalent to 0.75 hours

This means that:

t₁ + t₂ = 0.75 hours

$\frac{d}{35}+\frac{d}{40}=0.75\\ \\\frac{40d + 35d}{1400}=0.75\\ \\\frac{75d}{1400}=0.75\\ \\ 1050 = 75d\\ d=14 miles$

Hope this helps :)

3 0

4 years ago

Through (2, -1), perp. to y = -2x-3

kramer

9514 1404 393

Answer:

y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

b = y -mx . . . . . for line of slope m through point (x, y)

b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

y = 1/2x -2

6 0

3 years ago

Solve y = x + 8 for x. x= y + 8 x=y - 8 x= -y + 8 x = -y - 8

Anna007 [38]

X = y - 8

Step by step
Y = x + 8
x + 8 = y
-8 -8
x = y - 8

3 0

3 years ago

-6(w - 4) + 8W=6(w + 2)

Nesterboy [21]

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

7 0

3 years ago

Read 2 more answers

William invested $2,300 in an account paying an interest rate of 2 1/8% compounded quarterly. Nolan invested $2,300 in an accoun

shusha [124]

Answer:

$478

Step-by-step explanation:

After 20 years, William will have a total of $3,513.94

After 20 years, Nolan will have a total of $3,991.93

Difference = $478

William:

2300[1 + (.02125 ÷ 4)]^4 · 20

2300 · (1 + .0053125)^80

2300(1.5278)

$3,513.94

Nolan:

2300[1 + (.0275 ÷ 12)]^12 · 20

2300 · (1 + .0023)^240

2300(1.7356)

$3,991.93

6 0

3 years ago

Read 2 more answers