All categories

3 years ago

5x+1=2x-5 I need help

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

Answer:

x =-2

Step-by-step explanation:

5x+1=2x-5

Subtract 2x from each side

5x-2x+1=2x-2x-5

3x+1 = -5

Subtract 1 from each side

3x+1-1 = -5-1

3x=-6

Divide by 3

3x/3 = -6/3

x = -2

You might be interested in

penny baked 5 1/2 dozen cookies to sell at her daughters class fundrasier. her little boy snuck in the kitchen and ate 1/4 dozen

olasank [31]

63 cookies because 5 1/2 = 66 minus 3= 63 cookies

8 0

3 years ago

A line that includes the point (1, 2) has a slope of 4. What is its equation in slope-intercept

mars1129 [50]

Answer:

y=4x - 2

Step-by-step explanation:

Since the slope is 4 you plug it into the equation giving us y=4x

We still have to find the y intercept

We are given a point and from that point we can figure out that the y intercept is -2

Putting that into the formula we get y=4x-2

8 0

3 years ago

The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5

makvit [3.9K]

Answer:

66 km

Step-by-step explanation:

Given that

Number of km's traveled by a car using g liters of gasoline = 12g

Number of gallons of gas required to travel 12g kilometers = g

We have to find

How far this car can travel using $5 \frac{1}{2}$ or 5.5 liters of gasoline = x= ?

Now we can find this by substituting g= $5 \frac{1}{2}$ in the the above equation representing number of kilometers traveled by the car.

Number of km's traveled by a car using $5 \frac{1}{2}$ liters of gasoline = 12 ( $5 \frac{1}{2}$ )

x = 12 (5.5)

x= 66 km

So, the car travels 66km in 5.5 liters of gasoline

5 0

4 years ago

Read 2 more answers

Randy walks 1/2 mile in each 1/5 hour. how far will randy walk in one hour

saul85 [17]

Randy will walk 2 and a half miles in one hour.

4 0

4 years ago

Read 2 more answers

In a random sample of 11 residents of the state of New York, the mean waste recycled per person per day was 2.9 pounds with a st

dangina [55]

Answer:

80% confidence interval for the mean waste recycled per person per day for the population of New York is [2.495 , 3.305].

Step-by-step explanation:

We are given that a random sample of 11 residents of the state of New York, the mean waste recycled per person per day was 2.9 pounds with a standard deviation of 0.98 pounds.

Firstly, the pivotal quantity for 80% confidence interval for the true mean waste recycled per person per day for the population of New York is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean waste recycled per person per day = 2.9 pounds

s = sample standard deviation = 0.98 pounds

n = sample of residents = 11

$\mu$ = true mean waste recycled per person per day

Here for constructing 80% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 80% confidence interval for the true mean, $\mu$ is ;

P(-1.372 < $t_1_0$ < 1.372) = 0.80 {As the critical value of t at 10 degree of

freedom are -1.372 & 1.372 with P = 10%}

P(-1.372 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.372) = 0.80

P( $-1.372 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.372 \times {\frac{s}{\sqrt{n} } }$ ) = 0.80

P( $-\bar X -1.372 \times {\frac{s}{\sqrt{n} }$ < - $\mu$ < $-\bar X +1.372 \times {\frac{s}{\sqrt{n} }$ ) = 0.80

P( $\bar X -1.372 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +1.372 \times {\frac{s}{\sqrt{n} }$ ) = 0.80

80% confidence interval for $\mu$ = [ $\bar X -1.372 \times {\frac{s}{\sqrt{n} }$ , $\bar X +1.372 \times {\frac{s}{\sqrt{n} }$ ]

= [ $2.9 -1.372 \times {\frac{0.98}{\sqrt{11} }$ , $2.9 -1.372 \times {\frac{0.98}{\sqrt{11} }$ ]

= [2.495 , 3.305]

Therefore, 80% confidence interval for the mean waste recycled per person per day for the population of New York is [2.495 , 3.305].

7 0

3 years ago