-3r+9=-4r+5 solve please help me

Margo spends 0.25 of her paycheck on a new dress, 1/8 of her paycheck on shoes, and $24 on a birthday present. If she spent $60

horsena [70]

Margos paycheck was $96 in total

8 0

3 years ago

Read 2 more answers

The straight line L has equation y = 2x - 5

Aleksandr-060686 [28]

Answer:

slope of perpendicular line - m = -1/2

passing through (-2,3)

thus,

y-3 = -1/2 (x+2)

or y = -1/2x +2

7 0

3 years ago

Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost $2.11 per pound and the dried kiwi

andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = $x$

Let number of pounds of dried kiwi purchased be = $y$

Total weight of dried fruits purchased = $x+y$

So, we have a sum equation as:

$x+y=10$

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of $x$ pounds of dried mango in dollars can be given as = $2.11x$

Cost of a dried kiwi = $5.07

Cost of $y$ pounds of dried kiwi in dollars can be given as = $5.07y$

Total cost of dried fruits in dollars = $2.11x+5.07y$

So, we have a cost equation as:

$2.11x+5.07y=40.34$

The system of equations is :

A) $x+y=10$

B) $2.11x+5.07y=40.34$

Solving by substitution.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $x$

$x+y-x=10-x$

$y=10-x$

Substituting value of $y$ we got from A into equation B.

$2.11x+5.07(10-x)=40.34$

Using distribution.

$2.11x+50.7-5.07x=40.34$

Simplifying.

$-2.96x+50.7=40.34$

Subtracting both sides by 50.7.

$-2.96x+50.7-50.7=40.34-50.7$

$-2.96x=-10.36$

Dividing both sides by -2.96.

$\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}$

∴ $x=3.5$

We can plugin $x=3.5$ in the rearranged equation A to get value of $y$

$y=10-3.5$

∴ $y=6.5$

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

5 0

3 years ago

Please help me! Thank you! Usually I can do stuff like this by my brain just went *splaaaaattt*

alexira [117]

Answer:

x = 100

Step-by-step explanation:

Both angles are equivalent. 150-50=100. There's your answer! :)

6 0

3 years ago

Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil

Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

$P(X\leq x)=1-e^{\frac{-x}{\lambda}}$ , where $\lambda$ is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire : $\lambda=\text{42,000 miles }$

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

$P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872$

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0

4 years ago