All categories

3 years ago

2.5x + 8.5y=90 what is the number for x

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

8 0

Answer:

It will have infinitely many solutions depending upon value of y.

For eg:

<u>Put y=10,</u>

2.5x+8.5×10=90

2.5x=5

x=2

<u>For y=0 </u>

x=90/2.5=36

and so on

You need a system of linear equations to get a single solution for x

You might be interested in

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal numb

natita [175]

6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars

Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.

I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.

5 0

3 years ago

Read 2 more answers

At Paul's bowling alley,it costs 4.00 to rents shoes and 3.50 to bowl each game. At Maggie's bowling alley, it costs 3 to rent s

jeyben [28]

Answer: it will take 4 games for both costs to be the same.

Step-by-step explanation:

Let x represent the number of games that must be bowled before the costs become the same.

At Paul's bowling alley,it costs 4.00 to rents shoes and 3.50 to bowl each game. This means that the cost of bowling x games at Paul's bowling alley would be

3.5x + 4

At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. This means that the cost of bowling x games at Maggie's bowling alley would be

3.75x + 3

Therefore, for the costs to be the same, the number of games would be

3.5x + 4 = 3.75x + 3

3.75x - 3.5x = 4 - 3

0.25x = 1

x = 1/0.25 = 4

4 0

3 years ago

In a re survey 3 out of 8 people preferred the vanilla yogurt over the strawberry yogurt if there were a total of 120 surceyed h

Oxana [17]

45 people like vanilla yogourt

8 0

3 years ago

Read 2 more answers

Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how

blagie [28]

Answer:

Step-by-step explanation:

Henry is 3 more than twice Nicholas' age. You can write this as :

H = 3 + 2N

Marcus is 9 less than 6 times Nicholas' age:

M = 6N - 9

Since Henry and Marcus are twins, this means H = N.

3 + 2N = 6N - 9

Add 9 to both sides

12 + 2N = 6N

Subtract 2N from both sides

12 = 4N

Divide both sides by 4 to find N.

N = 12/4 = 3

8 0

3 years ago

A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years

juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

$\mu=10\text{ years}\\\sigma=3\text{ years}$

Let $X_1$ and $X_2$ are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator $X_3$ .

So that, $X =X_1+X_2-1.9\times X_3$

Mean $=E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1$

Standard deviation = $\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}$

$=\sqrt{(3^2+3^2+(1.9\times3)^2)}$

$=7.1056315694$

Z-score : $z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14$

Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

$P(Z>-0.14)=P(Z$

Hence, the required probability is 0.55567.

3 0

3 years ago