MATHEMATICS HIGH SCHOOL

Make x the subject of m=n + x/p URGENT!! Please

Answers

Answer 1

Answer:

Step-by-step explanation:

$m = n + (x)/(p) \n \n (x)/(p) + n = m \n \n (x)/(p )= m - n \n \n x = m(p) - n(p) \n$

Answer 2

Answer:

Answer:

p(m - n) = x

Step-by-step explanation:

You want to "solve for x." To do this, subtract n from both sides (for the purpose of isolating the x/p term):

m - n + x/p

Next, multiply all terms by p:

p(m - n) = x

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1. At a fundraiser breakfast, the bill for 3 glasses of orange juice and 5 pancake specials is $7.60, whereas the bill for 1 glass of orange juice and 2 pancake specials is $2.90. a. Write a system of 2 equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special. b. Use the substitution method to solve the system of equations. c. What would the bill be for 1 glass of orange juice and 1 pancake special?

Answers

a.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90

b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
If:
3j + 5p = 7.60
j = 2.90 - 2p
Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10

If:
j = 2.90 - 2p
p = 1.10
Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70

Thus, the price of a glass of juice is $0.70 and the price of a pancake special is $1.10.

c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80

Thus, the bill for 1 glass of orange juice and 1 pancake special is $1.80.

What is -9/20 as a decimal and as a percent?

Answers

Decimal: -0.45 percent:-45%

To find out what a fraction as a decimal would be, you simply need to divide the numerator by the denominator.

$(-9)/(10) = -9/10=-0.9$

Now to find the percent.
To find a percentage based off of a decimal, we can either multiply the decimal by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

-0.9 = -90%

which is all we need to know.

$(-9)/(10)$ written as a decimal and a percent is -0.9 and -90% respectively.
Hope that helped! =)

Cos theta = -5/6
180° <0<270°

Answers

Answer:choccy milk solve all yo problems

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Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?a.
Fran will meet her goal working 15 hours per week.
b.
Fran must work 17 hours per week to meet her goal.
c.
Fran must work 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.

Answers

The correct answer for the given problem above would be option B. Fran must work 17 hours per week to meet her goal. Why? According to the given details above, Fran works 15 hours per week for $225 which makes it $15 per hour. If she adds another 2 hours per week to make it 17 hours, then she will earn $255 dollars per week. Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Based on the number of hours Fran works and the amount she saves, the true statement is that b. Fran must work 17 hours per week to meet her goal.

What should Fran do to reach her target?

If Fran wants to save $1,400 after 20 weeks, the amount she should save weekly is:

= 1,400 / 20

= $70 per week

Her current wage rate is:

= 225 / 15

= $15 an hour

She currently saves $40 and can keep any amount she works over 15 hours. The number of hours she then needs to work over 15 hours is:

= (Target savings - Current savings) / Wage per hour

= (70 - 40) / 15

= 2 hours

Add this to her current hours:

= 15 + 2

= 17 hours per week

Find out more on calculating wage rates at brainly.com/question/23469573.

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Write the symbolic form of the written expression given below. 1st in written expression,
Then with the appropriate order of operations,
Evaluate and simplify.

1. Three less than the product of thirteen squared and four.
2. The product of eight minus six and x.
3. The square root of thirty-six plus the sum of with and four squared.
4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.

Answers

Symbolic form of the written expression are,

1. $13^(2) *4-3 = 169*4-3=676-3=673$

2. $(8-6)x=2x$

3. $√(36) + 4^(2) = 6 + 16=32$

4. ${(7*4)-(16)/(4) } - 19 = [28-4]-19 =24-19=5$

Here, given written expression are,

1. Three less than the product of thirteen squared and four.

2. The product of eight minus six and x.

3. The square root of thirty-six plus the sum of with and four squared.

4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.

What is symbolic form?

A sentence written in symbolic form uses symbols and logical connectors to represent the sentence logically.

Now,

First statement is,

1. Three less than the product of thirteen squared and four.

Its symbolic representation,

⇒ $13^(2) *4-3 = 169*4-3=676-3=673$

Second statement is,

2. The product of eight minus six and x.

Its symbolic expression,

⇒ $(8-6)x=2x$

Third statement is,

3. The square root of thirty-six plus the sum of with and four squared.

Its symbolic expression is,

⇒ $√(36) + 4^(2) = 6 + 16=32$

Fourth statement is,

4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.

Its symbolic expression is,

⇒ ${(7*4)-(16)/(4) } - 19 = [28-4]-19= 24-19=5$

Learn more about the symbolic expression visit:

https://brainly.in/question/30131946

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$1) \ \boxed{13^2*4-3=169*4-3=\676-3=673}\n \n 2) \ \boxed{(8-6)x=2x}\n \n 3) \ \boxed{√(36) +4^2=6+16=22}\n \n 4) \ \boxed{[(7*4)-(16)/(4)]-19=[28-4]-19=24-19=5}$

The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

Answers

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

In which $C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that $\mu = 5, \sigma = 1$