Sarah has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. a. Let q = the number of quarters and n = the number of nickels. Write an equation relating the number of quarters and nickels to the total number of coins. b. Write an equation relating the value of the quarters and the value of the nickels to the total value of the coins. c. How many of each coin does Sarah have?

a.

b.

c. Sarah has 3 nickels and 5 quarters

Sep-by-step explanation:

Given

Coins = 8

Worth = $1.40

Solving (a): Equation relating to number of coins

From the question, we understand that

q = quarters

n = nickels

The required equation is:

Solving (b): Equation relating to worth of coins

So, the equation is

Solving (c): Values of q and n

Make n the subject of formula in (a)

Substitute 8 - q for n in (b)

Collect Like Terms

Make q the subject of formula

Substitute 5 for q in

Hence;

Sarah has 3 nickels and 5 quarters

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)