A fraction equivalent to 3/8<br>with denominator 20 is

A collection of quarters and nickels is worth $13.70. There are 106 coins in all.

LiRa [457]

We make two sets of equations: x + y = 106 and 0.05x + 0.25y = 13.70. I will solve by substitution. Subtract "x" from both sides of x + y = 106 to convert it to slope intercept form, so y = 106 - x. Substitute y = 106 - x into 0.05x + 0.25y = 13.70, so 0.05x + 0.25(106 - x) = 13.70. Solve for 0.05x + 0.25(106 - x) = 13.70, so 26.5 - 0.2x = 13.7, then x = 64. Substitute 64 into x + y = 106, so 64 + y = 106, then y = 42. There is 64 nickels and 42 quarters.

4 0

4 years ago

The cost to a store for a box of cereal is $2.50. The store is selling the box of cereal for $3.50. What is the percent of marku

zysi [14]

Well, the cereal cost 2.5, and the store is selling for 3.5, so is 1 buck more.

if we take 2.5 to be the 100%, what is 1 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2.5&100\\
1&p
\end{array}\implies \cfrac{2.5}{1}=\cfrac{100}{p}\implies p=\cfrac{1\cdot 100}{2.5}\implies p=\stackrel{\%}{40}$

8 0

4 years ago

Someone help me please

Keith_Richards [23]

Answer:

144 tiles

Step-by-step explanation:

if the room is 144 feet squared and one tile is one square foot

6 0

3 years ago

Name the geometric solid suggested by a basketball

Olin [163]

Sphere, the answer is a sphere

8 0

3 years ago

Jake is studying a small insect population for his science fair project. In the mornings before school he records the insect pop

Masja [62]

Using it's concept, it is found that the average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.

<h3>What is the average rate of change?</h3>

The <em>average rate of change</em> of a function f(x) over an interval [a,b] is given by the <u>change in the output divided by the change in the input</u>, that is:

$A = \frac{f(b) - f(a)}{b - a}$