Answer:
24 quarters and 49 nickels
Step-by-step explanation:
This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- n+q=73 is an equation representing the total number of coins
- 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.
0.05(73-q)+0.25q=8.45
3.65-0.05q+0.25q=8.45
3.65+0.20q=8.45
After simplifying, we subtract 3.65 across and divide by the coefficient of q.
0.20q=4.8
q=24
We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.
The area is 7 units squared.
3-1 = 2
5--2 = 7
2x7 = 14
14/2 = 7
3/4 equals .75, and 60% equals .60. Therefore, we can set up an equation. .75=.60x, where x is the number we are looking for.
Divide each side by .60 to get the variable by itself. .75/.60= 1.25.
Hope this helped!!! :)
Answer: 11 muffins
Step-by-step explanation:
Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:
= 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:
= 11/12 ÷ 1/12
= 11/12 × 12/1
= 12
She can top 11 muffins.
The difference between point and the vertx is that a vertex can be used to create different geometric shapes and a point is always part of the shape.
Step-by-step explanation:
Though Vertex and Point sound similar, they are different in many crude aspects. Vertex is defined as the meeting point of two sides, lines or any extended parts. The point, in turn, denotes the singular identity of a place.
Hence vertex can be used to draw any geometrical pattern. It can be done by extending or protruding the given body parts which would result in a new geometrical figure.
Points would constitute every part of that geometrical surface that we wish to identify.
