twice as many dimes as quarters. How
many of each coin are in the purse?
Answer:
dimes = 12, quarters =5
Step-by-step explanation:
Let x stand for quarters. So if there are two more than twice as many dimes than quarters than it would look something like
d = 2x+2
q = x
Now multiply them by the value of the coin, to get them into cents. So you'd multiply dimes by twn (2x+2*10) which is equal to 20x+20. Multiply quarters by 25. x*25=25x
Now make an equation. 20x+20+25x=245
45x=225
x=5
q = 5
d = 12
The area of figure ABCD is:
24 square units.
We see that the given points form the vertices of a trapezium ABCD with bases AD and CB with measure,
AD= 3 units
and CB=5 units
and the height of the trapezium is: AB= 6 units.
Hence, the area of trapezium ABCD is:
Hence, the area of figure ABCD is:
24 square units.
The equation is a = 4d and the solution is a = 32. This means that Arthur saves $32 per week.
An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Saving per week= $8
Now,
To write an equation that shows how to find the amount “a” Arthur saves, we need to use the given information. We are told that Arthur saves 4 times the amount D’ John saves in the same week.
We can write this as:
a = 4d
where a is the amount Arthur saves and d is the amount D’John saves. We are also told that D’John saves $8 per week. We can substitute this value into the equation and solve for a. We get:
a = 4d a = 4(8) a = 32
Therefore, by the equation the answer will be a = 4d, a = 32 and Arthur saves $32 per week.
Learn more about equations here;
#SPJ3
6{5(3-9)-1}+2 / 7(8-2)+4