Answer:
intersecting
Step-by-step explanation:
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
Which equation represents the new area, N, of the floor of the cage?
A N = w2 + 4w
B N = w2 + 6w
C N = w2 + 6w + 8
D N = w2 + 8w + 12
2. Two boys, Shawn and Curtis, went for a walk.
Shawn began walking 20 secondsearlier than Curtis.
• Shawn walked at a speed of 5 feet per second.
• Curtis walked at a speed of 6 feet per second.
For how many seconds had Shawn been walking at the moment when the two boys had walked exactly the same distance?
1) The equation that represents the new area, N, of the floor of the cage is D) N = w² + 8w + 12.
2) Shawn had been walking for 120 seconds.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The original area of the rectangular cage is:
A = lw, where l is the length and w is the width.
We are given that the length of the floor is 4 feet greater than its width, so we can write l = w + 4.
The new dimensions of the floor are w + 2 and (w + 4) + 2 = w + 6. Therefore, the new area of the floor is:
N = (w + 2)(w + 6) = w² + 6w + 2w + 12 = w² + 8w + 12
Let t be the time in seconds that Curtis has been walking. Then Shawn has been walking for t + 20 seconds.
The distance that Curtis has walked is d = 6t, and the distance that Shawn has walked is d = 5(t + 20), since Shawn started 20 seconds earlier and walks at a slower pace.
We want to find the time when they have walked the same distance, so we set the two expressions for d equal to each other:
6t = 5(t + 20)
Simplifying and solving for t, we get:
6t = 5t + 100
t = 100
Therefore, Curtis had been walking for 100 seconds when the two boys had walked exactly the same distance. At that time, Shawn had been walking for t + 20 = 120 seconds.
Learn more about algebraicExpression here:
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Answer
1.857
Explanation
The wire is 15 foot. Rop is to get 8 pieces.
If you are to get the length of each piece, we divide 15 by 8.
15 ÷ 8 = 15/8
= 1.875 foot