Answer: John has 52 marbles in his collection
Step-by-step explanation:
Step 1
LET The number of marbles in John's collection can be represented by x. The and the number of marbles in Erica collection can be represented as =4x+ 10
The total number of marbles in both collections is 270 such that the expression to solve the equation will be
JOHN + ERICA = 270marbles
X + 4X+ 10= 270
Step 2--- solving
X + 4X+ 10= 270
5X+ 10= 270
5X= 270-10
5X= 260
X= 260/5
=52
John has 52 marbles in his collection
Erica has 4x + 10 = 4x 52 + 10=218 marbles
Find the difference in elevations:
8720 - 6350 = 2370 feet.
Difference in mile markers: 12-7 = 5
Average change = feet / markers
2370/5 = 474
The answer is 474 feet
Area of right-angled triangle is given by;
Area, A = 1/2 *b*h, Where b=base, h=height
Therefore,
A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh
Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
The,
A2 = 4*16 = 64 in^2
Therefore,
The area is increased by (64-16) = 48 in^2
Answer:
C
Step-by-step explanation:
- Split the figure into two rectangles
- The dimensions of the smaller rectangle on top are: length = 6 width = 10 height = 4
- V = 6(10)(4) = 240
- The dimensions of the larger rectangle on the bottom are: length = 6 width = 14 height = 16
- *You can find the height by subtracting 20 - 4 = 16*
- V = 6(14)(16) = 1,244
- Add the volumes: 240 + 1,244 = 1,584
- The sum, 1,584, is the total volume
