A piggy bank contains 35 coins.

Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

Let d = number of dimes. Let q = number of quarters.

d + q = 35

A dime is worth 10 cents, or $0.1; d dimes are worth 0.1d.

A quarter is worth 25 cents, or $0.25; q quarters are worth 0.25q.

0.1d + 0.25q = 4.9

The system of equation is

d + q = 35

0.1d + 0.25q = 4.9

You might be interested in

-4x -8y = -24 <br> y = -5x -6

Butoxors [25]

I would say this 7 because when you subtract

8 0

3 years ago

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If fie

balu736 [363]

Answer:

20,000m²

Step-by-step explanation:

If they jog 12 km/h for half an hour, they have covered.

12 X 0.5 = 6km in 10 circuits. Making 1 perimeter

6 / 10 =0.6 km (600 m).

To determine area we need to convert this perimeter to length and width. We know that it is a rectangle, with 2 equal widths and 2 equal lengths, and the length is twice the width.

So L = 2W

Perimeter = 2W + 2L

600 m = 2W + 2(2W)

600 m = 6W

W = 100 m

L = 200 m

Area = 100 X 200 = 20,000 m²

4 0

2 years ago

Please help me with parts A, B, and C.

leonid [27]

Answer:

(a) scalene, see attachment

(b) acute, see attachment

Step-by-step explanation:

(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.

(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.

(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.