In the year 2003, a person bought a new car for $21500. For each consecutive year

Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?

Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0

3 years ago

A square has an area of 49 square inches. Explain how to find the perimeter of the square.

dexar [7]

It is a square, so you know the sides are equal. You also know that 49 is a squared number. so you do 49 square rooted and you get 7. the perimeter is adding all the side lengths. So you take 7 and multiply it by 4 since a square has 4 sides. and u have your perimeter. 28!<span />

3 0

3 years ago

Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three

kumpel [21]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

$y=3x+4$

This is a linear equation (the graph is a line)

The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

The slope is m=3

If the slope is changed to m=1/3

we have

$y=(1/3)x+4$

This is a linear equation too (the graph is a line)

The y-intercept is the point (0,4) ---> is the same

The x-intercept is the point (-12,0) ---> the x-intercept is different

The slope is m=1/3

The second line becomes a lot less steep

Remember that the slope is the ratio between the rise and the run

In the first line the ratio rise/run is 4/1

In the second line the ratio rise/run is 1/3

see the attached figure to better understand the problem

5 0

2 years ago

Solve −3x2 + 30x − 90 = 0. x equals 5 plus or minus 2i square root of 5 x equals 5 plus or minus i square root of 5 x equals 10

Tcecarenko [31]

The x in your equation is 16/5 or 3 1/5 or 3.2 if you want it simplified

5 0

2 years ago

Read 2 more answers

A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta

valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0

2 years ago