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Lady bird [3.3K]
3 years ago
15

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters

on the map?
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

6.25 km

Step-by-step explanation:

Let the number of km represented by 5 cm be x

Hence,

4 : 5 : : 5 : x

4x=25

x=6.25 km

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How can you calculate the area of the circle if you know the circle’s circumference?
Nimfa-mama [501]
Divide the circumference by pi, then divide that by 2, then you would have the radius, and the area is r squared multiplied by pi
8 0
4 years ago
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his exper
SpyIntel [72]

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: brainly.com/question/12490064

6 0
2 years ago
Find the equation of the line<br> Use exact numbers <br> y=*blank*x+*blank*
Murljashka [212]
You are looking for the slope and y intercept to complete the equation of the line.

The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.

First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.

Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.

m = (4-0)/(0+2) = 4/2
m = 2

m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.

Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.

The equation is y = 2x + 4

6 0
3 years ago
HELP ME PLS ON THIS QUESTIONNN!!!!!!!!!!!!!
sp2606 [1]

Step-by-step explanation:

area of trapezoid = 1/2 × (a+b) h

where a = long base

b = short base

h = height

given that, a = 8, b = 5, a of trapezoid = 104:

area of trapezoid = 1/2 × ( 8+5) h

104 = 13/2 h

104 * 2 = 13 h

13 h = 208

h = 208 / 13

h = 16.0 ft.

hope this helps you!

-s.

3 0
3 years ago
Spinner A and Spinner B have 4 color choices each: grey, orange, blue and yellow. What is the probability of getting a Blue and
anastassius [24]

Answer:

The probability of getting a Blue and Gray combination is 6.25%.

Step-by-step explanation:

Given that Spinner A and Spinner B have 4 color choices each: gray, orange, blue and yellow, to determine what is the probability of getting a Blue and Gray combination from the area model below, the following calculation must be performed:

Blue / Total: 1/4

Gray / Total: 1/4

1/4 = 0.25

0.25 x 0.25 = X

0.0625 = X

0.0625 x 100 = 6.25

Therefore, the probability of getting a Blue and Gray combination is 6.25%.

6 0
3 years ago
Read 2 more answers
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