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serious [3.7K]
3 years ago
13

The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks. How many geese are there?

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

D:G-------> 3:5

27/3=9

9 x 5= 45

45 geese

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True or false the order of magnitude for the population of the United States is 4
ad-work [718]

Answer:

  False

Step-by-step explanation:

Order of magnitude can mean different things in different contexts. In math, when we talk about order of magnitude, we generally mean the base-10 logarithm.

__

<h3>population order of magnitude</h3>

The population of the US is estimated at about 3.32×10^8 on 1 Jan 2022. The base-10 log of this number is about 8.52.

The order of magnitude of the US population is about 8.5, not 4.

7 0
2 years ago
Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his o
Nesterboy [21]

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

4 0
3 years ago
Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

5 0
3 years ago
Write an equation in slope-intercept form for the line with slope 1/4 and y intercept -4. Then graph the line​
quester [9]

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

b is the y intercept ( crossing y axis value)....     by inspection   b = -4

m is the slope of the line,  Slope = m = 1/4      note: the slope is positive

the slope equals the 'rise' over 'run'  

if the line moves up the slope is positive, if the line moves down the slope is negative

the rise is how many y units does the line go 'up' or 'down'

the run is how many x units does the line go 'left' or 'right'

the rise = 1  Y unit

the run = 4 X units

y = mx + b    m =1/4  b = -4

y = (1/4)x + (-4)

y = (1/4)x - 4

graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for  every FOUR X units (the run)

3 0
3 years ago
519 divided by 6 and 915 divided by 7 and 439 divided by 7 and 812 divided by 9 which one does not have a two digit quotient.
Setler [38]

519/6=86.5

915/7=130.7142

439/7=62.7142

812/9=90.2222

so i think its the 1st on but i may be wrong.

5 0
3 years ago
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