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wlad13 [49]
2 years ago
14

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches

Mathematics
1 answer:
Irina-Kira [14]2 years ago
7 0

Answer:

Step-by-step explanation:

8.3÷0.25

Multiply that by 30 and you get 996

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0
3 years ago
True or false the sum of two negative numbers is always negative explain why or why not this is true or false
erma4kov [3.2K]

Answer:

true

Step-by-step explanation:

Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account

3 0
3 years ago
Read 2 more answers
30 dogs to 20 cats lowest fraction
Romashka [77]

Answer:

Answer : 3/2

Step-by-step explanation:

30/20= 3/2

it is because we don't want the zero so that we can take it off.

Hope this help you!! :))

5 0
3 years ago
19. If 1:3=4:x, then what is the value of x<br>9<br>12<br>4/3<br><br>15​
gulaghasi [49]

Answer:

Step-by-step explanation:

1 : 3 : : 4: x

Multiply 1 and x and multiply 3 and 4

x = 12

7 0
3 years ago
1. Find the slope of the line.<br><br> 2. Find the rate of change.
d1i1m1o1n [39]

Answer:

the slope of the line is 2 over 1 which means the answer is 2

the rate of change is c

To find the slope of the line you have to go rise over run.

to find the rate of change you have to see how much does the numbers in y go by.

8 0
3 years ago
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