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lisov135 [29]
3 years ago
5

Simplify the ratio 40cm:2m

Mathematics
2 answers:
kakasveta [241]3 years ago
4 0
First, convert 2m into cm by multiplying by 100 so the ratio is now 40:200, then 40 goes into 200 5 times so the ratio is 1:5. Hope that helped!
Nastasia [14]3 years ago
4 0

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 40cm:2m, first we must make all the units consistent.

Converting 2m to centimeters (cm) using the conversion

100cm = 1m

then xcm = 2m

Cross multiplying we have;

100×2 = x× 1

x = 200cm

The ratio becomes 40cm:200cm

Note that ratio of two numbers also means taking their quotient, therefore;

40cm:200cm = 40cm/200cm

= 4/20

= 1/5

The simplified form of the ratio is 1:5

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7,051,004,264 in expanded notation
riadik2000 [5.3K]

7,000,000,000 + 0 + 50,000,000 + 1,000,000 + 0 + 0 + 4,000 + 200 + 60 + 4

I’m not sure if you’re supposed to put the commas in it

3 0
3 years ago
8) If the resistance in an electrical circuit is held constant, the amount of current flowing through the 8) circuit is directly
Len [333]

Answer:

C) 80 milliamperes

Step-by-step explanation:

The amount of current flowing through a circuit is directly proportional to the amount of voltage applied across the circuit. The relation between current(I) and voltage(V) can be expressed as:

I \propto V\\\\I = \frac{1}{R}V

Here, \frac{1}{R} is the proportionality constant. It is given that, when voltage is 2 volts, 40 milliamperes(40 \times 10^{-3} amperes) current flow through the circuit. Using these  values we can find the value of proportionality constant. i.e.

40 \times 10^{-3}=\frac{1}{R} \times 2\\\\ \frac{1}{R}=20 \times 10^{-3}

Using this value, we can establish the relation between I and V as:

I = 20 \times 10^{-3} \times V

Now, we need to calculate value current (I) if voltage is equal to 4 volts. Substituting V = 4 in above equation, we get:

I = 20 \times 10^{-3} \times 4\\\\ I = 80 \times 10^{-3}

Thus, the value of current will be 80 milliamperes

6 0
3 years ago
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from
beks73 [17]

" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function ⇒ D

Step-by-step explanation:

The form of the linear function is f(x) = mx + b, where

  • m is the slope (rate of change) of the function
  • b is the y-intercept (initial amount) of the function

∵ f(x) = 37 x + 20 models the total cost for Rachel to be a member

   at a gym for x months

∵ f(x) = m x + b

∴ m = 37 and b = 20

∵ m represents the rate of change

- That means she must to pay 37 per month for x months

∴ Rachel must pay $37 per month to use the gym

∵ b represents the initial amount

- That means she pays a fixed amount one time

∴ Rachel must pay a $20 membership fee to join the gym

" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function

Learn more:

You can learn more about the linear function in brainly.com/question/1284310

#LearnwithBrainly

3 0
4 years ago
I dont know how to solve this one ​
Olenka [21]

Answer:

The answer is the second option or B, you have to divide the top number by the bottom number to get a unit rate.

5 0
3 years ago
Read 2 more answers
Evaluate 2(x + 1) - 3 when x = 6.
alexandr1967 [171]

Evaluate 2(x + 1) - 3 when x = 6.

First, plug in x value.

2(6 + 1) -3   ParenthesisEMDAS

2(7) - 3       PEMultiplyDAS

14 - 3          PEMDASubtract

11 ←

4 0
4 years ago
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