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Alex73 [517]
3 years ago
5

On a scale drawing, 1 millimeter is 5 meters. If a line on the drawing is 4.5 centimeters, how many meters is it actually?

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0
We know 4.5 cm = 45 mm so all we have to do is 45 mm*5 to get 225 meters. Your answer would be: This is actually 225 meters. Hope this helps!
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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
Which of the following are arithmetic sequences? Check all that apply.
telo118 [61]

a c and d

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3 0
3 years ago
Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
Nataliya [291]

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

6 0
3 years ago
2) True or False: Absolute value is always negative?|
german

Answer:

True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the answer to factorise 8x+6 ?
motikmotik
The common factor is 2 so: 2(4x+3) is the answer
8 0
3 years ago
Read 2 more answers
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