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mart [117]
3 years ago
6

Which fraction shows the ratio 16:200 as a fraction simplified form

Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

<u>Answer:</u>

A. \frac{2} {25}

<u>Step-by-step explanation:</u>

We are given the ratio 16 : 200 and we are to write it as a fraction in its most simplified form.

For that, first of all we will write it in a fraction form:

\frac {16} {200}

Then we will divide 16 and 200 by 4 to get:

\frac {4}{50}

Further dividing 4 and 50 by 2 to get:

\frac{2} {25}

Therefore, \frac{2} {25} is the simplified fraction form of the ratio 16:200.

svlad2 [7]3 years ago
4 0

Answer:

C. \frac{2}{25}

Step-by-step explanation:

We have been given a ratio 16:200 and we are asked to find the ratio as a fraction in simplified form.

Since ratio compares two numbers or two quantities that are measured with the same unit.

Upon converting our ratio into fraction we will get,

\frac{16}{200}

Let us cancel out greatest common factor from numerator and denominator of our fraction to simplify it.

\frac{16}{200}=\frac{8*2}{25*8}

After cancelling out 8 we will get,

\frac{2}{25}

Therefore, our fraction simplifies to \frac{2}{25} and option C is the correct choice.

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pentagon [3]

Answer:

C and A

Step-by-step explanation:

C and A are correct answers

7 0
3 years ago
Let a be the vector of length 125 that when drawn in standard position makes a 144° angle with the positive x-axis. Let b be the
umka2103 [35]

Answer:

The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°

Step-by-step explanation:

Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,

a=125(icos(144)+jsin(144))=-101.127i+73.473j\\b=39(icos(302)+jsin(302))=20.667i-33.074j

Now that we have these, we can add them to obtain v as follows,

v=a+b\\v=-80.46i+40.399j

Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),

|v|=\sqrt{80.46^{2}+40.399^{2}}=90.033\\ angle(v)=tan^{-1}(40.399/(-80.46))=153.339

So the length of the vector is 90.033 and the angle it makes with the positive x-axis is 153.339°.

6 0
3 years ago
When a math problem states that "for every" or "every" does it mean to divide or multiply?
Naily [24]
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3 0
3 years ago
Read 2 more answers
EXPENSES: Camille has no more than $50.00 to spend each week for lunch and bus fare. Lunch costs $3.00 each day, and bus fare is
Afina-wow [57]

Answer:

Inequality: 3.00 L + 1.75B \leq 50

She can afford to buy the lunch and bus rides

Step-by-step explanation:

Given

Maximum\ Amount = \$50.00

Lunch = \$3.00 daily

Bus\ Fare = \$1.75 daily

Solving (a) The inequality

Let bus ride be represented with B and Lunch be represented with L

If 1 bus ride costs $1.75, then

B bus ride would cost $1.75 * B

If 1 lunch costs $3.00, then

L lunch would cost $3.00 * L

Total Spending is then the sum of the above expression i.e.

$3.00 * L + $1.75 * B

The question says Camille can not spend more than $50.00.

This is represented by less than or equal to.

So, the expression is:

3.00 * L + 1.75 * B \leq 50

3.00 L + 1.75B \leq 50

Solving (b): Can she afford 7 lunch and 14 bus ride?

To do this, we simply substitute 7 for L and 14 for B

3.00 * 7 + 1.75 * 14 \leq 50

21 + 24.5 \leq 50

45.5 \leq 50

The above inequality is true.

<em>Hence, she can afford to buy the lunch and bus rides</em>

8 0
3 years ago
I think my other question might've been deleted for some reason
Zarrin [17]

We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

6 0
2 years ago
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