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8090 [49]
3 years ago
14

Divide $500 in these ratios using the unitary method. A. 2:3 B. 3:7 C. 1:1

Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

A) 200 is to 300 dollars

B)150 is to 350 dollars

C) 250 is to 250

Step-by-step explanation:

Part A) We want to divide $500 in the ratio 2:3 using the unitary method.

The total ratio is 2+3=5.

This means one unit is \frac{500}{5}=$100

Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300

Part B) We want to divide $500 in the ratio 3:7 using the unitary method.

The total ratio is 3+7=10.

This means one unit is \frac{500}{10}=$50

Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350

Part C) We want to divide $500 in the ratio 1:1 using the unitary method.

The total ratio is 1+1=2.

This means one unit is \frac{500}{2}=$250

Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250

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Is this a relation: {(-2,1), (0,0), (0,1), (1,-2), (1,0), (1,3), (2,0)}? Explain why or why not.
tatiyna

It is a relation because any relation is simply a set of (x,y) values known as points or ordered pairs. There are no other qualifications needed to be a relation. We simply pair up any x and y value we want.


I think you meant to ask if it's a function or not. If so, then the answer is "no, it is not a function". Why not? Because the x value x = 0 produces more than one y output y = 1 and y = -2. Graph these points and you'll see them fail the vertical line test (ie its possible to draw a vertical line through more than one point on the graph). The same issue happens with (1,-2), (1,0) and (1,3) as well.


In summary:

Yes it is a relation

No it is not a function

The reasoning for each is stated above

4 0
3 years ago
What would x be in the image above?
Kryger [21]

Answer:

x= -7

Step-by-step explanation:

the labeled angles are alternate-interior angles which are congruent

we can solve for 'x' by creating this equation:

x+139 = 132

x = -7

7 0
3 years ago
How do you subtract an integer from another integer without using a number line or counters? Give an example.
Feliz [49]
An integer is all whole numbers and zero, are the numbers you are talking about negatives?
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4 years ago
What is the interquartile range of the data set? 5,6,7,8,9,10,11
sasho [114]
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3 0
3 years ago
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
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