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2 years ago

Do 12/15 and 8/10 have the same value? Explain your answer in complete sentences.

Mathematics

2 answers:

Reil [10]2 years ago

8 0

Answer:

yes they have the same value

Bezzdna [24]2 years ago

5 0

Answer:

Yes, they have the same value because when we write them to their lowest term :-( which is a form of a fraction in which the numerator and denominator have no common factor except one) both of them give 4/5 which is 0.8

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CL 6-131. Solve each system using the method of your choice.

shepuryov [24]

System 1: The solution is (x, y) = (-4, 5)

System 2: The solution is $(x, y) = (\frac{11}{3}, -3)$

Solution:

Given system of equations are:

2x + 3y = 7 ------ eqn 1

-3x - 5y = -13 --------- eqn 2

We can solve by elimination method

Multiply eqn 1 by 3

6x + 9y = 21 ------ eqn 3

Multiply eqn 2 by 2

-6x - 10y = -26 ------- eqn 4

Add eqn 3 and eqn 4

6x + 9y -6x - 10y = 21 - 26

-y = -5

y = 5

Substitute y = 5 in eqn 1

2x + 3(5) = 7

2x + 15 = 7

2x = -8

x = -4

Thus the solution is (x, y) = (-4, 5)

<h3>Second system of equation is:</h3>

8 - y = 3x ------ eqn 1

2y + 3x = 5 ----- eqn 2

We can solve by susbtitution method

From given,

y = 8 - 3x ----- eqn 3

Substitute eqn 3 in eqn 2

2(8 - 3x) + 3x = 5

16 - 6x + 3x = 5

3x = 16 - 5

3x = 11

$x = \frac{11}{3}$

Substitute the above value of x in eqn 3

y = 8 - 3x

$y = 8 - 3 \times \frac{11}{3}\\\\y = 8 - 11\\\\y = -3$

Thus the solution is $(x, y) = (\frac{11}{3}, -3)$

4 0

2 years ago

Explain how making a table helps to compare two or more sets of data that have been presented in different ways.

vlabodo [156]

Making a table helps compare two or more sets of data because you can see how much it has increased or decreased.

4 0

2 years ago

Read 2 more answers

Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in

loris [4]

The table showing the conversion of angle measure in degrees to angles in gradients is attached below.

In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).

For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:

$m= \frac{300-(-200)}{270-(-180)} \\ \\ 
m= \frac{500}{450} \\ \\ 
m=1.11$

So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11

8 0

2 years ago

Read 2 more answers

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 km14, start fraction, 2, divided by, 9, end fract

zaharov [31]

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of $14\frac{2}{9}\ km$ was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by: