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3 years ago

Find the product 2/5 * 5/6

Mathematics

1 answer:

Oduvanchick [21]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

It's easier to do multiplications like this if you write the fractions as follows:

2 5

---- * ---- = 2/6 = 1/3 (answer)

5 6

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Use the figure to the right to find the value of PT. Pt=4x + 9 and TQ= 6x - 5

zhuklara [117]

Answer:

The answer is

Step-by-step explanation:

PT 4x+9

TQ 6x-5

PT 13x

TQ 1x

The value of PT is 13 x

6 0

3 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither?

Paha777 [63]

$Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Step-by-step explanation:

We need to identify if lines:

Line 1: (8,12)(7,-5)

Line 2: (-9,3)(8,2)

are parallel, perpendicular, or neither?

Lines are parallel if they have same slopes i.e slope 1= slope2
Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2

The formula used to find slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Finding Slope of Line 1:

The points are: Line 1: (8,12)(7,-5)

$x_1=8, y_1=12, x_2=7,y_2=-5$

Putting values in the formula:

$Slope\,\,1=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,1=\frac{-5-(12)}{7-8}$

$Slope\,\,1=\frac{-5-12}{-1}$

$Slope\,\,1=\frac{-17}{-1}$

$Slope\,\,1=17$

So, Slope of line 1 is 17

Finding Slope of Line 2:

The points are: Line 2: (-9,3)(8,2)

$x_1=-9, y_1=3, x_2=8,y_2=2$

Putting values in the formula:

$Slope\,\,2=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,2=\frac{2-(3)}{8-(-9)}$

$Slope\,\,2=\frac{2-3}{8+9}$

$Slope\,\,2=\frac{-1}{17}$

So, Slope of line 2 is $\frac{-1}{17}$

Since $Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Keywords: Slope of Lines

Learn more about Slope of lines at:

#learnwithBrainly

7 0

3 years ago

Every 3 months the arena’s musical equipment needs safety checking. Look at a comparison of the last 4 years’ service costs.

shtirl [24]

The cheapest service would be the year in which the mean was the lowest. In Year 4, the mean was the lowest.

The most consistent service would be the year in which the range was the lowest. In Year 3, the range was the lowest.

3 0

3 years ago

Read 2 more answers

Please help!!! Will mark brainlist

Lisa [10]

Answer:

Not a Solution

Step-by-step explanation:

We are given two inequalities which are

y ≤ x -4 .............(i)

-x+3y>-4 ............(ii)

Also we are given an ordered pair which is (5, 1/3)

Now from this order pair we see that

x = 5 and y = 1/3

Because in an ordered pair the first element represents the x value while the second value represent the y value

Now to find whether this order pair satisfies the given inequality or not we have to plugin the values of x and y in both inequalities separately and see whether it satisfies the in equality or not

Taking First inequality:

which is

y ≤ x -4

Putting x = 5 and y = 1/3 in inequality

it becomes

$\frac{1}{3}$ ≤ 5 -4

$\frac{1}{3}$ ≤ 1 ∵ which is true

So this inequality holds the order pair

Taking second inequality:

which is

-x+3y> -4

Putting x = 5 and y = 1/3 in inequality

it becomes

-5+ $\frac{1*3}{3}$ > -4

-5+1 >-4

-4>-4 ∵ which is false because - 4 = - 4

So this inequality does not holds the order pair

So the order pair is not solution of the given inequalities because of the reason that second inequality is not satisfied

4 0

3 years ago

Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the

lidiya [134]

answer:number of cupcakes sold is 13 Number of cookies sold is 27

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

3 0

3 years ago