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3 years ago

Are the ratios 2:3 and 3:2 equivalent? Yes No

Mathematics

2 answers:

hodyreva [135]3 years ago

8 0

Answer:

Step-by-step explanation:

Mrrafil [7]3 years ago

7 0

Answer:

no , they not equal they are different

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In the geometric sequence below, what is the common ratio? Sequence: 64,16,4,1

Elanso [62]

9514 1404 393

Answer:

1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

16/64 = 4/16 = 1/4

The common ratio is 1/4.

4 0

3 years ago

Karin's mom runs a dairy farm. Last year Betty the cow gave 375 litres less than twice the amount the amount from Bessie the cow

Oduvanchick [21]

Answer:

The volume of milk each cow produce are:

Betty = 851 litres

Bessie = 613 litres

Step-by-step explanation:

Let the volumes of milk from each of them be:

Betty = X litres

Bessie = Y litres

We are given the following information:

X = 2Y - 375 . . . . . . (1) (Betty the cow gave 375 litres less than twice the amount the amount from Bessie the cow)

X + Y = 1464 . . . . . . (2) (Together Betty and Bessie produced 1464 litres of milk)

Next, we will replace the value of 'X' in equation (2) with equation (1) as follows:

X = 2Y - 375 . . . . . . (1) ; X + Y = 1464 . . . . . . (2)

Therefore, equation (2) becomes:

(2Y - 375) + Y = 1464

2Y + Y - 375 = 1464

3Y - 375 = 1464

3Y = 1464 + 375 = 1,839 (divide both sides by 3)

∴ Y = 1839 ÷ 3 = 613 litres

Finally, from equation 2, we have X + Y = 1464 ; since Y = 613, solving for X:

X + Y = 1464

X + 613 = 1464

X = 1464 - 613 = 851 litres

Therefore:

Betty (X) = 851 litres

Bessie (Y) = 613 litres

3 0

3 years ago

Ava wants to draw a parallelogram on the coordinate plane. She

wolverine [178]

Answer:

$k =(2,1)$

$JK = 2$

Step-by-step explanation:

Given

$J = (0,1)$ ---- $(x_1,y_1)$

$H = (1,-2)$ --- $(x_2,y_2)$

$I = (3,-2)$ --- $(x_3,y_3)$

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

$\frac{1}{2}(I + J) = \frac{1}{2}(H+K)$

$\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)$

$\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)$

$\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)$

Multiply through by 2

$(3,-1) = (1+x,-2+y)$

By comparison:

$1 + x = 3$

$-2 + y = -1$

Solve for x and y

$x = 3 - 1 =2$

$y = -1 +2 = 1$

So, the coordinates of k is:

$k =(2,1)$

The length of JK is calculated using distance (d) formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

$J = (0,1)$ ---- $(x_1,y_1)$

$k =(2,1)$ ---- $(x_2,y_2)$

So:

$d = \sqrt{(0 - 2)^2 + (1 - 1)^2$

$d = \sqrt{(- 2)^2 + (0)^2$

$d = \sqrt{4 + 0$

$d = \sqrt{4$

$d = 2$

Hence:

$JK = 2$

8 0

3 years ago

Click to review the online content.

jekas [21]

The slope is the average rate of change they are synonyms.

5 0

4 years ago

Need help with these math questions

PSYCHO15rus [73]

$\sqrt{16-x}$ x = 8

Since x = 8, you can plug in/substitute 8 for "x" in the equation:

$\sqrt{16-x}$

$\sqrt{16-8}$

$\sqrt{8}$

2.82842

2.83 You answer is the 4th option

$\sqrt{x+7}$ x = 9

Plug in 9 for "x" in the equation

$\sqrt{x+7}$

$\sqrt{9+7}$

$\sqrt{16}$

4 Your answer is the 1st option

4 0

3 years ago