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3 years ago

What is 3/5 minus 1/4?

2 answers:

7 0

First get a common denominator, 5 and 4 share 20 as a least common denominator. next, multiply the tops to match the bottom. 12/20 – 5/20 = 7/20

Gala2k [10]3 years ago

3 0

7/20 since 3/5 is 12/20 and 1/4 is 5/20

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In a local town, 4/5 of the voting-age population is registered to vote. If 7/8 of the registered voters voted in the election

STALIN [3.7K]

Answer:

$\frac{7}{10}$ of voting age population voted

Step-by-step explanation:

In order to find out that fraction we just have to mulitply the fraction of the people that were registered by the fractions of the people that were registered and voted. And so we get...

$(\frac{4}{5})(\frac{7}{8}) = \frac{(4)(7)}{(5)(8)} = \frac{28}{40} = \frac{7}{10}$

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2 years ago

The following chart shows the times of runners in the 100 meter sprint.

Elden [556K]

Answer:

Tyrone

Step-by-step explanation:

In a race the shortest time is the winner.

In this case the ones and the tens place are all the same so we look to the tenths place in which Tyrone has a 0 which is the lowest.

4 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

27 + 71 = 98 + 1 - ______. What should come in the box to make the above number sentence true?

Andreas93 [3]

Answer:

Step-by-step explanation:

Read the article and review the phases of mitosis.

Mitosis

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prophase

metaphase

anaphase

telophase

cytokinesis

8 0

2 years ago

Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that

Viefleur [7K]

Answer:

The equations are

(a) x/3 = 6

(b) (5x + 9)/2 = 12

(d) 5/x = 20/8

The answers to the question are

(a) x = 18

(b) x = 3

(d) x = 2

Step-by-step explanation:

(a) x/3 = 6

Therefore x = 3×6 = 18

x =18

Substituting the value of x in the above equation, we have

18/6 = 3 verified

(b) (5x + 9)/2 = 12

Multiplying both sides by 2 gives

(5x + 9)/2 × 2 = 12×2 = 24

5x + 9 = 24 or x = (24-9)/5 = 3

Substituting the value of x in the above equation, we have

(5×3 + 9)/2 = 24/2 = 12 verified

x = 3

Multiplying both sides by 4, we have

x/4×4 = 9/6×4 = 6

x = 6

Substituting the value of x in the above equation, we have

(6/4 = 9/6 = 3/2 verified

(d) 5/x = 20/8

Inverting both equations, we have

x/5 = 8/20

Multiplying both sides by 20 we have x/5 × 20 = 8/20 × 20 or 4x = 8 and x = 2

Substituting the value of x in the original equation, we have

2/5 = 2/5 = 8/20 verified

x = 2

6 0

3 years ago