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2 years ago

4/5 + 2/3 in simplest terms

Mathematics

1 answer:

RSB [31]2 years ago

8 0

Answer:

$\frac{8}{15}$

Step-by-step explanation:

1) use this rule: $\frac{a}{b}$ × $\frac{c}{d} =\frac{ac}{bd}$

$\frac{4*2}{5*3}$

2) simplify 4 * 2 to 8

$\frac{8}{5*3}$

3) simplify 5 * 3 to 15

$\frac{8}{15}$

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The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is

Svetradugi [14.3K]

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

$x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}$

From the above equation , y intercept of first line is $\frac{-3}{2}$

Solve the second equation for y and find out y intercept

$2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3$

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

$\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5$

Answer:

The distance between the parallel lines = 1.5

Reference:

brainly.com/question/24145911

7 0

3 years ago

Read 2 more answers

Could you pls help with question 2

kolezko [41]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

Decimal Form:

0.3

this is the first one I'm not to good with area

8 0

2 years ago

In a survey 3500 people who owned a certain type of car 2100 S. they would buy that type of car again what percent of the people

mart [117]

Answer:

60%

Step-by-step explanation:

The 2100 people surveyed said they would buy it again, meaning they were satisfied. A total of 3500 people were surveyed.

So 2100 / 3500 = 60%

please give thanks :)

3 0

3 years ago

A pair of shoes costs $70.00. How much will the customer pay after 7% sales tax is added to the purchase?

ANEK [815]

Answer:

$74.90

Step-by-step explanation:

If $70 is your original price, you would need to multiply it by 1.07, because that is 107%.

Since the original price is 100% of the price, and sales tax is another 7% of the price, you are multiplying the original price by 107%, again making $74.90.

Do you understand?

5 0

3 years ago

What is the vertex of the graph y = x^2 + 6x - 5 ?

Dafna11 [192]

Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:

y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14

Then the vertex is (-3, -14).</span>

6 0

4 years ago