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3 years ago

Choose the set of equivalent fractions that correctly uses the LCD for these fractions 3/4 and 1/6

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer: 9/12, 2/12

Step-by-step explanation:

Start by writing multiples of 6 and 4

4: 4, 8, 12

6: 6, 12, 18

Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the <u>LEAST</u> COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12. Hope this helps!

NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)

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Function k is a linear function with a slope of 1/2 that passes through the point (4,2). What equation represents Function K?

Novay_Z [31]

Answer:

A. y = 1/2 x.

Step-by-step explanation:

Use the point-slope form of a linear (straight line) function:

y - y1 = m(x - x1)

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y - 2 = 1/2(x - 4)

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3 years ago

30 pointss!HELP! Two students get into an argument about the correct answer.

Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

$tan \theta = \frac{opposite side}{adjacentside} .$

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So $tan A = \frac{3}{4} .$

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So $tan C = \frac{4}{3} .$

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

7 0

4 years ago

How do you simplify 80/36

Black_prince [1.1K]

Answer:

20/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 80 and 36 is 4

Divide both the numerator and denominator by the GCD

80 ÷ 4

36 ÷ 4

Reduced fraction: 20/9

8 0

3 years ago

(U2.04 LC)

Neko [114]

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

In ΔABC

m∠A = 10x+9

m∠B = 34°

m∠C = 97°

To Find:

x= ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=\dfrac{40}{10}=4\\\\\therefore x=4$

The value of x is 4.

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4 years ago

Sarah, a self employed blogger, has adjusted gross earnings of $45,162 this year. Find the amount of social security and Medicar

maksim [4K]

Answer:

Social Security = 5600.09, Medicare = 1309.70

Step-by-step explanation:

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3 years ago