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Alexxandr [17]
2 years ago
9

Work out the sum of 1 2 , 1 4 and 2 5 . Give your answer as a mixed number in its simplest form.

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

Answer:

Sum of fractions = 1³/₂₀

Step-by-step explanation:

Given fractions;

1/2 , 1/4 and 2/5

Find:

Sum of fractions

Computation:

1/2 + 1/4 + 2/5

Step 1 ;

Taking LCM of denominator

[(1 x 10) + (1 x 5) + (2 x 4)]/ 20

Step 2 :

Using BODMAS rule;

[10 + 5 + 8] / 20

[15 + 8] / 20

23 / 20

Step 3:

By changing simple fraction into mixed fraction

Sum of fractions = 1³/₂₀

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What is the gcf of 60 and 20
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A rectangle has a perimeter of (20x+12y). If one side of the rectangle is (3x-4y), write the expression for the other side
Nady [450]

Answer:

(7x + 10y)

Step-by-step explanation:

To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.

(3x - 4y) + (3x - 4y) = 6x - 8y

Subtract this from (20x + 12y)

(20x + 12y) - (6x - 8y) = 14x + 20y     Divide this by two to get the length of one side

14x + 20y / 2 = 7x + 10y

If this answer is correct, please make me Brainliest!

3 0
3 years ago
HELP PLEASE <br> solve the right triangle
aleksandrvk [35]

Answer:

Part 1) FG=4.4\ units

Part 2) EF=3.9\ units

Part 3) m\angle G=63^o

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

sin(27^o)=\frac{GE}{FG} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(27^o)=\frac{2}{FG}

FG=\frac{2}{sin(27^o)}=4.4\ units

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

cos(27^o)=\frac{EF}{FG} ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(27^o)=\frac{EF}{4.4}

EF=cos(27^o)(4.4)=3.9\ units

step 3

Find the measure of angle G

we know that

m\angle G+27^o=90^o ---> by complementary angles in a right triangle

m\angle G=90^o-27^o=63^o

7 0
3 years ago
Use the first and last data points to find the slope intercept equation of a trend line.
andriy [413]

Answer:

y = \frac{16}{3}x-79

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points (x_1,y_1) and (x_2,y_2) are lying on a line then slope 'm' of the line will be,

m = \frac{y_2-y_1}{x_2-x_1}

   = \frac{47-15}{7-1}

   = \frac{32}{6}

   = \frac{16}{3}

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \frac{16}{3}(x-15)

y = \frac{16}{3}x-\frac{16}{3}(15)+1

y = \frac{16}{3}x-80+1

y = \frac{16}{3}x-79

4 0
3 years ago
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