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3 years ago

Simplify the fractions

Mathematics

2 answers:

astraxan [27]3 years ago

8 0

Answer:

Step-by-step explanation:

First we will take the LCM of 2 and 5

It's 10

so 1/2 × 5/5 = 5/10

2/5 × 2/2 = 4/10

5/10 y - 4/10 y = 1/10 y

Hope this helps

plz mark as brainliest!!!!

saveliy_v [14]3 years ago

7 0

Step-by-step explanation:

1/2y - 2/5y

= 5/10y - 4/10y

= (5/10-4/10) y

=1/10y

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Frank wants to build a 48 feet long fence around his garden. How long will be the fence in yards?

Andreyy89

Answer:

48 ft = 16 yards

Step-by-step explanation:

5 0

3 years ago

A local hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on Tuesday. There were 55 fewer cheeseburgers s

liberstina [14]

Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.

Set up an equation:
hamburgers + cheeseburgers = total number of burgers

x + (x-55) = 445

solve for x:
2x - 55 = 445

2x = 445 + 55

2x = 500

x = 500÷2

x = 250

This means 250 hamburgers were sold on Tuesday.

Hope this helps!

-Jabba

4 0

3 years ago

If an average orange weighs 75 g, how many oranges would weigh 4.5 kg?

sashaice [31]

Answer: 60 oranges

Step-by-step explanation:

Given information

Weight = 75 g / orange

Total = 4.5 kg

Given formula

Total = Number of oranges × Average weight

Convert Kilogram unit to Gram

1 kg = 1000 g

4.5 kg = 4.5 × 1000 = 4500 g

Substitute values into the given formula

Total = Number of oranges × Average weight

Number of oranges = Total / Average weight

Number of oranges = 4500 / 75

Simplify by division

$\Large\boxed{Number~of~oranges~=~60}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

Read 2 more answers

Find the integral of 3/sqrt of 1-4x^2

erastovalidia [21]

$\int {\frac{3}{\sqrt{1-4x^{2}}}} \, dx$
$= 3\int {\frac{1}{\sqrt{1-4x^{2}}}} \, dx$
$= 3\int {\frac{1}{\sqrt{4(\frac{1}{4} - x^{2})}}} \, dx$
$= \frac{3}{2}\int {\frac{1}{\sqrt{\frac{1}{4} - x^{2}}}}\, dx$

$= \frac{3}{2}sin^{-1}(2x) + C$

8 0

4 years ago

In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .

spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

$\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\$

6 0

3 years ago