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3 years ago

Tap picture and answer all

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Check the attachment or picture for the completed worksheet.

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If a person is born every 5 seconds and a person dies every 12 seconds, then how many seconds does it take for the population to

harina [27]

Solution:

As per the problem

A person is born every 5 seconds and a person dies every 12 seconds.

Here the LCD of 5 and 12 is 60.

The number of person born in 60 seconds $=\frac{60}{5}=12\\$

The Number of person died in 12 seconds $=\frac{60}{12}=5$

Hence Population increase in 60 seconds is $=12-5=7\\$

Hence time required to increase the population by one $=\frac{60}{7} \ \ seconds\\$

5 0

3 years ago

A computer randomly selects a number from the given set.

Nady [450]

4/7!!!!!!!!!!!!!!!!!!

7 0

3 years ago

Read 2 more answers

Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to

aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

$\frac{7}{10} x-3$

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

$\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\$

$\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40$

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0

3 years ago

Find the area of the trapezoid. Pls explain and I will mark brainliest.

timama [110]

Answer:

B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
The legs of a 45x45 triangle are equal

The above mentioned properties give us:

h = 16/2 = 8 m
b = 8√3 ≈ 13.85 m
a = h = 8 m

Now find the area:

A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B

8 0

2 years ago

Solve for x: 4(x + 2) = 3(x − 2) A) −2 B)−4 C) −10 D) −14

BARSIC [14]

4(x+2)=3(x-2)

Multiply the first bracket by 4

Multiply the second bracket by 3

4x+8=3x-6

Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)

4x-3x+8=3x-3x-6

x+8=-6

Move positive 8 to the right hand side

x+8-8=-6-8

x=-14

Check answer by using substitution method

Use x=-14 into both of the equations

4(-14+2)=3(-14-2)

-56+8=-42-6

-48=-48

Answer is -14- D)

6 0

3 years ago