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3 years ago

Find the area and perimeter

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

Step-by-step explanation:

Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm

the area is length x width so the first one is 9 x 2 =18cm ^2

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Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

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1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

__________________________

Terms and topics

Linear equations with one unknown

4 0

2 years ago

Solve: 4(x+1)= -3x-10<br> SHOW WORK!!!!<br> WILL MARK BRAINLIEST

gtnhenbr [62]

Answer:

-2

Step-by-step explanation:

4x+4=-3x-10

7x=-14

x=-2

6 0

3 years ago

Read 2 more answers

Mario draws two cards, one from each of two shuffled decks. Each deck has 12 cards labeled 1-12. What is the

Kay [80]

Answer:

$\frac{11}{72}$

Step-by-step explanation:

There are two shuffled decks each of which contains 12 cards.

we need to collect two cards, 1 card from each shuffled decks.

Taking the 1st suffled decks we need to drawn one. The probability of getting 6 from the 1st shuffled decks is $\frac{1}{12}$ . In this scenario we need to find the probability of not getting 6 from the 2nd shuffled decks. The probability of not getting 6 is $\frac{11}{12}$ .

The case can also be vice-versa, that is we can get one 6 from the 2nd shuffled decks.

Hence the total probability is $2 times \frac{1}{12} times \frac{11}{12}$ .

Theoritical probability refers to those outcomes which we suppose to be happen. Experimental probability means the outcomes which can come true if tried.

The given scenario is an example of Experimental probability, as it can also be true if tried.

5 0

3 years ago

Boi was driving from mombasa to nairobi at an average speed of 63.8 km/h. he drove for hours then his car broke down. what dista

kkurt [141]

I really hope this helps

7 0

2 years ago

How is subtracting an expression similar to distributing -1

algol [13]

When you subtract you are taking away a number but also when you distribute -1 to a number it will take away 1 (because it’s negative) :-) hope this made sense!

5 0

3 years ago