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2 years ago

Help me with this!!!!!!

Mathematics

1 answer:

sveta [45]2 years ago

6 0

Answer:

Step-by-step explanation:

IJ≅IH so they are the same length

IH = 82 = IJ

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Can anyone figure this out for me please? It would be greatly appreciated.

Ira Lisetskai [31]

Check the picture below.

now, to get how much is the area of the tiled section, we simply get the area of the whole pool, 53x26, which includes the tiles, and then subtract the area without the tile, the rectangle in the middle, and what's leftover, is the area of the tiled area.

$\bf 53-4\frac{1}{2}-4\frac{1}{2}\implies 53-9\implies \boxed{42}
\\\\\\
26-4\frac{1}{2}-4\frac{1}{2}\implies 26-9\implies \boxed{17}
\\\\\\
\textit{so the area of the rectangle in the middle is}\implies 42\cdot 17\implies 714
\\\\\\
\textit{and the area of the whole pool is}\implies 53\cdot 26\implies 1378$

$\bf \stackrel{\textit{area of the whole pool}}{1378}~~-~~\stackrel{\textit{area of the middle rectangle}}{714}\implies \stackrel{\textit{area of the tiles}}{664}\\\\
-------------------------------\\\\
\textit{we know that is }\$5\frac{1}{2}\textit{ for a foot of tile, then}\stackrel{\textit{price of the tiles}}{664\cdot 5\frac{1}{2}}\implies 3652$

8 0

3 years ago

How can i plus and subtract fractions

Alexandra [31]

You would have to find a common denominator

8 0

3 years ago

A room has dimensions of 8 mx 6 mx 4 m.

natali 33 [55]

Answer:

Price of paint = Rs 16,640

Step-by-step explanation:

As 3 dimensions are given so the third one must be for ceiling.

So in this case, we can find area as follows:

Area = 2(length * width) + 2(length * height)+ 2(height * width)........eq1

Lets say:

Length = 8m

Width = 6m

Height = 4m

So putting value in eq1 we get:

Area = 2(8*6) + 2(8*4) + 2(4*6)

Area = 2(48) + 2(32)+ 2(24)

Area =96 + 64 + 48

Area = 208 sq. m

Now for calculating price:

Price of paint = 208 * 80

Price of paint = Rs 16,640

I hope it will help you!

5 0

3 years ago

Simplify 2[(9 - 5)^5 / 8]

Alenkinab [10]

2[(9 - 5)^5/8] = 2[4^5/8] = 2[1024/8] = 2[128] = 256

5 0

3 years ago