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3 years ago

Need Help Fast!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

7.2, 3, 8.09, 2.22, 5.06, 2.5

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A rope that is 245 cm long is cut into three pieces. The ratio of the lengths of the first piece to the second piece is 2:3, and

Olin [163]

Answer:

The length of longest piece is 105 cm.

Step-by-step explanation:

Given:

Rope is 245 cm long.

Ratio of lengths of first to second piece = 2:3.

Ratio of lengths of second to third piece = 4:5.

To find:

Length of longest piece = ?

Solution:

We are given the ratio of first and second pieces AND

ratio of second and third pieces.

Common link is second piece.

We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.

2:3

4:5

Multiply 1st ratio by 4 and 2nd ratio by 3:

Now, the ratio becomes:

8:12 and 12:15

And the ratio of three pieces can be represented as:

8: 12: 15, this ratio is the first piece: second piece: third piece

$\Rightarrow 8x+12x+15x = 245\\\Rightarrow 35x = 245\\\Rightarrow x = \dfrac{245}{35}\\\Rightarrow x = 7$

So, the pieces lengths will be

First piece = $8 \times 7 = 56$ cm

Second piece = $12 \times 7 = 84$ cm

Third piece = $15 \times 7 = 105$ cm

So, the length of longest piece is 105 cm.

7 0

4 years ago

Help. PLSSS HELP ‍♀️Solve algebraically for x: -2/3 (x+12)+2/3x= -5/4x+2

Eddi Din [679]

X=8 is the correct answer :)

5 0

3 years ago

Pls help this is due today

Viktor [21]

Answer:

Option C sounds correct to me.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest?

6 0

3 years ago

Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6

Ber [7]

Question:

Yuet solved the equation $6a - 2b = 12$ for a.

Her steps are shown below.

1. Subtract 2b: $6a = 12 - 2b$

2. Divide by 6: $a = 2 - \frac{b}{3}$

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: $6a = 12 + 2b$

2. Divide by 6: $a = 2 + \frac{b}{3}$

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

4 0

3 years ago

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A bakery has 40 different flavored muffins

GarryVolchara [31]

Answer:

nice

Step-by-step explanation:

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3 years ago