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Mathematics

1 answer:

Reptile [31]3 years ago

7 0

Since 1sand=3.5compost you can set up the ratio 1/3.5 or 1 sand for every 3.5 compost. If you change the number of sand to three, then you multiply the top by three since 1*3=3. To keep the mixed number equal you would have to multiply the bottom number by three as well. This means that you can multiple all the sand by 3.5 to get how much compost is needed.

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Fill in the blank (correctly). 20 points each.

lyudmila [28]

Distributing same key numbers

7 0

3 years ago

1. What should be added to 2p - q + r to make it p + q - 2r? -

ASHA 777 [7]

Answer:

-p + 2q - 3r

Step-by-step explanation:

(p + q - 2r) - (2p - q + r)

= p + q - 2r - 2p + q - r

= -p + 2q - 3r

6 0

3 years ago

In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x + 10, what is the measure of angle 2?

Dmitry_Shevchenko [17]

Thank you for posting your question here at brainly. The answer to the above question is the first one in the choices which is 15. Below is the solution:

3x + 10 = 55
Subtract 10 from each side...

3x = 45
Divide by 3...

x = 15

5 0

3 years ago

Read 2 more answers

Sonbull [250]

Answer:

$x=\boxed{6.6}$

$\overline{\sf DE}=\boxed{13.2}\:\:\sf units$

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

$\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}$

From inspection of the given diagram:

altitude = FD = 9
segment 1 = CD = 5
segment 2 = DE = $2x+3$

$\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}$