Only if the individual doing the calculation makes a substantial mistake.
Any fraction with the same quantity in the numerator and denominator
always has the value of ' 1 ', (provided only that the quantity is not zero).
Answer:
Start of the year: 77 End of the year: 87
Step-by-step explanation:
1 dot equals the number represented below, so I multiplied up to the answers for both! (Hope you pass ur test :D)
Answer:
A) p = 6
Step-by-step explanation:
Given equation:
3(p - 5) = 5p -27
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Apply the <u>Distributive Property of Multiplication over subtraction law</u>:
⇒ 3 · p - 3 · 5 = 5p - 27
⇒ 3p - 15 = 5p - 27
Add 27 to both sides:
⇒ 3p - 15 + 27 = 5p - 27 + 27
⇒ 3p + 12 = 5p
Subtract 3p from both sides:
⇒ 3p - 3p + 12 = 5p - 3p
⇒ 12 = 2p
⇒ 2p = 12
Divide both sides by 2:
⇒ 2p ÷ 2 = 12 ÷ 2
⇒ p = 6
Answer:
The perimeter is 112 m
Step-by-step explanation:
The perimeter is the sum of all the edges
26+ 12 + 18 +? + ?+ 30
The two question marks add to 26 so replace them with 26
26+ 12 + 18 +26+ 30
112
The perimeter is 112 m
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence, 
Volume of smaller prism is given as:
Volume of larger prism is given as;
![V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]](https://tex.z-dn.net/?f=V_2%3Dl_2b_2h_2%5C%5C%5C%5CV_2%3D3l_1%5Ctimes%203b_1%5Ctimes%203h_1%5C%5C%5C%5CV_2%3D27%28l_1%20b_1h_1%29%5C%5C%5C%5CV_2%3D27%5Ctimes%2060%3D1620%5C%20cm%5E3%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20l_1b_1h_1%3D60%5C%20cm%5E3%5D)
Therefore, the volume of the larger rectangular prism is 1620 cm³.
