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Inga [223]
3 years ago
13

Are 3 : 5 and 1.5 : 2.5 equivalent ratios? How do you know?

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

3:5= 1.5:2.5

Each number is divided or multiplyed by the same number.

Ex. 3/2=1.5 and 5/2=2.5

Hope that helps idk if its right though lol

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HELP!! <br> Simplify 12+3(8+x)
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Answer:

24

Step-by-step explanation:

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What is 1/6 plus 3/8 all together
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\frac{1}{6} + \frac{3}{8} = \frac{1\times 4}{6\times 4} + \frac{3\times 3}{8\times 3} = \frac{4}{24} + \frac{9}{24} = \frac{9+4}{24} = \boxed{\frac{13}{24}}}
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What is the square root of 325 rounded to two decimal places?
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The square root of 325 is 18.03
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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

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\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

.

\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
What does (d+3) represent in 4.5(d+3)=45
Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

<u>Step 1:  Distribute</u>

4.5(d + 3) = 45

(4.5 * d) + (4.5 * 3) = 45

4.5d + 13.5 = 45

<u>Step 2:  Subtract 13.5 from both sides</u>

4.5d + 13.5 - 13.5 = 45 - 13.5

4.5d = 31.5

<u>Step 3:  Divide both sides by 4.5</u>

\frac{4.5d}{4.5} = \frac{31.5}{4.5}

d = 7

<u>Step 4:  Determine what (d+3) is</u>

(d + 3)

(7 + 3)

10

Answer: (d + 3) would be 10

3 0
2 years ago
Read 2 more answers
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