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Ainat [17]
3 years ago
9

find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth.

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
2a,2a+2,2a+4,2a+6,2a+8-\ \ five\ consecutive\ even\ integers\\\\
2a+2a+8+2=3(2a+6)\\\\
2a+2a+10=6a+18\\\\
4a+10=6a+18\ \ \ |Subtract\ 4a\\\\
10=2a+18\ \ \ |Subtract\ 18\\\\
10-18=2a\\\\
-8=2a\ \ \ |Divide\ by\ 2\\\\
a=-4\\\\
\boxed{Numbers:\
-4,-2,0,2,4}
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What is the least common denominator of 1/5a +1=3/10
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2 years ago
Im having difficulty pls help me as soon as possible bc im about to have a nervous break down thanks
ElenaW [278]

Answer:

A: 85%, 2\frac{1}{5}, 3.24,  \frac{19}{4}

B: covert numbers into percent

Step-by-step explanation:

<u>Part A</u>

We have:

\frac{19}{4}, 2\frac{1}{5}, 85%, 3.24 --> let's convert them into percentages like the 85, to determine which one is greatest/least:

85% --> 85% (already a percent)

 \frac{19}{4} --> to convert into percent: (19÷4) x 100 = 475%

2\frac{1}{5} --> convert first into improper fraction then into percent: (11/5) x 100 = 220%

3.24 --> multiply by 100: 3.24 x 100 = 324%

From least to greatest: 85%, 220%, 324%, 475%

= 85%, 2\frac{1}{5}, 3.24,  \frac{19}{4}

Part B:

In part A, to determine the numbers from least to greatest, we rewrote the numbers all into percentage form by first converting into decimal form and then multiplying by 100.

7 0
1 year ago
I need help. So it says to find the shaded area, and I'm not really good a things like this
krek1111 [17]

Answer:

86 cm²

Step-by-step explanation:

<u>1) Calculate the area of the square</u>

A=lw\\A=20*20\\A=400

Therefore, the area of the square is 400 cm².

<u>2) Calculate the area of the circle</u>

A=\pi r^2\\

\pi we can substitute with 3.14. To find the radius, we divide the diameter of the circle by 2. 20 cm is the diameter of the circle, so therefore, its radius is 10 cm.

A=3.14*10^2\\A=3.14*100\\A=314

Therefore, the area of the circle is 314 cm².

<u>3) Subtract the area of the circle from the area of the square</u>

A=400-314\\A=86

Therefore, the area of the shaded region is 86 cm².

I hope this helps!

3 0
3 years ago
Read 2 more answers
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