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lilavasa [31]
3 years ago
6

I have a number between 60 and 80. I have a remainder of 3 when divided by 4. I have a remainder of 1 when divided by 7. What nu

mber am I?
Thanks
Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

71

Step-by-step explanation:

Divide 71 by 7 and you get 10 and 1 leftover. Divide 71 by 4 and you get 17 with 3 leftover.

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Which table shows the correct methods used to justify the solution steps?
EleoNora [17]

Answer:

x = 8

Step-by-step explanation:

Step 1 : Simplify the equation

3(x-5) + 7x = 65

3x - 15 + 7x = 65

Step 2 : Make x the subject

3x + 7x = 65 + 15

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x = 80/10

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In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Find the perimeter of the figu
nasty-shy [4]

Answer:

<em>P= 5.5 cm</em>

Step-by-step explanation:

<u>The Perimeter of Plane Shapes</u>

If we are given a plane shape, the perimeter is the measurement of the boundary of it. In case the shape is made of lines, the perimeter is the sum of the lengths of all of them.

We are given an irregular shape, we only need to add all the sides. But we don't have all the individual sides. Let's write the expression for the perimeter.

P=AE+ED+DC+CB+BA

We have: AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Note we don't have AE or DC, but we have their sum, so

P=AE+DC+ED+CB+BA

Recall that AB=BA, the order of the letters is not important. The perimeter is

\displaystyle P=1\frac{1}{5}+1\frac{1}{4}+1\frac{3}{10}+1\frac{3}{4}

We add the integer parts separate from the fractions

\displaystyle P=4+\frac{1}{5}+\frac{1}{4}+\frac{3}{10}+\frac{3}{4}

Now we use the common denominator (Least Common Multiple or LCM ) which is 20:

\displaystyle P=4+\frac{4+5+6+15}{20}

Operating

\displaystyle P=4+\frac{30}{20}

Simplifying

\displaystyle P=4+\frac{3}{2}

\displaystyle P=\frac{11}{2}=5.5\ cm

5 0
3 years ago
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