2 years ago

5 less than 18 times the number x, is less than of equal to -45. write and inequality for this statement

Mathematics

1 answer:

swat322 years ago

8 0

Answer:

18x-5≤-45

Step-by-step explanation:

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Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl

PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

$5-2=3$

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

$\frac{2}{5}\times 15\\\\=2\times 3\\\\=6$

Number of triangles is needed is given by

$\frac{3}{5}\times 15\\\\=3\times 3\\\\=9$

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

6 0

3 years ago

a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.

ZanzabumX [31]

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.

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2 years ago