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vivado [14]
3 years ago
9

Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that

represents by what Laura shaded write the decimal number represented by what billy shaded compare the numbers with either <,>,or=
Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

Laura = 0.60

Billy = 0.50

0.60 > 0.50

Step-by-step explanation:

Given

Laura = 60\ shades

Billy = 50\ shades

Required

Represent using decimal number and compare

From the question, we understand that there are 100th grids;

So:

Laura = \frac{60}{100}

Laura = 0.60

Billy = \frac{50}{100}

Billy = 0.50

Comparing both decimals;

Since 0.60 is greater than 0.50, we have:

0.60 > 0.50

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Find one value of x that is a solution to the equation:<br>(x^2– 8)^2 + x^2 – 8 = 20<br>x=​
Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

8 0
3 years ago
Multiply and simplify: –3x2y2 • x4<br> –3x5y2<br><br> 9x5y2<br><br> –3x6y2<br><br> –3x5y6
Contact [7]

Answer:

Multiplying and simplifying the term -3x^2y^2 \:.\: x^4 we get \mathbf{-3x^6y^2}

Option C is correct option.

Step-by-step explanation:

We need to multiply and simplify: -3x^2y^2 \:.\: x^4

Simplifying the term:

-3x^2y^2 \:.\: x^4

While multiplying, the variables with same bases are multiplied: a^m\:.\:a^n=a^{m+n}

In the given question only x^2 and x^4 are variables with same bases, So we get:

=-3(x^{2+4})y^2\\=-3x^6y^2

So, multiplying and simplifying the term -3x^2y^2 \:.\: x^4 we get \mathbf{-3x^6y^2}

Option C is correct option.

4 0
3 years ago
What is k<br><br> k + 2 = 75
Lisa [10]

Answer:

k=73

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(0,6) (-4,-9)
Olegator [25]

Answer:

d=√(16+225)

d=√241

d=15.5

I would appreciate if my answer is chosen as a brainliest answer

6 0
2 years ago
Explain how 17.526 could be rounded to both 18 and 17.5.
Alchen [17]

Answer:

Step-by-step explanation:

If you round it to the nearest whole number, then 17.526  becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.

If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.

Hope this helps!

4 0
2 years ago
Read 2 more answers
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