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Elanso [62]
2 years ago
11

Luke and Lena's parents allow them to borrow against their allowances. The ineguality − $ 11.50 < − $ 10.75 compares the curr

ent balances they have with their parents. Luke has a greater debt with his parents than Lena has. How much does Luke owe his parents? Explain.
Mathematics
1 answer:
Leto [7]2 years ago
7 0

Answer:

$11.50

Step-by-step explanation:

I believe that $11.50 is the amount that Luke owes to his parents because their parents let them go beyond their allowances. Right now Luke is at debt for $-11.50 and has to pay their parents $11.50.

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The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r
saul85 [17]

Width of the rectangle is 9 units

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

(x + 6)(x - 9) = 0

x = -6, 9 (negative value is neglected)

x = 9 units

4 0
2 years ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
Round 545,999 to the nearest hundred thousand
Gnom [1K]
545,999 rounded to the nearest hundred thousand is 546,000.
6 0
2 years ago
When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.
Savatey [412]
<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

 By properties of powers, if you have the same base, you can substract the exponents. Then:

 =(</span>27x^2)z/(-3x^2)(z^6)
 =-9z/z^6  (As you can see: x^2-2= x^0=1)
 =-9/z^5    (Then, z^6-1=z^5)
<span>
 Therefore, the answer is: The exponent on the variable z is 5.</span> 
7 0
2 years ago
State which of the following sets of ordered pairs represent a function.
anastassius [24]

Answer:

d. Set A and Set B

Step-by-step explanation:

We have been given three sets:

Set A: (5, 2), (4, 3), (3, 4), (2, 5)

Set B: (-1, -6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8, 4)

Now we need to state about which of the following sets of ordered pairs represent a function.

We know that a function can't have repeated values in domain that is x-value can't repeat.

we see that set C has repeated x-value "2".

Then set C is not a function.

Hence correct choice is:

d. Set A and Set B

8 0
2 years ago
Read 2 more answers
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