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alex41 [277]
3 years ago
10

A box covers an area of 6 1/2 in2 when resting on its base. The volume of the box is 45 1/2 in3.

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

A- Volume divided by the base area will give you the height

D- Basically the area which is 6 1/2

(I am not sure about E, but I don't think E is correct)

Hope this helps, sorry for being late.

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Match each variable with what it represents in a sequence formula. 1. r the value of the first term 2. d the value of the nth te
irakobra [83]

Answer:

r is the common ratio (in geometric sequence)

d is the common difference (in arithmetic sequence)

n is the term number

a1 is the value of the first term

an is the value of the nth term

Step-by-step explanation:

arithmetic sequence formula:

an=a1+d(n-1)

geometric sequence formula:

an=a1•(r)^(n-1)

8 0
3 years ago
Reduce to lowest terms: -5/8 divided by 1/4. PLEASE HELP!!
Wewaii [24]
- \frac{5}{8} \div  \frac{1}{4} \\ \\ - \frac{5}{8} \times 4 \\ \\ - \frac{20}{8} \\ \\ - \frac{5}{2} \\ \\ Answer: \fbox {-5/2} \ or \ \fbox {-2.5}
4 0
3 years ago
Read 2 more answers
Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.
Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0
3 years ago
Z=y/xm , solve for x
fgiga [73]

Answer:

y/mz

Step-by-step explanation:

7 0
3 years ago
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