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ss7ja [257]
2 years ago
12

Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write t

he fraction in simplest fractional form.)
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0
4/5 acres of the land were sold.
40* 1/2 = 20
20* 3/5 = 12
12+20= 32
32/40 = 4/5 simplified
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At a dinner, the meal cost $22, plus a sales tax of $1.87 was added to the bill, for a total of $23.87. What would the sale tax
Sunny_sXe [5.5K]
$5.61
1.87/22= .085
.085•66=5.61
5 0
3 years ago
Yuki bought a pound of confetti for 12$. What is the price, in dollars, per ounce of confetti?
Likurg_2 [28]

Answer:

Yukio will pay $2 per ounce for the confetti

Step-by-step explanation:

Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2

6 0
2 years ago
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia
elena-14-01-66 [18.8K]

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

7 0
2 years ago
Omg pls help ill give you 20 points
ElenaW [278]

Answer:

Step-by-step explanation:

Amount of water in tank 1 = amount of water in tank 2

30t +25  = -20t + 1000

Add 20t to both sides

30t + 20t + 25 = -20t + 20t + 1000

50t + 25 = 1000

Subtract 25 from both sides

50t + 25 - 25 = 1000 - 25

50t = 975

Divide both sides by 50

t = 975/50 = 39/2

  = 19 \frac{1}2}

t = 19 minutes 30 seconds

After 19 1/2 minutes both tanks will have 610 liters of water

5 0
2 years ago
I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 l
jarptica [38.1K]
I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
<span>
Therefore:

n</span>₂ = 9 - n₃
<span>
Therefore:

9 - n</span>₃ = 1/2 * n₃
<span>
9 = 1/2 * n</span>₃ + n₃
<span>
9 = 1.5 * n</span>₃
<span>
Therefore:

n</span>₃ = 6
<span>
If n</span>₃=6, n₂=3.
<span>
This means that:

</span>n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611
3 0
3 years ago
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