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eimsori [14]
2 years ago
11

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 660 seats, which was 55% o

f the total number of seats in the theater. How many total seats were in the theater?
Mathematics
1 answer:
Elan Coil [88]2 years ago
7 0

Answer:

1200 seats

Step-by-step explanation:

<u>  x  </u>  =  <u> 660 </u>

100        55

55x = 66,000

x = 1200

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A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
2 years ago
Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
krok68 [10]

Answer:

$6.76

Step-by-step explanation:

Multiply 8.45 by 0.8 and you will get 6.76

5 0
2 years ago
Read 2 more answers
The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act
stealth61 [152]

Answer:  0.2551

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.

Significance level : \alpha=1-0.95=0.05

The critical z-value for 95% confidence : z_{\alpha/2}=1.960 (1)

Since , z=\dfrac{x-\mu}{\sigma} (where x be any random variable that represents the temperature reading from a thermocouple.)

Then, from (1)

\dfrac{x-\mu}{\sigma}=1.96\\\\ x-\mu=1.96\sigma     (2)

Also,  all readings are within 0.5° of μ,

i.e. x-\mu

i.e. 1.96\sigma   [From (2)]

i.e. \sigma  

i.e. \sigma\approx0.2551

The required standard deviation : \sigma=0.2551

3 0
2 years ago
A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If
Alika [10]

Let

a--------> the total cost in dollars of 6 ounces of coconut oil

b--------> the total cost in dollars of 5 ounces of beeswax

we know that

a=0.50 \frac{\$}{ounce}*6=\$3

b=2.00 \frac{\$}{ounce}*5=\$10

therefore

<u>the answer is</u>

the total cost in dollars of 6 ounces of coconut oil is a=\$3

the total cost in dollars of 5 ounces ofbeeswax is b=\$10

7 0
2 years ago
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The term "elevation" is often used to describe the height of a place (such as a city, a mountain, or a valley) compared to sea l
Alecsey [184]

Answer:

obviously they will produce same output because the elevation of object and image will be same

7 0
2 years ago
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