A piece of cardboard measuring 16 inches by 11 inches is formed into an open-top

Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E

aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

$5+2.5x=35$

Subtracting both side by 5 we get;

$5+2.5x-5=35-5\\\\2.5x=30$

Dividing both side by 2.5 we get;

$\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12$

Hence Kim had bought 12 sandwiches.

3 0

3 years ago

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th

taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0518

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

$n = 27, s = 21.4$ . So

$M = 2.0518\frac{21.4}{\sqrt{27}}$

$M = 8.45$

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0

3 years ago

What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.

valentinak56 [21]

Answer:

W = 882 N

Step-by-step explanation:

Given that,

The weight of a person, W = 90 kg

The value of acceleration due to gravity, g = 9.8 m/s²

We need to find the weight of the person on Earth. The formula for the weight of an object is given by :

W = mg

Substitute all the values,

W = 90 kg × 9.8 m/s²

W = 882 N

So, the weight of the person is equal to 882 N.

8 0

3 years ago

You have been asked to find the inverse of f (x) = 3+Vx - 1. What would your

Paha777 [63]

Answer:

Add 1 to both sides of the equation.

Subtract 3 from both sides of the equation.

Step-by-step explanation:

The inverse of a function refers to that function that tends to undo another function.

If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

8 0

3 years ago

−4+8x)+3>x−4? x>16 x<−1 x<−323 x>433

pentagon [3]

Answer:

x > 4/33

Step-by-step explanation:

(-4 +8x) +3> x/-4

8x - 1 > x/-4

-32x + 4 < x

4 < 33x

4/33 < x

6 0

3 years ago