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Brrunno [24]
3 years ago
11

Joe decides to take his six year old son to the planetarium. The price for the child's ticket is 5.75 dollars less than the pric

e for the adult's ticket. If you represent the price for the child's ticket using the variable "x", how would you write the algebraic expression for the adult's ticket price?
Mathematics
2 answers:
Anna007 [38]3 years ago
6 0
Okay, we know the price of the child's ticket (x), which is 5.75 dollars less than the adult's ticket.
Let's say that the price of the adult's ticket is a. Since the child's ticket is 5.75 less that the adult's ticket, we can write it this way:
a = 5.75 + x
mixas84 [53]3 years ago
4 0
Hey! The answer is a=5=x
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What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?
adoni [48]
Combine like-terms
-2.1x and 4.9x = 2.8x
3.7 and 5 = 8.7
2.8x + 8.7 is your final answer.
3 0
3 years ago
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PLEASE HELP - Part A Find the value of x in the following figure: Part B Find the measure of ACD
Margarita [4]

Answer:

Part A = 90

Part B = 145

Step-by-step explanation:

For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.

5 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o
krok68 [10]

Answer:

a) 99.7% of the widget weights lie between 45 and 75 ounces

b) 97.2% of the widget weights lie between 50 and 75 ounces

c) 84% of the widget weights lie above 55

Step-by-step explanation:

The Empirical Rule states that:

50% of the values of a measure is above the mean, and the other 50% is below the mean.

99.7% of the values of a measure lie between 3 standard deviations of the mean.

95% of the values of a measure lie between 2 standard deviations of the mean.

68% of the values of a measure lie between 1 standard deviations of the mean.

In this problem, we have that: The widget weights have a mean of 60 ounces and a standard deviation of 5 ounces.

(a) 99.7% of the widget weights lie between

3 standard deviations of the mean, so:

60 - 3*5 = 60 + 3*5 = 45 and 75 ounces

(b) What percentage of the widget weights lie between 50 and 75 ounces?

We have to find the percentage that are below 75 and subtract by the percentage that are below 50. So

75 is 3 standard deviations above the mean. So 99.7% of the measures are below 75.

50 is 2 standard deviations below the mean. So only 5% of the measures that are below the mean are below 50.

So

99.7% - (50%)5% = 99.7% - 2.5% = 97.2%

(c) What percentage of the widget weights lie above 55?

55 is one standard deviation below the mean.

50% of the widget weights are above the mean.

Of the 50% that is below, 68% lie between one standard deviation(So from 55 to 60)

So

50% + 68%(50%) = 84%

3 0
3 years ago
Why is it not possible to write the equation of the line through (-8,-5) and (-8,-9) in slope intercept form?
Natalija [7]

Answer:

The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Step-by-step explanation:

We know the slope-intercept form of line equation is

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-8,-5)
  • (-8,-9)

Finding the slope between (-8,-5) and (-8,-9)

(x₁, y₁) = (-8,-5)

(x₂, y₂) = (-8,-9)

slope = m = (y₂-y₁) / (x₂-x₁)

                = -9 - (-5) / -8 - (-8)

                = -9+5 / -8+8

                = -4 / 0

                = ∞

Thus, the slope = m = ∞

  • The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

In other words, whatever the value of y is, the x-value always remains constant.

In other words, the line will be vertical and the slope of a vertical line will be undefined.

Thus, the equation of this line is:

x = -8

The line graph is also attached.

Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

7 0
2 years ago
8/1000 as a decimal? 0.008 did I do that correctly??​
barxatty [35]

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  9:23 pm CST

Answer:  

0.008

Explanation:

When wanting to get a decimal out of a fraction. Just divide the fraction. Ex. <em>8/1000 = 0.008</em>

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

8 0
2 years ago
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