Answer:
q = 5/6
Step-by-step explanation:
First, we distribute.
16q - 10 = 4q
Then, we combine like terms.
-10 = 4q - 16q
-10 = -12q
Finally, we divide -12 on both sides.
5/6 = q, or q = 5/6
Hope this helps ^^
Complete Question
Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.
Answer:
<em>Inequality: </em>70 + 0.05x < 80
<em>Solution: </em>x < 200
Step-by-step explanation:
Let x represents the minimum number of SMS.
If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x
Considering that she pays a flat rate of $70.
The inequality to represent the minimum number of SMS she needs to send is:
70 + 0.05x < 80
To solve this inequality, follow the following steps
Collect like terms
0.05x < 80 - 70
0.05x < 10
Divide through by 0.05
0.05x/0.05 < 10/0.05
x < 10/0.05
x < 200
The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.
Answer:
Explanation:
<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>
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<u>2) Write the expression to show the average daily change in temperature.</u>
The average of a set of data is calculated with the expression:
- Average = (sum of the data) / amount of data
Hence, you need to add the four change of temperature data and divide by 4.
The expression is:
- Average = [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4
<u>3) Write the steps to solve the expression:</u>
You can choose between adding fractions or adding the decimal forms of the numbers.
If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.
These are the steps.
<u>a. Find the decimal forms of the fractions:</u>
<u>b. Add the four data:</u>
- 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C
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<u>c. Divide the sum by the number of data (4)</u>
- 0.32019 °C / 4 ≈ 0.080004 °C
<u>4. Round to the nearest hundredth</u>
The place of the hundreth is the second after the decimal point, which is 8 in this case:
Answer:Lines HF and DE
Step-by-step explanation:
So the problem ask on which of the following in your choices is the coordinates of the image produced by applying the composition and rotations and based on that, the answer would be letter A. (-5,4) because the total rotations is 360 so its still the same
