Nathan's total allowance is $11.25 ; amount deposited is $8.75
Given:
Savings = 7/9 of his allowance
Excess = $2.50 or 2/9 of his allowance
to get the amount deposited, we need to first get the total allowance.
2.50 ÷ 2/9 ⇒ 2.50 * 9/2 = 22.5/2 = 11.25
Total allowance = 11.25
amount to be deposited: 11.25 * 7/9 = 78.75/9 = 8.75
The LCM of 3 and 4 is 12.
I hope this helps and have a good night! :D
Here is the completed table:
Has pet Has no pet Total
7th grade 102 48 150
8th grade 107 68 175
Total 209 116 325
<h3>What is a two-way table?</h3>
A two way table is used to show the frequency of two categorical variables. Information are usually presented in rows and columns.
- The 7th grade students that have no pets = 150 - 102 = 48
- The 8th grade students that have pets = 175 - 68 = 107
- Total students that have pets = 102 + 107 = 209
- Total students that have no pets = 48 + 68 = 116
- Total = 209 + 116 = 325
Please find attached the table. To learn more about addition, please check: brainly.com/question/19628082
<h3>
Answer: 102.5 degrees</h3>
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Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.