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lorasvet [3.4K]
3 years ago
13

A teacher asked his students to solve the equation w-15=22. One student incorrectly said that the solution is 7. What is the cor

rect solution?
Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

w= 37

Step-by-step explanation:

The student used the wrong property of equality.

When you undo a number to get a letter by itself, you should do the opposite operation of the number said. The student subtracted 15 from 22 instead of adding 15 to 22.

Use the addition property of equality to isolate w.

w(-15+15)=22+15\\w=37

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Correct answer will get Brainlist! :)
FinnZ [79.3K]

Answer:

c or b

Step-by-step explanation:

3 0
3 years ago
In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: m∠A = α
hodyreva [135]

Answer:

Given:

m∠C = 90°, because ∠C is a right angle.

m∠D = 90°, because CD is the height to AB.

m∠A = α

Since the sum of angles in a triangle is 180°, therefore

m∠DBC + 90° + α = 180°

m∠DBC = 90° - α

Again, for the same reason,

m∠DCB + m∠DBC + 90° = 180°

m∠DCB + 90° - α + 90° = 180°

m∠DCB = α

For the same reason,

m∠ACD + 90° + α = 180°

m∠ACD = 90° - α

m∠ADC = 90° (by definition)

m∠CDB = 90° (by definition)

Answer:

m∠DBC = 90° - α

m∠DCB = α

m∠CDB = 90°

m∠ACD = 90° - α

m∠ADC = 90°

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking. How much butter was lef
8_murik_8 [283]

Answer:

\dfrac{5}{8} butter was left after she was done baking.

Step-by-step explanation:

Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking.

We need to find how much butter was left after she was done baking.

It can be calculated as follows,

Left =

=\dfrac{7}{8}-\dfrac{1}{4}\\\\=\dfrac{7}{8}-\dfrac{2}{8}\\\\=\dfrac{7-2}{8}\\\\=\dfrac{5}{8}

Hence, \dfrac{5}{8} butter was left after she was done baking

3 0
3 years ago
Faith is tracking the number of burpees she does at a constant rate. Last
bija089 [108]
This is a unit rate question. We can solve this in chronological order of steps:

Step 1: Write out the beginning for the first unit rate.

Faith completed 60 burpees in 5 minutes last week.

Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.

60 divided by 5 equals 12.
5 divided by 5 equals 1.

Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.

Step 3: Find the unit rate for this week.

Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.

78 divided by 6 equals 13.
6 divided by 6 equals 1.

Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.

Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.
6 0
2 years ago
What is the sixth term of this sequence 1, 7, 49, 343, , 16,807?
bixtya [17]
Sequence: 1,7,49,343,??,16807, 7th term, 8th....

we notice that:

1st term = 1 or 7^0

2nd term = 7 or 7^1

3rd term =49 or 7^2

4th term = 343 or 7^3

5th term = ?? or 7^4 (=2401)

6th term = 16807 or 7^5

7th term = 117 647 or 7^6


nth term = (7)^(n-1)
7 0
4 years ago
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