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shutvik [7]
3 years ago
8

If the measure of angle ABD is 100, what is the measure of angle ABC

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

i dont know. Im sorry about that.

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Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
givi [52]

Answer:

19 quarters and 13 nickles

Step-by-step explanation:

You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40

How many nickels and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters

Coin Total Equation → n + q = 32

Step 2: Rearrange Coin Total Equation in terms of nickels (n)

n = 32 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:

0.05(32 - q) + 0.25q = $5.40

0.05(32) - 0.05(q) + 0.25q = $5.40

1.6 - 0.05q + 0.25q = $5.40

1.6 + (0.25 - 0.05)q = $5.40

1.6 + 0.2q = $5.40

Step 4: Subtract 1.6 from each side of the equation to isolate q

1.6 - 1.6 + 0.2q = $5.40 - 1.6

0.2q = 3.8

Step 5: Divide each side of the equation by 0.2 to isolate q

0.2q

0.2

=

3.8

0.2

q = 19

Step 6: Using our value for q, Solve for n using our Coin Total Equation:

n + 19 = 32

Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19

n = 13

Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40

8 0
2 years ago
In 1989, Dutch ice skater Dries van Wijhe skated 200 km at an average speed of 35.27 km/h. How long was he skating?
PolarNik [594]
Divide
200 by 35.27
You get 5.67 hours
8 0
3 years ago
Pick the number that will make the following expression true.​
Arisa [49]

Answer:

78 i believe

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
quezlet: A survey of​ third- to​ twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour
Maurinko [17]

Answer:

Population is all students from grades 3-12.

Sample is the students who participated in the survey.

Step-by-step explanation:

Given : A survey of​ third- to​ twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour and 46 minutes per day to using entertainment media.

To find : Identify the population and the sample.

Solution :

The population is defined as it contain all individuals which we want to collect the information.

So, the population consists of all third- to twelfth grade students.

Therefore, Population is all students from grades 3-12.

The sample is defined as a part of population of which information was actually collected.

So, the sample is only the respondents in the survey conducted in 2026.

Therefore, Sample is the students who participated in the survey.

6 0
3 years ago
-2(n+3 = -12
Blizzard [7]

Answer: n=3

Step-by-step explanation:

Divide by - 2

(N+3) = 6

Subtract 3

N= 3

6 0
2 years ago
Read 2 more answers
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