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Aleksandr [31]
3 years ago
6

Two teams were working together to complete an Escape Room for Ms. Bradshaw. The players scores are totaled to get their finish

time. Elizabeth and Sarah are on a team and completed the escape room in 1.5 hours and 1 and 7/8 hours respectively. Gardner and Matt are on a team and completed the escape room in 9/4 hours and 1.25 hours respectively. Which team did it the fastest and what was their total time?
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

Matt's team

Step-by-step explanation:

Sarah's  team finished in 1 hour and 30 min

Matt's team finished in 1 hour and 15 min

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Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
Marco got a quotient of 70 when he divided 49 by 0.07.
solniwko [45]
The correct answer for this problem is 700. This is because 0.07 is in the hundredths place. Marco got it wrong because he didn't count the place correctly. 
5 0
3 years ago
Please answer it now in two minutes
zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

sin X = \frac{6}{7}

sin X = 0.8571

X = sin^{-1}(0.8571)

X = 58.99

m < X = 59.0 (rounded to nearest tenth)

4 0
3 years ago
Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equa
SIZIF [17.4K]

Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

6 0
2 years ago
Please help check my answers I beg you!!!!!!!
Alchen [17]
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2. (-3,5) x=(-) y=(+)that means that it must to the left and up part of graph, therefor it is the 4th graph

1. it would be the 4th graph that you didn't show because none of the included answers are correct
7 0
3 years ago
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