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Damm [24]
3 years ago
9

What is the 10th term in the pattern with the formula 5n + 100?

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
Easy
first term is n=1
so 10th term is n=10

5(10)+100=50+100=150

150 is 10th term
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The coach pays $72 for 18 hamburgers. What is the cost per hamburger? What math concept do you use to solve the problem?
Talja [164]

Answer:4

Step-by-step explanation:

you divide 72 by 18.

5 0
3 years ago
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Theo, Nancy, and Mary each drove separately to meet at Approximately how
Step2247 [10]

Mary's house is approximately 49.73 miles from her grandmother's house.

The distances the three drove were;

Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.

Explanation:

  • The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
  • Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
  • Nancy drove √2,840 miles = 53.2916 miles.
  • So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.

8 0
3 years ago
Read 2 more answers
Susan’s stylist has done a great job of coloring her hair. She wants to leave a 20 percent tip. If the bill was $150, how much s
irina [24]
0.20(150) = 30....her 20% tip would be 30 bucks
6 0
3 years ago
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3. Shannon said she can find the factored form of a trinomial of the form
vovikov84 [41]

Answer:

To make it trinomial it has to be ax²+bx+c

8 0
2 years ago
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
anyanavicka [17]
<h3>Answer:  5/14 gallons</h3>

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

8 0
3 years ago
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