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Tema [17]
2 years ago
11

I want to know how to find EF and what the answer is.

Mathematics
1 answer:
enyata [817]2 years ago
7 0

\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}

Step-by-step explanation:

  • 5x+12=6x+7 (opposite sides of a parallelogram are equal)
  • 12=x+7 (subtract 5x from both sides)
  • x=5 (subtract 7 from both sides)
  • Now put x in any of the equations-- 5(5)+12=37 or 6(5) +7=37
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There are 9 tennis balls in 3 cans. What is the rate of number of tennis balls to number of cans?
garri49 [273]

ivied the total number of tennis balls buy the number of cans to see how many tennis balls are in 1 can

9 divided by 3 = 3

 there are 3 tennis balls per can

 fraction would be 3/1  ( meaning 3 balls to 1 can)

6 0
2 years ago
Answer the math question tysm
kiruha [24]
The answer is 47.5 feet. Hope I helped!
8 0
3 years ago
Read 2 more answers
Dont really understand how to do this
bija089 [108]

Answers:

t_{10} = -22 \ \text{ and } S_{10} = -85

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

Explanation:

t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4

and so on. This process may take a while to reach t_{10}

There's a shortcut. The nth term of any arithmetic sequence is

t_n = t_1+d(n-1)

We plug in t_1 = 5 \text{ and } d = -3 and simplify

t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8

Then we can plug in various positive whole numbers for n to find the corresponding t_n value. For example, plug in n = 2

t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2

which matches with the second term we found earlier. And,

tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}

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

The notation S_{10} refers to the sum of the first ten terms t_1, t_2, \ldots, t_9, t_{10}

We could use either the long way or the shortcut above to find all t_1 through t_{10}. Then add those values up. Or we can take this shortcut below.

Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}

The sum of the first ten terms is -85

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

As a check for S_{10}, here are the first ten terms:

  • t1 = 5
  • t2 = 2
  • t3 = -1
  • t4 = -4
  • t5 = -7
  • t6 = -10
  • t7 = -13
  • t8 = -16
  • t9 = -19
  • t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that S_{10} = -85 is correct.

6 0
2 years ago
Paolo paid $ 28 $ 28 for a hat that was originally priced at $ 35 $ 35 . By what percent was the hat discounted?
devlian [24]

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

5 0
2 years ago
Marcus purchased 75 shares of stock a year after the purchase the stock the valley of the cost is $2 less per share write a mult
lesya692 [45]
(2×70)+(2×5)=140+10=150. Think this work
5 0
2 years ago
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