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KiRa [710]
3 years ago
11

Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 tags and Gus had completed 10 4/5 laps.

Franklie wrote the inequality 10 7/10 > 10 4/5 to show who swam the longest distance Was he correct? Explain your answer by describing where the numbers would be positioned on a number line.​
Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

Step-by-step explanation:

10 4/5 = 10.8

10 7/10 = 10.7

Frankie did not swim the longest distance.

Gus did.

10.8>10.7

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What value of x makes the equation 3(x - 6) - 8x = -2 + 5(2x + 1) true ?
Romashka-Z-Leto [24]

Answer:

x = -3

Step-by-step explanation:

3(x - 6)= -2 + 5(2x + 1)

= 3x - 18 = -2 + 10x + 5

= -18 = -2 + 7x + 5

= -18 = 7x + 3

= -21 = 7x

= -3 = x

= x = -3

5 0
2 years ago
Angle M and Angle N are vertical angles. The measure of Angle M is 3x – 18. The measure of Angle N is x + 30.
torisob [31]

Answer:

24 = x

54° = Measure\:of\:Angle\:N

54° = Measure\:of\:Angle\:M

Step-by-step explanation:

Vertical Angles are congruent, so set the two expressions equal to each other:

[x + 30]° = [3x - 18]°

-[3x]° - [3x]°

___________

−18° = 30° - [2x]°

- 30° - 30°

____________

−48° = [−2x]°

____ ___

−2° −2°

24° = x [Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]

I am joyous to assist you anytime.

5 0
3 years ago
A company that makes​ hair-care products had 4,000 people try a new shampoo. Of the 4,000 ​people, 28 had a mild allergic reacti
lyudmila [28]

Answer:

0.007%

Step-by-step explanation:

4000/28=0.007%

7 0
3 years ago
WILL GIVE BRAINLIEST!
Vsevolod [243]

Step-by-step explanation:

the answer to your question with roster method is

(-5,-4,-3,-2 and -1)

8 0
2 years ago
Felix's parents opened a savings
Crazy boy [7]

The money in the Felix's account will be $6798 when he is 21.

<u>Step-by-step explanation:</u>

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

<u>To find the money in Felix's account after 21 years :</u>

The formula used here is,

⇒ A = P(1+r/n)^{nt}

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ 2000(1+0.06/1)^{21\times 1}

⇒ 2000(1.06)^{21}

⇒ 2000\times3.399

⇒ 6798

Therefore, The money in the Felix's account will be $6798 when he is 21.

4 0
3 years ago
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