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svet-max [94.6K]
3 years ago
12

Solve each inequality. 1.

ac{1-7n}{5} " alt=" \frac{1-7n}{5} " align="absmiddle" class="latex-formula">  > 10
Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

First multiply 5 on both sides to get rid of the five on the bottom.

\frac{1-7n}{5*5}>10*5

1-7n>50

Subtract 1 from both sides of the inequality.

1-1-7n>50-1

-7n>49

Divide -7 on both sides, and flip the inequality sign since we are dividing by a negative.

\frac{-7n}{7}>\frac{49}{-7}

n

<u>The solution to the inequality is n<-7.</u>

saveliy_v [14]3 years ago
5 0

Solution, \frac{1-7n}{5}>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

Steps:

\mathrm{Multiply\:both\:sides\:by\:}5, \frac{5\left(1-7n\right)}{5}>10\cdot \:5

\mathrm{Simplify}, 1-7n>50

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}, 1-7n-1>50-1

\mathrm{Simplify}, -7n>49

Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right), \left(-7n\right)\left(-1\right)

\mathrm{Simplify}, 7n

\mathrm{Divide\:both\:sides\:by\:}7, \frac{7n}{7}

\mathrm{Simplify}, n

The correct answer is <u><em>n<-7</em></u>

Hope This Helps!!!

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Answer:

0.10s

Step-by-step explanation:

Given data

DIstance= 6.5ft

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with the parameters given above, we can find the time taken as

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time= distance/velocity

time= 6.5/64

time= 0.10 seconds

Hence the time the ball took is 0.10s

8 0
3 years ago
The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.2
bogdanovich [222]

Answer:

0.4

Step-by-step explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4

5 0
4 years ago
The sum of two numbers is 125. Their difference is 47. The two numbers are:
enyata [817]

Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

7 0
3 years ago
Asa received scores of 72, 97, and 82 on her last three math tests. she needs a mean test score of 82 to qualify for the math te
lara [203]

First step is to find what should be the required total of sum of Score after fourth test, to identify how much more or less she need to score in his fourth test.

Since Mean = (Sum of Scores)/number of test

using above formula we determine what is the required sum of score.

82 = (Sum of Scores)/4

⇒ 82 × 4 = 328

So in four test she should have score total as 328

So Score require in fourth test = Required Score Total - (total score in 3 tests)

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So she need score of 77 to be at mean of 82 after fourth test and get qualify for the team


6 0
4 years ago
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xxMikexx [17]

Answer:

(2,3)

Step-by-step explanation:

8 0
3 years ago
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