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Alina [70]
3 years ago
10

Consider the inequality -5(x+7)<-10

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

\bold{Answer}

\boxed{\bold{X \ > \ -5}}

\bold{Explanation}

  • \bold{Solve: \ -5\left(x+7\right)

\bold{-------------------}

  • \bold{Multiply \ Both \ Sides \ By \ -1 \ (Reverse \ Inequality)}

\bold{\left(-5\left(x+7\right)\right)\left(-1\right)>\left(-10\right)\left(-1\right)}

  • \bold{Simplify}

\bold{5\left(x+7\right)>10}

  • \bold{Divide \ Both \ Sides \ By \ 5}

\bold{\frac{5\left(x+7\right)}{5}>\frac{10}{5}}

  • \bold{Simplify}

\bold{x+7>2}

  • \bold{Subtract \ 7 \ From \ Both \ Sides}

\bold{x+7-7>2-7}

  • \bold{Simplify}

\bold{X \ > \ -5}

\boxed{\bold{Eclipsed}}

Liula [17]3 years ago
5 0

Answer:

x > -5

Step-by-step explanation:

-5(x+7)<-10

Divide each side by -5.  Remember that means to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7 > 2-7

x > -5

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I need help what's my equation for the picture below.
Leokris [45]
228-12.50*2=x*10
228-25=10x
203=10x
Divide both sides by 10 and it is:
20.3=x

The price of each ticket is $20.30

Hope this helps :)
4 0
4 years ago
Each week samantha can pay as much as $15 for her school lunch. Write an inequality showing how much samantha spends on lunch.
Annette [7]

Answer:

x\leq \$15

Step-by-step explanation:

Let

x------> amount of money that Samantha spends weekly on her school lunch

we know that

The inequality that represent this situation is

x\leq \$15

All positive real number less than or equal to 15

5 0
3 years ago
A company has 31 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effecti
kvv77 [185]

Answer:

31465 ways

Step-by-step explanation:

Given data

Let us apply the combination formula

nCr = n! / r! * (n - r)!

n= 31

r= 4

substitute

= 31!/4!(31-4)!

= 31!/4!(27)!

= 31*30*29*28*27!/ 4!(27)!

= 31*30*29*28/4!

=31*30*29*28/4*3*2*1

=755160/24

=31465 ways

Hence there are 31465 possible ways to rank it

8 0
3 years ago
A boat is 400 feet away from one dock and 500 feet away from the another dock. the angle between the paths is 45°. what is the a
FinnZ [79.3K]

Answer:

  • The approximate distance between the docks is 357 feet

Step-by-step explanation:

Let the distance between docks be d.

This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.

Use the law of cosines to find the value of d:

  • d = \sqrt{400^2+500^2-2*400*500*cos45} =357 (rounded)
8 0
2 years ago
Jenny invests $2,000 at an interest rate of 5%. The amount of money, ma, in Jenny's account after t years can be
Margaret [11]

After t years, the expression that can be used to represent the money in Jenny account is  Mp=2000(1.05)^t+(1.05)^4

<h3 /><h3>Compound interest Computation</h3>

Given Data

  • Principal  P = $2000
  • Rate r = 5%
  • Time t = 4 years

A = P + I where

P (principal) = $2,000.00

I (interest) = $431.01

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 2,000.00(1 + 0.05/1)(1)(4)

A = 2,000.00(1 + 0.05)(4)

A = $2,431.01

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 5% per year compounded 1 times per year over 4 years is $2,431.01.

Learn more about compound interest here:

brainly.com/question/24924853

7 0
3 years ago
Read 2 more answers
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