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3 years ago

5(x −1) < 3x + 10 − 8x

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

5x - 5 < -5x + 10

10x - 5 < 10

10x < 15

x < 15/10

x< 3/2

yawa3891 [41]3 years ago

5 0

Answer:

x < $\frac{3}{2}$

Step-by-step explanation:

I hope this help

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Matthew has $25 he goes to the movie and spent eight dollars on a movie ticket then four dollars on popcorn do you want to frien

Virty [35]

Answer: $23

Step-by-step explanation:

1) 25-8=17

2) 17-4= 13

3) 13+10= 23

Matthew has $23 now

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4 years ago

HELP!!! Lucas deposits $250,000 into two investment accounts. Over a year, the first account

prohojiy [21]

The amount deposited in the account that earns 3.6% interest is $57,600 and the amount deposited in the account that earns 2.1% interest is $192,400

The first step is to determine the amount of interest he earned in total over a year

Interest = Amount in the account - amount deposited

$256,114 - $250,000 = $6,114

The second step is to formulate two set of equations and use simultaneous equation to solve the question

a + b = $250,000 equation 1

0.036a + 0.021b = $6,114 equation 2

Where a represent amount deposited in the account that earns 3.6% interest

b represent amount deposited in the account that earns 2,1% interest

Multiply equation 1 by 0.036

0.036a + 0.036b = 9000 equation 3

Subtract equation 2 from 3

2886 = 0.015b

divide both sides of the equation by 0.015

b = $192,400

Substitute for b in equation 1

a + 192,400 = 250,000

a = 250,000 - 192400

a = $57,600

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0

3 years ago

A textbook search committee is considering

lora16 [44]

Number of ways to select 3 books from 13 books for adoption is 286 .

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

A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:

Repetition is Allowed: such as the lock above. It could be "333".

No Repetition: for example the first three people in a running race. You can't be first and second.

Formula is given by:

$nC_r= \frac{n!}{r! (n-r)!}$ , where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.

⇒ $13C_3 = \frac{13!}{3!(13-3)!}$

⇒ $13C_3 = \frac{13!}{3!(10)!}$

⇒ $13C_3 = \frac{13(12)(11)10!}{3(2)(1)(10)!}$

⇒ $13C_3 = 13(2)(11)$

⇒ $13 C_3 = 286$

∴ Number of ways to select 3 books from 13 books for adoption is 286 .

3 0

3 years ago

A square and a rectangle have the same perimeter. Find the side lengths of each figure.

aliina [53]

X + 1 + X + 1 + X +1+ X +1 = 2X -3+ 2X -3+ X -1+ X -1
4x + 4 = 4x-6+2x-2
4x+4=6x-8
12=2x
6=x

Side lengths:
6-1=5
6+1=7
2(6)-3=9

Hope that helps! Stay safe!

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3 years ago

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Rzqust [24]

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Step-by-step explanation:

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3 years ago