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Rom4ik [11]
4 years ago
15

Problem solving with inequalities

Mathematics
1 answer:
anzhelika [568]4 years ago
8 0

Option D:

15c ≤ 200

Solution:

Let c be the number of cases of tea bags.

Cost of each tea bag = 15 gold coins

Total gold coins Mad have = 200

<u>Set up an inequality:</u>

Cost of c tea bags = 15 × c = 15c

Mad can buy tea bags at most 200 gold coins.

(At most 200 means 200 is the greater value)

15 × c ≤ 200

15c ≤ 200

Hence option D is the correct answer.

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Finger [1]

Answer:

17, 558 employees

Step-by-step explanation:

Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?

Let the number of employees in the third location be x

70,010 + 17, 595 + x = 70,010

x = 70, 010 - 52452

x = 17, 558( Answer)

17, 558 employees work in the third location

3 0
3 years ago
A zoo has 15 Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live
IgorC [24]
15 x 100/30 = 50

50 penguins live at the zoo.
4 0
3 years ago
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Simplify (2x + y)(x - 2y) - (x + 2y)(2x - y) as much as possible.
snow_tiger [21]

Answer:

-6xy

Step-by-step explanation:

(2x-y)x(x-2y)-(x+2y)X(2x-y)

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

remove the opposites, collect the terms to get -6xy

4 0
3 years ago
6) Alberto invests $8,534 in a retirement
ludmilkaskok [199]

Answer:

  17 years

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r, compounded n times per year for t years.

Filling in the numbers and solving for t, we find ...

  16826.03 = 8534(1 +.04/12)^(12t)

  16826.03/8534 = 1.0033333...^(12t)

Taking logs, we have ...

  log(16826.03/8534) = 12t·log(1.0333333...)

Dividing by the coefficient of t gives ...

  log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000

It will take 17 years for the account balance to reach $16,826.03.

6 0
3 years ago
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Which equation has a slope of -5/2 and a y-intercept of -2
Fantom [35]

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

5x + 2y = -4

4 0
3 years ago
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