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sergiy2304 [10]
2 years ago
6

I need help urgenty 50 % of grade

Mathematics
2 answers:
GaryK [48]2 years ago
7 0

Answer:

  • C. x ≤ 2

Step-by-step explanation:

  • 4(x - 1) ≤ (x + 6) / 2
  • 8(x - 1) ≤ x + 6                               Multiply by 2
  • 8x - 8 ≤ x + 6                                Open parenthesis
  • 8x - x ≤ 8 + 6                                Collect like term
  • 7x ≤ 14                                          Simplify
  • x ≤ 2                                             Divide by 7

Correct choice is C

Rudik [331]2 years ago
6 0

Answer:

x\leq 2

Step-by-step explanation:

4(x - 1)\leq \frac{x + 6}{2}        

4x - 4 \leq \frac{x + 6}{2}                   multiply all terms by 2

2(4x) - 2(4)\leq 2(\frac{x + 6)}{2} )

8x - 8 \leq x + 6

8x - x -8 \leq 6

7x - 8 \leq 6

7x \leq 6 + 8

7x\leq 14

x\leq 2

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A) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA
ruslelena [56]

Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

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8 0
2 years ago
You make a tape of your friend's three favorite TV shows: a comedy, a drama and a reality
vodka [1.7K]

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

4 0
3 years ago
A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years
Dennis_Churaev [7]

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3)  ... combine like terms

30 = 3M + 3  ... subtract 3 from both sides

27 = 3M  ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

6 0
3 years ago
Daniel brother can eat 4 ice cream sandwiches every 30 minutes his brother can eat double that how many ice cream sandwiches wil
Snowcat [4.5K]

Answer:

3 minutes and 45 seconds

Step-by-step explanation:

His brother can eat 1 ice cream sandwich every 3 minutes and 45 seconds I found this out by dividing 30 by 8 then I got 3.75 then I converted .75 to 75% of 60 was 45 thus ending up with 3:45

8 0
4 years ago
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zubka84 [21]
The answer is (x,y) =(28/11, -21/11)
4 0
4 years ago
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