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Kamila [148]
3 years ago
5

The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 162. If state

A has more counties than state B, how many counties does each state have?
Mathematics
1 answer:
Inga [223]3 years ago
7 0
<span>The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 110. If state A has more counties than state B, how many counties does each state have?
------
1st: 2x
2nd: 2x+2
-----
Equation:
4x+2 = 110

4x = 108
x = 27
----
1st: 2x = 54
2nd: 2x+2 = 56</span>
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A number n is increased by 8. If the cube root of that results equals -0.5, what is the value of n?
jek_recluse [69]

The cube root of (n increased by 8), or  ∛(n+8), is -0.5, or -1/2.

∛(n+8) = -1/2.  To solve this for n, cube both sides, obtaining n+8 = -1/8.

Eliminate the fraction by mult. all three terms by 8:             8n + 64 = -1

Solving for n:  8n = -65, so that n = -65/8.

8 0
3 years ago
Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options
Murljashka [212]

Answer:

The value of X is more than equal to -1.83.

Step-by-step explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

LHS of the inequality will be : -32x-5

RHS of the inequality will be : (52-X)

So,

-32X-5\leq 52-X

Adding X both sides

-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52

Adding 5 to both sides,

-31X-5+5\leq 52+5\\\\-31X\leq 57

Dividing both sides by -31.

X\geq \dfrac{-57}{31}\\\\X\geq  -1.83

So, the value of X is more than equal to -1.83.

5 0
3 years ago
Sweetums finds that the cost of making a certain candy bar .15 per bar and that the fixed rate is 600 per week if each bar sells
PilotLPTM [1.2K]

We know that:

Profit = Revenue - Cost

Let us say x number of candies are made per week.

Finding Cost per week:

Cost of making 1 bar = 0.15

Cost of making x bars = 0.15x

Fixed rate of making candies per week = 600

Total cost of making x candies per week = 600 + 0.15x

Now let us find Revenue:

Selling price of each bar = 1.50

Selling price of x bars = 1.50x

Now we have to find profit,

Profit = Revenue - Cost

In order to have profit Revenue - Cost >0

So plugging values of revenue and cost to get number of candies,

1.50x-(0.15x+600)>0

1.50x-0.15x-600>0

1.35x-600>0

1.35x>600

x>444.44

Rounding off

x>444

Answer: The company must sell greater than 444 candies in order to make profit.

7 0
3 years ago
Covert each into algebraic equations
marshall27 [118]

Answer:

1) 2x=4x-8

2) 4(x+2)=20

3) 2x-9=4(x+5)

3 0
2 years ago
What is the diameter of a cone with height 8 m and volume 150xm3?
Reika [66]
On google, it says 8.463.
6 0
3 years ago
Read 2 more answers
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