If the product of 6 and an integer (n) increased by 13, the result is -14 what is the value of n?

Answers

Answer 1

Answer: -33, I found the answer by adding 6 with 13...
6+13=19
then I added 19+14=33
Then you know that it has to be a negative so...
-33 is the answer
Hope it helped :)

Answer 2

Answer:

Final answer:

The value of the integer 'n' in the given equation 6n + 13 = -14 is -4.5

Explanation:

The problem seeks to determine an integer 'n' such that the product of 6 and 'n,' increased by 13, equals -14. This can be represented by the equation 6n + 13 = -14. To solve for 'n,' we begin by isolating it. First, we subtract 13 from both sides of the equation, resulting in 6n = -27. Then, we divide both sides by 6 to determine 'n.' Consequently, the value of 'n' is found to be -27/6, which simplifies to -4.5. However, it's worth noting that 'n' must be an integer, and -4.5 is not an integer. Therefore, there may be an issue with the problem statement or solution.

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The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

Answers

Answer:

Miles Traveled is independent.

Cost is the dependent.

Step-by-step explanation:

Hope this helps!!

I’m not entirely sure what the question is here, but all you would have to do is plug a given number of miles into m to find the cost. Or, if you’re trying to find the amount of miles driven, simply substitute the cost for c and solve for m. You would do this by subtracting 25 from both sides and then dividing by .6

Solve the equation s + 2.8 = 6.59

Answers

s + 2.8 = 6.59
s = ?

To solve for s use the inverse operation of addition, which is subtraction.

s + 2.8 = 6.59
6.59 - 2.8 = s
6.59 - 2.8 = 3.79
s = 3.79

Check:

s + 2.8 = 6.59
s = 3.79
3.79 + 2.8 = ?
3.79 + 2.8 = 6.59
Correct!

This proves: s = 3.79 ;)

In order to solve for the variable, isolate the variable.

s + 2.8 = 6.59
- 2.8 -2.80 ( 2.8 is the same as 2.80 )

s = 3.79

Double check by plugging in the variable.

s + 2.8 = 6.59
3.79 + 2.8 = 6.59
6.59 = 6.59

Yes, it's correct!

Hope I helped!

What is the slope of 2/3x + 4

Answers

Answer: y= mx + b to find slope of m.

Step-by-step explanation:

so y= mx + b

so, m = 2/3

Let me know if this was helpful

thank you have a ice day/night

~Evelyn

What is the area of the figure?40 ft2
84 ft2
96 ft2
can't be determined

Answers

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=(1)/(2)bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

Find the area of triangle

$A=(1)/(2)(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\nW=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

Answer:

80ft^2

Step-by-step explanation:

How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining solution contains 20% salt?

Answers

The quantity of pure water is 64 gallons which are to be evaporated.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The total amount of salt must be equal before and after evaporation.

Multiply the percent of salt in the solution before evaporation by the total gallons of solution

= 12% x 160 gallons convert 12% to decimal form (12% ÷ 100)

= 0.12 * 60

Subtract the number of gallons of pure water that should be evaporated from the total number of gallons of the solution and multiply by the percent of salt in the solution after evaporation

= 20% * (160 - x)convert 20% to decimal form (20% ÷ 100)

= 0.20(160 - x)

Set the before & after evaporation equations equal to one another to solve for x.

0.12 x 160 = 0.20(160 - x)

19.2 = (0.20 * 160) + (0.20 * -x)

19.2 = 32 - 0.20x

-12.8 = -0.20x

64 gallons = x

Therefore, the quantity of pure water is 64 gallons which are to be evaporated.

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x= # gallons of pure water that should be evaporated

The total amount of salt must be equal before and after evaporation.
STEP 1
BEFORE EVAPORATION: multiply the percent of salt in the solution before evaporation by the total gallons of solution
= 12% * 160 gallonsconvert 12% to decimal form (12% ÷ 100)
= 0.12 * 60

STEP 2
AFTER EVAPORATION: subtract the number of gallons of pure water that should be evaporated from the total number of gallons of the solution and multiply by the percent of salt in the solution after evaporation

= 20% * (160 - x)convert 20% to decimal form (20% ÷ 100)
= 0.20(160 - x)

STEP 3
Set the before & after evaporation equations equal to one another to solve for x.
0.12 * 160= 0.20(160 - x)multiply 0.20 by each term in parentheses
19.2= (0.20 * 160) + (0.20 * -x)multiply in parentheses
19.2 = 32 - 0.20xsubtract 32 from both sides
-12.8= -0.20xdivide both sides by -0.20
64 gallons= x

CHECK:substitute x= 64 into the step 3 equation
0.12 * 160= 0.20(160 - x)19.2= 0.20(160 - 64)subtract in parentheses19.2= 0.20(96)19.2= 19.2

ANSWER: 64 gallons of pure water should be evaporated.
Hope this helps! :)

If grades in QMET are normally distributed with a mean of 8 and a standard deviation of 19, what proportion of students will score 86 or lower?

Answers

Answer:

c and b

Step-by-step explanation:

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