i need help answering this

Answer:

20 gallons

Step-by-step explanation:

let's set up an expression to match this question.

if gas costs 3.35 a gallon, and we want to find the number of gallons:

3.35x = 67.00 where x = the number of gallons he bought.

then, solving for x:

x = 67.00/3.35 = 20 gallons

hope this helped!

It would take about 2.6 years for the value of the account to reach $5,920, assuming no deposits or withdrawals are made.

We can use the formula for compound interest to solve the problem;

A = \(P(1+r/n)^{(nt)}\)

where;

A is the amount after t years

P is principal (the initial amount invested)

r is annual interest rate (as a decimal)

n is number of times the interest is compounded per year

t is the time in years

In this case, we know that;

P = $4,900

r = 0.03 (3% expressed as a decimal)

n = 12 (interest is compounded monthly)

A = $5,920

We can solve for t by plugging in these values and solving for t;

$5,920 = $4,900\((1+0.03/12)^{12t}\)

Divide both sides by $4,900;

1.20918367347 = \((1+0.03/12)^{12t}\)

Take the natural logarithm of both sides;

ln(1.20918367347) = ln(\((1+0.03/12)^{12t}\))

Use the property of logarithms that allows us to bring the exponent down;

ln(1.20918367347) = 12t ln(1 + 0.03/12)

Divide both sides by 12 ln(1 + 0.03/12)

t = ln(1.20918367347) / (12 ln(1 + 0.03/12))

t ≈ 2.6 years

Therefore, it would take about 2.6 years.

--The given question is incomplete, the complete question is

"Ella invested $4,900 in an account paying an interest rate of 3% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $5,920?​"--

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Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer: When simplified, -x − x is:

-2x

When you subtract x from -x, you are essentially adding the opposite of x to -x, which is -x.

-x + (-x) = -x + -x = -2x

-x and x have opposite signs so when you add them up, the signs cancel out and you are left with the coefficient -2 in front of the x.

Step-by-step explanation:

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

<95141404393>

Answer:

It depends is w is a negative or positive number

Step-by-step explanation:

5w could = 5 x 4 = 20 this is greater than -20

5w could = 5 x -4 = -20 this is equal to -20

hope this helps...

2(z+10)

2z+20

Answer:

2z+20

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

Answer:

Hope this helps :)

Step-by-step explanation:

8(x - 2) = 2x + 8

y+9 = -2(y + 1)

value of x in 8(x - 2) = 2x + 8

x=4

substitue

y+9=−2(y+1)

value of y y+9=−2(y+1)

y= - 11/3 or 3.66...

x=4

y=4 (I rounded 3.66)

Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

according to question,

given data.

h(x)=8x-3/4+5

then,

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer:

Step-by-step explanation:

n≤-2

n≥-4

or -4≤n

combining

-4≤n≤-2

Answer:

The 2nd equation

Answer:

160

Step-by-step explanation:

Angle ABE is a 180 as ABE forms a line

so angle ABC + ANGLE CBE = 180

x + 20 = 180

x = 180-20

= 160

I hope im right!!

Answer:

no

Step-by-step explanation:

your beatiful just the way you are

dont change anything about yourself

Answer:

1/12

Step-by-step explanation:

the probability of landing on 6 is 1/6 and the probability of a tails is 1/2, so 1/6*1/2=1/12

Answer:

1:0.4641

Step-by-step explanation:

We are told that the scale of the model with respect to the real world is 0.1 cubic meter. This means that for every 1 cubic meter in the real world the model represents 0.1.

They tell us that the real world volume is 100,000, that if we assume a cube, we have to:

V = l ^ 3

l = 100000 ^ (1/3)

l = 46.41

46.41 meters would be each side, now the volume of the model would be:

100,000 * 0.1 = 10,000

Which means that its sides would be:

V = l ^ 3

l = 100000 ^ (1/3)

l = 21.54

We calculate the scale of the sides:

21.54 / 46.41 = 0.4641

Which means that for every 1 meter in the real world the model represents 0.4641 meters.

The radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft

= 2

Hence, the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

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Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

Answer:

mode-8

median-8

mean-8.4

range-4

LQ-7

UQ-10

Interquartile range-3

Answer:A survey

Step-by-step explanation:

(A) The equation y = ( 1/4 )x + 2 best represents the relationship between x and y.

From the graph, we can see that the line is passing through points ( - 8, 0 ) and ( 0, 2 ).

So, to obtain the equation that represents the best relationship we will substitute the points in the equation to check whether they satisfy or not.

Consider option (a),

y = ( 1/4 )x + 2

For ( - 8, 0) :

0 = ( 1/4 ) × - 8 + 2

0 = - 2 + 2

0 = 0

For ( 0, 2 ):

y = ( 1/4 )x + 2

2 = (1/4) × 0 + 2

2 = 2

Hence, the equation y = ( 1/4 )x + 2 passes through both points.

Consider option (b),

y = 4x - 8

For point ( - 8, 0 )

y = 4(-8) - 8

y = - 32 - 8 = - 40 ≠ 0

For point ( 0, 2)

y = 4(0) - 8 = - 8 ≠ 2

Hence, the equation y = 4x - 8 does not pass through the points.

Consider option (c),

y = ( 1/4 )x - 8

For ( - 8, 0 )

y = ( 1/4 ) × - 8 - 8

y = - 2 - 8 = - 10 ≠ 0

For ( 0, 2)

y = ( 1/4 ) × 0 - 8 = - 8 ≠ 2

Hence, the equation y = ( 1/4 )x - 8 does not pass through points.

Consider option (d),

y = 4x + 2

For point ( - 8, 0 )

y = 4( - 8) + 2

y = - 32 + 2 = - 30 ≠ 0

For point ( 0, 2)

y = 4( 0 ) + 2 = 2

2 = 2

Hence, the equation passes through ( 0, 2) but does not pass through the point ( - 8, 0 ).

Therefore, the equation that represents the relationship between x and y is y = ( 1/4 )x + 2

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Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³