Sidney took a cash advance of $150 by using checks linked to her credit card account. The bank charges a cash advance fee of 2 percent on the amount borrowed and offers no grace period on cash advances. Sidney paid the balance in full when the bill arrived.

Answer: Distribute:

=2b+(

1

2

a)(b)+(

1

2

a)(

−2

3

)+−4ab

=2b+

1

2

ab+

−1

3

a+−4ab

Combine Like Terms:

=2b+

1

2

ab+

−1

3

a+−4ab

=(

1

2

ab+−4ab)+(

−1

3

a)+(2b)

=

−7

2

ab+

−1

3

a+2b

Answer:

=

−7

2

ab+

−1

3

a+2b

Step-by-step explanation: done

Answer:

48ft

Step-by-step explanation:

Answer:

Equation: 190 = 6 + 23p

Answer: p = 8

Step-by-step explanation:

So first we have a total of $190 and regardless of how many people go, parking is going to cost $6 so that amount will be reduced from the total money they have for the amusement park. The rest left will go towards the tickets. That means the amount they have is $190-$6 = $184. 23 x the number of tickets = $184. You need to divide the 184 by 23 to get the number of tickets. Which is p in this situation. Therefore the answer for p would be 8. For the equation, you have 190 = 6 + 23p. Therefore those two is our answers.

Answer:

Step-by-step explanation:

Let the gross salary be x.

Then after deduction it becomes:

Since the amount is known, the gross salary is:

Answer: $3692

Mrs Cianciaruso folded 24 report cards and Mrs Braitwaite folded 36 report cards

The ratio of report cards folded by Mrs Cianciaruso and Mrs Braithwaite is 2:3

Let x be the number of report cards folded by Mrs Cianciaruso, therefore:

No. of report cards folded by Mrs Cianciaruso = x

It is given that Mrs Braithwaite folded 12 more report cards than Mrs Cianciaruso therefore, No. of report cards folded by Mrs Braithwaite = x +12

The equation will be:

x/x+12 = 2/3

3x = 2x + 24

x = 24

Hence, Mrs Cianciaruso folded 24 report cards and Mrs Braitwaite folded 36 report cards

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Answer:

4 - i

Step-by-step explanation:

Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i.  Also, we know that  i will not be in the end result, which means that we should have a negative in the result as well.

To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]

So indeed the answer is 4 - i

Answer:

d) 4-i

Step-by-step explanation:

on edge

Answer:

12 weeks.

Step-by-step explanation:

On the twelfth week they will both have saved $160.

hope this helps.

Answer:

we can describe this by using the formulas of Trigonometric functions..........Thank u.....

Answer:

0.7

Step-by-step

49 divided by 7 = 7

Since there is a decimal add a 0 in front of the 7. (0.7)

Answer:I believe 786.34

Step-by-step explanation:

You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer

Answer:

$128

Step-by-step explanation:

73.25/180 = 7325/18000 = 0.4

0.4 * 320 = 128

Hope this helps!      :3

plz mark as brainliest!

Answer:

The answer is C.

Step-by-step explanation:

Square root of a negative number is non real.

Answer:

Its 3/6

Step-by-step explanation:

Answer:

one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back

Step-by-step explanation:

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

1m2 = 10000cm2

4.5m2 = 25000cm2

Answer:

I think it's 150!!

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

log x, log (x+2) , log (x+16) are in A.P.

2log (x+2)=log (x+2) +log (x+16)

log (x+2)²=log [(x+2)(x+16)]

(x+2)²=(x+2)(x+16)

x²+4x+4=x²+2x+16x+32

4x-18x=32-4

-14x=28

x=28/(-14)=-2

Answer:

132 feet

Step-by-step explanation:

22+60+70

The distance of the Maria from her starting location is 109.9 feet.

Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.

In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

Let's call the distance Maria is from her starting location "x".

The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:

tan(70°) = x/40

Multiplying both sides by 40, we get:

x = 40 tan(70°)

Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:

x = 109.9

So Maria is approximately 109.9 feet from her starting location.

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Answer:

42%

Step-by-step explanation:

just makes sence I think

Answer:

1.25

Step-by-step explanation:

45 over 36 is 1.25

.o.  >_< ._. .-. .>. .,. .O. .0. :o :O ;o ;O                                                                                           .

The variable k can be expressed as follows:

k = 2D / f

A variable is a number represented by a letter in an equation or expression.

The variables in the given equation are D, f and k.

But we were asked to make the variable k the subject of the formula.

Therefore,

D = 1 / 2 f k

cross multiply

f k = 2D

divide both sides by f

Hence,

f k / f = 2D / f

k = 2D / f

Therefore, the variable k can be expressed as follows:

k = 2D / f

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Answer:

x = 404.83

Step-by-step explanation:

The given expression is :

19,432÷x=48 ...(1)

We need to find the value of x.

[tex]\dfrac{19,432}{x}=48[/tex]

Cross multiplying both sides,

[tex]19,432=48x[/tex]

Dividing both sides by 48

[tex]\dfrac{19,432}{48}=x\\\\x=404.83[/tex]

So, the value of x is 404.83.

Answer:

x = 400

Step-by-step explanation:

To find x, you first need to subtract the remainder from 19,432.

That equals 19,200. Then you need to do 19,200 divided by 48.

x = 400

Hope this helps! :)

Answer:

-12x + 5 > -19

-12x > -24

x < 2

Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°

The 8th term of the pattern is 254.

Here the sequence is 9, 16, 29, 50, 81, 124, 181

By using differences we have :

 9,    16      29      50      81      124     181

  |___|  |___| |___|  |___|  |___|  |____|

    ↓         ↓       ↓        ↓         ↓        ↓

   +7      +13     +21     +31      +43    +57

     |____|  |___|  |___|  |____|  |____|

         ↓         ↓         ↓        ↓          ↓

        +6        +8      +10      +12      +14

           |____|  |____|  |___|  |_____|

                ↓          ↓         ↓          ↓

               +2        +2       +2        +2

Therefore to find the 8th value of the pattern

We will add 2 in 14

14 + 2 = 16

Now 16 should be added to 57

57 + 16 = 73

Now we will add 73 to the 181 we get

181 + 73 = 254

Therefore the 8th term of the pattern is 254 by using the difference.

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Answer:

765 37/100

Step-by-step explanation:

The decimal form of the expression is 765.037

The decimal form is a way of expressing fractions and numbers as decimals.

In mathematical expressions, decimals are positioned in such a way as to differentiate between the whole number part and the fractional number part.

From the given  information, we have:

[tex]\mathbf{=7 \times 100 + 6 \times 10 + 5\times 1 + 0 (\dfrac{1}{10}) + 3\times (\dfrac{1}{100}) + 7 \times (\dfrac{1}{1000})}[/tex]

[tex]\mathbf{=700+60 + 5+ 0 + \dfrac{3}{100} +\dfrac{7}{1000}}[/tex]

= 765.037

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[tex](4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d[/tex]

Negative multiply negative = Positive

Negative multiply positive = negative

[tex]-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d[/tex]

Thus the answer is -4a + 16b - 12c - 12d.

The possible values of x for the following functions are values on real number except 0 and 1

The domain of a function are the values of the independent variable for which it exists.

Given the function below

f(x)=2-x/x(x-1)

The function does not exist at the. point where the denominator is zero. From the function given, the function does not exist when;

x(x -1) = 0

x = 0 and x = 1

Hence the possible values of x for the following functions are values on real number except 0 and 1

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