simplify the expression.

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

Answer:

x = 4

Step-by-step explanation:

Given a tangent and a secant from an external point, then

square of the hypotenuse is equal to the product of the external part and the entire secant, that is

DB × CB = AB² , that is

9x = 36 ( divide both sides by 9 )

x = 4

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

Answer:

3) x = −11

4) x = 40/11 or 3.636363... (it keeps going)

5)

Step-by-step explanation:

3) 5x/6 − ( 2x − 1/2 ) + 4 − 2x/3 = 11

Step 1: Simplify both sides of the equation.

5x/6 − ( 2x−1/2 ) + 4 − 2x/3 = 11

5x/6 + − x + 1/2 + − 2/3x + 4/3 = 11  ( Distribute )

5/6x + − x + 1/2 + − 2/3x + 4/3 = 11

( 5/6x + − x + − 2/3x ) + ( 1/2 + 4/3 ) = 11  ( Combine Like Terms )

−5/6x + 11/6 = 11

Step 2: Subtract 11/6 from both sides.

−5/6x + 11/6 − 11/6 = 11 − 11/6

−5/6x = 55/6

Step 3: Multiply both sides by 6/(-5).

( 6/−5 ) * ( −5/6x ) = ( 6/−5 ) * ( 55/6 )

x = −11

4) 10 - 2x = 3/4x

x = 40/11

(going to also be long I so wont put my work here)

5) -3( x - 3 ) - 9x - 9 = 4( x + 2 ) - 12

x = 1/4

(again, is long so wont put work)

Answer: -4y^(2)+12y-8

Step-by-step explanation: Combine like terms

Answer:

-4y² + 12y - 8

Step-by-step explanation:

-6y² + 9y² - y - 9 - 7y² + 1 + 10y + 3y

-6y² + 9y² - 7y² - y + 10y + 3y - 9 + 1

-4y² + 12y - 8

Answer:

243.84 cm

Step-by-step explanation:

8 feet = 96 inches

96 inches x 2.54 in/cm = 243.84 cm

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56

Answer:

formula: x = -b/2a

Step-by-step explanation:

Answer:

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

just add them up EZZZZZZZZZZZ

Answer:

she missed 5 times

Step-by-step explanation:

So she has 52 points already and the final amount was 37.

so each miss is -3 so we can make the amount with “x”

51-3x=37

SOlve and you would get 5 misses

There are 5 times she missed the board.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

She scores 52 positive points.

She gets a '- 3' score each time she misses the board.

And, Total final points = 37

Now,

Let the number of missed the boards = x

So, We can formulate as;

⇒ 52 - 3x = 37

Solve for x as;

⇒ 52 - 3x = 37

⇒ 52 - 37 = 3x

⇒ 15 = 3x

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Thus, There are 5 times she missed the board.

Learn more about the mathematical expression visit:

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Answer

z11.7 is between 1 and 2 standard deviations of the mean.

Step-by-step explanation:

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

Answer:pretty sure it’s the last one

Step-by-step explanation:

It’s asking for the negative version...

Answer:

the third one.

Step-by-step explanation:

lolololololololololol

Answer:

I.4

ii.13

Step-by-step explanation:

....ur welcome........

Answer:

It stands for "Nothing But Trouble"

Step-by-step explanation:

Answer:

It would be c is greater than or equal to five

Step-by-step explanation:

c≥5

5≤c

Answer:

? = 20

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )

15 ? = 300 ( divide both sides by 15 )

? = 20

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,  

So,

ω = (1200 rev / min) ×  (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is  

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence,  the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

Answer:

86

Step-by-step explanation:

i dont really kbow why but i think it 86

Answer:

It is 89

Step-by-step explanation: it is really 88.57 but it ask whats it closest to and that would be 89

Answer:

3.7

Step-by-step explanation:

Answer:

The Unit Rate would be 0.27:1

Step-by-step explanation:

Divide 4.86 by 18 to get 0.27

Hope this helps! Pls make brainliest

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

I just did the same thing!!! LOL :) I hoped that helped

Answer:

c

Step-by-step explanation:

To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10

Answer:

458435464546484845kdnh

Answer:

C. y+3=−7/5(x+2)

Step-by-step explanation:

Line is passing through the points (-2, -3) and (-7, 4).

Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5

Equation of line in the point-slope form is given as with point (-2, -3).

y - (-3) = - 7/5[x - (-2)]

y + 3 = - 7/5(x +2)

Answer:

(5,-10)

Step-by-step explanation:

(5,-10) is reflected over the x-axis from (5,10)

The perimeter of the triangle is 34.2 units

To determine the value of the perimeter, we need to know the following;

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

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