Mrs. Lawton has a bank balance of $72 at the start of the month. On the 3rd of the month he withdrew $20. Then on the 8th, he withdrew 5 times the amount he withdrew on the 3rd.

1. What is Mrs. Lawton’s bank balance after the 2 withdrawals?


2. How much does Mrs. Lawton need to deposit into her account to give an exact balance of $200?

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer:

It is a linear.

Step-by-step explanation:

Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Answer:

1) a

2) c

3) a

Step-by-step explanation:

1) Subsitute

2.14x - 42.9 = ?

2.14(22.4) - 42.9 = ?

47.936 - 42.9 = ?

= 5.036

2) Factor out

6y^2 + 27y

both have 3 and y in common so ...

3y(2y + 9)  

3) Distribute

12m(m - 3n)

12m * m = 12m^2

12m * -3n = -36mn     the only reason -3 is NOT a positive is b/c it has subtraction sign b4 the number

put it in order:

12m^2 - 36mn

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

Answer:

you forgot the attachment

Step-by-step explanation:

...

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and trig functions. The relevant relations here are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In your diagram, leg 'a' is opposite angle α and adjacent to angle β. Similarly, leg 'b' is opposite angle β and adjacent to angle α. The hypotenuse is 'c' in all cases.

So, filling the table is a matter of identifying adjacent and opposite legs. You will notice that the sine of α is the cosine of β and vice versa.

Answer:

$12,088

Step-by-step explanation:

Value = $28,000

Rate, r = 14% = 0.14

Time = 6 years

Using an exponential function :

A = Pe^-rt

P = initial value

A = final worth

A = 28000*e^-(0.14*6)

A = 28000 * e^-0.84

A = 28000 * 0.4317105

A = 12087.894

Worth after 6 years = $12,088

Answer:

(0,3)

Step-by-step explanation:

Answer:

0, 3

Step-by-step explanation:

first find the x axis variable, (0), then find the y axis variable, (3).

Answer:

Tax = $2.00, cost of item = $52.00

Step-by-step explanation:

Multiply 50(.04) = $2.00, then add $50 + $2 = $52

Answer:

Sales tax 2.00, Total cost=52.00

Step-by-step explanation:

50 x .04=2 sales tax

50+2=52 total price

Answer:The equation would be 230 = 25y + 10x + 1x or 230 = 25y + 11x

You would then need to solve for x and y, which I forget how to do with 2 variables but since we're working with small numbers what I would do is continuously subtract 25 from 230 until the remainder is divisible by 11.

230 - 25*7 = 55 = 11*5

x = 5

Ok, adding the equation 2x+y = 17 you will now be able to solve for the two variables using a system of equations.

yes, you can come up with an equation. actually, you can come up several equations to generate a system of equations.

your first equation is correct.

(1) 25q + 10d + 1p = 230

now, you're told that the number of dimes equals the number of pennies. that just means, in symbols:

(2) d = p

finally, you're told that you have 17 coins in all, i.e.:

(3) q + d + p = 17

you now have three equations and three unknowns. use (2) to reduce (1) and (3).

(1′) 25q + 11d = 230

(3′) q + 2d = 17

now solve for the three variables.

Answer:

7 quarters

Step-by-step explanation:

We can use the guess method.

17 coins altogether, and as many dimes as pennies.

The number of quarters must be odd. When you subtract an odd number of quarters from 17, you get an even number which will divide by 2 evenly giving you the same number of pennies and dimes.

Start with a guess of 7 quarters.

17 - 7 = 10

7 quarters + 5 pennies + 5 dimes have a value of $2.30

Wow, I got it with the first guess.

Answer: 7 quarters

Answer:

Vertices are basically the point where 2 sides meet. In this shape the vertices are:

A, B and C

The sides are;

AB. BC, and CA

The angles are all 60°, this is because it is an equilateral triangle (all the sides seems to be equal)

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Given the number 4.

The sign of the number 4 is positive.

An additive inverse is a number whose sign is opposite to the number.

For example, the additive inverse of -5 is 5, and 5 is -5.

So additive inverse of 4 will be -4.

Now sum of 4 and -4

4 + (-4) = 0

Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".

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Answer:

1200 is ur wsener

Step-by-step explanation:

Answer:

1,200 is the result to the problem

Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

Answer:

21.75 or [tex]21\frac{3}{4}[/tex]

Step-by-step explanation:

You have to convert from a mixed number to a decimal. You can follow the following steps: To do this:

1.) You must divide the fraction's numerator by the denominator.

2.) You must now add the quotient obtained to the part of the Whole number.

you will get:

[tex]{\large\boxed{\fcolorbox{7}{\frac{1}{4}=7+0.25=7.25 }}[/tex]

The scale of the image that maps "Figure a" to "Figure b" is:

[tex]{\large\boxed{\fcolorbox{1:7.25}}[/tex]

3.) You have to multiply by 7.25 the length of the corresponding side of "Figure A" in order to find the value "x."

The final result will be:

[tex]{\large\boxed{\fcolorbox{x=(3)(7.25)}}[/tex]

[tex]{\large\boxed{\fcolorbox{x=21.75}}[/tex]

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Step-by-step explanation:

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Answer is 12.

I hope it's helpful!

Answer: The number is 192

Step-by-step explanation:

Answer:

x = 1 and x = -3

Step-by-step explanation:

We need to solve the given equation.

[tex]3+x=x^2+3x[/tex]

Taking all terms together,

[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]

So, the solution of the above equation is x = 1 and x = -3.

Answer:

[tex]4=(x+1)^{2}[/tex]

x= -1 ±2

Khan Academy

Here is your answer. Hope it helps

Answer:

2.3×10/10=23/10=2 3/10 is mixed number

Answer:

B or 2

Step-by-step explanation:

Because 2 and 4 are alternative interior angles that means that they are equal, but on the inside of the traversal (Parallels AB and CD)

Hope this helped :)

Answer:

it should be angle 2 and 4

Step-by-step explanation:

since 2 and 4 are interior angles they are the same and congruent so they have to be equal for the line to be parallel

Answer:

Dave has 9 bottles of water

Step-by-step explanation:

12-3=9

Answer:

Circumference: 12pi or 37.7

Area: 36pi or 113.1

Step-by-step explanation:

C = 2(pi)r

C = 2 * pi * 6

C = 12pi or 37.7

A = (pi)r^2

A = pi * 6^2

A = 36pi or 113.1

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Answer:

your best bet is 67.38

Step-by-step explanation: