in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?

Answer:

I wish I could help but I'm not sure

Answer:

24

Step-by-step explanation:

trudt

당신에게 도움이됩니다

[tex]( - 3) - 5 \\ = ( - 8)[/tex]

Answer:

B

Step-by-step explanation:

[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]

Answer:

The dimensions of the mirror is 9 feet and 2 feet

Step-by-step explanation:

Keep in mind that the area and perimeter of a rectangle is:

Area - length x width

Perimeter - 2 (l + w)

List the factors of 18 (the area of the mirror):

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS OF MIRROR:

1 ft and 18 ft

Area = 18 ft^2

Perimeter = 38 feet

2 ft and 9 ft

Area = 18 ft^2

Perimeter = 22 feet

3 ft and 6 ft

Perimeter = 18 feet

The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.

Hope these helps!

Answer:

A positive number.

Any negative subtracted from a positive will always be positive.

Answer:

a-b will be and will always be a POSITIVE number.

This is because a is positive, and b is negative.

However, when you subtract a negative number, you are actually just adding it.

So, a - (-b) = a+b.

This is why, it will always be positive.

Let me know if this helps!

Answer:

2x²+2x

Step-by-step explanation:

you have f(x)= x+1 and g(x)= 2x

you must multiply the 2 polynomials

(1x·2x) +( 1·2x)

1·2=2  x^1·x^1=x²

2x²

1·2x=2x

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

Answer:

B) m = -11/4

Step-by-step explanation:

What is the solution to the equation 1/sqrt(8) = 4^(m+2)

1 over the square root of 8 = 4^(m + 2)?

A) m = − 15 / 4

B) m = − 11 / 4

C) m = 5 / 4

D) m = 9 / 4

1/sqrt(8) = 4^(m+2)   apply law of exponents

1/2^(3/2) = (2^2)^(2m+4)

2^(-3/2) = (2)^(2m+4)

-3/2 = 2m+4

2m = -11/2

m = -11/4

Answer:

x = 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 30 = sqrt(3) / x

x tan 30 = sqrt(3)

x = sqrt(3) / tan 30

x =sqrt(3) / (1 / sqrt(3))

x = sqrt(3) * sqrt(3)

x = 3

A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

Of this numerous possible interpretation, James should have specified that the set of points is in a plane

Learn more about circles at:

https://brainly.com/question/12930236

Answer:

[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]

I hope I helped you^_^

Answer:

k = 12

Step-by-step explanation:

isolate the variable; divide both sides that dont contain the variable

Answer:

K=12

Step-by-step explanation:

-144π = -12πk

divide by -12π on both sides to find k

-144π / -12π = k

12 = k

Answer:

Step-by-step explanation:

Given:

Number of fruit flies = 200

Rate of growth = 3 times per day

Find:

A . Equation

B . Number of fruit flies after 3 days

Computation:

A . Equation = 3n(200)

Equation = 600n

B. Number of fruit flies after 3 days

Number of fruit flies after 3 days = 600(3).

Number of fruit flies after 3 days = 1800 fruit flies

Answer:

Option C and option E

Step-by-step explanation:

C.) 7,8,9,…

E.) 22

Natural numbers are also called counting numbers.

They begin from 1, 2, 3 to infinity.

Natural numbers are greater than zero (0)

They do not have decimal point in them.

They are positive integers, as such they do not have minus

Natural numbers can include commas when they are large like 3,000

Answer:

(3.5, - 3.5)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(9-2)/2=7/2=3.5

y=(-8+1)/2=-7/2=-3.5

Answer:

a = -5x

b = 4

c = 0

Step-by-step explanation:

binomial equation is written in form of

[tex]ax^2 + bx + c = 0[/tex]

given equation

[tex]0 = 4x - 5x^2[/tex]

rearranging it we have

[tex]0 = - 5x^2 + 4x + 0[/tex]

comparing this equation with [tex]ax^2 + bx + c = 0[/tex]

comparing coefficient of variables  with same power.

a = -5x

b = 4

c = 0

Answer:

Step-by-step explanation:

z=xi+yj

x=-1.2=r cosθ (say)

y=-1.6=r sinθ(say)

square and add

r²cos²θ+r² sin ² θ=(-1.2)²+(-1.6)²=1.44+2.56=4

r²=4

r=2

divide

tanθ=y/x=-1.6/(-1.2)=16/12=4/3

θ=tan ^{-1}(4/3)≈53.13°

so polar coordinates are (2,53.13°)

the answer is very simple if you don't understand ask to your teacher

Answer:

D) 11 13 15 19 23 23 24 26.5 28 33​

Step-by-step explanation:

The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:

Minimum value = 11

Q1 = 15

Median = 23

Q3 = 26

Maximum value = 33

From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.

The data set in option D has a minimum value of 11, and a maximum value of 33.

Answer:

D. 101

Step-by-step explanation:

(25x+1)+(25x-2)+(20x-1)+82=360

70x=360-1+2+1-82

70x=280

x=4

A=25x+1=101

Answer:

6.87 g/mL

Step-by-step explanation:

The density of an object can be found by dividing the mass by the volume.

[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]

We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.

[tex]m= 87.3 g\\\\v=12.7 mL[/tex]

Substitute the values into the formula.

[tex]d= \frac{87.3 g}{12.7 mL}[/tex]

Divide 87.3 g by 12.7 mL

[tex]d=6.87401575 g/mL[/tex]

Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

[tex]d= 6.87 g/mL[/tex]

The density of the aluminum is about 6.87 grams per milliliter.

Answer: 20p³+30p²-13p-12

Step-by-step explanation:

2(-4p-6)-5p²(-4p-6)-5p

-8p-12+20p³+30p²-5p

20p³+30p²-13p-12

please click thanks and mark brainliest if you like :)

Answer:

20p^3+30p^2-13p-12

Step-by-step explanation:

2(-4p-6)-5p^2(−4p−6)−5p

Distribute

-8p -12 +20p^3 +30p^2 -5p

Combine like terms

20p^3 +30p^2-13p-12

Answer:

Company Y charges 255 dollars more then Company X :)

Step-by-step explanation:

Company X: 0.75 * 300 = 225 + 0 shipping

Company Y: 1.20 * 300 = 360 + 120 shipping = 480

480 - 225 = 255

Answer:

[tex]probability = \frac{1}{2}[/tex]

Step-by-step explanation:

Probability is the chance of an event happening. It can simply be defined by the following formula,

[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]

The total outcome is all of the possible outcomes or the sum of all of the types of marbles. The desired outcomes are the outcomes that one wants or the sum of the number of wanted marbles,

[tex]total\ outcomes = red+yellow+green+blue\\=6+10+5+1\\=22[/tex]

[tex]desried\ outcomes= red+green\\= 6 + 5\\=11[/tex]

Substitute into the formula to find the probability of an event:

[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]

[tex]probability = \frac{11}{22}[/tex]

Simplify,

[tex]probability = \frac{11}{22}[/tex]

[tex]probability = \frac{1}{2}[/tex]

Answer:

Below

Step-by-step explanation:

6)

The sum that we have is 85 +99

We want to express it as the product of a whole number thar is greater than 1 and a sum of two whole numbers.

Notice that: 85 = 84+1

● 85 + 99 = 84 + 1 + 99 = 84 + 100

84 and 100 are even numbers so we can factor using 2.

● 84 + 100 = 2(42 +50)

2 is greater than one and 42+50 is the sum of two whole numbers so all the conditions are satisfied.

■■■■■■■■■■■■■■■■■■■■■■■■■■

7)

Dasha go on business trips every 9 months while Charlie go every 6 months.

They came back at the same time.

So Charlie has to wait 6 months before going and Dasha nine months.

Dasha will be alone home for 3 months so she doesn't need to hire someone.

Here is what happens:

● Both Dasha and Charlie are home.

● After 6 months Charlie go and Dasha is at home

● after 3 months Dasha goes also and Charlie is home

● after 3 months charlie go and Dasha is home

● after 3 months both are home.

● aftet 3 months they both go

So the period is:

● 6+3+3+3+3 = 18

So after 18 months they should hire someone.

The picture below makes the understanding easier. ( x is Charlie and y is Dasha)

■■■■■■■■■■■■■■■■■■■■■■■■■■

8)

Pime factorisation

● 96÷2= 48

● 48÷2= 24

● 24 ÷ 2 = 12

● 12 ÷ 2 = 6

● 6÷2 = 3

● 3÷3 = 1

=> 96 = 2 × 2 ×2×2×2 ×3 =2^5 ×3

● 80÷ 2 = 40

● 40 ÷ 2 = 20

● 20÷2 = 10

● 10÷2 = 5

● 5÷5 = 1

=> 80 = 2×2×2×2×5 = 2^4 × 5

So the GCF is 2^4 wich is 16

He can make 16 party

● 80÷16 = 5

There will be 5 boxes of raisin in each one

● 96÷16 = 6

There will be 6 pencils in each party

Answer:

47/6

Step-by-step explanation:

Given that :

Time taken to paint 3 cars = 4 hours

Time taken to paint 2 trucks = 5 hours

How long will it take him to paint 4 cars and a truck

If 3 cars = 4 hours ;

Then ;

1 car = (4/3)hours

If 2 trucks = 5 hours

Then;

1 truck = (5/2) hours = 2 1/2 hours

Time required To paint 4 cars :

4 × (4/3) = 16/3 hours

Time required to paint 1 truck :5/2 hours

Total time required :

(16/3 + 5/2) = (32 + 15) / 6 = 47/6

Answer:

y = 4. [tex]3^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a[tex]b^{x}[/tex]

Use ordered pairs from the table to find a and b

Using (0, 4 ), then

4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus

a = 4

y = 4 [tex]b^{x}[/tex]

Using (1, 12 ), then

12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 3

Thus

y = 4 . [tex]3^{x}[/tex] ← exponential equation

Answer:

[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{12}[/tex]

[tex]\sqrt{(4)(3)}[/tex]

square root of 4 is 2

[tex]2\sqrt{3}[/tex]

the 3 stays inside