Hannah opened a bank account. She placed $120 into the bank account and added $30 per week. Now she has $450 in her account. A. Write an equation that represents her savings. B. Find the number of weeks that have passed since she opened her savings account. Explain how you arrived at your answer

Answer:44$

Step-by-step explanation:

7.3% of 41 is 2.993

add that to 41 and u get 43.993

round up and u get 44$

Answer:

106,81 inch ..............

Answer:

15

Step-by-step explanation:

Percentages represent a proportion of a number. This means that a percentage represents part of a whole.

In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.

Multiplication

One way to find a percentage is through multiplication.

Shortcut

Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.

Answer:

2/35

Step-by-step explanation:

Let w and b be the numbers of white and black balls in the bag respectively.

So, the total numbers of the balls in the bag is

[tex]n=w+b\;\cdots(i)[/tex]

As the bag can hold maximum 15 balls only, so

[tex]n\leq15 \;\cdots(ii)[/tex]

Probability of picking two white balls one after other without replacement

=Probability of the first ball to be white and the probability of second ball to be white

=(Probability of picking first white balls) x( Probability of picking 2nd white ball)

Here, the probability of picking the first white ball [tex]=\frac{w}{n}[/tex]

After picking the first ball, the remaining

white ball in the bag [tex]= w-1[/tex]

and the remaining total balls in the bag [tex]=n-1[/tex]

So, the probability of picking the second white ball [tex]=\frac{w-1}{n-1}[/tex]

Given that, the probability of picking two white balls one after other without replacement is  14/33.

[tex]\Rightarrow \frac{w}{n} \times \frac{w-1}{n-1}=\frac{14}{33}[/tex]

[tex]\Rightarrow \frac{w(w-1)}{n(n-1)} =\frac{14}{33}[/tex]

Here, [tex]w[/tex] and [tex]n[/tex] are counting numbers (integers) and 14 and 33 are co-primes.

Let, [tex]\alpha[/tex] be the common factor of the numbers [tex]w(w-1)[/tex] (numerator) and [tex]n(n-1)[/tex] (denominator), so

[tex]\frac{w(w-1)}{n(n-1)} =\frac{14\alpha}{33\alpha}[/tex]

[tex]\Rightarrow w(w-1)=14\alpha\cdots(iii)[/tex]

And [tex]n(n-1)=33\alpha.[/tex]

As from eq. (ii), [tex]n\leq 15[/tex], so, the possible value of [tex]\alpha[/tex] for which multiplication od two consecutive positive integers (n and n-1) is [tex]33\alpha[/tex] is 4.

[tex]n(n-1)=11\times (3\alpha)[/tex]

[tex]\Rightarrow n(n-1)=12\times11[/tex] [as [tex]\alpha=4[/tex]]

[tex]\Rightarrow n=12[/tex]

So, the number of total balls =12

From equation (iv)

[tex]w(w-1)=7\times (2\alpha)[/tex]

[tex]\Rightarrow w(w-1)=8\times7[/tex]

[tex]\Rightarrow w=8[/tex]

So, the number of white balls =8

From equations (i), the number of black balls =12-8=4

In the similar way, the required probability of picking two black balls one after other in the same way (i.e without replacement) is

[tex]=\frac{b}{n} \times \frac{b-1}{n-1}[/tex]

[tex]= \frac{4}{15} \times \frac{4-1}{15-1}[/tex]

[tex]= \frac{4}{15} \times \frac{3}{14}[/tex]

[tex]= \frac{2}{35}[/tex]

probability of picking two black balls one after other without replacement is 2/35.

Answer:

x = 26

y = 34

Step-by-step explanation:

Let the boxes stocked by Terri = x

Therefore the boxes stocked by Kay = x + 8 because he stocked 8 more boxes

Hence since they both stocked 60 boxes

x+x+8 = 60

2x = 60 - 8

2x = 52

divide both sides by 2

x = 26

Terri stocked 26 boxes and Kay stocked 26+8 boxes = 34 boxes

the Highest common factor of 130,260,390 = 130

130 = 2⋅5⋅13

260 = 2⋅2⋅5⋅13

390 = 2⋅3⋅5⋅13

Common multipliers (130; 260; 390): 2, 5, 13

Now to find the highest Common factor you need to multiply the common factors

Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130

Answer:

130

Step-by-step explanation:

130 = 2x5x13

260 = 2x2x5x13

390 = 2x3x5x13

common factors = 2, 5, 13

therefore, 2x5x13 = 130

Cheers!

Answer:

x+y≤15

6x+9y≥95

Step-by-step explanation:

Let x be the hours worked for babysitting and let y be the hours worked for house cleaning.

As Suzie babysits for $6 per hour. She also works as a house cleaner for $9 per hour.

Total hours she can work= 15 hours per week.

Hence,

x + y is less than or equals to 15

But since she wants to make at least $95 per week. It implies that,

6x + 9y is greater than or equal to 95

So from the statements above, the equations will be:

x+y≤15

6x+9y≥95

Answer:

3ft to 1ft

Step-by-step explanation:

24/8=3 and 8/8=1

Answer:

$6.75

Step-by-step explanation:

25 hours times $9= $225/week

3% increase from $9.00= $0.27

$9.27 times 25 hours= $231.75

$231.75-$225= $6.75 more per week

Step-by-step explanation:

b=70

c=70

a=70

they are all 70 because they are alternate angles. they are alternate to each other.

Answer:

b=70(vertical opposite angle)

b=a=70(alternate angle)

c=a=70(vertical opposite angles)

hope this will help you

Answer:

2 and 1/16th! ^^

Step-by-step explanation:

Answer:15/16

Step-by-step explanation:

1 1/4×3?4

= 5/4×3/4

= 5 × 3/4 × 4

= 15/16

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

100 on edge test

[tex]\huge{\fbox{\sf{ k= 12.2}}}[/tex]

Step by step explanation:

Step 1:

[tex]2k-6-7+3k = 48[/tex]

Step 2:

[tex]5k - 13 = 48[/tex]

Step 3:

[tex]5k = 48 + 13[/tex]

Step 4:

[tex]5k = 61[/tex]

Step 6:

[tex]k = 12.2✓[/tex]

Answer:

24

Step-by-step explanation:

[tex]\frac{1}{4}h=6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}h=6\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]h=24[/tex]

Hence, h = 24

~Learn with Lenvy~

Answer:

24

Step-by-step explanation:

*Combine multiplied terms into a single fraction

1/4h=6 → 1h/4=6

*Multiply by 1

1h/4=6 → h/4=6

*Multiply all terms by the same value to eliminate fraction denominators

h/4=6

4×h/4=4×6

*Multiply the numbers

h=4×6

=24

Answer:

-5

Step-by-step explanation:

since the formula for slope intercept form is y=mx+b

and mx stands for slope and b stands for the y-intercept the y-intercept would be -5

I'm certain that the answer is -5

I hope this helps, love!

Answer:

yes

Step-by-step explanation:

because both of them are horizontal straight lines

Answer:

f(- 4) = 30

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x), that is

f(- 4) = 5(2 - (- 4)) = 5(2 + 4) = 5(6) = 30

Answer:

The independent variable is the number of weeks

The dependent variable is the number of website she makes

N = 3w

Step-by-step explanation:

Number of website per week = 3

The independent variable is the number of weeks

The dependent variable is the number of website she makes

Let number of websites she can design when given any number of weeks = N

N = 3 * w

N = 3w

Where,

w = number of weeks

The equation is N = 3w

Step-by-step explanation: This is a geometric progression, so apply the formula:

[tex]ar^{n-1}[/tex], where a = first term in the sequence

r = common ratio

n = position of term

So first find r, which is the common ratio, and after that just substitute the numbers into the equation. n is the only thing that changes.

Refer to the picture for solving

(brainiest please :) )

Answer: I'm not sure but i think is 21

Answer:

The answers are number 1, 3 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

i belive it will be that baded on the fact it said twice as many rows.

Answer:

4, 9, 100, n^2

Step-by-step explanation:

Its very simple, all you have to do is find the number to the power of two because its a square.

Answer:

Step-by-step explanation:

To simplify, we multiply the like terms, which are the constant, and the s. For the constants of 1.5, and 3.5, we just do 1.5x3.5 to get 5.25, and when we multiply both s's together, we get [tex]s^2[/tex]. adding those 2 together, we get 5.25[tex]s^2[/tex]. so it would be the third one down.

please rate and mark as brainlest.

Answer:

C 5.25s2

Step-by-step explanation:

Answer:

57+16 is the same as 60+13

Answer:

57+16 is the same as 60+13

Step-by-step explanation:

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex]\boxed{x = -17}[/tex]

✽ Simplify both sides of the equation.

[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]

[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)

[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)

[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]

✽ Subtract 3/20 from both sides.

[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]

[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]

✽ Multiply both sides by 20/(-1).

[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]

Hence, x = -17

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer: For the first scale, u would put a cube and 8 spheres. For the second, u would put the total which is 12 so 12 spheres.

Step-by-step explanation:

The trash collected by all the three teams is shown by the 8 spheres and a box on one side of the scale. Since the weight was 12 pounds, it can be shown as 12 spheres on the other side of the scale

Im pretty sure this is right, Enjoy!

Answer:

40 degrees

Step-by-step explanation:

x= -12

52+(-12)= 40

since all angles are the exact same opposite the angle a would also be 40 degrees.