Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?

[tex]\huge\bold\green{Answer:-}[/tex]

Greatest common factor (GCF) of 10 and 40 is 10.

GCF(10,40) = 10

[tex]\huge\bold\red{Explanation:-}[/tex]

We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.

Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 2¹ × 5¹

Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 2³× 5¹

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5

Factors of 40

List of positive integer factors of 40 that divides 10 without a remainder.

1, 2, 4, 5, 8, 10, 20

Greatest Common Factor

We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 10 and 40 is 10.

The Greatest Common Factor of 10 and 40 is 5.

The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)

For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

We have to find the greatest common factor of 10 and 40.

So factorizing each number

10 = 2 x 5

40 = 2 x 2 x 2 x 5

Here the common factor of 10 and 40 is

= 2 x 5

= 10

Thus, the Greatest Common Factor is 10.

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Answer:v= 17/48

Step-by-step explanation:

-12v=1/4-9/2 move constant to the right hand side and change its sign

-12v=-17/4 subtract the fractions

v=17/48 divide both sides by -12

Answer:

3.5 = y

Step-by-step explanation:

2.5y + 6 = 4.5y - 1

2.5y + 7 = 4.5y

7 = 2y

3.5 = y

Check:

2.5y + 6 = 4.5y - 1

2.5(3.5) + 6 = 4.5(3.5) - 1

2.5(3.5) + 7 = 4.5(3.5)

8.75 + 7 = 15.75

15.75 = 15.75

Answer:

[tex]y=3.5[/tex]

Step-by-step explanation:

[tex]2.5y+6=4.5y-1[/tex]

Start by subtracting [tex]6[/tex] from both sides of the equation:

[tex]2.5y=4.5y-7[/tex]

Subtract [tex]4.5y[/tex] from both sides of the equation:

[tex]-2y=-7[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-2[/tex]:

[tex]y=3.5[/tex]

_

Check your solution by substituting the solved value of [tex]y[/tex] ([tex]3.5[/tex]) into the initial equation:

[tex]2.5(3.5)+6=4.5(3.5)-1[/tex]

[tex]8.75+6=15.75-1[/tex]

[tex]14.75=14.75[/tex]

Since both sides of the equation are equal to each other, our solution is correct!

Answer:

x = 20

Step-by-step explanation:

13+7=20

x = 20

Answer:

3

Step-by-step explanation:

3

The value of the function h(x) at x equal to 4 is -2.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given function is  h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-

h(x) = -x + 2,

h(x) = -(4) + 2,

h(x) = -2

Therefore, the value of the function h(x) at x equal to 4 is -2.

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Step-by-step explanation:

explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

Answer:

27 remainer of 0

Step-by-step explanation:

The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.

The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.

Read on to find the result of 513 divided by 19 in decimal notation, along with its properties.

Answer:

Im pretty sure slope is 21 and y intercept is 15

The slope is 21 and the y-intercept is -33 of the graph of function h.

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx+ c.

The function is given in the question below as

f(x) = –7x + 9

⇒ f(x) = –7x + 9

Add 2 to the input of f to create a new function g,

⇒ g(x) = –7x + 9 + 2

⇒ g(x) = –7x + 11

Now, multiply the output of function g by –3 to create function h.

⇒ h(x) = (–7x + 11) × -3

⇒ h(x) = 21x - 33

Compare to the line's slope-intercept form,

Therefore, slope = 21 and y-intercept = -33

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Answer:

True

Step-by-step explanation:

.

Anwer is true yea it true

Answer: it will be $16.4

Step-by-step explanation:

Answer: 16.40

Step-by-step explanation:

82 * 20 = 16.40

Answer:

y= 2x+1

Step-by-step explanation:

Answer: uhh

Step-by-step explanation:

I really don’t know how to do it.

Answer:

49

Step-by-step explanation:

so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer

Answer: -5

Step-by-step explanation:

substitute 0 for y

Answer: 1

Step-by-step explanation:

The y axis goes up and down. The slanted line meets the Y axis at 1.

Answer:

1

Step-by-step explanation:

the y intercept would be 1 because that’s where the line passes through the y axis. A more mathematical term would be, the y intercept is (0,1)

Answer:

y= 1/2x +3

Step-by-step explanation:

The Anwser is $128.32.

Answer:

46 or 0.46

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

1-3/0--1 = -2/1 = -2

The slope is -2

y=-2x+b

1 = -2(0)+b

1 = b

The y-intercept is 1

The equation is

First, we want to find the slope. To do this we use the equation y2-y1 / x2-x1. For the problem, we use the points (-1,3) and (0,1). This would look like: 3-0/1--1. This would simplify to 3/2. To find the y-intercept, find the point (0, y). In this problem, that point would be (0,1). Now you can plug this into y = mx+b. Therefore, your equation is y = 3/2x + 1.

Answer: So, the coterminal angle of 450° is -90°.

Step-by-step explanation:(i) 395°  

Write 395° in terms of 360°.

395°  =  360° + 35°

So, the coterminal angle of 395° is 35◦

(ii) 525°

Write 525° in terms of 360°.

525°  =  360° + 165°  

So, the coterminal angle of 525° is 165°.

(iii) 1150°

Write 1150° in terms of 360°.

1150°  =  3(360°) + 70°  

So, the coterminal angle of 1150° is 70°.

(iv) -270°

Write -270° in terms of 360°.

-270°  =  -360° + 90°

So, the coterminal angle of 270° is 90°.

(v) -450°

Write -450° in terms of 360°.

-450°  =  -360° - 90°  

So, the coterminal angle of 450° is -90°.

Answer:

6

Step-by-step explanation:

[tex]\sqrt[3]{216}[/tex] = 6

Answer:

35 students

Step-by-step explanation:

15 Boys and 20 girls

Hope this is what you needed!

Answer:

Step-by-step explanation:

3 Boys= 4 Girls

[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]

[tex]\frac{3}{4} = \frac{boys}{20}[/tex]

boys= 15

Total students: 15+20=35 students

Answer:

[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.

We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can clearly identify the following points in the green line: (0,4) (5,0):

[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]

Now we have the slope and the point, the equation of the line is:

[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]

[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]

Answer:

Step-by-step explanation:

So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.

Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.

Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.

We can see that both numbers have 120 in common, so we shall use that.

We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.

We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.

And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.

So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.

Answer:

ARMY-BTS

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

B.)y = 1.50x + .75

Step-by-step explanation:

Answer:

It'll take 11 years till they're the same