Jenny started with $5 in her piggy bank and earns an
allowance of $2 every 3 days.
Mika had saved $16 in his piggy bank from babysitting
but he spends $3 a day to buy a soda on his way home
from school.
Let x represent the number of days that have passed and
y represent the amount of money they have.
When will Jenny and Mika have the same amount of
money?

Answer:

D.

Step-by-step explanation:

the factors are (x-1)(x+4)(x-4)

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅

Answer:

number of children admitted to the zoo=70

let adult =a

let children=c

a+c=165........equation 1

10a+7c=1440.......equation 2

a=165-c........equation 3

substitute equation 3 in equation 2

10a+7c=1440

10(165-c)+7c=1440

1650-10c+7c=1440

-10c+7c=-210

-3c=-210

c=70

Therefore children =70

Answer:

C.6

Step-by-step explanation:

Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.

Hope I helped!!!

Answer:

.072 / 345.00 = 0.0002086956

the tenth place is the fist digit to the right of the decimal point

so it would round to 0.0

Step-by-step explanation:

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

To learn more about equations click :

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Answer:

Thank youuu !

Step-by-step explanation:

Answer:

Thank you

Step-by-step explanation:

Answer:

x=4 b=-4/3

Step-by-step explanation:

for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.

for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4

Answer:

Step-by-step explanation:

A right circular cylinder has a volume of 1296 cubic inches

The volume of a cylinder = πr²h

Step 1

We find the radius

1296 inches = πr²h

r² = 1296/π ×>h

if the radius of the cylinder is divided by 12 what be the volume in cubic inches of the smaller cylinder

Answer:

k = 6

Step-by-step explanation:

Parent function of the given graph → f(x) = (x - 1)²

If the parent function is shifted 6 units up.

Equation of the translated function will be → g(x) = (x - 1)² + 6

g(x) = f(x) + 6

Therefore, k = 6 will be the answer.

Answer:

153.86 mm²

Step-by-step explanation:

Radius of circle = diameter/2 = 14/2 = 7mm

Area of circle = πr² = (3.14)(7mm)²

= 3.14 x 49 mm²

= 153.86 mm²

Answer:I think it is 89

Step-by-step explanation:

Answer:

29 degrees

Step-by-step explanation:

Both angles are the same.

Answer:

i'm pretty sure there's no solution

Answer:

Step-by-step explanation:

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

Answer:

C) 26x + 3

Step-by-step explanation:

Perimeter = 7x + 2 + 5x - 3 + 9x + 7 + 5x - 3

combine like terms:

Perimeter = 26x + 3

Answer:

5 5/8

Step-by-step explanation:

This is in the simplest form

Answer:

Step-by-step explanation:

S= 180 - ( 62 + 90)

=180-152

=80

So S = 80

Answer:

28°

Step-by-step explanation:

none needed

Answer:

wrong right right wrong right wrong

Step-by-step explanation:

70/ 130= 53.8%

4th row 3rd one to the right

2nd row, 2nd one to the right.

21/156 = 13.4%

70/130 = 53.8% round to get 54%

21/156 = 13.4%

so 2nd 3rd 5th apply

Answer:

39

Step-by-step explanation:

So there are 9 values. (1 to be added). First we add them all up. And we need to add another value. So the mean is all of the values added up, divided by the number of numbers. If we add another value, then there'll be 10 values. 24x10 is, of course, 240. If you add all of the given values, you get 201. And we can easily create the equation, x+201=240, and x, or the missing value, is obviously 39.

Answer:

I believe it's 20 seconds.

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Answer:

390.7ft³ is the answer

Answer:

275 - 11=264

Step-by-step explanation:

Answer:

the answer is 24 centimeters

Answer:

The answer should be that Q is (-3,-2)

Step-by-step explanation:

Answer:

the answer is 70

Step-by-step explanation:

Because I'm in collage I know this stuff just trust me here