Sophie buys x packages of graph paper for $2.55 each (tax included). She pays with a $20 bill.
Write an algebraic expression to represent the amount of change the cashier should give back to Sophie.

Answer: 162

Step-by-step explanation:

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

Answer:

between -6 and -4 (-5), because -A is opposite from A

Answer:

it will be 6/5

............

Answer:

5/6

Step-by-step explanation:

-5/6 + 5/6 = 0

The additive inverse of a number makes the equations value 0.

Brainliest is much appreciated!

Answer:

6x^4 - 2x^3/ x^2 - 25

Step-by-step explanation:

On A

Answer:

X= -24

Step-by-step explanation:

1/4x+8 = 0

1/4x = -8

1/4x(4) = -8(4)

X = -24

:)

Answer:

[tex]f^{-1} (x)=\sqrt[3]{x} -2[/tex]

Step-by-step explanation:

Answer:

f − 1 ( x ) = 3 √ x − 2

Answer:

117,649

Step-by-step explanation:

Good luck! <3

Answer:

7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.

76 stands for the mathematical operation exponentiation of seven by the power of six.

As the exponent is a positive integer, exponentiation means a repeated multiplication:

The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).

Thus, we can answer what is 7 to the 6th power as

7 to the power of 6 = 76 = 117649.

Answer:

All answer is same at it is

Step-by-step explanation:

Because there is no hundred place.

hope it helps

Answer:18 6/7

Step-by-step explanation:

Answer:

the answer is

=18 6/7

Step-by-step explanation:

Answer:

she has to drive another 300 miles

Step-by-step explanation:

120/2=60 so 60*5=300

Answer:

300 miles left

Step-by-step explanation:

here's why if she is driving already 2 miles which is 120 and she is going to to drive for 5 hours, 5 hours is 300 miles which that means she has left 300.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each piece of the graph is a horizontal line extending the length of the domain for that piece. The ≤ symbol means the corresponding line end will have a filled dot. The < symbol means the corresponding line end will have an open dot.

Answer:

usstatizdnnetfilesd95/75690717474315a12d328c49bbc6aae3png

Step-by-step explanation:

Go check my graph out! Remember to add https!

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

13/3?

I think it is but so you put 13/3 into a proper fraction so 4 1/3

The improper fraction that lies between 4 and 5 given the values in the option is 13/3.

Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.

In order to determine the answer, the improper fraction would be converted to mixed fractions.

To learn more about fractions, please check: https://brainly.com/question/25779356

Answer:

no pic or nothing but here is a number 324

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8(2)-8

=16-8

=8

PLS GIVE BRAINLIEST

Answer:

8

Step-by-step explanation:

plug in

8(2) - 8

16-8

8

Answer:

the first one i think

Step-by-step explanation:

-3 is the y-intercept and that i all i got, sorry :(

Answer:

Its the first one! <3

Answer:

3(a+2b)=11b

3a+6b=11b

3a=5b

a/b=5/3

a:b=5:3

Answer:

a:b = 5:3

Step-by-step explanation:

I do RSM too, just type in 5:3! Good luck and have a wonderful day.

Answer:

-11(-12)=132

Step-by-step explanation:

First divide 132 by negative 11 and get -12.

Then you connect -12 into the equation by using paraenthisies so its not a mess.

Last check your answer. -11 times -12 is equal to positive 132.

The value of 't' for the given expression will be -12.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is -11t = 132. The value of t will be calculated as below;-

-11t = 132.

Divide the number -132 by -11 to get the value of t.

-11t = 132.

t = -132 / -11

t = -12

Therefore, the value of 't' for the given expression will be -12.

To know more about an expression follow

https://brainly.com/question/18715058

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Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]

Compute the number of ways to select 37 people from 101 as follows:

[tex]{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}[/tex]

        [tex]=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775[/tex]

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Answer:

Here's the answer

Step-by-step explanation:

9/2g^4-18g^3+24g^2-12g+2

its long

The triangle shown is an isosceles triangle because the lengths of the two legs are equal.

Therefore, The triangle shown is an isosceles triangle because the lengths of the two legs are equal.

So,  [tex]\frac{9}{2} g^{4} -18g^{3} +24g^{2} -12g+2[/tex] is the standard form polynomial expression represents the area of the triangle.

Learn more about Isosceles triangle here:

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Answer:

alr go to a therapist please

Step-by-step explanation:

Answer:

The 1st, 2nd and 5th options are correct.

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

①Rewrite the given equation into the form of y=mx+c to find the gradient.

[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]

Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].

② Find gradient of unknown line.

The product of the gradients of perpendicular lines is -1.

Let m be the gradient of the unknown line.

[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]

③Substitute the value of m into the equation.

[tex]y = \frac{3}{20} x + c[/tex]

④ Find the value of c by substituting a pair of coordinates.

When x= -7, y= 3,

[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].

Thus, the 4th option is incorrect.

Writing c as an improper fraction,

[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]

Thus, the 1st option is correct.

-3 from both sides of the equation:

[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]

Factorise 3/20 out of the right hand side:

[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]

Thus, the 2nd option is correct.

The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.

Let's look at the 5th option.

[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]

×20 on both sides:

[tex]20y = 3x + 81[/tex]

-20y on both sides:

[tex]3x - 20y + 81 = 0[/tex]

-81 on both sides:

[tex]3x - 20y = - 81[/tex]

Thus, the 5th option is also correct.

Answer:

B. y=(5x)/(1 + 2x^2)

Step-by-step explanation:

A. y = (5x)/(x * x^2)

Vertical Asymptotes: x = 0

B. y = (5x)/(1 + 2x^2)

Vertical Asymptotes: None

C. y = (5x - 1)/x

Vertical Asymptotes: x = 0

D. y = x/(1 - x^2)

Vertical Asymptotes: x = -1, 1

I hope I am right ...

Answer:A

Step-by-step explanation:

Answer:

D ) 25t + 10

Step-by-step explanation:

Re-order terms so constants are on the left:

(5t+2) 5

5 (5t +2)

Distribute:

5 (5t +2)

25t +10

Answer:

25t +10

Answer:

Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:

1) q(x) = 1/(x^2 - 9)

 a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9

 b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:

  [tex]\lim_{x \to \ 3} q(x) = infinity[/tex]

 c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)

2) q(t) = (2*t^2 + 3)/t^2

 a) q(2) =  (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4

 b) q(0) = (2*0^2 + 3)/0^2 = 3/0

  Again, we can not divide by zero, this is simmilar to the case 1.b

 c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2