Grant pays $30 a month for his data package for his cellphone plus an additional 5 cents for each mega bite, m, used over his limit. Write an algebraic expression to represent Grant's data package expense per month

Answer:

Step-by-step explanation:

The questions is incomplete. Here is the complete question.

Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where  PQ ≈ RS. If PS=25, and PR=19, what is the value of QR

If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.

If Point Q is between P and R, then PQ+QR = PR ........... 1

Also if R is between Q and S, then QR+RS = QS ...... 2

Given

PS=25

PR=19

RS = PS-PR

RS = 25-19

RS = 6

Since PQ ≈ RS

Hence PQ = RS = 6

From equation 1;

PQ+QR = PR

substituting the resulting values

6+QR = 19

QR = 19-6

QR = 13

Hence the value of QR is 13

Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so  

30.75 multiplied by 12 is 369  

its C

for that it is 3 x 3/7

Answer:

3 x 3/7 is the answer but on your paper u can just say D hope this helps

Steps to solve:

g(x) = 3 - 2x when g(-1)

~Substitute

g(-1) = 3 - 2(-1)

~Simplify

g(-1) = 3 - (-2)

~Simplify

g(-1) = 3 + 2

~Add

g(-1) = 5

Best of Luck!

x = -3

y = -4

Hope that helped :)

Answer:

9/50

Step-by-step explanation:

First, convert the decimal into a fraction. In this case, convert .18 to 18/100. Find a common factor between the numerator and denominator, which in this case, would be 2. Divide both the numerator and denominator by 2 to get 9/50. 9/50 can't be simplified further, so this is your answer.

Answer:

[tex]\frac{9}{50}[/tex]

Step-by-step explanation:

0.18 is [tex]\frac{18}{100}[/tex].

Let's simplify the fraction:

[tex]\frac{18}{100}= \frac{18/2}{100/2}=\boxed{\frac{9}{50}}[/tex]

Hope this helps.

Answer:

see below (I hope this helps!)

Step-by-step explanation:

To get rid of the coefficient of w, 3/2 in this case, we must divide the entire equation by 3/2, which is the equivalent of multiplying the entire equation by 2/3. Doing this, we get:

3/2w * 2/3 = -20 * 2/3

w = -40/3 = [tex]-13\frac{1}{3}[/tex]

Answer:

[See Below]

Step-by-step explanation:

❶ It is irrational because to make it repeating it must be EXACT. In this case it is adding a 0 after every 1. So it'd be irrational since it doesn't have an end.

❷ Irrational because no one knows the end of pi. It doesn't have an ending so therefore irrational.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

Make m the subject of the expression below; 3. Make v the subject of the relation; 4. Given that v 2 = u 2 + 2as, express a in terms of u, v and s. Hence, find the value of a when u = 15, v = 20 and s = 5. 5. An expression is given as.

Author: Toolbar

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation:

Therefore, the square root of  [tex]25[/tex] so the square root of [tex]5.[/tex].

What is the square root?

A square root of a number [tex]x[/tex] is a number [tex]y[/tex] such that [tex]y = x[/tex]; in other words, a number [tex]y[/tex] whose square.

Here given number is [tex]25[/tex] so the square root of [tex]\sqrt{25}=5[/tex].

Hence, the square root of  [tex]25[/tex] so the square root of [tex]5.[/tex].

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Answer: Mrs Bell

Step-by-step explanation:

From the question, we are informed that Mrs. Bell has an interest rate of 4.175% = 0.04175 on her house and Mr. Bentley has an interest rate of 4.25% = 0.0425 on his house.

The person who has the lower interest is Mrs Bell. This is because 4.25% is higher than Mrs Bell's interest of 4.175%

Answer:

The answer is D

Step-by-step explanation:

Mrs bell has the lower interest rate because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.

Answer:

6x +2x

Step-by-step explanation:

when the number= x, you can just form the equation as per usual. 6x = a number times 6; 2x = a number times 2.

x is used bc the number is an unknown value. only x can be used bc it is stated the same number. hsing different alphabets such as y or z indicates the unknown value ia different.

Answer:

[tex]x ^{2} + 8x + 12[/tex]

Step-by-step explanation:

This works because of the method called "foil"

Answer:

C. 78 cm

Step-by-step explanation:

The mean of any given data set is calculated as sum of all data set divided by the number of data set given.

The data set for the height of Bella's corn given, is 81, 88, 69, 65, 87

Mean height of Bella's corn = [tex] \frac{81 + 88 + 69 + 65 + 87}{5} [/tex]

[tex] mean = \frac{390}{5} [/tex]

[tex] mean = 78 cm [/tex]

You are required to calculate the mean of the height, in other words, the average of the height

The mean of the height is 78

Given height

81, 88, 69, 65, 87

Mean = Total height / number of height

= (81 + 88 + 69 + 65 + 87) / 5

= 390 / 5

= 78

Mean of the height = 78

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Answer:

a.

Step-by-step explanation:

The volume of cube 4x².

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

We have,

Edges of cube as = 4 , x and x.

So, volume of cube

= 4 x (x . x)

= 4 . x²

= 4x²

Thus, the volume of cube 4x².

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Answer:

Step-by-step explanation:

80% = 80/100 which also = 4/5

so the price was reduced by 4/5

20 minus 4/5 is = to  20 minus 16/20

which is 20/20 minus 16/20 = to 4/20

simplified is 4 dollars

Answer:

The first two pairs of functions are inverse of each other

Step-by-step explanation:

Inverse functions?

1...................................

f(x) = {(-5, -9), (-3, -4), (0,1), (3,7), (6,13)}

g(x) = {(-9,-5), (-4, -3), (1,0), (7,3), (13,6)}

2...................................

f(x) = x + 7 is given

Inverse of f(x) is

Since g(x) = x - 7 it is inverse with f(x)

3...................................

Data of f(x) and g(x)

x = {2, 3, 4, 5}      f(x) = {3, 8, 15, 24}

x = {5, 4, 3, 2}      g(x) = {24, 15, 8, 3}

Answer:

bii) [tex] \frac{3118x^{2} }{1225} cm^{2} [/tex]

Please see the attached pictures.

*x represents the estimated distance on Map A

Answer:

0

Step-by-step explanation:

0 is considered a whole number, but it is not a natural number.  The natural numbers start at +1 and go forward.  ) is not positive or negative, but being that it is a whole number, it is also a rational number.

Answer:

6x-9

the- sign makes it a difference and the two terms are 6x and 9

Answer:

The missing variable r = 3

Step-by-step explanation:

C = 2πr

Where,

C = 18.84

π = 3.14

r= ?

The missing variable is r

C = 2πr

Making r the subject

r = C / 2π

= 18.84 / 2*3,14

= 18.84 / 6.28

= 3

r = 3

The missing variable r = 3

Check:

C = 2πr

18.84 = 2*3.14*3

18.84 = 18.84

Answer:     -20r + 40

Step-by-step explanation:

multiply by the variable

-20r + 40

-10 x 2r = -20r

-10 x -4 = 40

Answer:

the answer to your question is: -20r + 40

Answer:

$98.67

Step-by-step explanation:

109(.15)= $16.35 You multiply by .15 to find out what 15% of the total (109) is going to be discounted.

109-16.35= 92.65 You subtract the discount from the total to come up with the new total.

92.65(1.065)= 98.67225 =98.67 You take the discounted total, 92.65, and multiply it by 1.065 which represents how you will will be paying for sales tax.

Answer:

-720

Step-by-step explanation:

We are given the expression:

[tex]10x^3y^2[/tex]

and asked to evaluate when x= -2 and y= -3.

Therefore, we must substitute -2 for x and -3 for y.

[tex]10(-2)^3*(-3)^2[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Evaluate the first exponent.

⇒ (-2)³ = -2 * -2 * -2= 4*-2= -8

[tex]10(-8)*(-3)^2[/tex]

Evaluate the second exponent.

⇒ (-3)²= -3 * -3= 9

[tex]10(-8)*9[/tex]

Multiply 10 and -8.

[tex]-80*9[/tex]

Multiply -80 and 9.

[tex]-720[/tex]

The value of 10x³y² at x= -2 and y= -3 is -720

Answer:

4+8 = 12 , 6-3 = 3 , 2 x 3 = 6 , 12/6 = 2

the answer is 2

The expression 4 + 8 / 2 x (6 - 3) is equivalent to 16.

The Bodmas rule is arranged according to the letters in the acronym BOD MAS, which stand for brackets, order of powers or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BOD MAS rule, mathematical equations containing numerous operators must be resolved in the BOD MAS order, starting from the left.

The given expression is,

4 + 8 / 2 x (6 - 3)

Solve by using BODMAS rule,

4 + 8 / 2 x 3

Further solve,

4 + 4 x 3

4 + 12

16

The simplified value of the given expression is 16.

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10 ^-4

Use the negative exponent rule to get:

1/10^4 = 1/10,000 (fraction answer) or 0.0001 (decimal answer)

Answer:

  215

Step-by-step explanation:

if you divide 86 by 8 you should get 10.75 then once you find that, you will multiply 20x10.75 and you should get 215

Answer:

x = 22.66

Step-by-step explanation: