Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.

Answers

Answer 1

Answer: 395+30x

Step-by-step explanation:

Given : Mitchell has $395  now.

He saved $30 each week.

Let x be a variable that represents the number of weeks.

Since, Total amount = Current money + (Money save each week ) (Number of weeks)

Then,  Total amount =  (395 ) + (30)(x)

= 395+30x

Hence, the required algebraic expression= 395+30x

An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .

Related Questions

9x9+3x3=
what does that equal too

Answers

Answer:

252

9x9=81 +3=84

84x3=252

Answer:

90

Step-by-step explanation

(9x9)+(3x3) so first i multiplied 9x9= 81.

then i did 3x3 which is 9

then i added 9+81=90

so the answer is 90

Ricardo está lendo um livro. Em um dia ele leu 1/3 do livro e no dia seguinte leu 1/6 do livro. Então calcule: a) A fração do livro que ele já leu b) A fração do livro que falta para ele terminar a leitura

Answers

I’m guessing I might be 2/3

Please help I've been stuck on this for a while ​

Answers

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

z/3+y=5/3  first equation

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y=-11/3  second equationz/3+y=5/3  first equationeliminate y

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

z=-1x=(13-2z)/3 ( find x, bu substitute z=-1)

x=(13+2)/3

x=15/3 ⇒ x=5x+y+z=6

5+y-1=6

y=6+1-5

y=2

The Ideal selling price for a certain car is $26,000. The make a good deal app indicates that local prices could vary by 6 percent. What is the lowest price you could expect to find?

Answers

Answer:

($26,000/100)*94 = $24,440

Step-by-step explanation:

Divide 26,000 by 100 and multyply by 94 (100% - 6%) =  $24,440

Which numbers are​ rational? The​ dots, . . . ​, indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.90990999 . . . Which numbers are​ rational?

Answers

II. 9.234 it ends rather than continuous numbers

Can someone help me please?

Answers

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

Answers

this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

Compare [tex]2^{\frac{1}{2} }[/tex] and [tex]3^{\frac{1}{3} }[/tex]

Answers

2 1/2 plus 1 is 3 1/2. 3 1/2 is one number ahead.

Greetings from Brasil...

Before comparing mixed fractions, let's make them inappropriate

2 1/2 = 5/2

3 1/3 = 10/3

Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)

2 1/2 = 5/2 = 15/6

3 1/3 = 10/3 = 30/6

30/6 > 15/6  then

3 1/3 > 2 1/2

A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle

Answers

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

0.00035
Write each number in scientific notation.​

Answers

Step-by-step explanation:

For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).

Answer:

0.00035 = 3.5 × 10 to the -4

Hope it helps :)

Please help I’m not getting the right answer

Answers

Answer:

its c

Step-by-step explanation:

Does it make sense to represent the number 15.3 using scientific notation yes or no?

Answers

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Simplify 7(x + 3). 7x + 3 7x + 10 7x + 21 x + 21

Answers

The answer is 7x+21
Explanation: you have to distribute 7into c and three. So you would multiply 7 by x (or 1x) and 7 times 1 is 7 so it would be 7x and then you would multiply 7 times 3 which is 21 and there are no like terms with 7x and 21 so it’s just 7x+21

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

what sequence of transformations on the red triangle will map it onto the missing portion of the square

Answers

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

solve 3(2d-1)-2d=4(d-2)+5​

Answers

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

Q8
The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Answers

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]

A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the

playing field?

The width is yards.

The length is yards.

Answers

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

Given:

Perimeter of the rectangular field = 430 yards.

Let:

The length of the field be L

The width of the field be W.

From the question:

The length of the field is 5yards less than quadruple the width. This implies that;

L = 4W - 5

But.

Perimeter (P) of a rectangle is given by:

P = 2(L + W)       ---------------(i)

Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;

430 = 2(4W - 5 + W)

430 = 2(5W - 5)

430 = 10W - 10

10W = 430 + 10

10W = 440

Divide both sides by 10

W = 44

Therefore, the width of the field is 44 yards.

Remember that,

L = 4W - 5          

[Now substitute W = 44]

L = 4(44) - 5

L = 176 - 5

L = 171

Therefore, the length of the field is 171 yards

Factorise :
[tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]
Show workings too!​

Answers

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

help ASAPPP !!!!!!!!!!!!!!!!!!!Find the midpoint of the line segment joining points A and B.
A(6,- 7); B(2,3)

Answers

Answer:

(4,-2)

Step-by-step explanation:

coordinate of midpoint(x1+x2)/2, (y1+y2)/2

x1=6, x2=2 , y1=-7, y2=3

x=6+2/2 ⇒8/2=4

y=-7+3/2 ⇒ y=-4/2=-2

(4,-2)

solve the equation for x​

Answers

Answer

x = 15

Step-by-step explanation:

[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]

Distribute 15 through the parentheses

[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]

Multiply the numbers : 40 and 6

[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]

Subtract 15 from 240

[tex] \dashrightarrow \: \sf{15x = 225}[/tex]

Divide both sides by 15

[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 15}}[/tex]

Hope I helped!

Best regards! :D

Move theses numbers (0.1, 8/7, -1, 2/3, 0.05 )to the blanks to order them from least to greatest value. ​

Answers

Answer:

-1,  0.05,  0.1,  2/3,  8/7

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First turn every number into a decimal that can be turned into a decimal:

  ✧ 0.1

  ✧ 1.14 (8/7)

  ✧  -1 (Can't be turned into a decimal)

  ✧ 0.66 (2/3)

  ✧ 0.05

✦ Now just order them from Least to Greatest:

  ✧ -1, 0.05, 0.1, 0.66, 1.14

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

Whoch of the following statements are true? Select all that apply

Answers

Answer:

C and D

atleast 20 characters to explain it well

How are the expressions 8 - 15 and 8 +(15) alike? How are they different?

Answers

Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.

They are different because one expression is subtract both numbers while one expression is adding both numbers.

8 - 15 = -7

8 + 15 = 23

Best of Luck!

Karyn wanted to cut three lengths of wood from a 10 foot long board. The length of threepieces she wanted to cut were feet, feet, and feet. How much of the 10 footboard would be left over?

Answers

Answer:

[tex]Wood\ remain = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Note; given question is incomplete

Size of pieces = [tex]1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}[/tex]

Given:

Size of wood = 10 ft

Find:

How much wood remain

Computation:

Wood remain = [tex]10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}[/tex]

[tex]Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}[/tex]

Pleease help me please im giving good points i thin

Answers

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ

Answers

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Solve the equation for the specified variable.
S = BC-9, for B
B =
Algebra 1 btw

Answers

S+9/C=B first u cancel the 9 out by adding 9 to both sides, then u divide both sides by C so the C in BC gets cancelled out, leaving u with B

x²-x-2(area)
x + 1(base)
The triangle above has an area of x2-x-2 and a
base of x + 1. What is the height of the triangle?​

Answers

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )

Cual es la de Raiz de 2000

Answers

2000 | 2

1000 | 2

500 | 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2000 = √2².√2².√5².√5

√2000 = 2.2.5√5

√2000 = 20√5

(aproximadamente 44.72135955)

estimate the value of √13. round to the hundredths.

Answers

[tex]\sqrt{13}[/tex] = 3.60555127546

rounded to the nearest hundredth:

3.61

Other Questions
solve the equation below for x2/3(x-18y)=6y Is (6/5, 2) a solution to y = x + 4/5 Good X and Good Y are related goods. When the price of Good X rises by 20 percent, the quantity demanded for Good Y falls by 40 percent. What is the cross-price elasticity? the middle of oceanic ridges are ____________. Enter the number in standard notation.7x 102=PLEASE HELP FAST if its 10:24 a.m. and i need to finish my online school work by 12:50 pm how much time do i have to d do my work? An electron with a speed of 0.95c is emitted by a supernova, where cc is the speed of light. What is the magnitude of the momentum of this electron? Write a cubic binomial with constant -8. Why does Willem most likely wake up so tired What is the imagery in the sound of thunder 3.) a + 40 = 0 What is the value of a?a = Which of the following is true about a line? It has one endpoint. It has two endpoints. It has two dimensions. It has one dimension. In your experience, how do we define the roles of men and women? Are these roles helpful, or are theylimiting? What are the possibilities and problems that can come with rejecting these roles? An adult usually has 32 teeth. People sometimes lose some of their teeth. Pat has only 5/8 of her teeth left. How many teeth has she lost? What were some major events and battles that happened with the Chaldeans? A commercial aircraft is in steady flight. The overall lift to drag coefficient is 25. The other flight data are: (i)Weight of aircraft (including crew and passengers) = 70,000 kg (ii) Flight speed 400 km/hr (iii) Average wing span = 50 m (iv) Average wing chord = 7 m When in operation 20% of fuel power is lost. Find the power required for this steady flight. (5M) Which polynomials are in standard form?Choose all answers that apply:5 - 2xB24 8x2 16523 + 4x4 3x + 1DNone of the above Is 813.1 a rational number? i need this asap pls it would b v appreciated 1. Which of the following is a true statement? *To square a number, multiply the number by 2.The inverse of squaring a number is to divide the number by 2.To square a number, multiply the number by itself.O A perfect square is a number whose square root is an even number. Two consecutive numbers have a sum of 27. What is the smaller number?