Abigail has $400 in her savings account. She wants to keep at least $160 in the account.
She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.

Answers

Answer 1

Answer:

400-40x x=6

Step-by-step explanation:

400 in total. minus 40 each week (x)

40 × 6= 240

400-240=160


Related Questions

Classify the triangle shown by its sides and angles. Check all that apply.
73°
349
730
Equilateral
Scalene
Isosceles
Obtuse
Right
Acute
Equiangular

Answers

I think it might be scalene

6.58+7.64-10.006 adding and subtracting decimals

Answers

Answer:

4.214

Step-by-step explanation:

Original Equation:

6.58 + 7.64 - 10.006

Add 6.58 to 7.64

14.22

Subtract 10.006 from 14.22

4.214

Hope this helps :)

Please consider Brainliest :)

Given m = -6/5 and the point (6,5), which of the following is the point-slope form of the equation?

Answers

Y = mx + b
Y = -6/5x + b
5 = -6/5(6) + b
5 = -7.2 + b
b = 12.2
Equation: y = -6/5 + 12.2

PLEASE HELP WHO KNOWS THIS?

Answers

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Find the area and perimeter pls

Answers

Answer:

Perimeter: 23.8 feetArea: 24 square feet

Step-by-step explanation:

To find the perimeter, add the lengths of all of the sides.

9.9 + 7.5 + 6.4 = 23.8

To find the area of a triangle, multiply the height by the width, and then divide by two.

7.5 * 6.4 = 48

48 / 2 = 24

My number has ones, tenths and hundredths. Rounding to the nearest whole number, you get 4. Rounding it to the nearest tenth, you get 3.5. The number of the hundredths is greater than 3. What number am I?

Answers

Answer:

3.54

Step-by-step explanation:

Well, we know it has to be 3.5 as our ones, and tenths place, (Thats what I did), and we know it can't be less than 3 for our hundredths place

If we do 0.05, or more as our hundredths place, than we won't be rounding right for the tenths place, so it has to be 3.54

The number in question that shows the decimal digits is; 3.54

We are told that the number has;

- Ones

- tenths

- hundredths

Thus means that the number is in 2 decimal places.

If we approximate to the nearest tenth and get 3.5, it means that the last number on the right of the decimal which is the hundredths is less than 5. It also means that the first number to the right of the decimal will remain as 5.

We are now told that this hundredths number is greater than 3. Thus, the hundredths number is 4.

If the approximation to the nearest whole number gives 4, it means that the number before the decimal will be 3.

Thus,in conclusion, the number is 3.54.

Read more at; https://brainly.com/question/12458734

Reduce the matrix
[1,2,-1;-1,3,3;0,2,-1]
to echelon form​

Answers

Answer:

[1, 0, 0; 0, 1, 0; 0, 0, 1]

Step-by-step explanation:

[1, 2, -1; -1, 3, 3; 0, 2, -1]

Row Operation 1: Add 1 times the 1st row to the 2nd row:

[1,2,-1;0,5,2;0,2,-1]

Row Operation 2: Multiply the 2nd row by 1/5:

[1,2,-1;0,1,2/5;0,2,-1]

Row Operation 3: Add -2 times the 2nd row to the 3rd row:

[1,2,-1;0,1,2/5; 0, 0, -9/5]

Row Operation 4: Multiply the 3rd row by -5/9:

[1,2,-1;0,1,2/5; 0, 0, 1]

Row Operation 5: Add -2/5 times the 3rd row to the 2nd row:

[1,2,-1;0,1,0;0,0,1]

Row Operation 6: Add 1 times the 3rd row to the 1st row:

[1,2,0;0,1,0;0,0,1]

Row Operation 7: Add -2 times the 2nd row to the 1st row:

[1,0,0; 0,1,0;0,0,1]

A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?
draw it pls

Answers

Answer:144

Step-by-step explanation:12 x 3 x 4=

Answer:

144

Step-by-step explanation:

Find the missing side lengths leave your answerss as radicals??

Answers

Answer:

x= 3√3y= 3

Step-by-step explanation:

1) Add 30+90 to get 120 and subtract 180-120= 60 as your third angle.

2) Take sin60= x/6 to get x= 3√3

3) Take sin30= y/6 to get y= 3

Here's a tip to verify this answer.

Use Pythagorean Theorem to do:

Square root of (3√3)^2 + 3^2 which equals 6 as your hypotenuse!

Which statement is true ?
I will give brainliest to the person who answers correctly.

Answers

Answer: A
Explanation: Area of a rectangle = length * width= 2 * 5n = 10n. So Jenny was correct and Alan was wrong (because the length of the rectangle is not 2n; it is just 2)

someone please help ;-; ​

Answers

So for A Write all numerators above the least common denominator Add the numbers
7
-
12

WILL MARK BRAINLIST!

Answers

The answer is B I’m almost sure

Solve the equation:
y^2=-11y

Answers

Answer:

-5.5

Step-by-step explanation:

divide both sides by y which deleted y on the right side. then the left side turns into y instead of y squared. then you have y equals -5.5

A photo 5 inches wide and 8 inches long is enlarged.

How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?

The new photo is_long if it is 10 in wide.
The new photo is_long if it is 15 in wide.
The new photo is_long if it is 8 in wide.

Answers

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

Hence, the length of new photo=12.8 in

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2. Width= x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width = x=8 in

Substitute the values in the given formula

Hence, the length of new photo= 12.8 in

A kite is flying 99 ft off the ground, and it's string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the nearest tenth

Answers

Answer:

150.90 feet

Step-by-step explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}[/tex]

So, the length of the string is 150.90 feet.

Explain in words the equation 42÷6=

Answers

Answer:

The quotient of forty-two and six is seven.

Please help if u get these all right i will mark brainliest

Answers

Answer:

1st: 8x +2

2nd: 17x + 11

3rd: 8x + 19

4th: 9x + 125

5th: 17x + 21y + 18

Answer:

2(4x+1)/8x+211+17x19+12x²9x+12517x+18+12y

Step-by-step explanation:

were becca and celia both correct or both wrong?​

Answers

where's the problem? lol

The Point (0,0) is a solution to which of these inequalities?

Answers

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

What is the slope of the line that contains these points?

Answers

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)


What number can be replaced with K to make
this a function?
(-5,8) (4,9) (K, 9) (9,9)

A)-5
B)4
C)-9
D)9

Answers

C
-9 because a function is when an input has only one output
you don’t want to repeat the first numbers in the bracket
and there’s -5, 4 and 9 already so its -9

what does it mean to be a function how can you determine functionality of a relation or eqaution graph

Answers

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

Find the derivative of cos^4(5x^2)

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \cos^4 (5x^2)[/tex]

Step 2: Differentiate

Basic Power Rule [Derivative Rule - Chain Rule]:                                       [tex]\displaystyle y' = 4 \cos^3 (5x^2)[\cos (5x^2)]'[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   [tex]\displaystyle y' = 4 \cos^3 (5x^2) \sin (5x^2) (5x^2)'[/tex]Basic Power Rule [Derivative Property - Multiplied Constant]:                 [tex]\displaystyle y' = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Atlantic boat rental charges a $35.50 deposit fee plus $12.25 per hour to rent the boat. Pacific boat rental charges $25.99 plus $14.99 per hour to rent the boat. How many hours would you have to rent the boat for the cost of both rentals be the same? Select the equation that represents this situation. 35.50 - 12.25x = 25.99 - 14.99x 35.50 - 12.25x = 25.99 - 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50x + 12.25 = 25.99x + 14.99 35.50x + 12.25 = 25.99x + 14.99 12.25x - 35.50 = 14.99x - 25.99

Answers

Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

5.Monty made a scale drawing of his room on grid paper, as shown below.

If each square on the grid paper represents a side length of 2 feet, what is the length, in feet,

of the longest wall in the room

Answers

Answer: 16 feet

Step-by-step explanation:

Looking at the drawing, the longest wall in the room is the horizontal length of the scale drawing.

Looking at the longest wall, the number of squares with a side length on the line of the wall are 8 in number.

If each square represents a side length of 2 feet, the length of the wall will be;

= 2 * 8

= 16 feet

Translate the phrase into algebraic expression seven more than twice Jose’s height using the variable J to represent Jose height what would be the algebraic expression

Answers

Answer:

2j+7

Step-by-step explanation:

Phrase Into Algebraic Expression

If a problem is correctly phrased, it should be easily translated into algebraic language by following simple and concrete rules.

We have the phrase:

7 more than twice Jose's height.

Usually, we first deal with products and divisions before sums and subtractions because of the natural order of mathematic operations.

In the given phrase, the '7 more' part is left to the end and we start with the 'twice' part because it's a product.

Since we are using the variable j for Jose's height, then twice Jose's height is 2j.

Now we finish the expression by adding 7: 2j+7

Thus, the translation to algebraic expression is: 2j+7

6. Explain why 4 tens is greater than 4 tenths. (2 marks)​

Answers

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

THIS IS IMPORTANT!!!! WHO EVER CAN DO EVERYTHING IN THE PICTURE RIGHT ILL GIVE ALL NY POINTS TO!

Answers

Answer:

Step-by-step explanation: welp

Answer:welp

Step-by-step explanation:

Is there an ordered pair to both of these linear equations?

Y= x+1

Y= -x+5

Answers

Answer:

Yes (2,3)

Step-by-step explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

Answer:

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

Substitute in y:                         x + 1 = -x + 5Add x on both sides:               2x + 1 = 5Subtract 1 on both sides:         2x = 4Divide 2 on both sides:           x = 2

Step 3: Solve for y

Define original equation:                    y = x + 1Substitute in x:                                     y = 2 + 1Add:                                                      y = 3

Step 4: Graph

We can graph the systems and check if the point is the actual solution set.

3) How many counting numbers less than 50 are multiples of both 3 and 5?

Answers

Answer: 3 numbers

Step-by-step explanation:

For this questions to be solved, we need to write the multiples of both 3 abd 5 that are less than 50. This will be:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45.

Common multiples = 15, 30 and 45

Therefore, the numbers that is less than 50 that are multiples of both 3 and 5 are 3 numbers

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