You have $142.26 in a bank account. The bank requires you to have at least $30 in your account or else you are charged a fee. Write and solve an inequality that represents the amount you can write your next check for without being charged a fee.

Answers

Answer 1

Answer:

$142.26 - x ≥ $30

x ≤ $112.26

Step-by-step explanation:

Let the amount you can write on your next check without being charged a fee be x.

Given that you are to have at least $30 in your account or else you are charged a fee then

$142.26 - x ≥ $30

To solve, collect like terms

-x ≥ $30 - $142.26

-x ≥ -$112.26

x ≤ $112.26

Note that on dividing both sides by -1, the sign changes from greater than to less than.


Related Questions

A crew is made up of 12 men the rest are women. 40% of the crew are men. How many women are in the crew.

Answers

Answer:

Step-by-step explanation:

let nr of women be x

12 men represents 40%

?women represents 100%

12*100/40=30

30 women and 12 men are in the crew

Does this look correct? Please tell the truth.

Answers

Answer:

Yea it does

Step-by-step explanation:

Answer:

it looks right to me

Step-by-step explanation:

100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question question

explains why preparing meals in space is more complicated than preparing meals on Earth. (respond directly )

Answers

Answer:

because in space there is something called microgravity. eating in mirco gravity can be very hard. salt and peppers just float away. and that can clog the air vents and go into astronauts nose and eyes.

Step-by-step explanation:

have a wonder ful day

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).​

Answers

Answer:

i don t this topic because i am the secundary

Step-by-step explanation:

.

The value of rocket's distance will be 51.66.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.

Now,

Since, When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.

And, The figure is shown the right triangle.

So, We can apply the Pythagoras theorem as;

⇒ x² = 50² + 13²

⇒ x² = 2500 + 169

⇒ x² = 2669

⇒ x = √2669

⇒ x = 51.66

Thus, The value of rocket's distance will be 51.66.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/17335144

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Someone help pls I'll give BRAINLIEST

Answers

Answer:

An obtuse triangle has one angle larger than 90 degrees (deg). Given information, the two base angles EDF and EFD are represented by one variable x, therefore they are equal.

The sum of all angles of any triangle is 180 deg so angles EDF + EFD + DEF = 180 deg

Since the obtuse angle must be larger than 90 deg, the sum of the other two angles must be less than 90.

Angles EDF + EFD < 90 and 90 < DEF can be re written

An inequality of angles EDF + EFD < DEF

Since angles EDF and EFD are equal to x their sum is (x + x) or 2x, so we can write

2x < 90 divide both sides by 2

{0 < x < 45} is all possible values of x.

A function can be written to represent this. The function will accept input of the obtuse angle and output the two equal acute angles.

F(x) = (180 - x) / 2

where x is the measure of the obtuse angle. Only works for symmetric triangle. F(x) is the measure of each of the other two angles.

3x + 6 < 2x - 5
How to solve

Answers

Answer:

x<-11

Step-by-step explanation:

3x+6<2x-5

subtract the far x to gather

1x+6<-5

subtract singles

1x<-11

simplify

x<-11

Does anyone know what the answer is
Thanks luvs xx

Answers

11 students like both English and maths but only 2 students like English but not maths
Reason:
n(u)= n(M) + n(E) +n(M union compliment E) - n(M intersect E)
26= 15+13+9-x
x=37-26
x=11 (which is the number of student who like both English and maths
Now,
The number of students who like English but not maths is
n(E) - x
=13-11
=2

9+9y=
9y-9=
9(y-1)=
9(y+1)=
9y+1=
1+9y=​

Answers

Answer:

Step-by-step explanation:

9+9y=18y

9y-9= y

9(y-1)=9y−9 simplifed

9(y+1)=9*1y

9y+1=10y

1+9y=10y

sorry if I got some wrong I tried my best.

For each set of points below, determine the distance between them
using the distance formula. Each answer in this problem will be an integer.
(10,-5) and (-6, 7)

Answers

Answer:

I need Help on this one too.

Step-by-step explanation:

please help

Answer:  The answer is 20

Step-by-step explanation: You use the distance forumula to find the distance between two points  

This, I need the answer to this

Answers

Answer:

Cos60=x/11

X=5.5cmmmmmmmmmmmm

Vertx: (3, 1)
Focus: (3,-1)

Answers

Answer:

i need help with this one two

Step-by-step explanation:

.

Justin got a gift card to Cold Stone Creamery. Every time he goes, he gets an ice cream sundae, and it costs $6.75. If he bought 4 ice cream sundaes, what number shows the change in value on his gift card?

Answers

Answer:

27

Step-by-step explanation:

27, because 6.75*4=27

20% of the girls in class have blonde hair. 16 girls do not have blonde hair. How many total students

Answers

The problem is to find how many students have either blond hair or glasses and then divide that by the total number of students; that will find the probability.
Since 7 have blonde hair and 9 have glasses, that would be a total of 16 persons if there were no overlap; that is, no blonde wears glasses and nobody who wears glasses is a blonde.
But there are 4 persons who have both blond hair and wears glasses. That means, of the 7 who are blondes, 3 of them do not wear glasses. And, of the 9 who wear glasses, 5 of them are not blondes.
So we have 3 who are blondes without glasses, 5 who wear glasses who are not blondes, and 4 blonds with glasses, for a total of 12 persons.
The probability is, therefore, 12/26 or 6/13.

What is the area of the base of the cone?

A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.

B = pi r squared
18 pi centimeters squared
81 pi centimeters squared
225 pi centimeters squared
324 pi centimeters squared

Answers

Answer:

81 pi centimeters squared

Step-by-step explanation:

Area of circle = πr²

18/2 = 9

π9²

π(9 x 9)

π81

the answer is b 81 pi centimeters squared

1. 8 feet to 10 feet *

Answers

Answer:

ratio 8:10

Step-by-step explanation:

the ratio is 8:10

Answer:

as a ratio 8:10

Step-by-step explanation:


Which of the following is the correct factorization of the polynomial below?
2x2. 12x + 18
A. 2(x-3)2
B. 2(x + 6)(x+3)
C. (2x + 6)(x+3)
D. The polynomial is irreducible.

Answers

Answer:2(x-3)2

Step-by-step explanation:

The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.

Answers

Answer:

[tex]Height = 40[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 10cm^2[/tex]

[tex]Base = \frac{1}{2}cm[/tex]

Required

Determine the height

Area of a triangle is calculated as:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Substitute values for Area and Base

[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]

[tex]10= \frac{1}{4}* Height[/tex]

Multiply both sides by 4

[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]

[tex]4 * 10= Height[/tex]

[tex]40= Height[/tex]

[tex]Height = 40[/tex]

Hence, the height is 40cm

A group of friends went on a drive. The graph below shows the distance the
friends traveled, in miles, over time, in hours.
Distance Traveled Over Time
Distance Tred
Time (in hours)
Based on the graph, which statement best describes the friends' drive?
A. The friends traveled at a slow pace, sped up, and then traveled at a quick pace.
B. The friends traveled at a slow pace, stopped, and then traveled at a quick pace,
C. The friends traveled at a quick pace, stopped, and then traveled at a slow pace.
D. The friends traveled at a quick pace, slowed down, and then traveled at a quicker pace.

Answers

Answer:

i'm not a 100% sure but i think the answer is C.

What is the value of x in the solution to this system of equations?
3 x-5 y= 22
y=-5 x + 32

Answers

Answer:

6.4

Step-by-step explanation:

The intersection point of 3x-5y=22 and y=-5x+32 is (6.4,0) on a graph, therefore, "x"=6.4

mortar is made by mixing water cement and sand in the following ratio 1 : 2 : 3 . how much of each component is needed to make 3kg of mortar​

Answers

Answer:

To make 3 kg of water, we need

0.5 kg water

1 kg cement

1.5kg sand

Step-by-step explanation:

Here, we want to calculate the mass of each component needed to make 3 kg of mortar

We work with the ratio

Total ratio is:

1 + 2 + 3 = 6

water

1/6 * 3kg = 0.5 kg

cement

2/6 * 3 kg = 1 kg

sand

3/6 * 3 = 1.5 kg

WILL GIVE BRAINLIEST!!!!!!!!!!!

Answers

Answer:

hey i am

please mark me as brainlist

6/100 equals what as a decimal?

Answers

Answer:

0.06  

Step-by-step explanation:

hope this helps

6 divide by 100= 0.06

Answer:

Step-by-step explanation:0.06

Justin is 2 years older
than 1/4 his brothers age.
Brother's age = 12
Justin's age =


A. 10
B. 6
C. 5

Answers

Answer:
5

Explanation:
1/4 of 12 = 3
2 + 3 = 5

Solve the system of linear equations by elimination.
8x - 5y = 11
4x – 3y = 5

Answers

I think this is the answer

8x - 5y = 11
4x - 3y = 5

Answer:

12x - 2y = 16

There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is 2 5 2 5 , yellow is 1 10 1 10 , and the probability of getting red is 3 10 3 10 , what is the probability of getting pink?

Answers

Answer: 1/5

Step-by-step explanation:

From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.

The probability of getting pink would be:

= 1 - [P(orange) + P(yellow) + P(red)]

= 1 - (2/5 + 1/10 + 3/10)

= 1 - (4/10 + 1/10 + 3/10)

= 1 - 8/10

= 2/10

= 1/5

The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.

Answers

Step-by-step explanation:

x+y=85

y=4+2x

[tex]x = 85 - y \\ y = 4 + 2(85 - y) \\ y = 4 + 170 - 2y \\ 3y = 174 \\ y = 58 \\ x = 85 - y \\ x = 27[/tex]

whiuch value makes the following equation true 2(x+8)= x+20

Answers

Answer:

x = 4

Step-by-step explanation:

2(x + 8) = x + 20

2x + 16 = x + 20

-x           -x

x + 16 = 20

   -16     -16

x = 4

Answer:

x=4

Step-by-step explanation:

2x  + 16 = x + 20

-x           -x

1x + 16 = 20

   - 16 = -16

1x = 4

1      1 = 4    (x=4)

ANSWER ASAP PLEASE I REALLY NEED HELP

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

You have a picture posted with it?

Turn 5-3(x+1)=2y-3x+2 into y=mx+b form

Answers

Answer:

Y=0

Step-by-step explanation:

We can write the given equation in the form of y = mx + b as -

y = 0x + 0.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is an expression as -

5 - 3(x + 1) = 2y - 3x + 2

The given expression is -

5 - 3(x + 1) = 2y - 3x + 2

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

2 - 3x = 2y - 3x + 2

2 - 3x + 3x - 2 = 2y

2y = 0

y = 0

y = 0x + 0

Therefore, we can write the given equation in the form of y = mx + b as -

y = 0x + 0.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

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Colin gets £r wages each week. After he pays his tax of £t, he then pays his rent of £190. He
shares whats eft between himself and his wife. How much do they each get?​

Answers

Answer:

[tex]\frac{r-t-190}{2}[/tex]

Step-by-step explanation:

Turn it into an equation

[tex]\frac{r - t - 190 }{2}[/tex] = There share

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