Marcus keeps a record of the money he has in his checking account. In January he wrote checks totaling $45. In February he made a deposit of $100. In March he did not deposit any money nor did he write any checks. Use integers to describe each month's activity in the account.
Answers
Marcus' account's activity is shown using integers in the table given below.
What are integers?An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (1, 2, 3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. The set of integers is frequently denoted by a Z in mathematical notation.Then,
In January Marcus wrote checks totaling $45.In February he made a deposit of $100.In March he did not deposit any money nor did he write any checks.So, the activity of Marcus account's using integers is shown in the table below.
Therefore, Marcus' account's activity is shown using integers in the table given below.
Know more about integers here:
https://brainly.com/question/17695139
#SPJ1
Related Questions
por que es nesesario expresar un numero mixto como 1 fraccion impropia?
Answers
Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
¿Qué es un número mixto y una fracción impropia?
En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.
Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:
El número mixto emplea tanto números enteros como fracciones, es de hecho la suma de un número entero y una fracción. (i.e. 1.5 = 1 1 / 2)La fracción impropia es solamente una fracción, en la cual el valor del numerador es mayor que el valor del denominador. (i.e. 1.5 = 3 / 2)Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
Para aprender más sobre números mixtos y fracciones impropias: https://brainly.com/question/21566055
#SPJ1
If Andrew's batting average is exactly 0.400 going into the series, and that value is based on exactly 2000 career hits out of 5000 previous times at bat, what is the least his average could possibly be when he
goes up to bat the tenth time of the series?
Answers
The least Andrew's average could possibly be when he goes up to bat the tenth time of the series is 0.399.
Here, we are given that,
Andrew's batting average = 0.400
Number of career hits for 0.400 batting average = 2000
Previous bat times for 0.400 batting average = 5,000
Now,
For the least possible average, he must have zero career hits in every match he bats.
Before the tenth time of the series, he will bat in 9 times
He must have 0 career hits in these 9 matches he bats in
therefore,
The total number of career hits = 2000
Total number of bat times = 5,000 + 9 = 5,009
Hence,
Average = (Total career hits) ÷ (Total number of times he bats)
= 2000 ÷ 5,009
= 0.399
Thus, the least his average could possibly be when he goes up to bat the tenth time of the series is 0.399.
Learn more about averages here-
https://brainly.com/question/282208
#SPJ9
A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for
$5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to findp, the number of pies the class needs to sell in order to earn enough money to
pay for the field trip?
A 5p+75 ≤ 386
B 5p+752 386
C 75p+52 386
D 75p+5≤ 386
Answers
I'd say its A because:
5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).
The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality relation be represented as A
Let the number of pies the class sells be p
Now , the equation will be
The total amount for the field trip = $ 386
The amount given to the students = $ 75
The cost of 1 pie = $ 5
So , the cost of p pies = 5p
Now , the total amount with the students = cost of p pies + amount given to the students
Substituting the values in the equation , we get
5p + 75 ≤ 386
Therefore , the value of A is 5p + 75 ≤ 386
Hence , the inequality relation is 5p + 75 ≤ 386
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?
Answers
Answer:
The correct answer is B, I took the test :)
You just turn the percentages into decimals
The probability distribution table is formed clearly in the answer part.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The probability for all the elements in the sample space can be shown in one table known as distribution table.
Suppose X be the event of choosing a major.
Then, its probability can be given as P(X).
Here, the percent value of a given event is equivalent to their probability.
It can be represented in the form of table as,
X (Major chosen by student) P(X) (Probability)
Math 3% = 0.03
Nursing 22% = 0.22
Psychology 16% = 0.16
Criminal justice 11% = 0.11
Business 48% = 0.48
This table is known as the probability distribution table.
Hence, the probability distribution table is formed by calculating the probability for each of the events.
To know more about probability click on,
https://brainly.com/question/11234923
#SPJ2
Find and simplify the difference quotient
f(x) = -x²+2x+5
f(x+h)-f(x)
————————
h
w an example
=
Get more help
f(x+h)-f(x)
——————
h
h#0 for the given function
Answers
Given difference quotient is f(x) = -x²+2x+5.
Simplified version is (f(x + h) - f(x))/h = 1.
What is difference quotient?If f(x) = x - 5, then
f(h) = h - 5
f(x + h) = (x + h) - 5
(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h
(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h
(f(x + h) - f(x))/h = h/h
(f(x + h) - f(x))/h = 1
since h ≠ 0.
The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).
The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.
That equation is known as a difference quotient because both the numerator and denominator are differences.
To learn more about difference quotient from the given link:
brainly.com/question/221207
#SPJ9
describe the translation from figure A to figure B
Answers
Answer:
The figure A is translated from the third quadrant to the second quadrant thus the formula used is P(x,y) = T(a,b) = Image of P(x+a, y+b). The object A and its image B are congruent and the direction and magnitude of the displacements are given by the direction and magnitude of translation vector t = ( a,b ). Where, a is the horizontal displacement ( along x-axis ) and b is the vertical displacement ( along y-axis ).
(4x+5)+(-5x-1) help me solve this I’m struggling
Answers
Answer:[tex]-x+4[/tex]
Step-by-step explanation:
Combine like terms:
[tex](4x+-5x)+(5+-1)[/tex]
[tex]= -x+4[/tex]
y+1-x when x=4 and y=5
Answers
Answer:
2
Step-by-step explanation:
Y = 5
x = 4
Substitute
5 + 1 - 4
6 - 4
2
Answer:
Given that x = 4 and y = 5,
[tex]\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2[/tex]
Therefore, the answer is 2.
Figure A is a scale image of Figure B.
What is the value of x?
FAST!!! 20 POINTS AND THE BRAINLIEST FOR THE FIRST CORRECT ANSWER
Answers
Answer:
21
Step-by-step explanation:
If A 45 translates to be 35, then x can be given by (35×27)÷45 =21
Is the product of 3/6 times 5/4 equal to the the product of 3/4 times 5/6? Explain
Answers
Answer:
Step-by-step explanation:
Yes the product is equal because even though the numbers may have changed places they did not change the position(numerator to denominator) vice versa.meaning the product of what is in the numerator is equal irrespective of the positions for an e.g in numerator part ion the first terms we have 3*5=15 and in the second scenario we have of course 3*5=15 same applies to the denominators 3*5=5*3The sum of a number and 7 is less than 15
Answers
The words translate into algebra as
n + 7 < 15
Subtract 7 from both sides to find n.
n = 15 - 7 = 8
3. Mr. Brown bought some new shoes for $76.34. If he paid with $100 bill, how much change did he get?
please explain in number form and as little as possible but still explaining
Answers
Answer:
23.66
Step-by-step explanation:
you just subtract the two.
100.00 - 76.34 = 23.66
Write an algebraic expression that represents the following situation: An Uber driver earn $15 per hour driving per day, but also spends $20 a day on gas. Let h represent the number of hours driven in a day. Write an expression for the amount of profit an Uber driver earns in one day.
Answers
Answer:
h * $15 - $20
Step-by-step explanation:
h - number of hours per day
$15 - earnings per hour
$20 cost per day
h * $15 - gross earnings per day
h * $15 - $20 - net earnings per day
There are 31 horses competing in a show, how many ways can the blue,red,and yellow ribbons be awarded
Answers
If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.
As per the question statement, 31 horses are competing in a show.
We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.
To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.
That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.
To solve this question, we just need to know the formula of permutation which goes as [tex][(nPr)=\frac{n!}{(n-r)!} ][/tex], i.e., we are to select an ordered set or "r" from a set of "n".
As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get
[tex](31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.[/tex]
That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.
Probability: In mathematics, probability of an event is the extent to which it is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.Permutation: In mathematics, a permutation of a set is an arrangement of its members into a particular sequence, or if the set is already ordered, a rearrangement of its elements.To learn more about permutations, click on the link below.
https://brainly.com/question/14767366
#SPJ9
Jade is stranded downtown with only $10 to get home. Taxis cost $0.75 per mile, but there is an additional $2.35 "hire" charge. Write a formula and use it to calculate how many miles Jade can travel with her money.
Answers
She starts with 10 dollars and when she get a taxi they will charge 0.75 per mile (x) and this will add a 2.35 fee at the end
If we solve for x formula ends as:
X=(10-2.35)/0.75
How do you solve for x if x/5 = 7/3
Answers
We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
An equation is a combination of two expressions connected by an equal sign.
We are given an equation:
x / 5 = 7 / 3
We need to find the value of x.
Multiply both sides by 5
x / 5 × 5 = 7 / 3 × 5
x = 35 / 3
Now, we will divide 35 by 3 and round off the result to two decimal places:
x = 11.67
Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ9
Two dozen eggs and a loaf of bread cost K4.94. Half a dozen eggs and two loaves of bread cost K2.32. Find the cost of a dozen eggs.
Answers
The cost of a dozen of eggs is $3.
Given two dozen eggs and a loaf of bread cost K4.94 and
Half a dozen of bread cost K2.32
Cost of a dozen of eggs = ?
we know that, 24E ₊ B = 8.50 and
6E ₊ 2B = 6.50
multiply the first equation by 2 and substract
48E ₊ 2B = 17
6E ₊ 2B = 6.50
after solving both equations we get:
42E = 10.50
we are searching for the value of a dozen eggs, which is 12E
multiply 42E = 10.50 by 12/42 = 6/21
and you get
12E = 10.50 × (6/21) \\ 10.50 = 21/2
12E = (21×6)/(2×21)
12E = 3
so a dozen eggs cost 3 dollars.
Hence we get the cost of a dozen of eggs as $3
Learn more about Linear equations here:
brainly.com/question/14294864
#SPJ9
3. Find the circumference of the circle. Use 3.14 for the value of . Round your answer to the nearest tenth. 64.1 in 63.4 in 19.9 in 62.8 in 20 in
Answers
Answer:
62.8 in
Step-by-step explanation:
The circumference, C. of a circle with diameter d is given by the formula
[tex]C = \pi d[/tex]
Here [tex]\pi = 3.14[/tex] and [tex]d = 20[/tex] in
So circumference = 3.14 x 20 = 62.8 inches
Eli runs a distance of 3 miles in 2/5 of an hour. Jess runs a distance of 4/5 mile in 1/10 of an hour. Who had the faster speed? show your work.
Answers
Jess had the faster speed than Eli.
We have the relation connecting Distance travelled, Time taken to travel and the speed given by,
Distance Travelled = Speed x Time taken
Here, we need to find the speed of Eli and Jess to find out who was faster.
So we use the formula, Speed = Distance travelled / Time taken
Distance travelled by Eli = 3 miles
Time taken by Eli = 2/5 hour
Speed of Eli = Distance / Time taken
= 3/(2/5)
= 15/2 = 7.5 miles per hour
Distance travelled by Jess = 4/5 mile
Time taken by Jess = 1/10 hour
Speed of Jess = Distance / Time taken
= (4/5)/(1/10)
= 8 miles per hour
Comparing the speeds of Eli and Jess, Jess had the faster speed of 8 miles per hour.
Learn more about Speed at https://brainly.com/question/3004254
#SPJ1
Amanda is framing her pool for resurfacing. The pool began with 14,340 gallons of water and it is draining at a rate of 880 gallons per hour. How long has the pool been draining if currently there are 8,840 gallons in the pool.
Answers
The number of hours that the the pool been draining if currently there are 8,840 gallons in the pool is 6.25 hours.
How to calculate the time?Let the time taken be represented by h.
Therefore, the appropriate expression will be:
14340 - 880h= 8840
Collect like terms
880h = 14340 - 8840
880h = 5500
h = 5500/880
h = 6.25 hours
The number of hours is 6.25 hours.
Learn more about time on:
brainly.com/question/10428039
#SPJ1
Hi ~
I need help please...
I know this is a simple question.
but- I just want to know if someone can solve this without cheating at all... and make into your own words.
[tex]\rightarrow{\sf{{What \: is \: -26x \: - \: 12 \: = 15?[/tex]
Thanks~
Answers
Answer:
x would equal -1.03(1 DP)
"-26x - 12 = 15, solve for x."
Step-by-step explanation:
Start with adding 12 to both sides of the expression. Sides were switched purposely.
[tex]15 + 12 = -26x - 12 + 12[/tex]
Next, simplify your addition process. You do this by using a specific rule.
[tex](-a) = a\:\:\mathrm{if\:a\neq 0}\\-26x = 26x\\26 + (x)\\= 26 + 1\\= 27\\= -26x=27[/tex]
Lastly, we are going to divide both sides by -26(x was cancelled).
[tex]\frac{-26x}{-26}=\frac{27}{-26}[/tex]
Thus,
[tex]x= -1.03[/tex]
➲ Hope this helps, address any concerns if needed.
Answer:
x = -1.038
Step-by-step explanation:
- 26x - 12 = 15
- 26x = 15 + 12
- 26x = 27
x = - 27/26
x = - 1.038
__________
hope this helps!
Your club is baking vanilla and chocolate cakes for a bake sale. They need at most 25 cakes. You cannot have more than 10 chocolate cakes. Write a system of inequalities to model this system. Let x be the number of vanilla cakes and y be the number of chocolate cakes.
Answers
The inequalities are x + y <= 15 and y <= 10.
How to express the inequality?It should be noted that inequality are used to how the relationship between expressions that are unequal.
Let x = the number of vanilla cakes.
Let y = the number of chocolate cakes.
They need at most 25 cakes. This will be x + y <= 15.
They cannot have more than 10 chocolate cakes. This will be:
y <= 10.
Therefore, the inequalities are x + y <= 15 and y <= 10.
Learn more about inequalities on:
brainly.com/question/2281974
#SPJ1
The image below has the following translation: (x, y) → (x +4, y - 1)
Determine the ordered pair for F' after the translation.
a. F' (-1, 3)
b. F' (-9, 5)
c. F' (8, -6)
d. F' (4, -1)
Answers
Find the missing side length, s.
help!!
Answers
Answer:
The missing side length is 11.
Step-by-step explanation:
On the smaller figure the AB side is 6 and on the bigger figure the XY side is 9. There was an increase of 3 so that means there will be an increase of 3 on the XZ side compaered to the AC sdie witch is 8. 8 + 3 = 11.
Is a = 8 a solution to 6 = a/4 + 2
Answers
Can someone please find x ?
Answers
Answer:
Step-by-step explanation:
Evaluate this 5 2/3 + 11/12 =
pls tell me the answer ASAP
Answers
Answer:
6[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Another way to write 5 2/3 is to change this into an improper fractions. Another names for 1 is 3/3. I am going to add 5, 3/3 to 2/3
3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 2/3 = 17/3
We want to add this to 11/12, but to do that we need a common denominator. I need to make an equivalent fraction of 17/3 where 12 is the denominator
[tex]\frac{17}{3}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{68}{12}[/tex] Now we can add the two fractions together.
[tex]\frac{68}{12}[/tex] + [tex]\frac{11}{12}[/tex] = [tex]\frac{79}{12}[/tex] = 6[tex]\frac{3}{4}[/tex]
How many chicks will hatch from 4,500 eggs if on average 87 chicks hatch from 100 eggs?
Answers
Answer:
33915
Step-by-step explanation:
87% is the average, so you have to find 87% of 4500.
Did Cameron beat his best golf score
Answers
Answer: i do not know
Step-by-step explanation:
cause i do not know
Sheila is baking cookies. The radius of each cookie is 4 centimeters.
What is the circumference of each cookie (use 3.14 for pi and round to
the nearest tenth)?
Answers
The circumference of each cookie is 25 cm.
Circumference is usually referred to the outer length of a circle.
If 'r' is the radius of a circle, then the circumference of the circle is given by 2πr, where π = 3.14.
Here, the radius of the each cookie, r = 4 cm
Then the circumference of each cookie = 2πr
= 2 x 3.14 x 4
= 25.12
= 25 cm
[Rounding to the nearest tenth, as 1 and 2 are less than 5, 25.12 will be 25]
Learn more about circumference at https://brainly.com/question/14283575
#SPJ1