Answer:
[tex]Balance = \$21[/tex]
Make a withdrawal of $21
Step-by-step explanation:
Given
[tex]Beginning = \$50[/tex]
[tex]Checks = \$23[/tex] (2 checks)
[tex]Withdrawal = \$5[/tex]
[tex]Deposit = \$22[/tex]
Solving (a): Show final balance
The transaction can be expressed as:[tex]Balance = (Beginning + Deposit) - (Withdrawal + Checks * Number\ of\ checks)[/tex]
i.e.
Add cash inflow
Subtract outflow
This gives:
[tex]Balance = (\$50+ \$22) - (\$5+ \$23* 2)[/tex]
[tex]Balance = (\$50+ \$22) - (\$5+ \$46)[/tex]
[tex]Balance = (\$72) - (\$51)[/tex]
[tex]Balance = \$72 - \$51[/tex]
[tex]Balance = \$21[/tex]
Solving (b): Get account balance to 0
To get his account to 0, he needs to make a withdrawal of the exact amount in his account (i.e. $21)
So, all he needs to do is to make a withdrawal of $21
Juanita's family traveled 3/8of the distance to her grandfather’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to her grandfather’s house was traveled on Sunday?
Answer:
3/8
Step-by-step explanation:
If they traveled 3/8 on day one, then 5/8 is left. So find what 3/5 of 5/8 is. I think it should be 3/5 times 5/8 which equals 3/8. So on Sunday they traveled another 3/8 of the total distance.
Probability, The correct answer gets brainliest.
What is the simplified value of the expression below?
1/3 divided by 2/3
Answer:
6/3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
find the coordinates of B' after a reflection across the x-axis. show your work
Answer:
B'(8, 6)Step-by-step explanation:
Coordinates of point B = (8, -6)
Reflection across the x-axis results in:
(x, y) → (x, -y)Coordinates of B'
(8, -6) → (8, -(-6)) = (8, 6)Find each product !!
Simplify. 1/2(12k-6)
Answer:
Step-by-step explanation:
1
2
(
1
2
−
6
)
\frac{1}{2}(12k-6)
21(12k−6)
Simplify
1
Combine multiplied terms into a single fraction
1
2
(
1
2
−
6
)
1
(
1
2
−
6
)
2
2
Multiply by 1
Solution
1
2
−
6
2
1
2
(
1
2
−
6
)
\frac{1}{2}(12k-6)
21(12k−6)
Simplify
1
Combine multiplied terms into a single fraction
1
2
(
1
2
−
6
)
1
(
1
2
−
6
)
2
2
Multiply by 1
Solution
1
2
−
6
2
pls mark brainliest
Question 1 (4 points)
(05.01)
The graph shows the distance a car traveled, y, in x hours:
A coordinate plane graph is shown. The x-axis is labeled time in hours, and the y-axis is labeled distance in miles. The line passes through the points 2 comma 80, and 3 comma 120.
What is the rise-over-run value for the relationship represented in the graph? (4 points)
Question 1 options:
1)
40
2)
80
3)
1 over 40
4)
1 over 80
9514 1404 393
Answer:
1) 40
Step-by-step explanation:
The rise between the given points is 120-80 = 40.
The corresponding run is 3 -2 = 1.
Then the rise/run is ...
40/1 = 40 . . . . matches option 1
Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. (Note: All of the apples are whole.)
List 3 possibilities for the number of apples that could be in the girls' baskets.
If Claire has
apples, then Alice has 2 apples.
If Claire has
apples, then Alice has 7 apples.
If Claire has
apples, then Alice has 10 apples
Answer:
6 apples, 21 apples, 30 apples respectively
Step-by-step explanation:
Let us first start by writing expressions so that we can easily solve for the problems below.
Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.
1. If Alice has 2 apples (x), then Claire has 3x
3*2=6 apples
Claire has 6 apples.
2. If Alice has 7 apples (x), then Claire has 3x
3*7=21 apples
Claire has 21 apples.
3. If Alice has 10 apples (x), then Claire has 3x
3*10=30 apples
Claire has 30 apples.
I hope this helps! Please let me know if you have any further questions :)
zab is x years old now. What is his age 7 years from now ?
Answer:
x + 7
Step-by-step explanation:
N/A
Answer:
x + 7
Step-by-step explanation:
We don’t know his current age so we can use x to represent it. In 7 years, he will obviously be 7 years older so that will be addition.
Best of Luck!
help help please I dont know how to do this
Answer:
50
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
78 + 124 + 75 = 277
360 - 277 = 83
The sum of three numbers is 20. The sum of twice the first number, 5 times the second
number, and 6 times the third number is 83. The difference between 7 times the first
number and the second number is 51. Find the three numbers.
Answer:
well this is required for ur knowledge and ur experience but i could give u an example if u want
last week i had lied to my step mother about something that was small, she found out emediatly that i was lying and got mad. she asked me why do i lie to her so much and i couldnt answer cuz i didnt know. i lied to her many times before and did some other stuff to her such as stealing and lying about important stuff. yesterday when she finally wasnt mad at me we talked long and hard and she told me that each time i lied or stole from her it broke alittle bit of her trust in me, she asked me if it was cuz i just didnt like her and i told her no and that i saw her as a family memember but she told me she didnt believe me and that she cant believe a thing i say due to how much i lied to her. there was a lot of tears after that long talk and after i calmed down i did some stuff and then started thinking of reasons why i did the things i did. then i started thinking of how i could of fixed it. a way i could of fixed the issue before it was even an issue was i could of not lied nor stole from her, i could of told her how i felt instead of holding my emotions in. id love to fix what i lost but its not possible. a way i could fix the issue i have rn is try not to lie and try to convince her to trust me. something i want to take back during our talk? not saying anything at all.
now im not saying any of that was true but its a good example of what to say during this essay you could use ur own words and ur own problem to explain how you could fix,repair and all that other stuff. just use ur own story for the essay. in ur own words and story try to answer all the questions asked.
If you had to relive that situation all over again, how would you fix the fight or keep it from turning into one?
Think about the following questions and then write several paragraphs in response: When did the fight occur, and what was it about?
Who was at fault—you, the other person, or both of you?
Why do you think it ended poorly?
In general, what would you have done differently?
What could you have said differently that would have let the other person know you were listening?
If you could take back something you said during the fight, what would it be?
What do you wish you would have said during that fight?
Did the fight result in your not being friends or not getting along with that person anymore?
Would you want repair your relationship with this person again?
If so, what are some possible ways to fix the damage?
focus on those questions when doing ur work and explain in detail how u would of fixed it or made it better :)
hope this helps and sorry it was so long anyways ik im asking a lot but if i helped can i get brainliest?
Andrew writes the name of a month on a piece of paper and turns it over. Siobhan then guesses what month Andrew wrote down. To find the probability that Siobhan guesses the correct month, Andrew needs to know the total number of possible outcomes
There are 12 possible outcomes (12 months). This means the chance Siobhan guesses the month Andrew wrote down is 1/12 or 8.333%
Use this list of numbers to answer the following questions:
0,4, -2, 2/3, -1.8, 16, 3.2,-5/4
1. Which numbers are rational numbers that are not integers?
2. Of the remaining numbers, which are integers but not whole numbers?
3. Of the remaining numbers, which are whole numbers?
1.
ans= -1.8 and 3.2,
2.
ans= -5/4 and 2/3
3.
ans= 0,4 and 16
Hope it helps.
Answer:
1. 2/3 ,-5/4 , -1.8 , 3.2
2. -2 and 0
3. 4 and 16
Step-by-step explanation:
1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.
In this case : 2/3 ,-5/4 , -1.8 , 3.2
2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.
In this case : -2 , 0
3. Whole numbers remaining are ;
4 and 16
PLEASE HELP ME THIS IS DUE TODAY with both please
Answer:
Step-by-step explanation:
example 2: 108/36
example 3: 63/27
100 Points...
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
I need the number of hours
reasons
evidence
reasoning and counterargument
Answer:
17.2413793103 hours
Step-by-step explanation:
100 divided by 5.8 = 17.2413793103
hope this helps!
The floor plan shows a length of 12 inches and a width of 8 inches. The scale is 1 inch: 10
feet
What is the length of the actual room?
What is the width of the actual room?
What is the area? Don't forget in include the correct dimensions HINT HINT
Answer:
length: 120 feet
width: 80 feet
area: 9600 feet^2
Step-by-step explanation:
since the scale is 1 inch:10 feet:
to find the actual length, we would multiply 12 by 10, since 1 inch would be 10 feet and the length in the floor plan is 12 inches:
length = 12*10=120
the length of the actual room is 120 feet.
to find the actual width, we would multiply 8 by 10, for the same reasons i explained for the length:
width = 8*10=80
the width of the actual room is 80 feet.
to find the area, we would multiply length by the width:
80*120=9600 square feet.
Answer:
length= 120 feet
width= 80 feet
Area=9,600 feet
Step-by-step explanation:
each inch equals 10 feet
12×10=12
8×10=80
area=length×width
120×80=9600
Using substitution, what is the first step to solve: x=6y+3 and x+2y=5.
Answer:
x= 9/2 y=1,4
Step-by-step explanation:
Hope this helped you! :)
Answer:
Step-by-step explanation:
Remark
You could do it a very convoluted way or you could do it simply. The simple way, I think, is the one intended. The x on the second equation is sitting by it itself. So is it in the first equation. Put the x from the first equation into the second.
Solution
x=6y+3 ===> x+2y=5.
6y + 3 + 2y = 5 First Step
8y + 3 = 5 Subtract 3 from both sides
8y = 5 - 3 Combine
8y = 2 Divide by 8
y = 2/8
y = 1/4
============================
x = 6y + 3
x = 6*(1/4) + 3
x = 6/4 + 3
x = 1.5 + 3
x = 4.5
Solution (4.5 , 0.25)
John drove 255 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 411 miles?
Answer:
19.6 gallons
Step-by-step explanation:
225/10=441/G
cross multiply
225G=10*441
225G=4410
G=4410/225
G=19.6 gallons of gas
Problem 2 Find all the divisors of the number 2,310. How do you know that you found them all?
9514 1404 393
Answer:
1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,
55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
Step-by-step explanation:
The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...
2×3×5×7×11 = 2310
There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.
1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,
55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
Of course, the pairwise products working toward the center from the ends of the list are all 2310.
A set of college student heights are normally distributed with a mean of 170.4 centimeters and a standard deviation of 10 centimeters. What proportion of student heights are between 145 centimeters and 171 centimeters? You may round your answer to four decimal places.
Answer:
0.550127
Step-by-step explanation:
Prob ( 145 < x < 171) =
Prob ( (145 - 170.4)/10 < z < (171-170.4)/10 ) =
Prob ( -2.54 < z < 0.14) =
Prob ( z < 0.14) - Prob ( z< -2.54) =
0.550127
Answer:
0.5184
Step-by-step explanation:
Your chance of winning the Mega Millions lottery jackpot if you buy one ticket is 1 in 303 million. Suppose that each week you buy 50 tickets. How long, on average, will it take you to win the jackpot?
Answer:
116,538.462 years i think
Step-by-step explanation:
I think it's just 303,000,000/50 = weeks it would take (average)
which would be 6,060,000 weeks or 116,538.462 years
Can somebody please help...I don’t understand it would mean a lot ❤️
Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
Answer:
Step-by-step explanation:
The slope-intercept equation for a line is y = mx+b, where m is the slope and b is the y-intercept.
Refer to the picture. You can see that the line crosses the y-axis at (0,8), which means the y-intercept is 8.
The graph shows the path of a hiker walking up the hill. When he goes from one blue dot to the next, he has moved 2 units to the right and 1 unit up. The slope of the hill is ½.
Slope-intercept equation for line of slope ½ and y-intercept 8:
y = ½x+8
There is nothing to simplify.
Please help solve this!
Answer:x=8
Step-by-step explanation:
Corresponding angles are equal in parallel lines
So, 17x-4=12+15x
17x-4=12+15x
17x=16+15x
2x=16
X=8
Which expression is equivalent to 3x+7+2x
Answer:
5x + 7
Step-by-step explanation:
Add 3x and 2 x
April's Discount Flowers was having a sale where their wedding flower packages were discounted for $140 for the silver package and $150 for their gold package. If Emily ordered 3 silver packages and 2 gold packages, how much did she spend total on flowers?
Answer:
Step-by-step explanation:
She spent $820
Expression A: 3x + 4
Expression B: 2+ 3x + 2
Which statement can be used to show that these expressions are equivalent?
A. The expressions name the same number regardless of the value
of x.
B. Both expressions involve addition,
C. Each expression includes the term 3x.
D. 3x + 4 can be rewritten as 2 + 3x + 2 using the distributive
property
Answer:
D.
Step-by-step explanation:
3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).
Use the distributive property to find the value of x.
-1.2(3 - x) = -1.8
-3.6 + 1.2x = -1.8
1.2x = 1.8
x=
Answer
x=1.5 :)
Step-by-step explanation:
What single percentage change is equivalent to a 17% decrease followed by a 9% increase?
Translate each into algebraic expressions
the reciprocal of a number decreased by 6?
Answer:
'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:
1/n - 6Step-by-step explanation:
Background knowledge about the reciprocal of a number
In order to get the reciprocal of a number, we divide 1 by the number.
For example,
The reciprocal of number 9 is 1/9.
In our case,
The word phrase is:
''The reciprocal of a number decreased by 6''.
Breakdown of the phrase:
Let the number be = n
The reciprocal of a number n = 1/n
Now, the reciprocal of a number decreased by 6 means we need to subtract 6 from the 1/n.
i.e. 1/n - 6
Thus,
'The reciprocal of a number decreased by 6' is translated into an algebraic expression such as:
1/n - 6write a model that represents 4 x 2/3?
Answer:
mhhh
Step-by-step explanation: