Answer:
The final answer is "$2387.85 and $2594.85".
Step-by-step explanation:
Given values:
The bank statement balance= $2,253.18
The checkbook balance = $2,324.34
outstanding check amounts= $105.50 and $158.10
transit amount= $605.27
account earnin(credits)= $68.51
service charge= $5.00
Adjusted Checkbook Balance =?
Adjusted Statement Balance=?
Adjusted the Checkbook Balance:
checkbook balance = $2,324.34
[tex]\text{total checkbook balance = checkbook balance+ credits}\\[/tex]
[tex]= \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85[/tex]
[tex]\text{ Adjust check book balance= total checkbook balance - servicec charge}[/tex]
[tex]= \$2392.85 - \$5.00\\\\= \$ 2387.85[/tex]
Adjusted the Statement Balance:
bank statement balance= $2,253.18
[tex]\text{total Statement balance = bank Statement balance+ transit amount}\\[/tex]
[tex]= \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45[/tex]
[tex]\text{outstanding check amounts = $105.50+ $158.10}[/tex]
[tex]= \$263.60[/tex]
[tex]\text{ Adjust statement balance= total statement balance - outstanding check amount }[/tex] [tex]= \$ 2,858.45 - \$263.60\\\\= $ 2,594.85[/tex]
#1) Select the lie from the dropdown below.
All real numbers are
whole numbers.
All whole numbers are real numbers
All integers are rational
numbers.
Answer: All real no. are whole no.
Step-by-step explanation:
Because real no. consists of both rational and irrational no. but whole no. consists of only positive no, i.e. 0,1,2,3,.....
Solve by factoring:
5x^2 + 19x + 12 = 0
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Answer:
-0.27
Step-by-step explanation:
5x^2=25x
25x+19x=44x
44x+12=0
-12=0-12
44x=-12
44x/44=-12/44
x=-0.27
The decimal expansion of the rational number 97/2x5^4 will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) four decimal places
7) Tom is deciding whether or not he should become a member of the gymſto use their basketball courts. The
membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but
they have to pay $11 each time. How many times would Tom need to rent the court in order for it be cheaper to be a
member than a non member?
Answer:
15 times for it to be equal, 15+ to be cheaper
Step-by-step explanation:
135+2x=11x
135=9x
135/9=x
15=x
135+2(15)=165$
11(15)=165$
Answer:
16 times
Step-by-step explanation:
Create an inequality where x represents the number of times he rents out the court:
2x + 135 < 11x
Solve for x:
135 < 9x
15 < x
So, Tom would have to rent the court out 16 times for it to be cheaper
6x + 2x - 9 = 7
Solve the equation and simplify the answer
Answer:
x=2
Step-by-step explanation:
6x+2x-9=7
Combine like terms on each side of the equation
8x-9=7
Add 9 to each side
8x=16
Divide by 8 on each side
x=2
Simplifying
6x + -2x + -9 = 7
Reorder the terms:
-9 + 6x + -2x = 7
Combine like terms: 6x + -2x = 4x
-9 + 4x = 7
Solving
-9 + 4x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9
Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9
Combine like terms: 7 + 9 = 16
4x = 16
Divide each side by '4'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
What are some objects that could be used to represent points, lines, and planes?
Answer:
Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window, wall or a door. Examples of lines would be:
To solve such examples of we need to know about points, lines, and planes.
PointA Point can be described as an exact location in space but it has no size. A point is represented by a dot which shows the point in pictures and diagrams.
In the diagram, a line is represented by a capital letter with an arrow on the letters, such as [tex]\underset{AB}{\rightarrow}[/tex].
The examples of a point are a ball, a ball bearing, pin location on a map, etc.
LineA line is drawn when an infinite number of dots are connected together in both directions extended forever.
Examples of a line are a thread string, a wire, etc.
PlaneA plane is drawn when an Infinitely number of intersecting lines extend forever in all directions.
In the diagram, a point is represented by a dot with capital letters.
Examples of a plane are a blackboard, a movie screen, etc.
Learn more about point, lines, and plane:
https://brainly.com/question/1887287
Describe AND correct the error below.
17 + (-31) = -48
Answer:
the positive 17 is the problem. so it should be: -17 + (-31) = -48
Step-by-step explanation:
if 17 is positive, the equation is just: -14 = -48 (which isnt correct)
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a functions, or
neither (if the set is not a relation).
F=[lxy) x+y=10)
Answer:
I believe the answer is function
Step-by-step explanation:
Help me I will give brainliest to you, help me
Answer:
1) 46 cases to 1 min
2) 50 cans to 1 min
3) Cans are made faster
Step-by-step explanation:
1) 2 min per 92 cases so that's 2/2 and 92/2 which is 1 to 46
2) Now canned juice is as it shows in the graph as 50 cans per min.
3) 50 cans can be made in a min while only 46 cases can be made in a min.
The gravitational potential energy, ‘G’ of an object is directly proportional to its height, ‘h’ above
the surface of Earth. When the object is at a height of 40 meters above Earth, its gravitational
potential energy is 2200 joules. Find
I. An equation connecting G and h.
II. The gravitational potential energy of the object when it is at a height of 22 meters above the
surface of Earth.
III. The height of the object above the surface of Earth when it has a gravitational potential
energy of 3025 joules.
Answer:
see explanation
Step-by-step explanation:
Given that G is directly proportional to h then the equation relating them is
G = kh ← k is the constant of proportion
To find k use the condition h = 40 when G = 2200, then
2200 = 40k ( divide both sides by 40 )
55 = k
1
G = 55h ← equation of proportion
11
When h = 22, then
G = 55 × 22 = 1210 joules
111
When G = 3025, then
3025 = 55h ( divide both sides by 55 )
h = 55 m
Find the perimeter to this irregular shape.
Answer:23 mm
Step-by-step explanation:
add both 15 and 8 because they are as long as the one on the bottom
Answer:
70
Step-by-step explanation:
find the small unknown side by subtracting the two sides across from it. 12-7=5. add the 15 and 8 for the big unknown side. 15+8=23. add all the sides. 12+15+7+8+5+23=70
Given
m2 ABD is a straight angle.
m ABC = 8x - 41°
mZCBD = 9x + 17°
Find m2CBD:
А
B
D
Answer:
∠CBD = 125°
Step-by-step explanation:
The angle sum theorem tells you that ...
∠ABC +∠CBD = ∠ABD
8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°
17x -24° = 180° . . . simpify
17x = 204° . . . . . . add 24°
x = 12° . . . . . . . . . . divide by 17
Now the measures of the angles can be found from their expressions.
∠ABC = 8(12) -41° = 55°
∠CBD = 9(12) +17° = 125°
Sherie bought a beach towel that normally costs $44 but was on sale for half price. She also bought a beach hat that was on sale for $12 off. Before tax, her total cost was $38. What was the regular price of the beach hat?
$22
$28
$48
$56
Answer:
$28
Step-by-step explanation:
The towel was $44 but at 1/2 off would be $22.
Her total cost was $38 so we subtract $22 from $38 to find how much she paid for the beach hat.
$38-$22 = $16
We add $12 to $16 to find the original price of the hat.
$16+$12 = $28
Answer:
$28
Step-by-step explanation:
(15 points and brainliest) If x = 0 and y < 0, where is the point (x, y) located? A. on the x axis B. on the y axis
Answer:
On the y axis
Step-by-step explanation:
If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.
True or False: The absolute value of a number is always positive, no matter what number you choose.
Answer:
Yes, it's always positive
Answer:
true
Step-by-step explanation:
it's just the distance from zero so it has to be positive either you go negative or positive!
Question is in the picture pls help
Answer: y = 60x, choice D
=================================================
Explanation:
1 hour = 60 miles ... one way to represent the speed of 60 mph
x hours = 60x miles ... multiply both sides by x
After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.
The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.
Kim's class voted on a location for a field trip. • 3/8of the class voted for the science museum. • 3/16 of the class voted for the water park. The rest of the class voted for the zoo. What fraction of the class voted for the zoo?
the quotient of 8 and the cube of a number
Answer: [tex]\frac{8}{n^{3} }[/tex]
Step-by-step explanation:
the quotient of 8 and the cube of a number is 8 divided by the number cubed where n is the number.
In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3° (° means degrees) for 9 straight hours. How would you find the temperature in Alaska after 9 hrs.?
Answer:
Step-by-step explanation:
Idk
You start at (1,0) And move down 2 units and left 4 units where do you end
Answer:
(-3,-2)
Step-by-step explanation:
Starting at the point (1, 0)
Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2) which is (1, -2)
then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)
Answer:
It would be -2,4.
Step-by-step explanation:
you start at (1,0) and go down 2 to -2 then left 4 you would land on -2,4
I need help with math! I don't understand it. Can someone show me step by step.
Answer:
7) refer to d=rt triangle so answer is t= d/r
8) rearrange by dividing so it should be PV/nR = T
9) move 5r to other side which become 2p = q - 5r then divide by 2. final answer is p = q-5r/2
10) multiply both side by b/1 so b got cancel on left side
right side become c(b/1) which is same as cb
then you divide both side by c to isolate b on the right side
final answer is a/c=b
Please Please Please help !!
Answer:
g(x) = x - 7
Step-by-step explanation:
g(x) is the same as saying "y".
you need to move the y-intercept down 7 units, therefore putting the term - 7 into the expression.
Answer:
g(x) = x-7
Step-by-step explanation:
First find f(x)
f(x) is the function y =x
f(x) = x
g(x) = f(x) + C C < 0 moves it down
We want to move it down 7 units
g(x) = f(x) -7
g(x) = x-7
In the diagram, NQ is a diameter of R, mMN= (6x+33), and mNP= (5+10x). Find mMP
Answer:
MP=150
Step-by-step explanation:
MP= MN+NP
6x+33=5+10x ( NQ is the diameter)
33-5=10x-6x
28=4x
x=28/4=7
MP= MN+NP
MP=6(7)+33+5+10(7)
MP=42+38+70
MP=150
Tell whether the ratios form a proportion. 3/7 , 12/21
Answer:
The answer is No, they aren't proportionate
Step-by-step explanation:
Answer:
They are not.
Step-by-step explanation:
Solve the equation for y. 2y=8
Answer:
four
Step-by-step explanation:
2(4)=8
WILL GIVE BRAINLY What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ___cm²
Answer:
K = 13.15 cm^2
Step-by-step explanation:
Sides:
a = 8 cm
b = 3.75631 cm
c = 7 cm
Angles:
A = 90.9699 °
B = 28 °
C = 61.0301 °
Other:
P = 18.7563 cm
s = 9.37816 cm
K = 13.1452 cm^2
r = 1.40168 cm
R = 4.00057 cm
Agenda: A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
Tia equally shares 8 cookies among 4 friends. Which fraction shows how many cookies each person gets.
Answer:
8/5 because there are 5 people and 8 cookies
and the cookie monster is here too
Let f(x) = 7x - 13. Find f1(x).
Answer:
-20
Step-by-step explanation:
f(-1) = 7(-1) - 13
f(-1) = -20
Please, help me I’m so dumb
Answer:
14036Step-by-step explanation:
You know that 9 = 10 - 1.
Then 9 of something is equal to 10 of it less one of it. Here, that "something" is four.
[tex]\begin{array}{cl}9\times4&=10\text{ fours}-\boxed{1}\text{ four}\\&=\boxed{40}-4\\&=\boxed{36}\end{array}[/tex]
_____
Comment on this math
This illustrates a shortcut for multiplying by 9 that can be convenient for mental arithmetic. The idea is to multiply by 10, which just involves adding 0 (or moving the decimal point), then subtract the original number.
change 37/7 to mixed fraction
Answer:
5 2/7
Step-by-step explanation:
First, we can find how many whole 7's would fit into 37.
We find that five 7's fit into 37.
5*7=35
37-35=2
So, our mixed number is 5 2/7