Previously available balance = $320.39
Deposit made by Mrs. Hammonds = $100
Cheques used for withdrawal,
$97.54
$48.27
The new balance = $320.39 + $100 - $97.54 - $48.27
= 420.39 - 145.81
= 274.58
So, the new balance in her account is $274.58.
What is Withdrawal?According to accounting terminology, a company withdrawal is the removal of funds, but not to compensate the owner as in an owner's draw. A withdrawal can be made for many different purposes, such as paying an employee back for a company expense or covering a cash-intensive business expense like entertaining a significant client at a sporting event. A withdrawal can also refer to the departure of money from an employer-sponsored retirement plan, like a 401k. Additionally, some businesses have a petty cash fund set up for various modest charges; certain incidental expenses may also be paid out of this account. An owner's draw or accounting drawing is not taxed in the traditional sense.To learn more about Withdrawal, refer to:
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100 POINTS! HELP ASAP!! WILL GIVE BRAINIEST!
Answer:
[tex]\frac{9x^{2}}{y^{2}}[/tex]
Step-by-step explanation:
First you need to do what is inside the parenthesis
Dividing by a variable with the same base means the powers subtract so if we do this for x we get.
[tex]\frac{x^{\frac{1}{2}}}{x^{-\frac{1}{2}}}=x^{\frac{1}{2}-(-\frac{1}{2})}=x^{1}=x[/tex]
That brings us to
[tex](\frac{3xy^{-\frac{1}{2}}}{y^{-\frac{1}{2}}})^2[/tex]
Then we need to do a similar process for the y variable.
[tex]\frac{y^{-\frac{1}{2}}}{y^{\frac{1}{2}}}=y^{-\frac{1}{2}-(\frac{1}{2})}=y^{-1}=\frac{1}{y}[/tex]
Which brings us to
[tex](\frac{3x}{y})^2[/tex]
From here we just need to square the top and the bottom of the fraction which brings us back to our final answer with
[tex]\frac{9x^2}{y^2}[/tex]
Answer:
[tex]\dfrac{9x^2}{y^2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(\dfrac{3x^{\frac{1}{2}}y^{-\frac{1}{2}}}{x^{-\frac{1}{2}}y^{\frac{1}{2}}} \right)^2[/tex]
Separate the variables inside the parentheses:
[tex]\implies \left( 3 \cdot \dfrac{x^{\frac{1}{2}}}{x^{-\frac{1}{2}}} \cdot \dfrac{y^{-\frac{1}{2}}}{y^{\frac{1}{2}}}\right)^2[/tex]
[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies \left( 3 \cdot x^{(\frac{1}{2}-(-\frac{1}{2}))} \cdot y^{(-\frac{1}{2}-\frac{1}{2})}\right)^2[/tex]
[tex]\implies \left( 3 \cdot x^{1} \cdot y^{-1}\right)^2[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 3^2 \cdot x^{(1 \cdot 2)} \cdot y^{(-1 \cdot 2)}[/tex]
[tex]\implies 9x^2y^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{9x^2}{y^2}[/tex]
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Evaluate the expression when g = 30 and h = 14.
h+9/5
The value of the given expression g = h+9/5 is 127.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics can be as straightforward as 2 + 4 or as intricate as -4xy + 8x- 5(x/y). There are terms in every mathematical expression, and each term has a coefficient or numerical factor. The terms are a product of the coefficient and one or more variables factors, and they are separated by plus or minus signs.So, g = h+9/5:
Where g = 30 and h = 14.Insert the values in the expression as follows:
g = h+9/530 = 14 + 9/530 × 5 = 14 + 9150 = 23150 - 23127Therefore, the value of the given expression g = h+9/5 is 127.
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The correct question is given below:
Evaluate the expression when g = 30 and h = 14.
g = h+9/5
Find an equation in point-slope form for the line having the slope m = 2 and containing the point (7,5).
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies {\Large \begin{array}{llll} y-\stackrel{y_1}{5}=\stackrel{m}{ 2}(x-\stackrel{x_1}{7}) \end{array}}[/tex]
If Billy's truck can drive 12.6 miles per
gallon of gas. If he has 11.3 gallons of gas in his
truck, how many miles will he be able to drive before
running out of gas?
2.4 ft x 1.8 ft x 1.2 ft=
Answer: 5.184 ft
Step-by-step explanation:
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
1. Noah reads 9 pages.
2. The price of one pizza is $9.
3. Lin shares her stickers is 9.
1.Given,
Elena read three times as many pages as Noah.
and, She read 27 pages.
Now, According to the question:
3x = 27
x = 27/3
x = 9
Hence, Noah reads 9 pages.
2. Given,
Diego paid $27 to have 3 pizzas delivered
and, $35 to have 4 pizzas delivered
In the question, In place of $ 35 should be $36
So, we take the $36
Now, Diego paid $27 to have 3 pizzas delivered
$36 to have 4 pizzas delivered
Let x be the price of 1 pizza
then, 4x = 36
x = 36/4
x = $9
Hence, The price of one pizza is $9.
3. Given,
Lin has 27 stickers.
and, She gives 3 stickers to each of her friends.
Now, 27 is divided by 3 = 9
Hence, Lin shares her stickers is 9.
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Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
m arcRP
In the illustration above, a circle with a few lines intersecting at various locations is shown. So, if we split the circle in half, the resulting semicircle has a vertical angle of 180 degrees. Since ∠ROP = 125°, ∠POS = 55° is obtained by taking 180° away from 125°. ∠POS and ∠QOR are equivalent terms. Also, ∠ROP = ∠QOS.
What is lines intersecting?
In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.
the characteristics of intersecting lines
The intersecting lines (two or more) never cross over at more than one location.
Any angle may be used to intersect the lines in any direction. Always larger than 0° and less than 180°, this angle is generated.
A pair of vertical angles are created by two intersecting lines. The vertical angles have the same vertex and are opposing angles (which is the point of intersection).
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Line l contains the points (-1,-5) and (6,4). Line is perpendicular to line l and contains the point (9,3). what is the equation of line ?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line L above
[tex]\stackrel{\textit{slope for line L}}{(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-1)}}} \implies \cfrac{4 +5}{6 +1}\implies \cfrac{9}{7} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{9}{7}} ~\hfill \stackrel{reciprocal}{\cfrac{7}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{7}{9}}}[/tex]
so we're really looking for the equation of a line whose slope is -7/9 and that it passes through (9 , 3)
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{7}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- \cfrac{7}{9}}(x-\stackrel{x_1}{9}) \\\\\\ y-3=- \cfrac{7}{9}x+7\implies {\Large \begin{array}{llll} y=- \cfrac{7}{9}x+10 \end{array}}[/tex]
3(x+2)+7 equivalent expression
multiply ecerything that is in the brackets by 3
[tex]3(x) + 3(2) + 7 \\ = 3x + 6 + 7 \\ = 3x + 13[/tex]
ATTACHED IS THE SOLUTION
Find the coordinates of the midpoint of EF if E(2, -8) and F(-12, -6).
The coordinates of the midpoint between point E(2, -8) and point F(-12, -6) on segment EF is ( -5, -7 ).
How determine the midpoint between two point?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point E(2, -8)
x₁ = 2y₁ = -8F(-12, -6)
x₂ = -12y₂ = -6Coordinates of midpoint = ?
To determine the midpoint, plug the given points into the midpoint formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ( 2 + (-12) )/2, ( (-8) + (-6) )/2 )
M = ( 2 - 12 )/2, ( -8 - 6 )/2 )
M = ( -10 )/2, ( -14 )/2 )
M = ( -5 ), ( -7 )
M = ( -5, -7 )
Therefore, the midpoint of line segment EF is ( -5, -7 ).
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Brihanna travels 60 kilometers in two hours. How many meters of distance will she cover in one minute?
Answer:
1
Step-by-step explanation:
60 Kilometers = 120 minutes
60 ÷ 120 = .5
.5 × 2 = 1
1 kilometer = 2 Minutes
Which of the following functions has a graph with the largest positive x-intercept?
A. f(x) = 2(x+5)-1
B. f(x) = 8(x+8)
c. f(x) = 2(x-8) +1
D. f(x)=13(x-3)
functions has a graph with the largest positive x-intercept is c. f(x) = 2(x-8) +1
What is function ?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
A)
0= 2x + 10 - 1
-9 = 2x
-4.5 = x
B)
0= 8x + 64
-64 = 8x
-8 = x
C)
0 = 2x - 16 +1
0 = 2x -15
7.5 = x
D)
0 = 13x - 39
39 = 13x
3 = x
functions has a graph with the largest positive x-intercept is c. f(x) = 2(x-8) +1
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need help asap!!!
Find the mean of 24, 14, 36, 15, 19. Round to the nearest tenth if necessary.
Answer:
The answer would be 92.8 but since we're rounding it'll be 90
Step-by-step explanation:
Tess is 3 inches shorter than Johnny. Johnny is i inches tall. Write an expression that shows how many inches tall Tess is.
The expression that shows how many inches tall Tess is t = i - 3.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, Tess is 3 inches shorter than Johnny. and Johnny is i inches tall. Since Tess is shorter, we will subtract.
Therefore, the expression will be:
t = i - 3
where t = Tess height.
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What is the slope of y= 1/4 x -2
Answer:
The slope is 1/4
Step-by-step explanation:
hope it helps
please help me smart people
Answer:
? = 4.492385
About 4.5 pounds
Step-by-step explanation:
m = money spent
80 - 44.6 = m
m = 35.4
m / 7.88 = ?
? = 35.4 / 7.88
? = 4.492385
About 4.5 pounds
Answer:
She bought 5 pounds of coffee
Step-by-step explanation:
If you subtract 80-40.60 you would get 39.4/39.40 and since each pound was 7.88 you divided 39.40 and 7.88 and you would get 5
In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage making it difficult to score. Larry plays quarterback for the Eagles. During the team's opening football game, the Eagles have the ball 48 yards away from the goal line. On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively. What is the distance between the ball and the goal line after these five plays?
A.
-36 yards
B.
-2 yards
C.
2 yards
D.
36 yards
The distance that is between the ball and the goal line after these five plays is D. 36 yards.
How to calculate the distance?From the information, the Eagles gain 31 yards on a pass toward the goal line and on the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively.
After the first day, the yards remaining will be:
= 48 - 31
= 17
Now, the total distance between the goal line and the ball will be:
= 17 + 3 + 5 + 7 + 4
= 36
Therefore, the total distance is 36 yards.
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A highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour. Write an inequality that represents the legal driving speeds, s, in kilometers per hour.
The inequality that represents the legal driving speeds, s, in kilometers per hour is 45 >= s <= 70.
What is an inequality?It should be noted that an inequality is simply used in mathematics to show that the expression or equation aren't equal.
From the information, the highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour.
Therefore, the inequality that represents the legal driving speeds is 45 >= s <= 70.
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how can you eliminate the fractions from the equation n/5+3/7=2 using just one operation?
Answer:
Multiplying both sides of the equation by 35 eliminates the fractions
Step-by-step explanation:
You want to know how to eliminate the fractions from the equation n/5+3/7=2.
Multiplication property of equalityThe multiplication property of equality allows you to multiply both sides of an equation by the same number without changing the value of the variable. To eliminate fractions, the number we choose can be the least common denominator of the fractions.
ApplicationFractions with denominators 5 and 7 will have a least common denominator of 5·7 = 35. Multiplying the equation by 35 gives ...
35(n/5 +3/7) = 35(2)
7n +15 = 70
Multiplying both sides of the equation by 35 eliminates the fractions.
__
Additional comment
The solution to this 2-step equation is ...
n = (70 -15)/7 = 55/7 = 7 6/7
Cual es la medida en grados de 10 pi?
Step-by-step explanation:
2pi = 360°
=>
10pi = 5×2pi = 5×360 = 1800°
WHAT'S THIS?!?!
MORE FR3E POINTS!!
WOWWWW!!!
Answer: wowwww LOL
Step-by-step explanation:
Thanks Mr Shady, the f r e e p o. i n t s are now mine.
Please help nobody answered for 23 hours. What is the answer to this problem: Subtract "3a – 7b + 12c from -5a – 21b + 3c", and how did you find it.
On subtracting "3a – 7b + 12c" from "-5a – 21b + 3c" we get -
- 8a - 14b - 9c
What is subtraction?
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign −.
Given is to subtract "3a – 7b + 12c" from "-5a – 21b + 3c".
Assume that -
A = 3a – 7b + 12c
B = -5a – 21b + 3c
B - A = (-5a – 21b + 3c) - (3a – 7b + 12c)
B - A = -5a - 21b + 3c - 3a + 7b - 12c
B - A = -5a - 3a - 21b + 7b + 3c - 12c
B - A = - 8a - 14b - 9c
Therefore, on subtracting "3a – 7b + 12c" from "-5a – 21b + 3c" we get -
- 8a - 14b - 9c
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Help me pls ?
Explain part A and B pls?
Answer:
MK= 12.5
AngleJNK=117°
AngleJNM=63°
Step-by-step explanation:
Part A:
MN = 3x + 1
JL = 2x + 9
JL and MK are the diagonals
MN = 1/2 of MK
MK =2(3x +1)
MK = 6x + 2
Therefore, JL = MK
2x + 9 = 6x +2
Collect like terms
2x-6x = 2 - 9
-4x = - 7
x = 1.75
Substituting the value of x,
MK = 6(1.75) + 2
MK = 10.5 + 2
MK = 12.5
Part B
AngleJNK = (5x +2)°
AngleJNM = (3x-6)°
Sum of interior angles of a quadrilateral = 360
Therefore, 2(5x +2)° + 2(3x-6)° = 360
(10x + 4) + (6x - 12) = 360
Collect like terms
10x + 6x - 12 + 4=360
16x = 360 + 8
16x = 368
x = 368/16
x = 23
Substituting the value of x
For angleJNK = 5(23) +2 = 115+2 = 117°
For angleJNM = 3(23) - 6 = 69 - 6 = 63°
Please answer quickly!
[tex]f(x) = 3 {x}^{2} - x + 5[/tex]
thus ;
[tex]f( - 3) = 3 \times ({ - 3})^{2} - ( - 3) + 5[/tex]
[tex]f( - 3) = 3 \times 9 + 3 + 5[/tex]
[tex]f( - 3) = 27 + 8[/tex]
[tex]f( - 3) = 35[/tex]
_____________________________________________
[tex]f(4) = 3 \times ({4})^{2} - (4) + 5[/tex]
[tex]f(4) = 3 \times 16 - 4 + 5[/tex]
[tex]f(4) = 48 + 1[/tex]
[tex]f(4) = 49[/tex]
_____________________________________________
So :
[tex]2f( - 3) = 2 \times 35 = 70[/tex]
And ,
[tex] - f(4) = - 49[/tex]
so :
[tex]2f( - 3) - f(4) = [/tex]
[tex]70 - 49 = [/tex]
[tex]21[/tex]
5. If line a is parallel to line b,
0
L
(x+127
What angle pair relation is identi
Write an equation to solve for x.
X =
Answer:
x = 21
Step-by-step explanation:
Given line a is parallel to line b we can form the following equation to find the value of x:
6x + 12 + 2x = 180 (because these are supplementary angles and their sum is equal to 180)
add like terms
8x + 12 = 180 subtract 12 from both sides
8x = 168 divide both sides by 8
x = 21
If f(-7) = -2 write a corresponding ordered pair solution What is the corresponding pair?
Solution:
If
[tex]f(-7)=-2[/tex]The general form of the coordinates of an ordered pair is
[tex]\begin{gathered} f(x)=y \\ (x,y) \end{gathered}[/tex]From the given expression;
The x-coordinate is -7
The y-coordiates is -2
Hence, the corresponding ordered pair is
[tex](-7,-2)[/tex]Easy division standard algorithim-USE PAPER!
100 POINTS USE PAPER AND NO LIES
Answer:
PLsss mark as brainliest
32 = 5u +3u solve for u
Answer:
u = 4
Step-by-step explanation:
32 = 5u + 3u = 8u ( divide both sides by 8 )
4 = u
Step-by-step explanation:
u=4 after you add or combine like terms , you then divide both sides by the same factor
6 Acc U2 Percents Assessment22:23 [0]
5678910
$14.49
$2768
11
CO$4.79
D$19.48
+P N
Reyes Rodriguez, Jean
Save
Review Summary
P
11
4.
Tate and Nathan go out to dinner at Red Robin They both order burgers for $12.49 each. Tate has a birthday coupon for $10.00 off, but the boys want to leave an 18% tip before subtracting the cour
After using the coupon, how much money will they leave the server to cover the bill and the tip? Round to the nearest cent
Exit. how do I solve this ???
Tate and Nathan will leave $ 19.48 to the server to cover up the bill and the tip when they go out to dinner at Red Robin.
As given in the question,
Since Tate and Nathan both order burgers for $12.49 each,
Total amount payable is
$12.49 + $12.49= $24.98.
Now 18% tip is equal to
18% of $24.98
(18/100) × 24.98
= $4.4964
= $4.50 (rounded to nearest cent).
Total gross amount payable (including 18% tip) is
24.98 + 4.50 = $29.48.
Now subtracting the birthday coupon for $10.00 off,
the net amount payable in the bill is
29.48 - 10.00
= $ 19.48
= 19.48 cents
Therefore, after using the coupon, they will leave the server $19.48 to cover the bill and the tip.
The complete question is:
Tate and Nathan go out to dinner at Red Robin They both order burgers for $12.49 each. Tate has a birthday coupon for $10.00 off, but the boys want to leave an 18% tip before subtracting the cour
After using the coupon, how much money will they leave the server to cover the bill and the tip? Round to the nearest cent.
a. $14.49
b. $2768
c. $4.79
d.$19.48
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the circumference of a circle is 60cm what is the area
step by step explanation please
Answer: The area of a circle is 286.37cm².
Step-by-step explanation: The answer to this question can be solved by finding the value of the radius from the circumference and substituting it into the area.
Following are the steps to solve this problem:-
Step 1. The circumference of the circle is 60cm.
The formula for the circumference of a circle is 2[tex]\pi \\[/tex]r.
Step 2. Calculating the value of radius (r) is 2[tex]\pi[/tex]r=60 cm.
2x 3.14xr =60cm.
r= 9.55cm
Step 3. Calculate the area of a circle by using the formula [tex]\pi[/tex]r²
Substituting the valur r( from step 2 ) in the formula
3.14x9.55x9.55= 286.37cm²
Thus, the answer is 286.37cm²
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