Frank first get charged an overdraft fee on Wednesday
Frank has $66.50 in his account as of Sunday.
He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.
Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.
Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.
Therefore, Frank was therefore assessed an overdraft fee on Wednesday.
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Select all rational numbers.
O√75
0-√25
02. √7
100
√0.36
✓0.0144
√
0-√√
36
49
All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
What is Rational number?
A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
All the numbers are,
1. √75
2. - √25
3. 2√7
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
Now,
1. √75 = 8.660250
Clearly, It cannot be written as the form of p / q.
So, It is not a rational number.
2. - √25 = - 5
It can be written as;
- √25 = - 5 / 1
So, It is a rational number.
3. 2√7
Since, √7 is an irrational number.
So, 2√7 is not a rational number.
4. 100
It can be written as;
100 / 1
So, It is a rational number.
5. √0.36 = 0.6
= 6 / 10
= 3 / 5
Thus, It is a rational number.
6. √0.0144 = 0.12
= 12 / 100
= 3 / 25
So, It is a rational number.
7. √36 = 6
= 6 / 1
So, It is a rational number.
8. √ 49 = 7
= 7 / 1
So, It is a rational number.
Therefore, All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
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help meeeeeeee pleasee
Answer:
2(5*7) + 2(4*7) + 2(4*5)
Step-by-step explanation:
I can't really see all the values on the cuboid. I'm going to assume the dimensions are 5cm by 4cm by 7cm.
Surface area of this cuboid would be:
2(5*7) + 2(4*7) + 2(4*5)
In parallelogram ABCD, diagonals AC and BD intersect at point E, BE=x+21, and DE=4x.
What is BD?
Enter your answer in the box.
Answer:
BD = 56
Step-by-step explanation:
x + 21 = 4x
3x = 21
x = 7
x + 4x + 21
5x + 21
35 + 21
56
WILL GIVE BRAINLIEST find center, vertices, and foci of the ellipse.
Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14
!
cm.
The perimeter of triangle ABC that is congruent to triangle XYZ is: 36 cm.
What are Congruent Triangles?Triangles that are congruent to each other have corresponding side lengths that have the same lengths that are equal to each other.
What is the Perimeter of a Triangle?The sum of all the three sides of a triangle is equal to the perimeter of the triangle.
Since triangle ABC is congruent to triangle XYZ, their corresponding side lengths will also be congruent to each other. That is, they will have the same lengths.
Therefore:
Side AB = side XY = 12 cm [corresponding congruent sides]
Side AC = side XZ = 14 cm [corresponding congruent sides]
Side BC = side YZ = 10 cm [corresponding congruent sides]
Find the perimeter of triangle ABC by adding all three triangles together.
Perimeter of triangle ABC = side AB + side AC + side BC
Perimeter of triangle ABC = 12 + 14 + 10
Perimeter of triangle ABC = 36 cm
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does anybody know what 6x+24 means
ANSWER ASAPDonna received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.36 per pound after buying a coffee she had $26.85 left on your card how many pounds of coffee did she buy
The amount of coffee she bought is 5.16 pounds.
How to find the pounds of coffee she bought?She received a $70 gift card for a coffee store.
She used it in buying some coffee that cost $8.36 per pound after buying a coffee she had $26.85 left.
Therefore, base on the card, the number of pounds of coffee she bought can be calculated as follows;
Hence,
let
the amount of coffee she bought in pounds = x
Hence,
70 = 8.36x + 26.85
70 - 26.85 = 8.36x
43.15 = 8.36x
divide both sides by 8.36
43.15 / 8.36 = x
x = 5.16148325359
Therefore, the amount in pounds is 5.16 pounds.
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(Order of Operations with Radicals LC)
Simplify the expression.
square root of 49 minus 2 squared
Answer:
3Step-by-step explanation:
Given expression[tex]\sqrt{49}-2^2[/tex]Simplify it as follows[tex]\sqrt{49}-2^2 =[/tex][tex]7-4=[/tex][tex]3[/tex]Answer:
3
Step-by-step explanation:
i got it right on the exam!
Simplify (10y - 5g)(3s + 6g) using foil method
Select all the equations that have the same solution as 2x-5=15
Answer:
B, D, E
Step-by-step explanation:
2x - 5 = 15
2x = 20
x = 10
B) 2x = 20
x = 10
D) 2x - 20 = 0
2x = 20
x = 10
E)4x - 10 = 30
4x = 40
x = 10
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work? On a graph
The equation in slope intercept form is C(h) = 50h+25 ,the total cost for 8 hours of work is $425 , and for 10 hours of work is $525.
In the question;
it is given that
the fixed charge of plumber = $25
charge for per hour of service = $50
the hours of service be "h"
and the total cost be "C"
according to the question
C(h) = 50h+25
the equation in the slope intercept form is C(h) = 50h+25
to find the total cost for 8 hours of work , put h=8
C(8) = 50(8) + 25
= 400+25
= 425
to find the total cost for 10 hours of work , put h=10
C(10) = 50(10) + 25
= 500+25
= 525
Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work is $525 .
The given question is incomplete , the complete question is
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
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a company has its employees choose a password which consists of 9 characters: 3 letters, followed by 2 symbols, followed by 4 digits. there are a total of 11 symbols that the employees can choose from. letters, symbols and digits can be repeated. how many possible passwords are there?
The total possible choices of password that are available is 21,266,960,000.
The length of the password has to be of 9 characters.
Three of them should be letters, 2 should be symbols from the 11 choices of the symbols and 4 have to be digits.
Any of the following can be repeated in the password,
So, making the combination of 9 characters.
As we know, letters are 26, so, there are 26 choices each for three places.
Also, if 11 symbols are available, then there are 11 choices each are available for the two places and the total number of 10 which are 0 to 9, so, there are 9 choices each for the last four places,
Hence the final combination would be,
= 26 x 26 x 26 x 11 x 11 x 10 x 10 x 10
= 21,266,960,000
Hence the total password available are 21,266,960,000.
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If f(x) =5x2 - 3x + 1, calculate the following
Answer:
a) 199
f(-6)= 5(-6)^2 - 3 (-6) + 1 =199
b) 37
f(3)= 5(3)^2 - 3 (3) + 1 =37
Write the equation of a line in slope intercept form that passes through (-15, 20) and is parallel to x - 5y = 5
First step is to write the equation in slope-intercept form
[tex]x - 5y = 5\\-5y = -x+5[/tex] To make simplification easier, multiply negative to both sides
[tex]5y = x-5\\[/tex] Now, you must divide 5 to both sides to isolate the variable
[tex]y = \frac{x}{5} - 1[/tex] To tell the slope more easily, turn [tex]\frac{x}{5}[/tex] into [tex]\frac{1}{5} x[/tex]
To rewrite the equation: [tex]y = \frac{1}{5} x - 1[/tex]
Now, you are able to see the slope(m) being [tex]\frac{1}{5}[/tex]
Next, you use the formula y=mx+b to solve for b (replace your newly found slope and points "x" and "y"
[tex]20 = (\frac{1}{5} *-15) + b\\20 = -3 + b\\b -3 = 20\\b = 23[/tex]
Final Answer: [tex]y = \frac{1}{5} + 23[/tex]
Hope this helps :)
Suppose the function f and g are defined as follows.
In this session we will focus on calculating the composition of f and f.
given the function f, the composition f composition f is obtained by taking the definiton of f and replace the varaible x with the function f itself. So we are given that
[tex]f(x)=\frac{8}{5x}[/tex]So
[tex]f\circ f(x)=\frac{8}{5(\frac{8}{5x})}=\frac{8}{\frac{8}{x}}=\frac{8x}{8}=x[/tex]So we have that f composition f is the function x.
-3/2 = -2/3w - 4/5 solve for w and simplify your answer as much as possible
The result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20
The equation is
(-2/3)w - 4/5 = -3/2
Here we have to rearrange the terms and combine the like terms.
Mover 4/5 to the right hand side of the equation
(-2/3)w = -3/2 + 4/5
(-2/3)w = -7/10
Move the number (-2/3) to the right hand side of the equation
x = -7/10 ÷ (-2/3)
To make it multiplication, take the reciprocal of the the second number
x = -7/10 × (-3/2)
Multiply the numbers
x = 21/20
Hence, the result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20
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At the 6th grade school dance, there are 130 boys, 100 girls, and 20 adults. Write the ratio of the number of girls to the number of adults.
The ratio of the number of girls to the number of adults is 5 : 1.
What is the ratio?Ratio is used to compare two or more values together. Ratio shows the frequency of one number compared to the frequency of another number. The sign that is used to represent ratio is :.
The ratio of the number of girls to the number of adults = number of girls : number of adults
number of girls = 100
number of adults = 20
The ratio of the number of girls to the number of adults = 100 : 20
Express the ratio in its simplest form. To do this, divide both numbers by the greatest common factor of 100 and 20. The greatest common factor of 100 and 20 is 20.
The ratio of the number of girls to the number of adults = 5 : 1
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Hi please help me on the q
Answer:
x = 30°
Step-by-step explanation:
The angles of a pentagon add up to 540°
Make an equation adding up the angles to equal 540°
x + 4x + 4x + 135° + 135° = 540°
Simplify
9x = 270°
Divide
x = 30°
Which linear inequality is represented by the graph?1. y>2/3x-22. y<2/3x+23. y
To identify the inequality of the given graph:
1. Identify the equation of the borderline in slope-intercept form (y=mx+b)
- Find the slope (m): Use two points in the line in the next formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ Points\colon(-3,-3)and(3,1) \\ \\ m=\frac{1-(-3)}{3-(-3)}=\frac{1+3}{3+3}=\frac{4}{6}=\frac{2}{3} \end{gathered}[/tex]- Identify the y-intercept (b): the value of y where the line cross the y-axis (when x is 0)
b= -1
Equation of the border line:
[tex]y=\frac{2}{3}x-1[/tex]2, Identifify the inequality sing:
-When the inequality is < or > the borderline is a dotted line
-When the inequality is ≥ or ≤ the border line is a full line
-When the inequality is < or ≤ the shaded area is under the borderline
-When the inequality is > or ≥ the shaded are is over the borderline
In this case you have a dotted borderline and a shaded area under the borderline, then, the inequality is:
[tex]y<\frac{2}{3}x-1[/tex]5. Let the graph of g be a translation 2 units up and 2 units right, followed by a reflection in the x-axis of the graph off(x) = -(x+3)^2 - 2. Write a rule for g.
Answer:
[tex]g(x)=-f(x-2)+2[/tex]Explanation:
Given the function f(x)
A translation of 2 units up = f(x)+2
Next, a translation of 2 units right = f(x-2)+2
When we reflect the result above in the x-axis, we have:
[tex]g(x)=-f(x-2)+2[/tex]A rule for g is therefore:
[tex]g(x)=-f(x-2)+2[/tex]Jordan and his children went into a restaurant and he bought $26 worth of drinks
and tacos. Each drink costs $2.50 and each taco costs $2. He bought 4 more tacos
than drinks. Write a system of equations that could be used to determine the number
of drinks and the number of tacos that Jordan bought.
The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that number of drinks that Jordan and his children bought is x while the number of tacos is y.
The cost of drinks = 2.50x
Cost of tacos = 2y
Total cost 2.5x + 2y
2.5x + 2y = 26
Given that,
He bought 4 more tacos than drinks.
Therefore,
y = x + 4.
Hence "The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4".
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How many positive factors of 96 are also multiples of 12?
The number of positive factors of 96 which are also multiples of 12 are 4 which are 12,24,48, and 96.
Positive factors of 96 = 1,2,3,4,6,8,12,16,24,32,48 and, 96
Multiples of 12 upto 96 = 12,24,36,48,60,72, 84 and 96
Common numbers between the two are 12,24,48 and 96.
Hence, there are only 4 positive factors of 96 which are also the multiples of 12
Factors
Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left.
Multiples
A multiple is a result obtained by multiplying a number by an integer(it shouldn’t be a fraction). The multiples of the whole number are obtained by taking out the product of the counting numbers and that of whole numbers.
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Checks: 32.96,121.03 and 24.70;cash:22 one dollar bills, 5 ten dollar bills, and 15.21 in coins; less $20 cash recieved
The balance of the checks and cash (receipts and payments) is -$245.90.
How is the balance determined?The balance is the difference between receipts of cash and payments of checks and cash.
Using addition and subtraction operations, the balance is determined as follows:
Check Payments:32.96
121.03
24.70
Total checks = $178.69
Cash Payments:22 one dollar bills = $22.00 (22 x $1)
5 ten dollar bills $50.00 (5 x $10)
15.21 in coins $15.21
Total cash payments = $87.21
Cash Receipts:$20 cash received
Total cash = $67.21
Balance = -$245.90 [$20 - ($87.21 + $178.69)]
Thus, the balance of the checks and cash totals -$245.90, showing that payments outstripped receipts.
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Question Completion:How much is the balance between receipts and payments?
$ Given T is the midpoint of SU. Prove x = 5 3x + 20 STATEMENTS REASONS 1. 1. Given 2. ST = TU 2. Definition of midpoint W 3. Definition of congruent segments 3. ST = TU 4. 7* = 3x + 20 4. 5. 5. Subtraction Property of Equality 6. r = 5 6. 1. What should be the statement for Reason 1? SU = SU
In the images, we are given an exercise which is solved by taking T as the midpoint of SU. This is the
3,4,16/3 find the 10 term
The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.
The [tex]n^{th}[/tex] term of the Geometric Sequence is
given by the formula
aₙ = a*rⁿ⁻¹
where , a is the first term , r is the common ratio .
in the question ,
the sequence is given as {3,4,16/3....}
here we need to find the common ratio(r) ,
we know , r = a₂/a₁
So , r= 4/3 .
Since we need to find the 10th term , so n=10 .
Substituting the values in the nth term formula , we get
a₁₀ = (3)*(4/3)¹⁰⁻¹
= 3* (4/3)⁹
= 4⁹/3⁸
= 262144/6561
The 10th term is 262144/6561.
Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.
The given question is incomplete , the complete question is
Find the 10th term of the Sequence {3,4,16/3....} ?
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7) 5x - 125 5x-:5 OTROW VOITA U Name Samantha Date 3/3 Kuta Software - Infinite Algebra 2 Graphing Linear Inequalities Sketch the graph of each linear inequality. 1) yz-2x-2 9) y 25 *2=5 2) ys-*+1 Yst
It is not possible to write a linear inequality such that the solution contains only positive values of x and y.
This happens because every line on the coordinate plane must have a y-intercept and/or an x-intercept. When the line crosses an axis, either the variable x or y changes its sign.
A dinner set was marked $ 532 and a discount of 12% was offered on its marked price. Find the sale price of the dinner set.
Answer:
$468.16
Step-by-step explanation:
answer key
pleas help quick
What is the value of the expression
PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.
[tex] = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} [/tex]
THE ANSWER IS OPTION C.
Jamie has 8/10 of a
candy bar leftover. He
wants to split it into 4
pieces. How big will
each piece be?
Answer: 1/5
Step-by-step explanation: It might be first easier to put it in decimal form so 8/10 is 0.8 and 0.8 divided by 4 is 0.2. 0.2 as a fraction is 1/5.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
convert element to fraction: 4 = [tex]\frac{4}{1}[/tex]
= [tex]\frac{8}{12}[/tex] ÷[tex]\frac{4}{1}[/tex]
The fraction rule: a/b ÷ c/d = a/b x d/c
= [tex]\frac{8}{12}[/tex] × [tex]\frac{1}{4}[/tex]
Cross - cancel common factor: 4
= [tex]\frac{2}{12}[/tex]
Cancel the common factor: 2
= [tex]\frac{1}{6}[/tex]
Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces. how many pieces of fish would there be if jorge divided each fish into tenths.
Answer:
1,730
Step-by-step explanation:
173x10 (pieces)= 1730
