-90
90
Since it is withdrawing, we are taking away -$18 every day for 5 days.
(-18)*5 = -90
Since it is a deposit, we are adding to the amount in her account, +$18 for 5 days.
18*5 = 108
The difference is that one is taking away and one is adding each day, resulting in negative or positive change.
An agreement with a bank to retain money and maintain transaction records. a plan for working with a firm on a regular basis. a set-up where a person uses a specific company's email or Internet services. The word "account" typically alludes to a ledger or record-keeping activity. In the financial sector, it can be used in a wide variety of ways. An account in banking is a contract whereby a company, generally a bank or credit union, takes a customer's financial assets and retains them on the customer's behalf at the customer's choice.
Savings accounts are one type of account that consumers can open to help them amass liquid assets.
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the product of negative six and a number is thirty
Answer:
-6n = 30
Step-by-step explanation:
Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Equation: 5x+6=21
Solve: 5x+6=21
-6= -6
5x=15
5x/5 = 15/5
x =3
Answer: x = 3
Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:
x = 15/5 = 3 miles a day.
He would have to ride his bike 3 miles a day to meet his goal.
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reflection across y = x
(2,-2)
(3,-5)
(-2,-4)
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:
The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units
What is the area and Perimeter of the Triangle?
The formula for the area of a triangle ABC with 3 coordinates is;
Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
The coordinates are;
(x₁, y₁) = (-6, 6)
(x₂, y₂) = (2, 3)
(x₃, y₃) = (-3, -2)
Thus;
Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|
Area (ΔABC) = (¹/₂)|-30 - 16 + 9|
Area (ΔABC) = ¹/₂ * |-35|
We are taking absolute value and so;
Area (ΔABC) = ¹/₂ * 35
Area (ΔABC) = 17.5 square units
To get the perimeter, we will use distance formula between two coordinates and we have;
AB = 8.544
BC = 7.071
AC = 8.544
Thus;
Perimeter = 2(8.544) + 7.071
Perimeter = 24.16 units
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a concert manager counted 650 ticket receipts the day after a concert. the price for a student ticket was $11.50, and the price for an adult ticket was $13.00. the register confirms that $8,112.50 was taken in. how many student tickets and adult tickets were sold?
Based on the calculations, the number of student tickets and adult tickets that were sold are 225 tickets and 425 tickets respectively.
Given the following data:
Total ticket receipts = 650 tickets.
The price for a student ticket = $11.50.
The price for an adult ticket = $13.00.
Total revenue = $8,112.50.
Let T represent the total ticket.Let S represent price for a student ticket.Let A represent price for an adult ticket.Let R represent the total revenue.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How many student tickets and adult tickets were sold?In order to determine the number of student tickets and adult tickets that were sold, we would translate the word problem into an algebraic expression as follows:
A + S = 650 ......equation 1.
11.5S + 13A = 8,112.50 ......equation 2.
From eqn. 1, we have:
S = 650 - A ......equation 3.
Substituting eqn. 3 into eqn. 2, we have:
11.5(650 - A) + 13A = 8,112.50
7,475 - 11.5 A + 13A = 8,112.50
1.5A = 8,112.50 - 7,475
1.5A = 637.5
A = 637.5/1.5
A = 425 tickets.
For the student tickets, we have:
S = 650 - A
S = 650 - 425
S = 225 tickets.
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Complex numbers
I need help!
Answer:
1. i
2. -1
Step-by-step explanation:
Find the quotient of The quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. Write the final answer in scientific notation.
6 x 1048
6 x 1024
6 x 100
6 x 10−48
The quotient of the given problem using laws of exponents is; 6 * 10⁰
How to use the law of exponents?
We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.
This is;
(30 * 10⁻²⁴)/(5 * 10⁻²⁴)
Now, we can break this down into like terms to get;
(30/5) * (10⁻²⁴/10⁻²⁴)
= 6 * 1
Now, 1 can also be written as;
10⁰ = 1
Thus, the solution of the given problem is; 6 * 10⁰
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Which axis is triangle ABC reflected across?
Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.
6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
What is the translation ruleThe translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.
To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.
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Can someone help??????
Answer:
rotate 180
Step-by-step explanation:
because you can try it urself
Please help with all answers on this. And please explain how you got those answers!!!
8) The part shared by vector BC and vector CB is called the magnitude of the line segment.
9) (a) Another name for ∠C is ∠ACB.
(b) ∠ADF and ∠BDC are two angles with point D as the vertex.
(c) Another name for ∠1 is ∠FBD.
(d) Another name for ∠2 is ∠FDB.
8) There are two vectors : vector BC and vector CB.Both the vectors have the same magnitude, i.e., length, but opposite directions to each other.Hence, the vector BC and vector CB have a common magnitude, which is equal to the length of the line segment joining the points B and C.9) According to the given figure,a) The angle ∠C is formed using line segments CA and CB. So, another name for ∠C is ∠ACB.b) ∠ADF and ∠BDC are two angles with point D as the vertex.c) The angle ∠1 is formed using line segments BF and BD. So, another name for ∠1 is ∠FBD.d) The angle ∠2 is formed using line segments DF and DB. So, another name for ∠2 is ∠FDB.To learn more about angles, visit :
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a rectangle has a width w and a length that is two more than its width. what is the perimeter of the rectangle? write and simplify an expression. a general expression for the perimeter is (select) . the simplified expression i
The perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
In this question,
a rectangle has a width w
Let l be the length of the rectangle.
A length that is two more than its width.
⇒ l = 2 + w
We know that the perimeter of the rectangle is P = 2 × (length + width)
So, for the length l = 2 + w and width w, the perimeter of the rectangle would be,
P = 2 × (w + (2 + w))
We simplify above expression.
P = 2 × (2 + 2w)
P = 4 + 4w
Therefore, the perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
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The data set represents the number of students per faculty member for 20 public colleges 13 15 15 8 16 20 28 19 18 15 21 23 30 17 10 16 15 16 20 15. Use five classes.
The median and mode of the data set is
median =16mode =15This is further explained below.
What are the median and mode?Generally, median = value of [tex]$\left(\frac{n+1}{2}\right)^{\text {th }}$[/tex] the position
- the value of [tex]$\left(\frac{20+1}{2}\right)^{\text {th }}$[/tex] the position
= value of the position
= value of [tex]$10^{\text {th }}$[/tex] position +0.5 (value of 10^th position - value of 9th position)
Arranging the data below.
8,10,13,15,15,15,15,15,16,16,16$, $17,18,19,20,20,21,29,28,30
median =16+0.5(16-16)
median =16
mode = { value of maximum frequency }
mode =15
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The data set represents the number of students per faculty member for 20 public colleges 13 15 15 8 16 20 28 19 18 15 21 23 30 17 10 16 15 16 2[tex]$(10.5)^{\text {th }}$[/tex]0 15. Use five classes.
What is the median and mode of the data
2 1/5 divided by 5/7
Answer: 3.08
Step-by-step explanation: hope this helps!!!!
Answer:
3.08 or 77/25
Step-by-step explanation:
I find answering this problem easiest if you use paper and Thats what I used
2 1/5/ 5/7 = 77/25= 3 2/25= 3.08
Spelled result in words is seventy-seven twenty-fifths (or three and two twenty-fifths).
The archery club competed in a tournament. Each archer shot 6 arrows in 5 minutes.
The numbers of arrows in the inner ring of the target, or bull’s-eye, are recorded in
the table. Which archer had an average rate that can be represented as a terminating
decimal?
Answer:
Step-by-step explanation:
Answer
the number of arrow in inner ring is i don't know
Stepby-step explanation:
8 divided by $3.09 round to the nearest cent
Answer: $0.39
Step-by-step explanation:
3.09/8=
0.38625=
0.38625=$0.39
Solve inequality.
-b/5 ≥ -6
To solve the inequality, multiply both sides by (-5). The solution is b ≤ 30 or (∞, 30]
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
-b/5 ≥ -6
Notice that the variable, b, is already isolated on the left side. Multiply both sides by (-5) and flip the sign of the inequality ( since we multiply it by a negative number):
-b/5 . (-5) ≤ -6 . (-5)
b ≤ 30
Using the interval notation, the solution is (∞, 30]
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Find the axis of symmetry of y=x^2
Answer:
Step-by-step explanation:
x^2 cannot be negative so the minimum value of x^2 is at (0.0)
When x = -1 y = 1 and when x = 1 y = 1
- and so on for all values of x
SO, y = x^2 is symmetrical about the y axis.
and the axis of symmetry is the y axis or we can write it as the line x = 0.
About how many times greater is the number
8.4493E13 than the number 7.994E-2 when
displayed on a calculator?
The number of times the number 8.4493E13 isgreater than the number 7.994E-2 when displayed on a calculator is 1.05696E15.
How do we use division to get the number times a number is greater than the other?8.4493E13 = 84,493,000,000,000
7.994E-2 = 0.07994
The number of times the number 8.4493E13 isgreater than the number 7.994E-2 can be obtained by dividing 8.4493E13 by 7.994E-2 as follows:
Number of times greater = 8.4493E13 / 7.994E-2 = 84,493,000,000,000 / 0.07994
Number of times greater = 1,056,955,216,412,310
When displayed on a calculator, we will have:
Number of times greater = 1.05696E15
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Solve the equation. − 3 ( 3 − 4 x ) = 5 ( x − 1 ) + 7 ( x + 2 ) Show each step you used to solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions. Explain your reasoning.
Answer:
0=18
Step-by-step explanation:
-3(3 - 4x) = 5(x - 1) + 7(x + 2)
-3( -4x + 3) = 5(x - 1) + 7(x + 2)
Find the equation of the line shown below
Answer:
Below in bold.
Step-by-step explanation:
The slope = rise / run
= 5/10
= 1/2.
General form of the straight line is
y = mx + c where m = the slope and C is the y-intercept
Here m = 1/2. and c = 0
So, the answer is y = 1/2 x.
If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
CODO
So
The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of length 46 units.
Given a line segment RT of length 46 units and line segment ST of length 46 units and asked to find the length of line segment RS.
Given the number line RT;
RT=RS+ST
⇒46=RS+13
⇒RS=33
The length of line segment RS is 33 units.
Therefore,The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of length 46 units.
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4(8)÷2(3)-10
explain please
Answer: 38
Step-by-step explanation:
4*8 =32
32/2=16
16*3=48
48-10=38
what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths
Answer:437.019
Step-by-step explanation:
If you add together
4 hundreds-400
3 tens-30
7 ones-7
19 thousandths-0.019
It equals 437.019
Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability
Answer:
Box plot B
Step-by-step explanation:
Hope this helps
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack. There are cards in the first pack, and there are cards in the second pack. The first pack has more cards than the second pack.
A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data refers to a type of data set consisting of numbers (numerals) rather than words.
Based on the information provided, the number of cards (c) in each pack can be modeled by the following mathematical expression (equation):
Note: 100 cent is equal to 1 dollar.
First pack: 0.25c = 3
Second pack: 0.3c = 3
Now, we can determine the number of cards (c) in the first pack as follows:
0.25c = 3
c = 3/0.25
Number of cards, c = 12 cards.
For the second pack, we have:
0.3c = 3
c = 3/0.3
Number of cards, c = 10 cards.
Therefore, there are 12 cards in the first pack, and there are 10 cards in the second pack.
Difference = First pack - Second pack
Difference = 12 - 10
Difference = 2 cards.
In conclusion, the first pack has 2 more cards than the second pack.
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Find the distance between the two points (9,1), (-8,7)
Step-by-step explanation:
use distance formula for answer
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
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Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 1/2(bxh)
Answer: 60m
Step-by-step explanation: The formula is 1/2(bxh)
the base is 10m and the height is 12m.
1/2(10 x 12) =
1/2(120) = 60
You are solving a measurement problem where the numbers 4.514 x 10^−3, 3.09 x 10^7, and 2.80 x 10^3 are multiplied. How many significant digits should the product have?
The significant digits from the product of the values are 7
What are significant digits?It is important to note the following;
Non-zero digits are always significantZeros between two significant digits are also significantGiven the values;
4.514 x 10^−33.09 x 10^72.80 x 10^3Let's find the product
4.514 x 10^−3 × 3.09 x 10^7 × 2.80 x 10^3
39. 055128 × 10^-3 + 7 + 3
39. 055128 × 10^7
The significant digits are 7
Thus, the significant digits from the product of the values are 7
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what is the slope intercept form of y=-3x+1
Answer:that is the slope intercept form
Step-by-step explanation: slope intercept form is y=mx+b