The cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
The cost of burger is expressed in terms of cost of souvenir and of souvenir in terms of the cost for pass.
So, let we take:
Cost of pass = x dollars,
Then, cost of souvenir = 2/3 of x = 2x/3 dollars
And the cost of burger = 1/4 of cost of souvenir = 1/4 (2x/3) = [tex]\dfrac{2x}{12} = \dfrac{x}{6}[/tex] dollars.
Also, we have:
Total initial amount = Amount spent + Amount remaining
or
43 = Cost of all those 3 items + 4.5
[tex]43 = x + \dfrac{2x}{3} + \dfrac{x}{6} + 4.5\\43 = \dfrac{6x}{6} + \dfrac{4x}{6} + \dfrac{x}{6} + 4.5\\\\43 = \dfrac{11x}{6} + 4.5\\\\\text{Subtracting 4.5 from both the sides}\\\\43-4.5 = \dfrac{1x}{6}\\\\\\dfrac{11x}{6} = 38.5\\\\\text{Multiplying 6/11 on both the sides}\\\\x = \dfrac{6 \times 38.5}{11} = 21[/tex]
Thus, the cost of pass was $21
Now, we get:
Cost of souvenir = 2x/3 = [tex]\dfrac{2(21)}{3} = 2\times7 = 14[/tex] dollars,
and cost of burger = [tex]\dfrac{x}{6} = \dfrac{21}{6} = 3.5[/tex] dollars.
Thus, the cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5
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Which formula can be used to find the nth term of the sequence 0.8, 0.72, 0.648
Answer: C
Step-by-step explanation:
Took the test
Answer:
an=0.8x0.9n-1
Step-by-step explanation:
9) A rectangular pencil box has internal dimensions of 2 cm by 4 cm by 9 cm. What is the length, to the nearest centimeter, of the longest pencil that will fit into the box?
A) 9 cm B) 11 cm C) 10 cm D) 12 cm
show work for brainlist
Choose the most accurate statement based on the graph shown below.
A.) The graph is a good representation of the data.
B.) The graph is misleading because it uses 3-dimensional bars.
C.) The graph is misleading because the vertical range is too small creating the impression that differences are greater than they actually are.
Answer: A). The graph is a good representation of the data
Step-by-step explanation: The graph clearly represents that data, and it gets the point through. The graph is 3D, yet it clearly adds up to the lines therefore it is not misleading that way.
The vertical range seems fine to me, and I don't see how it being too small could create the impression that the distances are greater then they actually are.
I know its not B, because I did this question a couple minutes ago. Therefore there is nothing really misleading about this graph.
Answer:
doing the test now, it's "the graph is a good representation of the data"
Step-by-step explanation:
once, again i'm doing the test right now
I will give you a Brainly crown if it is right. Will you help me!! Just because I click six does not mean it is six
Answer:
Choice b is correct.
Step-by-step explanation:
When a positive number, and a negative number are multiplied or divided, the quotient or sum is always negative. Hope this helps.
Estimate the perimeter of the figure
Answer:
18 units
Step-by-step explanation:
If each square on the graph equals one unit then you can count the amount of times the line takes up the length of one square.
pls help. . . . . . .. . . . . . . . . .. .
Answer:
b
Step-by-step explanation:
Answer:
1,536 [tex]in^{3}[/tex]
Step-by-step explanation:
You multiply the length, width, and depth to get the volume. [tex]12 * 8 * 16= 1536 in^{3}[/tex]
Y=3.2x+5 what is the answer for y
Answer:
Step-by-step explanation:
Y = 3.2x + 5 is a linear function with slope 3.2 and y-intercept 5.
For any x value you choose to substitute for x, you'll obtain a unique y value. For example, if we were to substitute -3 for x, we'd get:
f(-3) = y = 3.2(-3) + 5, or y = -9.6 + 5 = -4.6
There is only one y result for each choice of x.
Y=3.2x+5 alone does not have an "answer." Again: You must pick your own x values and for each such value you must calculate y.
What is the G.C.F of 36 and 18? *
Hope this will help u...:)
A student found the MAD of the data shown. What was
the student's error?
When calculating the mean, the student divided the
sum by the wrong number.
When calculating the MAD, the student divided the
sum by the wrong number.
When calculating the distances to the mean, the
student forgot to take the absolute values.
O When calculating the MAD, the student forgot to
take the absolute value of the result.
Answer: C: When calculating the distances to the mean, the student forgot to take the absolute values.
Step-by-step explanation: I just did the question
Answer:
the answer is c, ''When calculating the distances to the mean, the student forgot to take the absolute values.''
Step-by-step explanation:
i got it right on edg.
Help me part a and B
Given:
Funnel is in the shape of a cone.
Radius = 4 inches
Height = 10 inches
To find:
a) The volume of the funnel
b) How many quarts of oil are in the funnel.
Solution:
Volume of cone:
[tex]$V=\frac{1}{3}\pi r^2 h[/tex]
[tex]$V=\frac{1}{3}\times 3.14 \times 4^2 \times 10[/tex]
[tex]$V=167.47[/tex] in³
The volume of the funnel is 167.47 in³.
1 qt ≈ 58 in³
To convert cubic inch to quarts divide by 58.
[tex]$167.47in^3=\frac{167.47}{58}[/tex]
= 2.9 quarts
Therefore 2.9 quarts of oil are in the funnel.
which of the following is a solution of the inequality y-5≥8
Answer:
See below
Step-by-step explanation:
Given: y-5≥8
Add 5 to both sides: y≥13
So any real number that is equal to 13 or above will be a solution for y.
Answer:
y>=13
Step-by-step explanation:
Let's solve the given question
y-5>=8
Add 5 to both sides
y>=8+5
y>=13
Note the >= will change only if that other side is negative
But since it is positive,it still remains
y>=13
In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?
Answer:
k is the vertical shift
Step-by-step explanation:
y=a(x-h)^2+k
This gives the parabola in vertex form
(h,k) is the vertex where h is the x coordinate and k is the y coordinate
k is the vertical shift
Survey 1: A township employee surveys all 118 workers at a shopping mall to learn about the salaries of the workers.
Survey 2: A restaurant employee asks 40 repeat customers if they enjoy the food.
Survey 3: A company randomly selects 100 customers from its database and surveys them to see if they enjoy their product.
Answer:
Step-by-step explanation: survey 1:3
survey 2:2
survey 3:1
Answer:
The answer is
3
2
1
Step-by-step explanation:
I got a right
Which expression is equivalent to 6(4(6x-4y)-5) ?
Answer:
[tex]144x - 96y - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]6(4(6x - 4y) - 5)[/tex]
[tex]6((4 * 6x) + (4 * -4y) - 5)[/tex]
[tex]6(24x - 16y - 5)[/tex]
Step 2: Distribute again
[tex](6 * 24x) + (6 * -16y) + (6 * -5)[/tex]
[tex]144x - 96y - 30[/tex]
Answer: [tex]144x - 96y - 30[/tex]
What is the slope of the line that contains the points (-1,9) and (5,21)
Answer:
2
Step-by-step explanation:
slope of the line is the gradient (m):
m = y2-y1 / x2-x1
m = 21-9 / 5-(-1)
m = 12 / 6
m = 2
Answer:
The correct answer is D. 2
Step-by-step explanation:
I just got it correct.
Solve the equation 3 x - 2/4 - 2 x - 5/3 = 1 + x / 6
Answer:
19/5 = 3,8
Step-by-step explanation:
x - 13/6 = 1 + x/6
6x - 13 = 6 + x
5x = 19
x = 19/5 = 3,8
Answer: x= 19/5
Step-by-step explanation:
Graphic DesignWorks employed three different salespeople last year. Person
1 earned $3500 in the first quarter, person 2 earned $7500 in the first quarter,
and person 3 earned $8000 in the first quarter. What are the maximum FUTA
deductions for the first quarter?
O
A. $217.00
O
B. $961.00
O
O
C. $1085.00
D. $1178.00
Answer:
$1085.00
Step-by-step explanation:
The maximum FUTA deductions for the first quarter is $1050.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The Federal Unemployment Tax Act (FUTA) tax rate is 6% of the first $7,000 paid to each employee per year.
So,
For person 1:
The FUTA tax is 6% of $3500 = $210.
For person 2:
The FUTA tax is 6% of $7000 = $420
Since the FUTA tax is limited to $7000 of wages per employee per year.
For person 3:
The FUTA tax is 6% of $7000 = $420.
Since the FUTA tax is limited to $7000 of wages per employee per year.
The maximum FUTA deduction would be the sum of the FUTA tax for each employee.
= $210 + $420 + $420
= $1050.
Therefore,
The maximum FUTA deductions for the first quarter is $1050.
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Flippin Middle School spends $11 for every workbook it buys. At most how many workbooks can Flippin Middle school buy if it has $44 to spend?
Answer:
4
Step-by-step explanation:
4 because 11x4=44
Flippin Middle School can buy at most 4 workbooks if it has $44 to spend.
To determine the maximum number of workbooks that Flippin Middle School can buy with $44, we need to divide the total amount of money available by the cost of each workbook.
Let's denote the number of workbooks that can be bought as [tex]\( W \)[/tex], and we know that each workbook costs $11. Therefore, the total cost for [tex]\( W \)[/tex] workbooks would be [tex]\( 11W \)[/tex].
Given that the school has $44 to spend, we can set up the following inequality to find the maximum number of workbooks that can be purchased:
[tex]\[ 11W \leq 44 \][/tex]
Now, we divide both sides of the inequality by 11 to solve for [tex]\( W \)[/tex]:
[tex]\[ W \leq \frac{44}{11} \][/tex]
[tex]\[ W \leq 4 \][/tex]
Since [tex]\( W \)[/tex] must be a whole number because one cannot buy a fraction of a workbook, the maximum number of workbooks that Flippin Middle School can buy is 4.
How to do surface area of a triangular prism
Answer:
651.6
Step-by-step explanation:
surface area = b h + 2 l s + l b
b= base h= height l= length s= side
or
find area of all the parts and add together
Place the four problem-solving steps in order.
Look back
Understand
Plan
Solve
SUBMIT
Answer:
understand plan solve look back submit das easy
Step-by-step explanation:
The red shape has been translated into the blue shape. The translation is
A) (x', y') = (x, y - 6)
B) (x', y') = (x - 6, y)
C) (x', y') = (x - 4, y - 4)
D) (x', y') = (x - 6, y - 6)
multiply the fraction 4/5 × 5/6 simplify answer
Answer:
2/3 or 0.6 repeating
Step-by-step explanation:
Cross multiply
(4/5) * (5/6)
0.666666666 (2/3)
om has four dollars. Bob has three times as much as Tom. Cindy has twice as muchas Bob. How much do they have altogether?
Step-by-step explanation:
4 × 3 = 12 - Tom × Bob
12 × 2 = 24 - Bob × Cindy
4 + 12 + 24 = 40 - Tom + Bob + Cindy
Answer:24
Step-by-step explanation:
Tom: has 4
Bod: 3x4=12
Cindy: 2x12=24
Pleasee I need help before 4:00 pm (10 points)
Answer:
-5x -8y = -5
Step-by-step explanation:
4x-4y = -2
-9x -4y = -3
--------------------
-5x -8y = -5
Answer:
-5x-(-8y=-5
Step-by-step explanation:
A float in a parade may use as many tulipstulips as a florist sells in 9 years. If t is the number of tulipstulips a florist sells in 1 year, write an algebraic expression to represent the number of tulipstulips a float in the parade may use
Answer:
9t
Step-by-step explanation:
In a case whereby A float in a parade may use as many tulipstulips as a florist sells in 9 years. If t is the number of tulipstulips a florist sells in 1 year, algebraic expression to represent the number of tulipstulips is 9t
What is algebraic expression?Any mathematical statement that consists of numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the formula 4m + 5 consists of the words 4m and 5, as well as the variable m, which is divided by the arithmetic symbol +.
Based on the provided information from the question;
Time = 9 years.
t= number of tulipstulips a florist sells in 1 year,
algebraic expression = 9t
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The value of a car in each of its first 3 years is: $24,000, $18,000, $13,500. These amounts form a sequence. Which of the following statements best describe this sequence?
Geometric with a common ratio of approximately 1.33
Geometric with a common ratio of 0.75
Arithmetic with a common difference of $6000
Neither arithmetic or geometric
Answer:
The second one
Step-by-step explanation:
I WILL GIVE YOU A BARNLIEST BUT PLEASE PLEASE HELP
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Answer:
Wilhem is correct.
Answer:
wilhem
Step-by-step explanation:
bru How many solutions does 3x + 15 = 3 (x + 15)
Answer:
No Solutions
Step-by-step explanation:
Step 1: Distribute
[tex]3x + 15 = 3(x + 15)[/tex]
[tex]3x + 15 = 3x + 45[/tex]
Step 2: Subtract 3x from both sides
[tex]3x + 15 - 3x = 3x + 45 - 3x-1[/tex]
[tex]15 \neq 45[/tex]
Answer: No Solutions
Which set of line segments could create a right triangle? (4 points)
Group of answer choices
5, 6, 11
5, 9, 10
5, 13, 18
5, 12, 13
Answer:
5,6,11
Step-by-step explanation:
Answer:
A 5, 6, 11
Step-by-step explanation:
PLZ HELP!!! Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the equation h = −4t(4t − 12), where h is the height in feet of the arrow and t is the time in seconds. How long is the arrow in the air? The arrow is in the air for ____ second(s).
Answer:
32t
Step-by-step explanation:
(-4t x 4t) + (-4t x 12)
= -16t + (-4t x 12)
= -16t+48t
= 32t