Answer:
Step-by-step explanation:
Explanation:
Step one:
The original price of the video game= $28.5
Cash at hand= $22
Discount= 30%
Tax= 10%
1. Pat's strategy
Amount discounted
=30/100*28.5
=0.3*28.5
=$8.55
28.5-8.55
=$19.95
Amount of tax added
=10/100*28.5
=0.01*28.5
=2.85
=17.15+2.85
=$22.8
Hence going by Pat's strategy, the total amount to be paid is
=$22.8
2. Henri's strategy
=70/100*28.5
=0.70*28.5
=$19.95
110% of $28.5
=110/100*28.5
=1.1*28.5
=$31.35
the tax is
31.35-28.5
=$2.85
i. Hence by Henri's strategy, the sales price with tax is
=19.95+2.85
=$22.8
ii. Yes Pat's strategy will compute the correct total,
30% of $28.5 is $8.55 which is the amount to be deducted as a discount
10% of $28.5 is $2.85 which is the amount to be added as tax
Hence the total amount to be paid is $22.8
iii Yes Henri's strategy also gave the correct total
70% of 28.5 is $19.95
110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5
= 31.35, substracting the original price we got the tax added
which is $2.85
iv. No, they both don't have enough money to purchase the video game,
because they only have $22and the game is to be sold for $22.8
what type of line is parallel to a horizontal line?
The lines parallel to a horizontal line have zero slope and their equation is of the form y = [tex]\pm\\[/tex] b.
We have a line parallel to a horizontal line.
We have to determine the nature of the lines parallel to a horizontal line.
What is the Slope of all lines parallel to x - axis ?The slope of all lines parallel to x - axis is -
m = tan (0) = 0
According to the question -
A horizontal line is a line that is parallel to the x - axis of the two - dimensional coordinate plane. Such lines have -
Slope = m = tan(0) = 0the equation of the form y = [tex]\pm\\[/tex] b, where 'b' is constant,Hence, the lines parallel to a horizontal line have zero slope and their equation is of the form y = [tex]\pm\\[/tex] b.
To solve more questions on horizontal lines, visit the link below-
https://brainly.com/question/2505681
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i have a photo can someone solve it
What kind of religion is catholic? pls help..
Answer:
Christian
Step-by-step explanation:
Christianity is an important world religion that stems from the life, teachings, and death of Jesus. Roman Catholicism is the largest of the three major branches of Christianity. Thus, all Roman Catholics are Christian, but not allChristians are Roman Catholic.
Answer:
is this serious?
Step-by-step explanation:
what is the unit rate for $4.75
Answer:
2.436
Step-by-step explanation:
It’s Right Trust me
Need help with 17 and 18
The value of x is???
Answer:
Value for x is 30.
Step-by-step explanation:
Use similarity theorem.
PLEASEEEE PLEASEE HELP!
Rachel has $5 in her savings account.
Option 1 will add $35 to her account each week.
Option 2 will double the amount of money in her account at the end of each week.
PART A:
Write a function in terms of x to model each option of saving.
PART B:
Rachel wants to have at least $700 in her account at the end of 8 weeks to go on a class trip. Determine which option will enable her to reach her goal. Justify your answer
Answer:
Step-by-step explanation:
Hello there! this problem will requite us to write 2 equations for both situations described.
firstly, the first equation will look something like this:
[tex]y=35x+5[/tex]
and the second equation will look like this:
y=5(1+100%)^x
If Rachel wants to save up 700 dollars in 8 weeks we can easily solve for which one will get her there by plugging in 700 for y and solving for x.
Solving for x in:
[tex]700=35x+5[/tex]
we find that this option will take a little over 19 weeks
Solving for x in:
700=5(1+100%)^x
we find that this option will take roughly 7.15 weeks
Hope this helps!
What is the value of x in the equation 4(2x + 1) = 27 + 3(2x − 5)?
Answer:
x = 4
Step-by-step explanation:
hope this helps :)
Answer:
x = 4
Step-by-step explanation:
Distribute 8x + 4 = 27 + 6x - 15
Combine your constants
8x + 4 = 12 + 6x
Combine like terms by using inverse operations.
2x + 4 = 12
2x = 8
Isolate your variable by using inverse operation
x = 4
Answer the question please
Answer:
I believe it is 9ft
Step-by-step explanation:
Use the drop-down menus to locate integers on the number line.
A number line going from negative 5 to 7. A is at negative 4, B is at negative 1, C is at 2, D is at 6.
A -4. -1 , 6, 2
B -4, -1, 6 , 2
C -4, -1, 6, 2
D -4, -1, 6, 2
A is -4
B is -1
C is +2
D is +6
( example: +3 is positive 3
-3 is negative 3 )
Hope this helped!
Hi I need someone to help me. :)
Answer:
D and B are similar to A
Step-by-step explanation:
The equation 5 x minus 10 y = 30 is written in standard form. What is the first step when solving for x?
Add 5x to both sides of the equation.
Subtract 5x from both sides of the equation.
Add 10y to both sides of the equation.
Subtract 10y from both sides of the equation.
Answer:
Add 10y to both sides.
Step-by-step explanation:
Answer:
C) Add 10y to both sides of the equation
Step-by-step explanation:
We need to get x by itself.
So to make the 10y go to the other side, we add 10y to cancel it on the left, but move it to the right.
The equation now looks like this:
5x = 30 + 10y
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The sum of three consecutive integers is 105. Find the integers.
Answer:
34,35,and 36
Step-by-step explanation:
x+x+1+x+2=105
3x+3=105 combine like terms on the left side
3x=102 subtract three on both sides
x=34 divide by three on both sides.
Hope this helps plz mark brainliest :D
Jenny deposits $100 every month into her
savings account. After 12 months, she had $1500
in her account. Write an equation to represent
the situation.
How much money did she start with in her
savings account?
Answer:
$300
Step-by-step explanation:
y = 100x + 300
where X represents the amount of months.
Can someone help me my class is at 9
Answer: 1/4
Step-by-step explanation: 20 is a fourth of 80
Please mark brainleist if I got it right. I really need it to level up
HELP WIT THIS IF U CAN
Answer:
I am also think that the answer is A.
Step-by-step explanation:
hope it's helpful..
:-befrank
the product of four and a number is negative twelve
Answer:
4x=-12
Step-by-step explanation:
Let a number = X
So
The product of four and a number is negative twelve
4x=-12
You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
798
Step-by-step explanation:
21x38=798
Is this function linear or nonlinear
Answer:
Nonlinear
Step-by-step explanation:
There is an exponent so the equation will not be linear.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
non linear
Step-by-step explanation:
......................................................................... (5)²=....................................................................
Answer:
the answer is 25
Step-by-step explanation:
(⚠️⚠️HELP!⚠️⚠️)Mary bought 18 books. Mary bought 6 times as many books as Carlos. Let b be the number of books that Carlos bought. Write an equation that relates the number of books that they bought. Use 6, 18, and b.
Answer:
18=6b, b=3
Because Mary has 6 times as much as Carlos does, we put the x with 6. 18 is the number that 6x equals. 6*3=18
Answer: the answer to your question is 3
Step-by-step explanation:
Coach De Leon purchases sports equipment. Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00.
Answer:
Part A: 18s+20b<_150
Part B: 5 basketballs and 2 soccer balls
Step-by-step explanation:
Find the y - intercept of the line:
8
y=-3 -
7
Select one:
O a. 5/3
O b. - 5/3
O c.8/7.
O d. - 877
Answer:
d. [tex] -\frac{8}{7} [/tex]
Step-by-step explanation:
The y-intercept value in a given equation in the slope-intercept form, y = mx + b sis represented by b.
Thus, given the line [tex] y = \frac{-5x}{3} - \frac{8}{7} [/tex], the value of b (y-intercept) is represented as [tex] -\frac{8}{7} [/tex].
It is the value of y when x = 0.
Therefore, the y-intercept of the line is [tex] -\frac{8}{7} [/tex].
4/3 b - 11 = 25 what does b = ?
Answer:
the answer is 27
Step-by-step explanation:
Work out the mean for the data set below:
2, 3, 2, 3, 3, 5, 5
Give your answer as a fraction.
Answer:
[tex]\frac{23}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStatistics
Mean: [tex]\frac{total}{amount}[/tex]Step-by-step explanation:
Step 1: Define
Total: 2 + 3 + 2 + 3 + 3 + 5 + 5 = 23
Amount: 7 numbers
Step 2: Find mean
Substitute: [tex]\frac{23}{7}[/tex]And we have our final answer!
Which situation represents a proportional relationship?
Answer:
c.... i am just smart
Angle M has a measure of 47°. Triangle L M N is cut by perpendicular bisector N P. The lengths of sides L N and N M are congruent. Line segments L P and P M are congruent. Angle P M N is 47 degrees. What is the measure of angle PNL? 43° 47° 86° 94°
Answer:
The correct option is a. 43°
Step-by-step explanation:
The answer is A, 43 degrees!
If 5 bags of oranges weigh 35 pounds, how many pounds do 2 bags of oranges weigh?
A. 7 pounds
B. 10 pounds
C. 14 pounds
D. 70 pounds
Answer:
C 14 pounds
Step-by-step explanation:
5 bags=35 pounds
1 bag=7 pounds
2 bags = 14 pounds
Answer:
c:)
Step-by-step explanation:
What is equation 3 in this situation because I don't understand how to find it
does anyone know what the output is
The input is the x value. Replace x with 5 and solve:
2x = 2(5) = 2 x 5 = 10
The output would be 10
Answer:
10
Step-by-step explanation:
Replace x with 5. 2 multiplied by 5 is 10.