Tavon has a gift card for $130 that loses $3 for each 30-day period it is not used. He has another gift card for $110 that loses $2.50 for each 30-day period it is not used. a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal value? a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)
Answer:
55
Step-by-step explanation:
The required solution is 40 and after 40days $10 left for each of the gift card.
It is required to find the solution.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The first equation is 130 - 3x because you start with $130 and subtract 3 for each 30 day period.
The second equation is 110-2.50x
Set them equal to each other: 130 - 3x = 110 - 2.50x
Solve for x:
130 - 3x = 110 - 2.50x
130-110=3x-2.50x
20=0.50x
40 = x
After 30-40 day periods (1200 days), both cards should have equal value.
Card 1 after 40 periods,
=130 - 3(40) = $10 left
Card 2 after 40 periods
=110 - 2.5(40) = $10 left
Therefore, the required solution is 40 and after 40days $10 left for each of the gift card.
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Stickers come in packs of 5. Max buys 12 packs. He gave his three friends some stickers. They each receive the same number. He has 27 stickers left. How many stickers did max give each of his friends?
Answer: 11 stickers each
Step-by-step explanation:
given data:
packs of stickers bought by mark = 12 ( 5 ) = 60 stickers
no of stickers left with mark = 27
= Total no of stickers – stickers remaining with mark
= 60 – 27
= 33 stickers
he gave his 3 friends equal number of stickers.
3x = 33
x = 11
number of stickers received by each friend is 11
12 POINTS TO THE BRAINLIEST ANSWER!!!! PLEASE HELP!! Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences. PLEASE ANSWER ALL QUESTIONS
Answer:
yes Dan and Tess have enough money because the price is 22.9075 after discount
Step-by-step explanation:
the original price of the book=24.50
the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars
the price for the students is : 24.50-(24.5*15%)=20.825
the price to students +tax= 20.825+(20.825*10%)= 22.9075
See what Tess did:she took 15 % from original price :24.50-(24.5*15%)=20.825
she took 10 % of discounted price :20.825.50*10%= 1.04125
adds it back to find the purchase amount:1.04125+20.825=21.86625
what Dan did:Dan takes 85% of the normal purchase price: 24.50*85%= 20.825
then compute 110% to the discounted price: 20.825*110%=22.9075
Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Complete the statements to represent the change in the amount of money that
Noah's mother has.
Click the arrows to choose an answer from each menu.
The change in the amount of money that Noah's mother
has can be represented by the
expression Choose... The expression can be simplified to Choose... which
shows that Noah still owes Choose... to his mother.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Amount Noah borrowed from his mother = $17
Amount paid = $8
Change in the amount of money Noah's mother has :
Let initial amount her mother has = x
Hence, the amount she has after Noah paid $8 to her will be :
Initial amount - amount borrowed + amount paid
= x - $17 + $8.
The simplified amount = x - $9
The amount Noah still owes :
Total amount owed - amount paid
$17 - $8 = $9
The change in the amount of money that Noah's mother will be $ 9.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Then the amount owed will be given as the difference between the initial amount and paid amount.
→ $ 17 - $ 8
→ $ 9
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-1/2(3x-4)+3x=5/6
Please help
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
__
Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? Round your answer to the nearest whole number
Answer:
14850 inches
Step-by-step explanation:
The complete question is...
A scale drawing of a living room is shown below:
A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
The ratio of the scale = 1:30
This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.
We first scale up the drawing to 30 times to get the dimensions of the actual building.
The length on the drawing = 5.5 inches
The real length of the actual building = 5.5 x 30 = 165 inches
The width of the drawing = 3 inches
The width of the actual building = 3 x 30 = 90 inches
The area of the actual building = length x width
==> 165 x 90 = 14850 inches
Find the GCF of 38, 76, and 114.
GCF = 38
Step-by-step explanation:38 = 2×19
76 = 4×19 = 2²×19
114 = 2×3×19
GCF = 2×19 = 38
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
Which point could represent 5 3 ?
Answer:
the answer is c
Step-by-step explanation:
i just finished the lesson
Answer:
c
Step-by-step explanation:
Evaluate the expression when y=-3.
y2 + 6y +8
The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.
An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.
In the given question,
algebraic expression = [tex]y^2+6y+8[/tex]
the value of the algebraic expression at y = -3
[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]
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Helo please I need help
Answer:
9:16
Step-by-step explanation:
In a similar rectangle , the ratio of lengths should be equal to ratio of widths.
Ratio of lengths =
[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Hence , Ratio of widths =
[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9
Area of rectangle 2= Length 2 × Width 2= 4×4= 16
Ratio of areas of both rectangles =
[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]
THESE ARE DUE TODAY PLEASE HELP!
Answer:
24. a. perimeter=6x-6 or 6(x-1) b. area=2x²+x-28
25. -5x² and 2x are not like terms so you cannot combine them.
Step-by-step explanation:
24. a. perimeter:
add up each side:
(2x-7)+(2x-7)+(x+4)+(x+4)= 6x-6 or 6(x-1)
b. area:
F.O.I.L.:
(2x-7)(x+4)=2x²+8x-7x-28
2x²+x-28
Solve for b.
y = mx + b
Answer:
b = y - mx
Step-by-step explanation:
So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.
y = mx + b
Subtract mx from both sides.
y - mx = b
b = y - mx
So we have not solved for b. We have found that b = y - mx.
I hope you find my answer and explanation helpful. Happy studying. :)
Given Q is between J and K, JQ is five times the length of JK and JK=42 find the length of JQ
Answer:
210
Step-by-step explanation:
JQ is 5 times the length of JK
● JQ = 5JK
JK = 42
● JQ = 5 × 42
● JQ = 210
Nigel has 3/4 of a chocolate candy bar that he wants to share equally among his friends Cameron, Devin, and Tyrek. How much will
Cameron receive of the candy bar?
Your answer:
Answer:
3/4 divided 4=16 or 0.1875
Step-by-step explanation:
3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16
I need help pleaseee I don’t understand how to do this
Answer:
-1x/-5y=-1.5
Step-by-step explanation:
when you enter the values into the graph, you get the slope. then divide the total by 5 and you get the correct answer.
Nolan is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot and when he leaves the lot he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Nolan have to pay for parking if he left his car in the lot for 6 hours? How much would Nolan have to pay if he left his car in the lot for t hours?
Answer:
i. $26
ii. $(8 + 3t)
Step-by-step explanation:
Given that: automatic fee is $8, and fee per hour is $3. Then;
i. If he left his car in the lot for 6 hours, amount to be paid can be calculated as thus;
since fee per hour is $3, then for 6 hours; the fee = 6 x $3
= $18
Total amount to be paid after 6 hours = automatic fee + $18
= $8 + $18
= $26
For parking his car for 6 hours, he would pay $26
ii. Amount paid for t hours = automatic fee + $ 3 x t
= $(8 + 3t)
Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.
Answer:
Domain: -2, 1
Range: -2, -4, 1
Step-by-step explanation:
A Domain is the first coordinate which is x
The Range is the second coordinate which is y
Hope This Helps :)
hii anyone mind helping me with this question :D
Answer:
0.0045
Step-by-step explanation:
:)
How do I simplify -2i squared?
Answer:
-2x^2
Explanation:
=-2*x^2
=-2*(x*x)
=-2x^2
7. Find the value of:
a) The number when 40% of the number is 10
Step 1) Set up a proportion
Proportion: percent / 100 = x / number
In context of the problem, the proportion is: 40 / 100 = 10 / number
Step 2) Cross-multiply and solve
100 x 10 = 40 x N
1000 = 40N
N = 25
Answer: The number is 25
Answer:
25Step-by-step explanation:
Let the unknown number be x
[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]
Cross Multiply
[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]
Divide both sides of the equation by 40
[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]
Simplify
[tex]x = 25[/tex]
1. 3x²y2 + 3x y2 + 5xy
Degree:
(Fill in the blank with monomial, binomial, or trinomial)
Answer:
Answer is trinomial
Step-by-step explanation:
degree:3x^2 y2 +3xy2 + 5xy
=the degree of first term = 4
= the degree of second term=3
= the degree of third term = 3
:. the degree = 4
the answer is 4
A
B
What is the domain and range?
Answer:
the domain is 5 and the range is 10
Step-by-step explanation:
What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.
Answer:
The answer is
12.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
B (4, 6) and K (–6, –2)
The distance is
[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]
We have the final answer as
12.8 to the nearest tenthHope this helps you
What is the measurement of this angle
Answer:
15
Step-by-step explanation:
PLEASE BELP ASAP
Find the area of the shape
below.
9 cm
11 cm
6 cm
15 cm
Answer:
105 cm squared
Step-by-step explanation:
15×6 to get the rectangle =90
then we have a triangle left so you do 15- 9 for the base =6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15. Add those together, we get 105. Hope that helped!
The area of the shape below is 105 cm².
What is the area of a Rectangle?The area of a rectangle is calculated by multiplying the length and width of the rectangle.
What is the area of a Triangle?
The area of a triangle is equal to half of the product of the triangle's base and height.
How to solve the problem?Cut the shape given into a triangle and a rectangle as given in the following figure. Then the area of the shape is the sum of the area of the triangle and the area of the rectangle. In the shape, we can clearly specify that the base of the triangle is (15-9) cm=6cm and the height is
(11-6)cm=5cm.
Thus,
The area of the rectangle in the figure is (6×15) cm²=90 cm², and
the area of the triangle in the figure is (1/2)(6×5) cm²=15 cm².
Hence, the area of the shape is 90+15 cm² = 105 cm².
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What is the sum of a number, x, and it’s opposite?
Answer:
The opposite of a number is its additive inverse. The sum of a number and its opposite is zero
Step-by-step explanation:
Answer:
- x, 0
Step-by-step explanation:
The opposite of x is - x because they cancel each other out. It doesn't matter what x is because - x and x are the same amount of distance from each other.
The sume of x and its opposite is 0.
Hope This Helps :)
4. Consider the following graph.
Part A: Plot two points to form a square in the above graph. Label the points R and
S. A square is a quadrilateral with all four sides of the same length. After
plotting the points, trace the square by connecting the points.
Part B: To find the perimeter of a polygon, take the sum of the length of each side.
What is the perimeter of the square that you created in Part A Round your
answer to two decimal places.
29.12 is the perimeter.
find the dimension of the missing side of a triangle given the following measurements: A=75 sq. ft, b=15 ft, h=?
Answer:
h = 10 ft
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh
Here A = 75 and b = 15, thus
[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )
15h = 150 ( divide both sides by 15 )
h = 10
Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today write and solve an inequality to solve for the least amount of money he needs to avoid a fee
Answer:
$20.96
Step-by-step explanation:
He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.
638.54 - 159.50 + x >= 500
After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.
479.04 + x >= 500
He must add at least x amount of dollars to his account to avoid a fee.
x >= 20.96
In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.