30 day period
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5
+2x +2x
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
More about the linear equation link is given below.
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Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
B is between A and C, BC=38, and AC=42. Find AB
help please!
Answer:
AB = 4
Step-by-step explanation:
AB + BC = AC
Substitute the line segments for their given values:
AB + 38 = 42
Subtract both sides by 38:
AB = 42 - 38
AB = 4
Check your work:
4 + 38 = 42
42 = 42
Correct!
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15
(3x + 7)(2x - 1) equals 6x^2 + 11x − 7
Explanation: You expand the polynomial using the FOIL method.
if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?
Answer:
26
Step-by-step explanation:
if his chair is 14 away from the left he would be 26 away from the right
Two numbers are in the ratio 1:2. If 7 is to be added to both, then ratio changes to 3:5, find the numbers
Let numbers be x and 2x
ATQ
[tex]\\ \rm\longmapsto \dfrac{x+7}{2x+7}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\longmapsto 5(x+7)=3(2x+7)[/tex]
[tex]\\ \rm\longmapsto 5x+35=6x+21[/tex]
[tex]\\ \rm\longmapsto 6x-5x=35-21[/tex]
[tex]\\ \rm\longmapsto x=14[/tex]
2x=2(14)=28yearsfind the last two digits of 2^2016
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Call a bottle of juice costs is x
$2.49 + 12x = $27.57
12x = $27.57 - $2.49
12x = $25.08
x = $25.08 / 12
x = $2.09
SO each bottle of juice costs $2.09.
Mark as Brainliest If the answer is helpful!
More help Pls (am also giving away points).
Answer:
But where is the question???????
Can anyone please help me to find the area of this please
9514 1404 393
Answer:
√35 +3√7 -6 . . . square units
Step-by-step explanation:
The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.
Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.
The overall width is the sum of the given partial widths:
width = (√7 -2) + (2) = √7
Then the area of the bounding rectangle is ...
A = LW = (√5 +3)(√7) = √35 +3√7
The area of the upper right empty-space is ...
A = LW = (3)(2) = 6
Then The area of the shaded figure is ...
√35 +3√7 -6
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!
Answer:
Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.
Step-by-step explanation:
I derped. I'm sorry. Here is the answer as an actual answer :)
Answer:
Company C
Step-by-step explanation:
No. of acute angles in the given figure:_____
Answer:
looks like there's 5
Step-by-step explanation:
acute angles are under 90°
obtuse are over 90°
right angles are 90°
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
What is the scale factor from L to S
Answer:
-2
Step-by-step explanation:
Triangle S
Base = 2Height = 4Triangle L
Base = 4Height = 8For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2
Hope it helps,... Chow,...!
Which ordered pair is a solution to the equation y = 2x + 1?
A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)
Given the function f(x) = 4x+2, what is the value of f(3)?
Answer: f(3) = 14
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given function
f(x) = 4x + 2
Substitute value of the x into the expression
f(3) = 4(3) + 2
Simplify by multiplication
f(3) = 12 + 2
Simplify by addition
f(3) = [tex]\boxed{14}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.
a=15
b=23
Step-by-step explanation:
a+8=b
2a=b+7
2a=(a+8)+7
2a=a+15
a=15
find the slope of the line that is perpendicular to the line graphed in the figure
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
Rewrite the following mathematical statement in your own words
Answer:
a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a
f: M ⇒ N is a function from M to N.
Given,
f: M ⇒ N
We need to describe this mathematical statement in our own words.
What is a function?A function is defined as a way where there is an input that it takes and produces an output.
The set from where the inputs come is called the Domain.
The set of outputs is called the Range.
We have,
f: M ⇒ N
Here
f is a function that takes input from the set M and its output belongs to set N( Natural number).
Here,
M is called the domain.
N is called the codomain.
Thus f: M ⇒ N is a function from M to N.
Learn more about function here:
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A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?
Answer:
64 ivy stems
Step-by-step explanation:
72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece
Create an equation with x being the amount of ivy stems needed.
x / 16 = 4
x = 64
( x+y+z )² + 2( x+y+z ) +1
Answer:
[tex](x+y+z+1 {)}^{2} [/tex]
Step-by-step explanation:
[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]
[tex](x+y+z+1 {)}^{2} [/tex]
Hope it is helpful....Here is your answer hope this helps you.
(2t + 1) – (t – 9) = -52 – 8t
Show work ion get it
Step-by-step explanation:
Open the brackets
2t+1-t+9 = -52-8t
Collect the like terms
2t-t+8t = -52-1-9
9t= -62
Divide both sides by 9
t= -62/9
= -6.88
Approximately -6.9
Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week
60 days or 8.5 weeks
Step-by-step explanation:
1800-600=1200
1200/20=60
60/7=8.5
1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?
Answer:
Step-by-step explanation:
50 por que si no lO seeee agradezcan que respondo
plz help me find the slope
Answer:
4/5
Step-by-step explanation:
Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up
Up is Y value
Front is X value
To solve it is adding the value that you get from moving it in this case
5 front X equals to 5
4 up Y equals to 4
Then is 4/5
because the formula is Y/X
*Plz it due today HELP!!!!!!Justin has been collecting baseball cards for years. He bought 137 cards the first year
and 143 cards the second year. He plans on putting them in a binder that will hold seven
cards per page. How many pages must the binder have to hold Justin's collection? *Plz tell me what the math action word is I need to box it*
Answer:
40
Step-by-step explanation:
137+143=280
280/7= 40
Answer:
Division/dividing/divide
Step-by-step explanation:
If Justin has 280 baseball cards, and if each page will only hold 7 cards per page, then by dividing 280 by 7 (280÷7) would equal to 40 pages.
please help me is for my homework
Step-by-step explanation:
12/100 I think from a while ago.
Answer:
your answer is 12/100
but as a percent, it is 1200%
Step-by-step explanation:
There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?
Answer:
73%
Step-by-step explanation:
/ means divide
you divide the total by those who showed up
27/37 = .7297 = around .73 = 73%
What is the product of ¼, -½ and -¾?
a
0.0934
b
-0.6543
c
-0.09357
d
0.09375
find the domain of y= √3x+3
Answer:
it's hard to tell the exact question being asked...
y = [tex]\sqrt{3x} + 3[/tex]
or
y = [tex]\sqrt{3x+3}[/tex]
if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )
if y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )
Step-by-step explanation:
Evaluate the function: f(n)=3n-1 ; f(-1)= ?
Answer:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)
Step-by-step explanation:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)