Tavon has a gift card for 115 that loses 2.50 for each 30-day period it is not used. He has another gift card for 95 that loses 2 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?
If x is the number of 30-day periods, then the equation _____
nothing can be used to find the number of 30-day periods until the values of the gift cards will be equal
Answer:
a) Equation: 115 - 2.5x = 95 - 2x
ii) x = 40
b) The value of each gift card for which they'll be equal = 15
Step-by-step explanation:
a) Equation for the number of 30 days until the value of the gift cards are equal:
card 1: gift card for 115 that loses 2.50 for each 30-day period
115 - 2.5x - - - - (1)
card 2: gift card for 95 that loses 2 for each 30-day period
95 - 2x - - - - - - (2)
equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:
115 - 2.5x = 95 - 2x
making x the subject of the formula:
115 - 95 = -2x + 2.5x
20 = 0.5x - - - - (i)
x = 20 ÷ 0.5
x = 40
b) the value on the gift card
From expression 1 above; 115 - 2.5x
where x = 40
115 - 2.5x = 115 - 2.5(40)
= 115 - 100 = 15
from expression (2); 95 - 2x
95 - 2(40) = 95 - 80 = 15
∴ The value of each gift card for which they'll be equal = 15
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Answer:
this is the answer
URGET! ASAP! WILL GIVE BRAINLIST! Complete the description of the piecewise function graphed below
Answer:
f(x)= { 3 if -5<x<=-1
Step-by-step explanation:
I followed the exact pattern the domains below were exemplifying. I really hope this helps, have a good rest of your day/ night :)
A line has a slope of 1 over 4 and passes through the point 0.2 4 over 5 find the value of b , the y intercept
Answer:
it equals 7
Step-by-step explanation:
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 3, 1. Line g of x passes through points negative 4, 0 and negative 3, negative 3.
3
one third
negative one third
−3
Answer:
The Answer is d -3
Answer:
The Answer Would Be D. -3
which angle number is a vertical angle to
Answer:
Angle 7 or angle DHG
Step-by-step explanation:
Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)
If a • b = 0, and a ≠ 0, then b = __
Answer:
it can be 0 or any number
Step-by-step explanation:
anything x 0 is 0
PLEASE I NEED HELP I TRIED DOING THIS PROBLEM AND IM VERY CONFUSED
Answer:
6
Step-by-step explanation:
I’ll mark u BRILLANT pls hurry A factory produces 450 cans of tomatoes every half hour.
What would the slope of the line in a graph of this situation represent?
A. 450 cans per minute
B. 30 cans per hour
C. 15 cans per minute
D. 15 cans every 30 minutes
Grade 8 Pre-Algebra A
Identliying Lines with a slope of Zero
ty
Which line has no slope?
а
c
O Line a
d
Line b
b
O Line c
O Line d
Answer:
line b
Step-by-step explanation:
any horizontal line has a slope of 0
a vertical line's slope is undefined
hope this helps!! <3
Hurry hurry i need help asap please hel
3 x minus 10 = 2 x + 5
Answer:
x = 15
Step-by-step explanation:
Hope This Helps!
Use the graph shown to fill in the blank.
When x = -3, then y =
==========================================================
Explanation:
Draw a vertical line through -3 on the x axis
This vertical line crosses the diagonal line at point P as shown in the diagram below.
Draw a horizontal line from point P to the y axis to get to y = -6
This shows that (x,y) = (-3,-6) is a point on the diagonal line.
PLEASE HELP WILL MARK BRAINLEST IF RIGHT***** Write the contrapositive of the given statement: If m∠B=90°, then ∠B is a right angle. *
9514 1404 393
Answer:
if ∠B is not a right angle, then m∠B ≠ 90°.
Step-by-step explanation:
The contrapositive of ...
If P, then Q.
is ...
If not Q, then not P.
__
Here, we have ...
P = m∠B = 90° ⇒ not P = m∠B ≠ 90°
Q = ∠B is a right angle ⇒ not Q = ∠B is not a right angle
Then the contrapositive is ...
If ∠B is not a right angle, then m∠B ≠ 90°.
Factorisation of 6,8
Answer:
Factor of 6 = 1, 2, 3 and 6. Factor of 8 = 1, 2, 4 and 8.
plz mark brainliest
Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and properties of equality to isolate the variable term? Negative StartFraction 2 Over 9 EndFractionx -Five-thirds= -Two-thirdsx + StartFraction 32 Over 3 EndFraction -StartFraction 4 Over 9 EndFractionx =StartFraction 27 Over 3 EndFraction Negative StartFraction 2 Over 9 EndFractionx + Two-thirdsx - StartFraction 37 Over 3 EndFraction = 0 StartFraction 4 Over 9 EndFractionx =StartFraction 37 Over 3 EndFraction
Answer:
It is D.4/9x=37/3
Step-by-step explanation:
i took the test
Answer:
D
Step-by-step explanation:
edge2020
What is (1+1)x2. New friends? Ig: onlywne._shayyy sc: onlywne.shayyy This is me for ppl that havent seen
Answer:
4
Step-by-step explanation:
math is my explanation
Answer:
4
Step-by-step explanation:
I think that this right
Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws. Each person shoots for an equal amount of time, while the other person rebounds the ball. How long does each person shoot free throws? Write your answer as a proper fraction or mixed number.
Answer:
22¹/₂ minutes
Step-by-step explanation:
If Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws, the total time it takes for the both of them to shoot free throws is 45 minutes.
Let the amount of time Trent and Vivian shoot the free throws be t₁ and t₂ respectively.
Since they both throw at equal times, t₁ = t₂ = t.
Now t₁ + t₂ = 45 the total time it takes to shoot the free throws.
Since, t₁ = t₂ = t.
t₁ + t₂ = 45
substituting t into the equation, we have
t + t = 45
adding the t's, we have
2t = 45
dividing both sides by 2, we have
t = 45/2
t = 22¹/₂ minutes
So, it takes each person 22¹/₂ minutes to shoot free throws.
Answer:
22 1/2 minutes
Step-by-step explanation:
45 divided by two =22 1/2
Hope this helps :)
Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should Anthony spend on each job if he wants to earn at least $125 each week?
Select a system of inequalities to represent the situation. Let x represent hours of tutoring and y represent hours of babysitting.
A)
x+y≤14; 10x+15y≥125.
B)
x+y≤14; 15x+10y≥125.
C)
x+y≥14; 15x+10y≥125.
D)
x+y≤125; 15x+10y≥14.
Answer:
Step-by-step explanation:
C
The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.
Let the hours of tutoring would be x
And y the hours of babysitting would be y
Given that He can work no more than 14 hours a week.
So inequality as per the above situation is: x + y ≥ 14
Since he charges $15 an hour for tutoring and $10 an hour for babysitting.
If he wants to earn at least $125 each week.
So inequality as per the above situation is: 15x + 10y ≥ 125
Therefore, the correct answer would be option (C).
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
If an area can be washed at a rate of 3,600 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answer:
276923 square inches
Step-by-step explanation:
I probably got it wrong to be honest
Please help, this is due today!!
Answer:
it can go 100×
Step-by-step explanation:
Biden 2020 And Foreva
1) 8h – 21 = 7(6 – 4)
Answer:
35/8 or 4.375
Step-by-step explanation:
Distribute the 7
[tex]8h-21=42-28[/tex]
Combine like terms on the right
[tex]8h-21=14[/tex]
Add 21 to both sides
[tex]8h=35[/tex]
Divide both sides by 8
[tex]h=\frac{35}{8} =4.375[/tex]
how to do this? Angles ?
It’s already labeled..
Multiply, or add the numbers labeled on them. It’s really not about the angles
Sorry I didn’t really give you an answer but I hope this helped!
find the domain of f(x)=4x+3 if the range is -5
Answer: -2
Step-by-step explanation:
See attached picture
Answer:
- 17
Step-by-step explanation:
Step 1:
f ( x ) = 4x + 3 Function
Step 2:
f ( x ) = 4 ( - 5 ) + 3 input x
Step 3:
f ( x ) = - 20 + 3 Multiply
Answer:
f ( x ) = - 17
Hope This Helps :)
(4r 2 −3r+2)−(−r 2 −3r)
which relation is not a function? PLEASE HELP ASAP
D has repetitive domain (x = 19). There are (19,11) and (19,10). A single x value only gives a single y-value. If a single x value gives more than one y-value then it's not Function.
So D isn't function
Shauna is going fishing. She records how many worms she has left at the start of each hour in the table below. Write a linear function
rule for the data.
0
1
3
4
2
5
у
9
7
3
1
O FIX) - - 2x + 9
O f(x) = -2x - 6
Of(x) - 2x - 6
O f(x) = 2x + 9
Answer:
[tex]f(x)= -2x + 9[/tex]
Step-by-step explanation:
The table is not properly formatted:
We have:
x ------- y
0 ------- 9
1 ------- 7
2 ------- 5
3 ------- 3
4 ------- 1
Required
Determine the linear equation
Since, it is a linear equation.
We need to first determine the slope.
Take any to corresponding values of x and y
[tex](x_1,y_1) = (0,9)[/tex]
[tex](x_2,y_2) = (4,1)[/tex]
Slope is then calculated as thus:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{9 - 1}{0 - 4}[/tex]
[tex]m = \frac{8}{- 4}[/tex]
[tex]m = -2[/tex]
The linear equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 9 = -2(x - 0)[/tex]
[tex]y - 9 = -2x[/tex]
Add 9 to both sides
[tex]y - 9 + 9= -2x + 9[/tex]
[tex]y = -2x + 9[/tex]
[tex]f(x)= -2x + 9[/tex]
i need some help. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received?
The answer is letter b
B: S x 12 = 96
use a common denominator to find -1¼+(-⅜).
Answer:
[tex] - 1\frac{5}{8} [/tex]
Step-by-step explanation:
[tex] = - 1 \frac{1}{4} + ( - \frac{3}{8} )[/tex]
[tex] = - \frac{5}{4} + ( - \frac{3}{8} )[/tex]
[tex] = \frac{ - 10 + ( - 3)}{8} [/tex]
[tex] = - \frac{13}{8} [/tex]
[tex] = - 1 \frac{5}{8} [/tex]
☆Detail :________________________________________
https://brainly.com/question/18516825
HELP MEEE! This is unit rates and I’m confused
Answer:
B
Step-by-step explanation:
A unit rate is a rate where the second quantity is one unit, such as $34 per pound, 25 miles per hour.
What is
7x - 4 = 21 ?
Answer: x=4.2
Step-by-step explanation:add 4 to both side .you have 7x=25.Now divide which gives u 4.2 .