Tyson got a $15 gift card to use on song and movie downloads to his tablet. Each movie, m, costs $5 and each song, s, costs $1. Tyson's mom said he must use fewer than 10 downloads and that his total cost could not exceed the $15 amount on the gift card. Which of the following graphs shows the solution set of the system of inequalities?
Answers
Answer:
c
Step-by-step explanation:
bla bla bla
The solution to the inequality m + s = 10 and 5 m + 1s = 15 is shown in the graph attached below, and as it can be seen the coordinated of intersections are (8.75, 1.25), so option C is correct.
What is inequality?Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal
Given:
Total balance on card = $15,
The cost of each movie = $5,
The cost of each song = $1
The number of downloads = 10,
Write the equation as shown below,
m + s = 10 and 5 m + 1s = 15
Here m is the number of movies and s is the number of songs,
Solve the equation by elimination method,
m = 5/4 = 1.25 and s = 35/4 = 8.75
As you can see, the value of the intersection of inequalities is (8.75, 1.25),
the graph is attached below.
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Related Questions
Please help me with this
Answers
Step-by-step explanation:
3/4 x 11/11 = 44
7/12 x 5/5 = 35/60
18/72 = 6/6 x 3/12
Topic: Fractions
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3x-9=x-8
what is X??
Answers
Answer:
x=½
Step-by-step explanation:
3x-9=x-8(Group like terms)
3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).
2x=1(Divide both sides by 2)
x=½
Answer:
0.5
Step-by-step explanation:
3x-9=x-8
3x=x-8+9
3x=x+1
3x-x=+1
2x=+1
x=1/2
x=0.5
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answers
Answer:
they made 3 batchs
Step-by-step explanation:
Asapppp, plssss help meee :(
Answers
Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?
Answers
Answer:
622.27
Step-by-step explanation:
- $87.45 + (- $24.76) + (-17.29) = $-129.5
$143.87 + $348.90 = $492.77
492.77 - (-129.5) = 622.27
one number is nine more than another number, if the sum of the number is 65, find both numbers
Answers
Answer:
28 and 37
Step-by-step explanation:
Answer:
28 and 37
Step-by-step explanation:
This is very simple actually!
First subtract the 9:
65 - 9 = 56
Then divide by 2:
56 ÷ 2 = 28
28 is one of your answers. If we want to find the other one, then add back 9
28 + 9 = 37
That's it!
Hope this helped :)
Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
Answers
Answer:
c is the answer
Step-by-step explanation:
What method would i use to solve this?
Answers
b. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
=f
Is there a proportional relationship
Answers
Answer:
No
Step-by-step explanation:
Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).
Here,
In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).
Mathematically, this can be represented as:
f = 1.08p
The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.
This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.
Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.
This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.
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Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees
Answers
Answer:
90°Step-by-step explanation:
Given the trigonometry equation;
[tex]2sin^2 x -sinx -1 =0[/tex]
Step 1; Let p = sin(x) to have;
[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]
Step 2: factorize the resulting quadratic equation:
[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]
Step 3: Find x:
when p = 1
sin(x) = 1
[tex]x = sin^{-1}1\\x = 90^0[/tex]
also when p -1/2
sin (x) = -1/2
[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]
[tex]x = 180-30\\x = 150^0[/tex]
Since 150° is not within the range 0<x<90, then the only solution is 90°
Four lines are drawn on a coordinate plane to form trapezoid WXYZ.
A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3).
Which statements are true about the lines? Select three options.
Answers
Answer:
A,C,D
Step-by-step explanation:
Answer:
A C D
Step-by-step explination
it just is
Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.
Answers
Just got a 100 point question skim answered HA
Answers
Answer:
THis is not a question
Step-by-step explanation:
write the missing decimal so the each pair adds to 1
Answers
Answer:
top one is 0.6 bottom one is 0.1
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth
Answers
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We are given that 1 light year ≈ 5.9 x 10¹² miles
so: the Coefficients for the problem are mathematically given a
Coefficients =2.4 x 5.9
Coefficients = 14.16
For Exponents;
Exponents= 10² x 10¹² = 10⁽²⁺¹²⁾
Exponents =10¹⁴
In conclusion, we put them together once again to produce a scientific notation;
14.16 x 10¹⁴
1.416 x 10¹⁵ miles
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
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help me thanks . please
Answers
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answers
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
please help i am desperate.
Answers
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answers
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
How do I find the missing sides in the triangle?
Answers
Answer:
x=14 y=10
Step-by-step explanation:
At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?
75 people
80 people
65 people
70 people
Answers
Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?
Answers
Answer:
The answer is 125%
Step-by-step explanation:
Fraction calculator
help me please i have 2 more after this
Answers
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
I-pod Touch for $229.99. The tax rate is 4%. What is the tox
Answers
Answer:
the tax is $9.20
What is 3÷4? Draw a diagram that explains how you know.
Answers
Answer:
3 divided by 4 is 0.75
Step-by-step explanation:
Answer:
Answer: 3 divided by 4 is 0.75 .
Step-by-step explanation:
Question in picture pls hurry im timed
Answers
Answer:
256
Step-by-step explanation:
4*4*4*4=256
Hope this helps!!
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answers
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
help ill give brainlist
Answers
Answer:
I think it's -0.5 so F
Step-by-step explanation:
Please help! I will give brainlist, if I can
Answers
your awnser is C
Step-by-step explanation:
cause you'll need to multiply 1.05 × 15 then divide by 100
You move right seven units. You end at 2,2. Where did you start?
Answers
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation: