Sam decides to download some new music. She downloaded 3 albums and 10
singles, and her total was $61. The next day she purchased more music from the
same retailer and downloaded 6 more albums and 8 singles for a total of $74.
Assuming that all albums and singles are the same price, how much did she spend on
each album and each single? Write a system of equations to represent this
situation. Then solve for the solution using the elimination method.
Answer:
An album costs $7 while a single cost $4
Step-by-step explanation:
Let the amount spent on singles be $x while the amount spent on albums be $y
First day, she downloaded 3 albums and 10 singles that cost $61
Hence;
3y + 10x = 61 ••••••••(ii)
Second day, she downloaded 6 albums and 8 singles for $74
8x + 6y = 74 ••••••••(ii)
We now want to use elimination method to solve both equations
Multiply equation i by 2 and ii by i
20x + 6y = 122
8x + 6y = 74
Subtract ii from i now
12x = 48
x = 48/12
x = 4
Recall;
3y + 10x = 61
substitute for x
3y + 10(4) = 61
3y + 40 = 61
3y = 61-40
3y = 21
y = 21/3
y = 7
An album costs $7 while a single cost $4
What is the distance between
(2,3) (8,9)
Answer:
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM!!!!!!!!!!
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer: x = 30
Step-by-step explanation:
Since AB and CD are straight lines, vertical angles formed by them are congruent. Angle DOB is equal to angle AOC which is equal to 2x. Since you know that a straight angle is equal to 180 degrees, you can say :
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x=30
Hope this helped :)
Which word describes 5 in the number sentence shown?
2 = 18
53
A Term
B Variable
Equation
D) Coefficient
Three out of five students in Mrs. Bishop's class play chess. What percentage of students in her class play
chess?
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
Find f'(a). f(x)=[tex]\sqrt{2-2x}[/tex] using (f(a+h)-f(a))/h
Answer:
clculator soup
Step-by-step explanation:
Angle R measures 47 degrees if the angle is rotated 180 degrees around the origin what is the angle of R?
Given parameters:
Measure of Angle R = 47°
Operation on the angle; rotated through 180°
Unknown:
what is angle R now= ?
Solution:
Angle R was originally an acute angle which was 47°;
And an additional 180° rotation will produce;
New Angle R = 47 + 180 = 227°
The new dimension of the angle is 227°
help me plz thx alot
It is 180 degrees- hope this helps!
n is a positive integer. (i) Explain why n(n - 1) must be an even number.
Answer:
Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number
Step-by-step explanation:
–25y – 35
plz tell me step by step
2800 people attended a football game. 1260 of the people attending supported the home team, while 1540 supported the visiting team. What percentage of people attending supported the home team?
Answer:
45% of people attending supported the home team
The length of a car is 15 2/5 meters. What is the length of 7 cars?
Answer:
107 4/5. This is because 2/5 is 0.4 and 15 times 7 is 105.
2. How many batches can you make
with 15 cups of flour and 6
teaspoons of vanilla? Indicate the
additional batches by adding more
ingredients to your diagram.
Answer:
3 batches
Step-by-step explanation:
-10 |h+5| -3= -83
what is the answer to this the topic is absolute value.
Answer:
the absolute value is 3,-13
9999999999999999999999999999999999999+888888888888888888888888888888888888
Answer:
a lot
Step-by-step explanation:
Select the correct answer.
Which property of equality was used to solve this equation?
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
A. addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
The addition property of equality was used to solve this equation. option A is correct.
A solution is given we have to determine the solution contains which property of equality.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
We can see, in step 2 5 is added to both sides of an equality, which implies the property of additions.
Thus, the addition property of equality was used to solve this equation. option A is correct.
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2x2+ 5x -4 = 0
• _Value of the Discriminant:
• Number of Solutions:
• Number of x-intercepts:
• Type of Solutions:
Answer:
Step-by-step explanation:
value of discriminant:
[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]
As the value of discriminant is larger than zero, so there are 2 distinct solutions.
2 solutions also mean there are 2 x-intercepts.
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3. You bake 12 oatmeal cookies. How many chocolate chip cookies do you bake
Answer:
4:3
8:6
12:9
you will bake 9 chocolate chip cookies.
I will bake 16 chocolate chip cookies for every 12 oatmeal cookies I bake.
What is a ratio?A ratio is a comparison of two or more similar quantities in simplest form.
a/b can be written as a : b.
Given, The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3, which is 4/3, and assuming for 12 oatmeal cookies I bake x chocolate chip cookies.
∴ 4/3 = 12/x.
x = 12×4/3.
x = 4×4.
x = 16.
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The value of 30 - (2 - 4) ÷ (-2) is _____.
-16
31
-14
29
Answer:
29.
Step-by-step explanation:
one bands streaming video
What's the question?
I don't understand what you're asking.
Answer:
i agree with them what is this and what are you asking?
Step-by-step explanation:
Which one of the following equations is equivalent to 3x-12 = -9?
A 3 - 5 = -6
B 70 - 3=4
2x = 4
D 2+3 = 2 - 1
the answer choices don't make sense but I can help u with solving the equation it's x = 1
3x-12=-9 , minus 12 on both sides3x = 3 , divide 3 on both sides x = 1now that u know this go through your answer choices and solve their equation and see which one produces x = 1 and that'll be the answer!!
ALDS championship hats are sold in boxes of 18. If the Tampa Bay Rays need 168 hats for team members and staff, how many boxes of hats would they need to order? Explain your
reasoning
Answer: 3024
Step-by-step explanation:
mutiply 18x 168
8+-2w>4
I dont know this i gotta solve fore w.
Answer:
w < 2
Step-by-step explanation:
Subtract 8 from both sides.
-2w > -4
Divide both sides by two. WHEN YOU DIVIDE BY A NEGATIVE, the sign FLIPS!
w < 2
There ya go! Please mark me as Brainliest; I need it to move on to the next level. =D
What happens in the falling action of Ares god of war?
Answer:
In the Ancient World, the most powerful forces that shaped human destiny were personified by polytheistic religions in the form of Gods. In this way, the ancients believed that they could influence impersonal forces and powers. One of these was war. In the past, conflict was a constant fact of everyday life, and peace was rare. This is what made the Greek God of War, Ares, so influential in mythology and religion.
The origin of the myth of Ares
Ares was the son of Zeus and Hera, was regarded as one of the Twelve Olympians, and was one of the major deities of the Greek world. The etymology of the name Ares means curse or ruin. Unlike many other religions, such as Roman mythology, the Greeks did not worship war. They were very ambivalent about the God who personified for them the power and bravery needed for victory in war. For the Greeks, he represented the worse in war and conflict
Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
sin(–60°)
cos(–60°)
cos(60°)
sin(60°)
Answer:
A. sin(-60°)
Step-by-step explanation:
test on edge
Answer of given expression is sin(-60°)
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given expression,
sin(20°)cos(80°) – cos(20°)sin(80°)
∵ sin(A-B) = sinA.cosB – cosA.sinB
∴ sin(20°-80°)
So, sin(-60°)
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22. Part-Time Job
You work at a grocery store part-time. You estimate that you spend three-fifths of your time stocking shelves. You work 20 hours each week. How many hours of your work week do you spend stocking shelves?
Answer: 12
Step-by-step explanation:
You spend 20 hours working at a grocery store each week. You spend 3/5 of that time stocking shelves. You need to find out what 3/5 of 20 is.
Step 1: Turn 20 into a fraction
20 = 20/1
Step 2: Multiply
3/5 x 20/1 = 60/5
Step 3: Simplify
60/5 = 12
Identify the initial value and rate of change for the graph shown. (4 points)
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Group of answer choices
Initial value: 1, rate of change 5 over 3.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 5 over 3., rate of change: 0
Answer:
a
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
y=mx+b
point (5,4)
x=5
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
Please help
8 square root 5 minus square root 45
Answer:
[tex]5 \sqrt{5 \: } is \: \: the \: \: answer \: \: of \: \: this \: \: question[/tex]
how would you write 8.235 E14 in standard form
Answer:
what????
Step-by-step explanation:
Angle pair equations!! 10 points :)
Answer:
78°
Step-by-step explanation:
(I'm assuming that segment AB is a straight line {180 degrees})
1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.
2. if you solve that, you'll get x=25.
3. plug 25 (x) into 3x+3 -> 3(25)+3
4. 3(25)+3=78
5. answer: 78°