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
1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it
Answer:
See Explanation
Step-by-step explanation:
1.
Given
[tex]y = 6x - 11[/tex]
[tex]-2x - 3y = -7[/tex]
Solve for x and y
In the first equation, we have: [tex]y = 6x - 11[/tex]
Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second
[tex]-2x - 3y = -7[/tex]
[tex]-2x - 3(6x - 11) = -7[/tex]
[tex]-2x - 18x + 33 = -7[/tex]
[tex]-20x+ 33 = -7[/tex]
[tex]-20x= -7-33[/tex]
[tex]-20x= -40[/tex]
Divide through by -1
[tex]20x = 40[/tex]
[tex]x = 40/20[/tex]
[tex]x = 2[/tex]
Recall that:
[tex]y = 6x - 11[/tex]
[tex]y = 6 * 2 - 11[/tex]
[tex]y = 1[/tex]
2,
Given
[tex]-3x - 3y = 3[/tex]
[tex]y = -5x - 17[/tex]
In the second equation, we have: [tex]y = -5x - 17[/tex]
Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation
[tex]-3x - 3y = 3[/tex]
[tex]-3x - 3(-5x - 17) = 3[/tex]
[tex]-3x + 15x + 51 = 3[/tex]
[tex]12x + 51 = 3[/tex]
[tex]12x=3 - 51[/tex]
[tex]12x=-48[/tex]
[tex]x = -48/12[/tex]
[tex]x = -4[/tex]
Recall that: [tex]y = -5x - 17[/tex]
[tex]y = -5 * -4 - 17[/tex]
[tex]y = -3[/tex]
3. Given
[tex]-4x + y = 6[/tex]
[tex]-5x - y = 21[/tex]
Add both equations to eliminate y
[tex]-4x - 5x + y - y = 6 + 21[/tex]
[tex]-9x= 27[/tex]
Solve for x
[tex]x = 27/-9[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]
[tex]-4 * -3 + y = 6[/tex]
[tex]12 + y = 6[/tex]
[tex]y = 6 - 12[/tex]
[tex]y = -6[/tex]
4. Given
[tex]-7x - 2y = -13[/tex]
[tex]x - 2y = 11[/tex]
Make x the subject in the second equation
[tex]x - 2y = 11[/tex]
[tex]x = 11 + 2y[/tex]
Substitute 11 + 2y for x in the first equation
[tex]-7x - 2y = -13[/tex]
[tex]-7 (11 + 2y) - 2y = -13[/tex]
[tex]-77 -14y - 2y = -13[/tex]
[tex]-77 -16y = -13[/tex]
[tex]-16y = -13 + 77[/tex]
[tex]-16y = 64[/tex]
[tex]y = 64/-16[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 11 + 2y[/tex]
[tex]x = 11 + 2 * -4[/tex]
[tex]x = 11 -8[/tex]
[tex]x = 3[/tex]
5. Given
[tex]-2x + 6y = 6[/tex]
[tex]-7x + 8y = -5[/tex]
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
[tex]7(-2x + 6y = 6)[/tex]
[tex]-14x + 42y =42[/tex]
The second
[tex]-2(-7x + 8y = -5)[/tex]
[tex]14x - 16y = 10[/tex]
Add the resulting equations
[tex]-14x + 42y =42[/tex]
[tex]14x - 16y = 10[/tex]
------------------------------
[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]
[tex]42y - 16y = 42 + 10[/tex]
[tex]26y = 52[/tex]
Solve for y
[tex]y = 52/26[/tex]
[tex]y = 2[/tex]
Substitute 2 for y in [tex]-2x + 6y = 6[/tex]
[tex]-2x + 6 * 2 = 6[/tex]
[tex]-2x + 12 = 6[/tex]
[tex]-2x = 6 -12[/tex]
[tex]-2x = -6[/tex]
Solve for x
[tex]x = -6/-2[/tex]
[tex]x = 3[/tex]
Hello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?
Answer:
the answer is 44 and evaluate is just a fancy word for solve i believe
Step-by-step explanation:
What is a rational number and how do you know?
i am about to SCREAM!!! i need help
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank.
Word Bank
sum difference product quotient
equal variable solution inverse
add subtract multiply divide
more than less than greater than inequality
greater than or equal to less than or equal to equation negative
x + 4 < 1
Answer:
x<5
Step-by-step explanation:
x+4<1
x<+1-4(in this situation +1-4 is kinda like saying -4+1 so you add them)
{x<5}
(thanks and sorry and welcome)
Answer:
For the inequality statement, x ≤ -3, multiply each side of the inequality by the reciprocal of . The solution is x ≤ -12.
Step-by-step explanation:
[tex]\frac{4}{1}[/tex] · [tex]\frac{1}{4}[/tex]x ≤ -3 · [tex]\frac{4}{1}[/tex]
The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h
Answer:
6x^3+39x^2+59x
Step-by-step explanation:
graph the following rule y<_ 2/3x - 1
Look at the graph I added here
If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?
Answer:
It could by any 2 numbers that satisfy a^2+b^2= 20.
One example would be 4 and 2:
4^2+2^2=16+4=20
I hope this helped.
b) Find the value of
4(a – 3b) when a = -8 and b = 1/3
Answer:
-36
Step-by-step explanation:
4(-8-3*(1/3)) = 4(-8-1) = -36
Enter the fraction as a decimal.
1
8
The fraction as a decimal is
Answer: 0.125
Step-by-step explanation:
Answer:
0.125
1/8
= 0.125
= 12.5%
could someone please answer these 3 questions?? ty :))
Answer:
1. -12 2. you get - 3. -6
Step-by-step explanation:
Well hope that makes sense. Please heart.
12 plus -12 is 0. -3 plus 2 is -1 or -. -4 plus -2 is -6.
You add -12 to 12 to make it zero.
If you have - - - and add + + you get -1.
If you have - - - - and add - - you get -6.
A refrigerator costs 525.50. What is the TOTAL COST of the refrigerator (including 6% tax)
Answer:
557.03
Step-by-step explanation:
525.50 + 525.50(.06)
525.50 + 31.53
557.03
Alternative method:
525.50(1.06)
557.03
solve the equation. -3x^2=12x+12
a.) no real solution
b.) x= -2
c.) x= 2
d.) x= -2 and x=2
hey can anyone pls answer dis math question rq!
Answer:
9 inchesStep-by-step explanation:
Original size = 6 ftScale factor = 1/8Clone = original * scale factor
Clone size
6 ft*1/8 = 3/4 ftConverted to inches
1 ft = 12 in3/4 ft = 3/4 * 12 in = 9 inSOMEONE PLEASE HELP I NEED THE SOLUTION TO ALL OF THESEE PLEASE HELP!!!!
Answer:
The answer is below
Step-by-step explanation:
Let's work it out slowly
A)
$18.79 + $2.11 - $1.92 + $17.28
- 18.79 + 2.11 + 17.28 = 38.18
- 38.18 - 1.92 = 36.26
Ans = $36.26
B)
$7.45 + $24.45 + $74.17 + $76.52
- 7.45 + 24.45 = 31.9
- 74.17 + 76.52 = 150.69
- 150.69 + 31.9 = 182.59
Ans = $182.59
C) $98.45 - $10.63 + $2.82 - $20.26
- 98.45 - 10.63 - 20.26 = 67.56
- 67.56 + 2.82 = 70.38
Ans = $70.38
Hope you understand
:-)
. You have 17 birthday gifts! 9 came from your
family, the rest came from your friends. How many
gifts did your friends give you?
What is the first step you would take solving for k in 4k + 12 = -28
Answer:
The first step I would take is subtract 12 from both sides.
Step-by-step explanation:
i hope this helps!
Solve v= f(c+K) for K
Answer:
K = v /f − c
Step-by-step explanation:
The distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Venus from the Sun? A 0.4 • 10^8. B 0.4 •10^9. C 1.4 • 10^9. D 1.4 • 10^10
the distance is s mil lion
Answer:
million
Step-by-step explanation:
Can someone explain this to me!!! Will give the brainliest!!!!
Answer:
88 degrees
Step-by-step explanation:
First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).
Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.
We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.
What is 12 × 24??????????????????
Answer: 288
Step-by-step explanation:
um what
Answer:
12 × 24 = 288.
Step-by-step explanation:
hope this helps :)
For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?
(A) 250 yards
(B) 300 yards
(C) 350 yards
(D) 400 yards
(E) 450 yards
Answer:
(C) 350 yards
Step-by-step explanation:
From available information
Mean = 790
1 running back = 1637 yards
Standard deviation above mean = 2.42
Using formula
z =( x - mean)/sd
2.42 = (1637-790)/sd
2.42 = 847/sd
We cross multiply
2.42sd = 847
Divide through by 2.42
Sd = 847/2.42
Sd = standard deviation = 350
So our answer is 350 and therefore option c.
A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?
Answer:
4 Hours.
Step-by-step explanation:
If the run 11 miles in a hour, then do 11 times as many hours.
11 x 4 = 44.
Which of the following gives an equation of a line that passes through the point (3.-) and is
parallel to the line that passes through the origin and point (-2, -12)?
Answer:
A goes through the points
Step-by-step explanation:
True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False
Answer:
yeah it's B. false :)
Step-by-step explanation:
and to answer the other answer, it's just to help other people if the question isn't already on brainly
can someone please help me with this question
Answer: 140 ft^2
Step-by-step explanation:
Triangle:
A = 1/2bh
A = 1/2(6 • 4)
A = 1/2(24)
A = 12
Square:
A = bh
A = 16 • 8
A = 128
Add them
128 + 12 = 140 ft^2
Answer:
7.21 ft
Step-by-step explanation:I don't know if i did it right but this is what I got.
Jamie's car gets 33.5 miles per gallon. How many miles can he travel on 16 gallons?
Answer:
536 Gallons
Step-by-step explanation:
If you multiply 33.5 times 16 you will get your answer
Please put brainliest.
Solve for u in terms of s, t, v, and w.
vt= -swu
u=
The value of the expression given in terms of u is -vt / sw
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression, vt = -swu, we are asked to find the expression in terms of u,
vt = -swu
u = -vt / sw
Hence, the value of the expression given in terms of u is -vt / sw
Learn more about expression, click;
https://brainly.com/question/14083225
#SPJ5
Solve for x it’s my homework need help.
Answer: 5.176 units
Step-by-step explanation:
x/20 = sin(15)
x = 20*sin(15) = 5.176 units
Pleaseeeeeee helpppppppppb
Translate the sentence into an inequality.
The sum of a number times 10 and 16 is at most 28.
Use the variable c for the unknown number.
Given:
The sum of a number times 10 and 16 is at most 28.
To find:
The inequality for the given statement.
Solution:
Let the unknown number be c.
A number times 10 = 10c
Sum of a number times 10 and 16 = 10c + 16
At most 28 = Number should less than or equal to 28.
The inequality for given sentence is
[tex]10c+16\leq 28[/tex]
Therefore, the required inequality is [tex]10c+16\leq 28[/tex].