Answer: Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Step-by-step explanation:
Let x= cost per pair of jeans
y = Cost per pair of shorts
z= cost per shirt.
For you, total cost = x+4y+2z= 84
For your friend, total cost = 2x+y+3z=76
For cousin, total cost = x+2y+z= 52
Required system:
[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]
from (i), [tex]x=84-4y-2z[/tex] (*)
put this in (ii) and (iii) we get
[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]
from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]
[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]
[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]
[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]
[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]
[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]
[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]
Hence, x= 20, y= 12 , z=8
So, Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
YOOO HELP‼️
What is the slope of the line represented by the equation -52 + 2y = 10?
Answer:
5/2
Step-by-step explanation:
Use PEMDAS to solve the equation in y=mx+b form.
Add 5x on each side of the = sign (which cancels on left side, and add on right)
Your equation should look like this: 2y=5x+10
Next, you're going to divide the whole equation by 2, to get y by itself
which equals y=5/2x+10
M=slope
B= y-intercept
which statement about the following system of inequalities is true? y-2x<2.5
What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
A) -1/3
B)-2/3
C)1/3
D)2/3
PLEASE HELP NOW!!!!
WILL MARK BRAINLIEST AND ALL THAT JAZZ!!
The rule for significant digits in multiplication is, the answer should reflect the number in the problem with the
most significant digits
b. fewest significant digits
a. Most significant digits
Answer:
b
Step-by-step explanation:
BCCCCCC
are two parallelograms with the same side lengths
always congruent?
Answer:
Step-by-step explanation:
most of the time yes
simplifying radicals pt.2 please help ASAP and explain if possible
Answer: 5√10.
Step-by-step explanation:
250 is split into its prime factors as 2 * 5 * 5 * 5 which implies √250 = √(2 * 5 * 5 * 5). Now we can simplify this further by pulling out the number which is multiplied to itself. This gives √250 = 5 * √(2 * 5) = 5√10. Therefore the square root of 250 is √250 = 5√10.
what is the chang in temperture from -24 to 15?
Answer:
38 degree difference
Step-by-step explanation:
24 + 15 =39
But they share the 0 degree spot so minus one.
39-1=38
Write the quotient as a power:
Answer
x^(2) x to the second power
Step-by-step explanation:
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
What is 427 thousand in scientific notation
Answer:
4.27x10^2
Step-by-step explanation:
Is 7/16 of a mile repeating or terminating
Answer:
Terminating.
Step-by-step explanation:
.4375 miles is terminating.
Answer:
terminating
Step-by-step explanation:
it's 0.3475
5m (2n - 7) in equivalent form re write this question i only have 2 minutes plz help
Answer:
10mn-35m is the answer
which line has a constant of proportionality between y and x of 5
Answer:
tp
Step-by-step explanation:
The constant of proportionality between y and x of 5 for line A.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The lines in the graph are passing through origin.
It implies that the y-intercept for all the lines is zero.
The slope-intercept equation of the line can be written as,
y = mx + c
Here c is the y-intercept.
When c = 0, the equation becomes as y = mx.
It implies that the for lines passing through origin, the slope of the line becomes the proportionality constant.
Now, from the given graph the line A is shown to be passing through (5, 1).
Then, the slope is given as,
m = (5 - 0)/(1 - 0) = 5
Hence, the line A in the given graph has constant of proportionality as 5.
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True or False: In a ratio table, the ratios are equivalent.
Answer: True
Step-by-step explanation:
ASAP PLEASE What is the slope of the blue and green line ( both parallel)
Answer:
slope = - 2
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 ) = (- 8, 4) and (x₂, y₂ ) = (- 1, - 10) ← 2 points on the green line
m = [tex]\frac{-10-4}{-1+8}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2
Repeat with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on the blue line
m = [tex]\frac{-6-0}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
Since the slopes are equal then the lines are parallel
Katie and Mina both commute to work. Katie's commute on the train takes 10 minutes more than one half as many minutes as Mina's commute by car. It takes Katie 30 minutes to get to work. Write an equation to determine how many minutes it takes Mina to get to work. NEED HELP PLZZ :)
A 30 = one halfx + 10
B 30 = one halfx − 10
C 30 = 2x − 10
D 30 = 2x + 10
Answer:
A) 30 = (1/2)x + 10
Step-by-step explanation:
50/63 subtract 18/63
Answer:
32/63
Step-by-step explanation:
i used a calculator
HELP PLS WORTH 50POINTS
If you have an even integer on a number line which we will call "x", what could you call the next consecutive number? What could you call the next consecutive even integer on the number line?
Answer:I NEED THE ANSWER TO
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
Answer QUICK!! I’ll give tahnks and points
Which of the following demonstrates the distributive property?
Answer:
You dont have the equation
>:(
Step-by-step explanation:
what’s 40/44 in lowest terms
Answer:10/11
Step-by-step explanation:i think you mean in simpilest terms so here is that! hope this helped:)
I need help please list all the available factors. PLEASE
Jessica has 7/8 of a pound of candy.She are 1/4 of it at the movies. How much does she have left over
A. 5/8
B. 4/8
C. 3/4
D. 1/2
Answer: A. 5/8
1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8
✨Answer:✨
A. 5/8
Jessica has 5/8 pounds of candy left
✨Step-by-step explanation:✨
7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?
✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨
7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)
is {(9,- 15), (0, 0), (4,0), {9, 2)} a function
Answer:
no im pretty sure they are not functions
Correct me if im wrong also learning
ANSWER PLZZ!!
Your neighbor Sally wants to plant flowers around the edge of her circular above ground pool. If the diameter of Sally’s Pool is 18ft, how many flowers will sally need to plant to surround the pool? Round your answer to the nearest hundredth
Answer:
This answer involves finding the circumference of the circle which is basically the length of the entire perimeter of the garden
Step-by-step explanation:
Circumference = 2 * pi * radius
2 * pi * 9 ft = 56 ft
So it depends how many flowers she wants to plant per each foot. If she wants to plant 1 flower per foot the answer is 56 flowers.
e. How many feet are there in 14.0 yards? (3 ft = 1 yd)
Answer:
42
Step-by-step explanation:
i smart
Answer:
Step-by-step explanation:
1 yard = 3 ft
To find 14 yards, just multiply 14 by 3
14 yards = 14 x 3 = 42 ft
What’s is 93875748282858828819482 - 3826283 have fun
Answer:
9.3875748e+22
Step-by-step explanation:
(MC 02.03)
What set of reflections and rotations would carry rectangle ABCD onto itself?
Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1.
(4 points)
Group of answer choices
Rotate 180°, reflect over the x-axis, reflect over the line y=x
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line
Answer:1st option
Step-by-step explanation:
what is a minimum number of points required to mark all maximum, minimum and zeros in a period of a sinusoid?
Answer:5 points :)
Step-by-step explanation:= −1) and 3 zeros (sin(0) = 0,sin( ) = 0, sin(2 ) = 0). Answer: 5 points. Hope this helps!
A small lizard 5/8 inch long.a larger lizard is 5 1/5 times as long.how long is the larger lizard??
Answer:
3.25 inches
Step-by-step explanation:
5/8 = .625
5 1/5 = 5.2
5.2 x .625 = 3.25, or 3 1/4 in
what is the greatest three-digit multiple of 33 that can be written using three different digits?
Please help me!!!
Answer:
957Step-by-step explanation:
The largest three-digit multiple of 33 * 30 is 990, which uses only two different digits. Now we work backwards: Subtracting 33 once gives 990-33=957, which has three different digits. Therefore, our answer is 957
957 is the greatest three-digit number which is multiplied by 33.
What are digits?A numerical digit is a single sign that can be used alone or in combination to denote a number in a positional numeral system.
A digit is a component of a set that, when put together, forms a numerical system.
Examples of digits include 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
If we multiply 33 by 31
It gives 1023 which is a four-digit number.
Now trying to multiply less than 31
By 30
33 × 30 = 990 but here two digits are the same.
By 29
33 × 29 = 957 and all three are different.
Hence "957 is the greatest three-digit number which is multiplied by 33".
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