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
Greta uses 8 ounces of pasta to make 8/9 of a serving of pasta. How many ounces of pasta are there per serving?
Answer:
I think you need to multiply to get the answer, since there's a keyword that it's "per"
Step-by-step explanation:
Divide and then Multiply
8/9 = 0,8
0,8 x 8 = 6,4
(I think that's the answer, hope I helped you)
What is the distance between -3 and 12?
Answer:
-15
Step-by-step explanation:
The required solution is 15.
It is required to find the solution.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
By the distance formula we get,
Distance between -3 and 12 is
=12-(-3)
=15
Therefore, the required solution is 15.
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3y-9x=21
standard to slope intercept simplified
Answer:
y=3x+7 I think
hope this helps!
Answer:
[tex]y=3x+7[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]3y=9x+21[/tex]
[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]
[tex]y=3x+7[/tex]
Select the correct answer.
How many solutions for x does the following equation have ?
2/3(6x + 6 ) = 4x + 4
Answer:
X has infinite solutions because no matter what value you plug in for x, both sides will always be equal.
Step-by-step explanation:
Question 1 please. Please help
Answer:
74.22
Step-by-step explanation:
52.39+21.83=74.22
What is a solution to the inequality below?
-3x + 5 > 14
Answer:
x < -3
Step-by-step explanation:
-3x + 5 > 14
Subtract both sides by 5
-3x > 9
Divide both sides by -3 to get x alone.
x < -3
The sign flips because you are dividing by a negative number. The sign flips when you divide or multiply by a negative number.
143.596 rounded to the nearest hundredth
Answer:
143.6
Step-by-step explanation: its 143.6 because 9 rounded to the nearest number is 10 and that bumped the 5 to a six
The table represents a linear function. What is the slope of the function? O -10 16 O5 O5 O10 24
Answer: 5
Step-by-step explanation:
I got it right on the test.
The slope of the function is 5.
The correct option is C.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We can take two points from the table as (-4, -16) and (-2, -6).
So, slope of the function is
= (-6 - (-16))/ (-2 - (-4))
= (-6 + 16)/ (-2 +4)
= 10 /2
= 5
Thus, the required slope is 5.
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8 in
6 in.
5 in.
Pls help
Answer:
this is volume, right?
Step-by-step explanation:
i have no idea though hahahahahah
frjghherhnetjhnjkg fgfhgheriugheriughierg
renjgregnjergjerbgg rehgbjregbjergjerbgj
I need help with this please
Answer:B am pretty sure
Step-by-step explanation:
(5x - 5)
(6y - 4)
(4x + 10)
Find the value of the variables in the figure.
x =
y =
Answer:
what are they equal to I can solve if that info is not given
percent decrease 95 to 15
Answer:
84.2105263 % decrease
Step-by-step explanation:
Take the original and subtract the new
95-15 = 80
Divide by the original
80/95
.842105263
Change to percent form
84.2105263 % decrease
The sum of twice n and 5
Answer:
it is either 2^n+5 or n²+5
Step-by-step explanation:
I'm not one hundred percent sure
En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada dos semanas, hoy se juntó ambos, ¿en cuántos días se volverán a juntar?
This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?
Answer / Respuesta:
Spanish: La respuesta sería 56 días más.
English: The answer would be 56 more days.
Step-by-step explanation: / Explicación paso a paso:
English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.
Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.
12
Х
18
x=
TO
This is 7th grade math
Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.
Answer:
2^4
2 * 2 * 2 * 2
Step-by-step explanation:
In the question above :
Write an exponential expression:
Base = number between 0 and 10
Exponent = number different from the base between 0 and 10
Let base = 2
Let exponent = 4
Hence, exponential expression will be
Base^exponent
2^4 (standard form)
Expanded form:
2 * 2 * 2 * 2 (multiply 2 in 4 places)
c - 2.3 = - 5.1
C = ???
Multi Step Problem (Show work!!)
Y + 7 = -2
Answer:
y = -9
Step-by-step explanation:
Step 1: Write equation
y + 7 = -2
Step 2: Solve for y
Subtract 7 on both sides: y = -9Step 3: Check
Plug in y to verify it's a solution.
Substitute: -9 + 7 = -2Add: -2 = -2please help me. Calculus AB. WILL GIVE BRAINLIEST ANSWER
Answer:
E. -4
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent lineDerivative Notation
Step-by-step explanation:
Step 1: Define
Identify
Given a graph of g(x) and asked to find g'(0).
Step 2: Find
We approximate g'(0) by finding the tangent line at x = 0.
Identifying points (1, -4) and (-1, 4), we can find the tangent line:
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - -4}{-1 - 1}[/tex][Slope] Subtract: [tex]\displaystyle m = \frac{8}{-2}[/tex][Slope] Divide: [tex]\displaystyle m = -4[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.
Answer:
A
Step-by-step explanation:
Originally, Mei pays $24 for 12 issues.
Therefore, the cost per issue is:
[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]
With the coupon, Mei pays the same amount of $24 but for 15 issues.
So, the cost per issue now is:
[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]
Therefore, the coupon lowered the price of the issue by $0.40.
Our answer is A.
Answer: The coupon lowered the cost per issue by $0.40.
Original price of issue: $2
24 ÷ 12 = 2
Mei added 3 more issues, but she still pays $24.
The answer is A.
Hope this helps you!
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?
Answer:
The height of triangle is 24 cm.
The temperature in Coldspot is -7o F and increasing 2.5o per hour. The temperature in Frostberg is 19 degrees F and decreasing 4 degrees per hour.
a. How long will it be until the temperatures are the same?
b. What will the temperature be then?
Answer:
It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.
Step-by-step explanation:
Coldspot = -7 + 2.5x
Frostberg = 19 - 4x
First, we are going to input our values into the variable in a table.
Coldspot Frostberg
1 -7 + 2.5(1) = -4.5 19 - 4(1) = 15
2 -7 + 2.5(2) = -2 19 - 4(2) = 11
3 -7 + 2.5(3) = 0.5 19 - 4(3) = 7
4 -7 + 2.5(4) = 3 19 - 4(4) = 3
It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
4 hours
Step-by-step explanation:
Jaime’s older brother and his three friends want to split the cost of lunch. They also want to leave a 15%–20% tip. How much should each person pay?
Answer:
First you have to split the cost of the meal and percentage so
$78.00 divided by 4 that's $19.50 each then after the 20% each would pay $23.40
Each person pay $23.4.
Given, from the fig the total cost of lunch without tip is $78.
Now, Jaime’s older brother and his three friends want to split the cost of lunch between them. So there is total 4 person.
Now each person have to pay [tex]\frac{78}{4} = $ 19.5[/tex] dollars.
Further they decided to pay tip say 20% so, the amount of tip is 20% of $78.
On calculating amount of tip [tex]=\frac{20}{100} \times 78=15.6[/tex].
Tip is divided among them so per person has to pay tip [tex]=\frac{15.6}{4} =3.9[/tex] dollars.
So, the total amount each person has to pay [tex]=19.5+3.9=23.4[/tex] dollars.
Hence each person pay $23.4.
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Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric , plus 20 % extra . How much fabric did Jessica buy ?
Answer:
Jessica bought 2.25 yards more material than Derek.
Step-by-step explanation:
Yesterday, Kate gave exactly fourteen haircuts
and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8
Answer:
D) 8
Step-by-step explanation:
8 x 2.5 = 20
and the rest is adult haircuts
6 x 5 = 30
Answer:
D) 8 Children’s Haircuts
Step-by-step explanation:
Let a represent the amount of adult haircuts and c represent the amount of child haircuts.
We know that she gave exactly 14 haircuts. So:
[tex]a+c=14[/tex]
We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:
[tex]5a+2.5c=50[/tex]
This is now a system of equations.
We can solve this using substitution. From the first equation, let’s subtract c from both sides:
[tex]a=14-c[/tex]
Now, we can substitute this into the second equation for a. This yields:
[tex]5(14-c)+2.5c=50[/tex]
Distribute:
[tex]70-5c+2.5c=50[/tex]
Combine Like Terms:
[tex]70-2.5c=50[/tex]
Subtract 70 from both sides:
[tex]-2.5c=-20[/tex]
Divide both sides by -2.5:
[tex]c=8[/tex]
Therefore, Kate gave 8 children’s haircuts.
This means that she gave [tex]14-8=6[/tex] adult haircuts.
So, our answer is D. She gave 8 children’s haircuts.
A triangle has angle measures 23° and 35°. What is the measure of the third angle
The angles in a triangle add up to 180 degrees, so the third angle must be 180 - 23 - 35 ---> 157 - 35 --> 122.
122 degrees.
Hope this helps!
The measure of the third angle is 122° and the triangle is an obtuse angle triangle.
What is a triangle?A triangle is a 2D figure joined by the lines of three non-colinear points.
There are three types of triangles they are:- Equilateral triangle, Isosceles triangle, and Scalene triangle.
We know that sum of all the interior angles of a triangle is 180°.
Given two angles which measure 23° and 35° and assuming the third angle to be x°.
∴ 23° + 35° + x° = 180°.
58° + x° = 180°.
x = 180° - 58°.
x = 122°.
We can conclude that the triangle is an obtuse angle triangle.
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1. A local pizzeria sold 85 pizzas yesterday
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus?
(b) Suppose the actual number of pizzas sold today was 65. Describe the number of pizzas sold as a percent increase or decrease rounded to the nearest hundredth.
PLEASE ANSWER ASAP!
Answer:
(a) 102 (b) 65.5
Step-by-step explanation:
(b) 85-23%=65.45 Round 65.45 up to 65.5
Tunde's cookie shop is having a sale. Marcos
just bought 7 cookies and a $2 milkshake. If his
Hotal was $11.10, what is the cost of each
cookie?
Answer:
Each cookie costs $1.30
Step-by-step explanation:
7x+2=11.10
Subtract 2 from both sides
7x=9.10
Divide both sides by 7
x=1.30
Multiply 7*43, select True or False for each statement.
Using partial Products, the products are 21 and 28
Using regrouping, 21 ones are regrouped as 1 ten and 2 ones.
Answer:
301
Step-by-step explanation:
7x3 + 7x4 and add a 0 on to the end
what is -8 = 7 - 3/2 x