The expression xy3 has a positive value.
What must be true of the value of x if y is negative?
Answer:
x should be positive
Step-by-step explanation:
Sam screen prints custom t-shirts. He spends $320 each month for the paints he needs to make the shirts. He has found he can purchase quality plain shirts for $9.00 each. He screen prints the shirts and sells them at a local thrift shop for $24.00 each. The thrift shop charges him $100 per month to rent. How many shirts does Sam have to sell each month in order to break even?
Given parameters:
Cost of paint per month = $320
Cost of quality plain shirts = $9 each
Selling price = $24
Rent per month = $100
Unknown:
Number of shirts Sam has to sell to break even = ?
Solution :
Let the number of shirt sold each month = y
To break even the cost price per shirt must be equal to the selling price;
i.e;
Cost price = selling price at break even point;
Cost price = Cost of paint + Cost of quality plain shirt + Cost of rent
= 320 + 9y + 100
= 420 + 9y
Selling price = 24y
To break even;
420 + 9y = 24y
420 = j24y - 9y
420 = 15y
y = [tex]\frac{420}{15}[/tex] = 28
To break even, Sam must sell 28 shirts in a month.
Error Analysis: Find, describe & correct the error that a student has made while solving the equation: LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) Step Number Equation 1 LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) 2 LaTeX: 4=-2x-64 = − 2 x − 6 3 LaTeX: 4+6\:=\:-2x\:-\:6\:+\:64 + 6 = − 2 x − 6 + 6 4 LaTeX: 10\:=\:-2x10 = − 2 x 5 LaTeX: \frac{10}{-2}=-\frac{2x}{-2}10 − 2 = − 2 x − 2 6 LaTeX: -5=x
Given:
[tex]4=-2\left(x-3\right)[/tex]
To find:
The error that a student has made while solving the equation.
Solution:
We have,
[tex]4=-2\left(x-3\right)[/tex]
Using distributive property, we get
[tex]4=-2(x)-2(-3)[/tex]
[tex]4=-2x+6[/tex]
Subtract 6 from both sides.
[tex]4-6=-2x+6-6[/tex]
[tex]-2=-2x[/tex]
Divide both sides by -2.
[tex]1=x[/tex]
The value of x is 1.
In step 2, the distributive property is not used properly because when -2 is distributive with -3 then we get 6 instead of -6.
Therefore, the student has made error in step 2.
7. Identify the appropriate mixed number for the picture shown.
O A. 1²
O B. 3
C. 244
O D. 2 ½
Can anyone help me out with this one?
Answer:
HEy, dont every do tht
Step-by-step explanation:
Answer:
The value of X is 72
Step-by-step explanation:
corresponding angles
The product of 8 and the sum of a number x and 14
Algebraic Expression
Answer:
8(x+14)
Step-by-step explanation:
Answer:
8x+112
Step-by-step explanation:
8(x+14) = 8x+112
Solve for :
2(6 - 2x) + 3x = 4 + 2(5 + x)
Answer:
12-8 +3 = 4 + 10 +3
Step-by-step explanation:
2(6 - 2x) + 3x = 4 + 2(5 + x)
12-4x+3x=4+10+2x
12-x=14+2x
12=14+3x
-2=3x
-2/3=x
Which of the following expressions is equivalent to 1/3 ÷ 3/4
A 1/3 x 3/4
B 3/1 x 3/4
C 3/1 x 4/3
D 1/3 x 4/3
a large water bottle holds 32 fluid ounces which is 0.946353 liter. round this decimal to the nearest thousandth. explain how you rounded the decimal
Answer:
0.946 liter
Step-by-step explanation:
Here, we are told to round 0.946353 to the nearest thousandth.
The nearest thousandth is simply the third value after the decimal point.
Now to successfully round this number, we need to consider the number after this number. If the number is less than 5, then we round it up as zero and add to the thousandth digit.
in the case where the fourth number is higher than or equal to 5, we turn it to 1 and add it to the thousandth number
In the case of this question however, we can see that the number is less than 5, so we can only round to 0 and this does not affect the thousandth digit .
Haley can read 5/8 pages in 2/3 minutes how many pages can she read in one minute
Given parameters:
Number of pages Haley can read = [tex]\frac{5}{8}[/tex] pages
Time to read the pages = [tex]\frac{2}{3}[/tex] min
Unknown:
Number of pages that can be read in 1 min = ?
Solution:
To solve this problem let us find Haley's rate;
Rate = [tex]\frac{Number of pages Haley can read}{Time }[/tex]
Input the parameters and find the rate;
Rate = [tex]\frac{5}{8} / \frac{2}{3}[/tex]
Rate = [tex]\frac{5}{8} x \frac{3}{2}[/tex]
Rate = [tex]\frac{15}{16}[/tex] pages/min
Now that we know the rate;
In 1 min; number of pages Haley can read;
Number of pages = Rate x time
Number of pages = [tex]\frac{15}{16}[/tex] x 1 = [tex]\frac{15}{16}[/tex][tex]\frac{15}{16}[/tex] pages
Haley can read pages [tex]\frac{15}{16}[/tex] in 1 minute.
Any help with this plz!!! <33
Answer:
A = 37°B = 63°C = 16°Step-by-step explanation:
The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.
Tan = Opposite/Adjacent
angle = arctan(opposite/adjacent)
A = arctan(3/4) ≈ 37°
B = arctan(2/1) ≈ 63°
C = arctan(2/7) ≈ 16°
NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!
Answer: The line is horizontal
Step-by-step explanation:
The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it
Rewrite in simplest terms: -4(-2x-7)+6x-7
Order the expressions from least to greatest.
22 x 5
111
82 – 60
Answer:
82 - 60, 22 × 5, 111
Step-by-step explanation:
Solve the expressions:
22 × 5 = 110111 = 11182 - 60 = 22Order the expressions from least to greatest:
The third expression has the least value, so it is firstThe first expression has the next greatest value, so it is secondThe middle expression has the greatest value, so it is lastWrite out the expressions from least to greatest:
82 - 60, 22 × 5, 111
!!!HELP !!!! MEEE ITS DUE SOON !!!!
need help with the question
how do you find the range for a continuous graph
Answer:
The independent quantity is normally plotted on the horizontal (x) axis - which means that the points in the x coordinate are the domain. Since the dependent quantity is normally plotted on the vertical (y) axis, the y-coordinates make up the range.
i hope this helped
Step-by-step explanation:
NEED YOUR HELP ASAP!!
Answer:
$1.67
Step-by-step explanation:
To find out the price per pound, you need to find the unit price.
15/9 = $1.67/1
Simply divide both numbers by 9.
PLEASE HELP I WILL GIVE BRAINLIEST
1+1
a rectangle has a width of 2x + 1 and a length of 6X which expression describes this area
Given parameters:
Width = 2x + 1
Length = 6x
Unknown:
Expression for the area = ?
Solution:
The area of a rectangle is the space it occupies,
Area of rectangle = length x width
Input the parameter and solve;
Area of rectangle = 6x(2x + 1)
= 12x² + 6x
The area of the rectangle is 12x² + 6x
Which measure of center is shown in a box plot? mean, median, mode, range
Answer:
B: Median
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
my question is,
$6.79 for 32 oz.
Answer:
What am i supposed to figure out
Step-by-step explanation:
Answer:
YOU HAVE TO FIGURE OUT HOW MUCH IT IS FOR 1 MAN
Step-by-step explanation:
Write the equation of a line that is perpendicular to y= 3x-2 and that passes through the point (-9,5)
Answer:
Ans: y = (-1/3)x + 2
Step-by-step explanation:
Perpendicular lines have slopes whose product is -1. The slope given in
y = 3x - 2
is -3.
The slope of the perpendicular line will be m, and m needs to satisfy the equation
3 * m = -1
Hence m = -1/3.
Our perpendicular line is thus
y = (-1/3)x + b
for some constant b.
We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold:
5 = (-1/3)(-9) + b
= 3 + b
b = 2
Ans: y = (-1/3)x + 2
pls answer the following. put them in order from least to greatest:
1.6, 1.6071, 1.08, 1.008.
Answer:
1.008
1.08
1.6
1.6071
Step-by-step explanation:
least to greatist
7.
You are buying t-shirts for the members of the math club. Each short-sleeve t-shirt costs
$10 and each long-sleeve t-shirt costs $17. If you purchase x short-sleeve t-shirts and y
long-sleeve t-shirts, write an equation to represent the total cost of the purchase.
Answer:
10x +17y=c (C is the total cost)
Answer:
10x+17y = z
Step-by-step explanation:
You have to multiple 10 by the number of t shirts you have(x)
Then you have to multiply 17 by the number of long sleeve shirts you have (y)
You then have to add 10x and 17y to get your total cost(z)
HELP ME IM LOST :/
In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.
Answer:
15 sides
Step-by-step explanation:
Recall the following about interior and exterior angles of polygons.
Interior angles of polygons:
The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.
If we know the number of sides, we can find the sum of the measures of the angles.
Exterior angles of polygons:
The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.
This problem:
QRSTU is a regular pentagon.
The sum of the measures of the sides of a polygon of n sides is
(n - 2)180
For a pentagon, n = 5, so
(n - 2)180 = (5 - 2)180 = (3)180 = 540
The sum of the measures of the angles of pentagon QRSTU is 540.
Since it's a regular polygon, each angle measures 540/5 = 108.
Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.
Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
m<VQU = 12 (given)
m<UQR = 108
m<VQR = m<VQU + m<UQR = 108 + 12 = 120
The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.
<VQR + m<R + m<S + m<TVQ = 360
We now substitute the angle values we know and solve for m<TVQ.
120 + 108 + 108 + m<TVQ = 360
m<TVQ = 24
<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.
[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]
[tex] a = \dfrac{360}{n} [/tex]
We know that the measure of an exterior angle is 24 deg.
[tex] 24 = \dfrac{360}{n} [/tex]
[tex] n = \dfrac{360}{24} [/tex]
[tex] n = 15 [/tex]
Answer: 15 sides
Answer:
15 sides
This was tough.
Which algebraic expression is equivalent to this expression?
3(2x − 8) – 11x
A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24
Answer:
the answer is d
Step-by-step explanation:
Answer:
[tex]\huge\boxed{D.\ -5x-24}[/tex]
Step-by-step explanation:
[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]
i have a question on ratios
Answer:
What is your question?
16 + 7h = 2 what does that equal too?
Answer:
h = -2
Step-by-step explanation:
16+7h = 2
subtract 16 from BOTH sides
7h = 2-16
simplify
7h = -14
divide BOTH sides by 7
h = -2
Item 3
Find (12y−1)+(−10y+7).
Answer:
2y+6
Step-by-step explanation:
