Answer:
12¢
Step-by-step explanation:
Let the unit price of a pencil be x and the unit price of a pen be y.
2x+3y=78¢
3x+2y=72¢
(2x)+3y=78¢
(3x)+2y=72¢
=2x=78¢-3y
=2x/2=78¢/2+3y/2
=x=36¢-1.5y
You then use the equation 3x+2y=72¢.
3(36¢-1.5y)+2y=72¢
=117¢-4.5y+2y=72¢
=117¢-72¢=4.5y-2y
=45¢=2.5y
=45¢/2.5=y
=18¢=y
So a pen costs 18¢.
You then use x=36¢-1.5y
x=36¢-1.5(18¢)
=x=36¢-27¢
=x=12¢
Therefore, a pencil costs 12¢.
A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week. (a) Write out the set of inequalities you would use to represent the constraints in this situation. (b) Identify the corner points. (c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure to show the comparison in your work. Use linear programming to solve.
Answer:
10020
Step-by-step explanation:
Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I?
Answer:
rectangle
Step-by-step explanation:
two sides are longer than the other while being parallel
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B?
Answer:
(-7,-3)
Step-by-step explanation:
From A to M, the x value went down 2. If it goes down another 2, it will be at -7.
From A to M, the y value went down 3. If it goes down another 3, it will be at -3.
(-7,-3)
By himself, a person can mow his lawn in 60 minutes. If his daughter helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow the lawn by herself?
Answer:
180 minutes
Step-by-step explanation:
Does anyone know how to do any of these problems? My notes are no help and none of my classmates know what to do either.
Answer:
17) 40°
18) 3x+22
19) (1,-4.5)
20) (-1,-2.5)
Step-by-step explanation:
17) 99=59=40°
18) 2x+7+x+15=3x+22
19) 6-(-8)=14
14/2=7
-8+7=1
-2-(-7)=5
5/2=2.5
-2-2.5=-4.5
midpoint = (1,-4.5)
20) 6-(-8)=14
14/2=7
-8+7=-1
5-(-10)=15
15/2=7.5
-10+7.5=-2.5
Midpoint = (-1,-2.5)
why is 6 scared of 7
.....
cuz 789
aaaaaaahhhhhhhhhhhhh
Answer:
ahhhhhhhhhhhhh
Step-by-step explanation:
what is the product of -9(5-2x)
Answer:
-45+18x
Step-by-step explanation:
2. Sketch the graph: 4y – 3x = 12.
Answer:
see below
Step-by-step explanation:
A graphing calculator is useful for this.
__
To find the x-intercept, set y=0 and solve for x:
0 -3x = 12
x = -4 . . . . . . divide by -3
To find the y-intercept, set x=0 and solve for y:
4y - 0 = 12
y = 3 . . . . . . divide by 4
Plot the x- and y-intercepts on their respective axes and draw a line through them.
3.14787898.... Will be classified as what according to the real number
system?
Real, irrational
Real, rational, integer
real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number
Answer:
real irrational
Step-by-step explanation:
integers do not have decimals.
Show all work to multiply expression. (image included) 50 points, will mark brainliest.
Answer:
im pretty sure it would be 5
Step-by-step explanation:
(-64=)-8+6=-2+(-16=)-4-3=5
Answer:
50Step-by-step explanation:
(6 + √-64) (3 - √-16)
= (6 + 8i) (3 - √-16)
= (6 + 8i) (3 - 4i)
= (6 * 3 - 8 (-4)) + (6(-4) + 8 * 3)i
= 6 * 3 - 8(-4) = 50
= 6(-4) + 8*3 = 0
= 50 + 0i
= 50
what is the diameter of 8cm in circle form?
Answer:
What is the circumference of a circle with diameter 8cm? Circumference of a circle = 3.14 x d 3.14 x 8 = 25.12 Therefore the circumference of a circle with the diameter of 8cm is 25.12cm. What is...
Step-by-step explanation:
5.5% of x =19.84 find x
Answer:
ur answer is
5.5/100*x=19.84
X=19.84*100/5.5
X=360.72
Evaluate each expression. y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
Answer:
3
Step-by-step explanation:
(5÷5)+1+(6÷6)
1+1+(6÷6)
1+1+1
3
What is the missing statement for step 6?
Answer: c
Step-by-step explanation:
I need help can someone pls find the answer
Answer:
4 is the answer
Step-by-step explanation:
because they gave 6into-4 =24
6into4 =24
I think it will help full for uu
it is helpful pls. do lijee
What is the decimal approximation of 11
after ROUNDING to the nearest tenth?
Answer:
11.0
Step-by-step explanation:
11 is an integer. Rounding to any precision of 1 or less does not change its value. You can express the fact that the digit in the tenths place is zero, if you like.
11.0
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
perform this operation:
400 A whole number a integer a real number or rational number
Answer:
All of the above
Step-by-step explanation:
A whole number and integers are numbers that don't have decimals.
A rational number is a number that can be written as a fraction
A real number is any number that is not complex, which means that it has an imaginary solution or imaginary number part of it.
Let a and b be numbers and b70, and let m and n be positive integers. Write each expression using the fewest number of bases possible.
Answer:
umm...sorry but plz can u tell me of which class is it
if a number is a whole number, then it cannot be _
a) an irrational number
b) an integer
c) a rational number
d) a natural number
Answer:
Irrational number,
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
simplify the expression
Answer:
9
Step-by-step explanation:
Since the absolute value of -9 is 9.
Translate the following,
The difference between a number and ten is the same as three times the sum of the number and six.
Answer:
x-10 = 3(x+6)
Step-by-step explanation:
The difference between x and 10
(x-10)
Is the same thing as 3*(x+6)
=3(x+6)
HELP!! What is f(x) = 4x + 8 when x = 7
Answer:
Subtract 2 2 from 2 2 . Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x4−2 f - 1 ( x ) = x 4 - 2 is the inverse of f(x)=4x+8 f ( x ) = 4 x + 8 .
Answer:
36
Step-by-step explanation:
4(7) = 28
28+8=36
Represent this statement as an equation: The difference of twice a number and 3 is 11.
Answer:
2x - 3 = 11
Step-by-step explanation:
"difference" means subtraction, so it is subtraction.
"twice a number" simply means 2x, since you do not know what the specified number is, it is x. and the 2 and just making it twice the number.
"Is 11" just means equals 11.
so, 2x - 3 = 11.
hope this helps!
Is 400 A whole number a integer a real number or rational number
Answer:
400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1
Step-by-step explanation:
the square root of 400 is rational because the product is 20 which is a whole number making it a rational number because a rational number is any interger, fraction , terminating decimal, or repeating decimal.
if the fraction 396/x-10 is equivalent to -22, find the value of x.
Answer: x = -8
Step-by-step explanation:
1. Miltiply x-10 on both sides: 396 = -22(x - 10)
2. Distribute -22 to (x - 10): 396 = -22x + 220
3. Subtract 220 from 396: 176 = -22x
4. Divide both sides by -22 to get x by itself: x = -8
I hope this is helpful :)
is 2.875 a rational or irrational number?
yessssssssssssssssssssssss
express the set in interval notation:
hey this was from class today and i want to know why he made the second difference equal to 2a. i have no idea where he got it from. thanks