Answer:
The equation that represents the total cost in dollars is C = 100p + 300
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ fixed amount∵ Avery must pay a daily fixed cost to rent the building and equipment
∴ There is a fixed amount b
∵ She pays a cost per phone produced for materials and labor
∴ There is a rate m
∵ C represents the total cost of producing p phones in dollars
→ Form the linear equation for the situation
∴ The equation is C = m p + b
∵ The labor and materials cost $100 for each phone
∴ m = 100
→ Substitute it in the equation above
∴ C = 100p + b
∵ The cost of producing 3 phones in a day would be $600
∴ p = 3 and C = 600
→ Substitute them in the equation above to find b
∵ 600 = 100(3) + b
∴ 600 = 300 + b
→ Subtract 300 from both sides to find b
∵ 600 - 300 = 300 - 300 + b
∴ 300 = b
→ Substitute it in the equation
∴ C = 100p + 300
∴ The equation that represents the total cost in dollars is C = 100p + 300
What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
x =
Answer:
x = 12
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)
Expand out terms of the left hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)
Expand out terms of the right hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6
Subtract 2x from both sides:
[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6
5x - 2x = 3x:
[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6
2x - 2x = 0:
[tex] \longrightarrow [/tex] 3x - 30 = 6
Add 30 to both sides:
[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6
30 - 30 = 0:
[tex] \longrightarrow [/tex] 3x = 6 + 30
6 + 30 = 36:
[tex] \longrightarrow [/tex] 3x = 36
Divide both sides of 3x = 36 by 3:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{3}{3} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{36}{3} = 12: [/tex]
[tex] \longrightarrow [/tex] x = 12
Answer: 12
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!
help plz plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
slope: 4/6
Y intercept: -2
Equation: y=4/6x-2
$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .
Answer: 3: $3.50 for one pound
4: The value of X is 10
5: P has the value of 2
Step-by-step explanation:
Anita guessed that there were 180 pieces of candy in a jar, they were actually 220 pieces of candy in the jar what was Anita's approximate percent error
Answer:
18%
Step-by-step explanation:
Solve by making 180/220 into a percentage:
First, simplify the fraction by both parts by 20. This will result in the fraction 9/11.
To make it a percentage, write it as a ratio:
9/11 = x/100
Multiply both sides by 100 and 11:
11x = 900
Divide both sides by 11:
x = 81.818181...
Subtract from 100 to find the error:
18.181818...
So about 18%
Hope that helps! :D
Answer: 18%
Step-by-step explanation: Trust me.
Guys!!!!!!! plz help me answer this! 40 points!!!!
Answer:
x = 6.
Step-by-step explanation:
There are actually two possible solutions, namely 6 and -1. However, due to the impossibility of the answer being -1 (a side cannot have negative length), the answer is 6.
Hope this helped!
I beg you please help me I will give you lots of credit please
Answer:
B
Step-by-step explanation:
The line going with the graph for 1 day meets in-between 1, and 2 dollars, so it is 1.50
How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain
Choose the correct answer below
O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite
number of solutions because a variable can be any number
OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,
and the solution is called the identity of the variable
OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable
OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement
regardless of the value of the variable
Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
Step-by-step explanation:
For an identity equation ; The value on the right and left hand side of the equation are equal :
Left hand side = Right hand side
The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.
Hence, for every value substituted in for the variable in the equation, the equation is a true statement.
3 to the power of 2 + (15 ÷ 5 × 6) − 49
Answer:
i think its -31
Step-by-step explanation:
thats what i got
hope this helps :)
Answer:
-22
Step-by-step explanation:
PEMDAS!
Solve (15 ÷ 5 × 6) first. This is equal to 18.
[tex]3^2[/tex] + 18 - 49
[tex]3^2[/tex] is equal to 9.
9 + 18 - 49 = -22
what is the equation for the line in slope intercept form plz help ASAP
Answer:
y = - 4x + 5
Step-by-step explanation:
y = mx + b
(0, b) y-intercept
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~
( - 2, 13)
(0, 5) <----- y-intercept
(3, - 7)
(4, - 11)
m = [tex]\frac{-11+7}{4-3}[/tex] = - 4
y = - 4x + 5
2x/25 = 0.4/0.15. Please Help.
Answer:
x = 1.335
Step-by-step explanation:
2x = 10/3.75
2x = 2.67
x = 1.335
Find the product of the binomials.
(x - 2) (3x + 1) (4x – 3)=
Answer:
Step-by-step explanation:
(x - 2) (3x + 1) (4x – 3)=
12x^3-29x^2+7x+6
Foil the binomials.
x*3x x*4x etc
2.What is the answer to this problem
Answer: It is not a Function
Step-by-step explanation: One input has two outputs.
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
If I saved up $10 every 2 weeks, how much would I have saved in a year? Please help, thank you!
which equation represents the line that passes through the points (6, -3) and (-4,-9)
A. y + 4= 3/5(x+9)
B.y + 4= 5/3(x+9)
C.y - 3=3/5(x+9)
D.y + 3=3/5(x-6)
Answer:
b is the answer
Step-by-step explanation:
What is 100000000000000x234500000020000030040040
Answer:
234500000020000000000000000
Step-by-step explanation:
236462700.806 to the nearest cent
Answer:
236462700.81
Step-by-step explanation:
The nearest cent refers to the hundreds place, because 100 pennies (or cents) make 1 dollar. We look at the number to the right of the hundredths place and if it is less than 5 we round down, but if it is 5 or more we round up. Since 6 is more than five we round up, and are left with 236462700.81.
Please help, thank you
Answer:
The answer is B
Step-by-step explanation:
8^1/3=2
Winnie needs to spend $120 on two kinds of fancy cakes:
Chocolate Delight and Coffee Comfort. The Chocolate cake
sells at 12 dollars per slice and the Coffee cake sells at 10
dollars per slice.
If Winnie buys 5 slices of Chocolate cake, how many slices of
Coffee cake does she buy?
___slices
Answer:
Winnie needs to buy 6 slices of Coffee cake.
Step-by-step explanation:
12 * 5= $60 (chocolate cake)
120 - 60= 60
since we know the coffee cake costs $10(per slice) we do:
60/ $10= 6 slices of coffee cake.
2/21 times 7/5 simplified
Answer:
2/15
Step-by-step explanation:
21 times 5 = 105
2 times 7 = 14
14/105 divided by 7 ( They both can be divided by 7 )
2/15
Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4t - 3 > 370 - 50
Answer:
t<47/33
Step-by-step explanation:
(x + 3)2 – (y + 2)
2
Answer:
2x+2-2y
Im confused are those supposed to be ^2 powers? If so then the answer would be
x^2+6x+5-y^2-4y
Step-by-step explanation:
I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!
There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?
Answer:
2496 calorise
Step-by-step explanation:
3 pounds = 3 x 16 = 48 ounces
312 cal = 6 ounces, so the unit rate is ( 312 ÷ 6 = 52) 52 cal per ounce
52 x 48 ounces = 2,496
Glad I could help
Solve for x
4/7^5x=64/343^2x-1
figure Ais reflected across the line to create figure A’
3(x + 7)
plz heeelp
who ever helps gets 5 points
Answer:
3x + 21
Step-by-step explanation:
3(x+7)
3 * x + 3 * 7
3x + 21
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
3x + 21
Step-by-step explanation:
3(x + 7)
3(x + 21)
3x + 21
Six less than two times a number
Answer:
6<2x
Step-by-step explanation:
six less than 2 is 6<2
times a number would be 2 and any letter so 2x
The sum of three numbers is 67. The third number is 2 times the first. The first number is 5 more than the second. What are the numbers?
Answer:
1. 18 2. 13 3. 36
Step-by-step explanation:
Which is the graph of the solution set of −2x + 5y > 15? On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (5, 1). Everything below and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 5) and (10, 9). Everything above and to the left of the line is shaded.
Answer:
The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).
Step-by-step explanation:
Answer: A
Step-by-step explanation:
can someone help me , with math thanks
Answer:
2+w greater than 5
Step-by-step explanation:
w=-3
Answer:
[tex]w = 3[/tex]
Step-by-step explanation:
[tex]2 + w > 5 \\ w = 5 - 2 \\ w = 3[/tex]