Answer:
the product of 3, and a number increased by 2
Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of water and 25 sodas, bringing in $110. Sunday, he sold 50 bottles of water and 45 sodas, making $165. What are the prices for each beverage option?
Answer:
$2 for soda and $1.5 for a bottle of water
Step-by-step explanation:
You start by turning both situations into an equation
Let x represent bottles of water and y represent sodas
Saturday:
[tex]40x+25y=110[/tex]
Sunday:
[tex]50x+45y=165[/tex]
You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:
50÷40=1.25
You then times the whole equation by -1.25
40x+25y=110
×-1.25
-50x+-31.25y= -137.5
You then add this equation by Sunday's equation
50x+45y=165
-50x+-31.25y=-137.5
13.75y=27.5
You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring
13.75y=27.5
×1.09 recurring
15y=30
15y/15=30/15
y=2
Now that we know y = 2
We can use either Saturday or Sunday's equation to figure out the value of [tex]x[/tex]
Let's use Sunday's:
50x+45×2=165
50x+90=165
50x+90-90=165-90
50x/50=75/50
x=1.5
Let's check our answer with Saturday's equation
40×1.5+25×2=110
This equation is correct
Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda
How is 0.09 smaller than 0.1
Answer:
[tex]0.09 < 0.1[/tex]
Step-by-step explanation:
Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.
Hope this helps.
What is the total cost of a $250,000 house with a 6.5% tax rate?
Answer:
266,250$
Step-by-step explanation:
Determine if the given pair of lines is parallel, perpendicular or neither.
(1 Point)
Y= 5x+3
y = -6x + 3
I need help ASAP it’s a math question for my test
Fourth grade > E.11 Divide 2-digit numb Divide: 16 16 : 5 = OR Submit
Answer:
22 and 0
Step-by-step explanation:
mark spent 135$ on his comic book collection. he just sold it online for 310$. approximately what is the profit as a percent of his original cost?
Answer:
70% is approximately the answer
Step-by-step explanation:
135 x 2 = 270
310 - 270 = 40
35 out of 40 is 7/8.
The answer should be approx 70, I can not make sure.
1) Simplify the expression:
12 - [2 +6+ (10 - 23)] =
Answer:
17
Step-by-step explanation:
use PEMDAS but it’s 17
Answer:
Simplifying
12 + -1[2 + 6 + (10 + -23)] = 0
Step-by-step explanation:
(3x-7) (x+5) what is the value of x
Answer:
3x^2+8x−35
Step-by-step explanation:
sry if this is wrong
Help help help helppoo
Find the value of x.
G
(x + 445°)
H
3xº
Answer:
x= 22
x+44=3x
-x. -x
44=2x
÷2. ÷2
22=x
Based off picture
Write an equation of the line that passes through a pair of points:
(-5,-2), (4,5)
It’s not b
Answer:
C
Step-by-step explanation:
We want to determine the equation of the line that passes through the points (-5, -2) and (4, 5).
First, let’s determine the slope of the line. We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-5, -2) be (x₁, y₁) and let (4, 5) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{5-(-2)}{4-(-5)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{5+2}{4+5}=\frac{7}{9}[/tex]
So, our slope is 7/9.
Now, we can use the point-slope form to determine the rest of the equation:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 7/9 for m.
For consistency, we will also let (x₁, y₁) be (-5, -2). Hence:
[tex]\displaystyle y-(-2)=\frac{7}{9}(x-(-5))[/tex]
Simplify:
[tex]\displaystyle y+2=\frac{7}{9}(x+5})[/tex]
Distribute:
[tex]\displaystyle y+2=\frac{7}{9}x+\frac{35}{9}[/tex]
Subtract 2 from both sides. Note that 2 is equivalent to 18/9. Hence:
[tex]\displaystyle y=\frac{7}{9}x+\frac{35}{9}-\frac{18}{9}[/tex]
Simplify:
[tex]\displaystyle y=\frac{7}{9}x+\frac{17}{9}[/tex]
Therefore, our answer is C.
please answer this for me
I cut out a square piece of fabric with an area of 32 square feet. Which expression could be used to find the side length of the fabric?
Answer:
area=length*width
32/width=length
The expression to find the side length of the fabric is,
⇒ Side length = √32
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The area of a square piece of fabric = 32 square feet
Now,
Since, We know that;
⇒ Area of square = Side²
Substitute the value of area of square piece of fabric in above equation, we get;
Side² = 32
Take square root both side, we get;
Side = √ 32
Thus, The expression to find the side length of the fabric is,
⇒ Side length = √32
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Please help me on this question
There are 4 squares and 10 triangles. What is the simplest ratio of squares to total shapes?
Answer:
2:5 I think
Step-by-step explanation:
3. Candy Kane Cosmetics (CKC) produces Leslie Perfume, which requires chemicals and labor. Two production processes are available: Process 1 transforms 1 unit of labor and 2 units of chemicals into 3 oz of perfume. Process 2 transforms 2 units of labor and 3 units of chemicals into 5 oz of perfume. It costs CKC $3 to purchase a unit of labor and $2 to purchase a unit of chemicals. Each year, up to 20,000 units of labor and 35,000 units of chemicals can be purchased. Each ounce of Leslie Perfume sells for $5.
Answer:
using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.
Total production = 6,666 x 3 = 19,998 ounces of perfume.
Total revenue = 19,998 x $5 = $99,990
Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662
Operating income = $53,328
Step-by-step explanation:
Variables:
P₁ = number of hours in process 1
P₂ = number of hours in process 2
P₁ yields 3 ounces of perfume
P₂ yields 5 ounces of perfume
both are sold at $5 per ounce
15P₁ + 25P₂
labor usage:
(1P₁ + 2P₂) x $3
3P₁ + 6P₂
chemicals usage:
(2P₁ + 3P₂) x $2
4P₁ + 6P₂
Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂
so we need to maximize 8P₁ + 13P₂
the constraints are:
3P₁ + 6P₂ ≤ 20,000
4P₁ + 6P₂ ≤ 35,000
P₁, P₂ ≥ 0
using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.
Total production = 6,666 x 3 = 19,998 ounces of perfume.
Total revenue = 19,998 x $5 = $99,990
Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662
Operating income = $53,328
Help Please.........
Answer:
Step-by-step explanation:
Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies
Answer:
x = - 10.5
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition y = 8 when x = 3.5 , then
8 = [tex]\frac{k}{3.5^2}[/tex] ( multiply both sides by 3.5²
8 × 3.5² = k , that is
k = 98
y = [tex]\frac{98}{x^2}[/tex] ← equation of proportion
When y = [tex]\frac{8}{9}[/tex] , then
[tex]\frac{8}{9}[/tex] = [tex]\frac{98}{x^2}[/tex] ( cross- multiply )
8x² = 882 ( divide both sides by 8 )
x² = 110.25 ( take the square root of both sides )
x = ± [tex]\sqrt{110.25}[/tex] = ± 10.5
Thus x = - 10.5 ← is the negative value of x
✅ Right answers only ✅
Answer:
12x+4x
Step-by-step explanation:
These tables of ordered pairs represent some points on the graphs of lines m and n.
Which system of equations is represented by lines m and n?
a) 3x-4y=24 2x+37=-6
b) x-8y=16 5x+2y=20
c) x-3y=6 5x-y=10
d) 2x-9y=18 7x-2y=14
line M
x y
-3 -3
0 -2
6 0
line n
x. y
-3 -25
1 -5
6 20
im literally begging, pleaseee helpp!!
Answer: its b
Step-by-step explanation:
The system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively. which is the correct option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line.
Given that line M passes through the points (-3, -3) and (6, 0).
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -3, y₁ = -3
x₂ = 6, y₂ = 0
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - (-3) = (0 - (-3))/(6-(-3) )[x -(-3))
⇒ y + 3 = 3/9(x + 3)
⇒ y + 3 = 1/3(x + 3)
⇒ 3y + 9 = (x + 3)
⇒ x - 3y = 6
Given that line N passes through the points (-3, -25) and (6, 20).
⇒ y - (-25) = (20 - (-25))/(6-(-3) )[x -(-3))
⇒ y + 25 = 45/9(x + 3)
⇒ y + 25 = 5(x + 3)
⇒ y + 25 = 5x + 15
⇒ 5x - y = 10
Therefore, the system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively.
Learn more about the Lines here:
brainly.com/question/14511992
#SPJ2
Jessie bought f bags of potting soil for $2.00 each. Which expression shows how much Jessie paid?
A. f + 2
B. 2f
C. 2f + 2
D. f + f
Answer:
B. 2f
Step-by-step explanation:
give brainliest please :)
Answer:
the answer is a because since it’s $2 each and there’s f amount of bags, you would multiply to get the total cost so that means its B
Step-by-step explanation:
Jessie cuts grass on the weekends. If they get paid $20 a yard and made a total
of $100 last weekend, which algebraic equation can be solved to find how many
yard they cut last weekend? (Let X be the number of yards they cut)
O (20)X = 100
(100)X = 20
(20)100 = X
100 - X = 20
X-20 = 100
is this proportional or not
Answer:
yes
Step-by-step explanation:
also nice woody pfp :D
Please help me with this I would appreciate it a lot thank you!
Answer: B
Step-by-step explanation: Big Brain
What are the factors of 3x2 + 10x + 8?
(3x+8)(x+1)
(3x+1)(x+8)
(3x+2)(x+4)
(3x+4)(x+2)
Answer: (3x+2)(x+4)
Step-by-step explanation:Explanation:
3x2+10x−8
first multiply
3
with −8
and we get −24
then find two numbers that if we add or subtract we get
+10
and if we multiply we get
−24
and the numbers are
+12
and
−2
then we place those numbers as follow :-
3x2+12x−2x−8
then we group them
(3x2+12x)(−2x−8)
now take the common factor out.3x(x+4)−2(x+4)
then group the numbers outside of the brackets
(3x−2)(x+4)
The below shows the cost of items sold at Luke's electronics. Which two items would represent the ratio 3:1
Xbox game $60
Stereo $100
DVD player $30
TV $400
Blue Ray Player $90
A pet store has 7 canaries and 3 parrots.The ratio of the number of parrots to the total number of birds is
Answer:
3 : 10
Step-by-step explanation:
most simplified form
The ratio of the number of parrots to the total number of birds will be equal to 3:10.
What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the provided information in the question,
Total canaries in the store = 7
Total parrots in the store = 3
Then, total number of birds in the store = 7 + 3 = 10
So, the ratio of number of parrots to the total number of birds will be,
3 : 10
To know more about Ratios:
https://brainly.com/question/13419413
#SPJ5
In parallelogram CNWK, ZC and ZK are consecutive interior angles. The
measure of ZC is (4a + 7)º and mZK = (7a – 3)º. What is mZC in
degrees?
Answer:
[tex] J. \:\:71\degree[/tex]
Step-by-step explanation:
CNWK is a [tex] ||^{gm} [/tex]
[tex] \therefore m\angle C + m\angle K = 180\degree [/tex]
(Adjacent angles of a parallelogram)
[tex] \therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\
\therefore (4a+7+7a - 3)\degree = 180\degree\\\\
\therefore (11a+4)\degree = 180\degree\\\\
\therefore 11a+4 = 180\\\\
\therefore 11a= 180-4\\\\
\therefore a= \frac{176}{11}\\\\
\therefore a= 16\\\\
\because m\angle C = (4a+7)\degree\\\\
\therefore m\angle C = (4\times 16+7)\degree\\\\
\therefore m\angle C = (64+7)\degree\\\\
\huge \orange {\boxed {\therefore m\angle C = 71\degree}} \\\\
[/tex]
k(-1)=? need hlep not ask for mush answers quick pls ❤️❤️
6-4x=6x-8+2
cual es la respuesta de esta ecuación ?
Answer:
La repuesta es 6/5.
Step-by-step explanation:
6-4x=6x-8+2
-2 -2
4-4x=6x-8
+8 +8
12-4x=6x
+4x +4x
12=10x
÷10 ÷10
12/10=x
6/5=x
Which numbers lie between -2 and -3 on a number line
Answer:
Any real number between the two numbers such as -2.99, -2.5, -2.01, basically anything between the two.
Step-by-step explanation:
