The number of phones sold is 26 and the number of accessories sold is 30.
What is a Linear equation:An equation is said to be linear if the maximum power of the variable is usually 1. A linear equation with one variable has the standard form Ax + B = 0. In this case, x is the variable and A is the coefficient of x, and B is a constant.
In mathematical problems, 'x' stands for unknown value or quantity. Here we use the Linear equation concept to solve the problem.
Given that
Cameron earns an $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells.
On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold.
Let x and y be the number of phones and accessories
Given that
Cameron made a total of $361 in commission
=> 11x + 2.5y = 361 ----- (1)
Total number of phones and accessories sold
=> x + y = 56
Multiply by 11
=> 11x + 11y = 616 ----- (2)
Do (2) - (1)
=> 11x + 11y - ( 11x + 2.5y) = 616 - 361
=> 11x + 11y - 11x - 2.5y = 255
=> 8.5y = 255
=> y = 255/8.5
=> y = 30
Substitute y = 30 in x + y = 56
=> x + 30 = 56
=> x = 26
Therefore,
The number of phones sold is 26 and the number of accessories sold is 30.
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2) Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal ?
Store A: $25 for a 45 minute lesson, Store B: $30 for a 1 hour lesson, Store C: $45 for a 1.5 hour lesson, and Store D: $80 for three 1 hour lessons
Store C offers the best deal
Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.
Store A has the highest cost that is $0.56 per minute
Next Store B comes in the 2nd place which costs around $0.50 per minute.
After that Store D charges at the rate of $0.40 per minute.
Store C offers the best deal which is $0.30 per minute.
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Somebody please help
Answer:
22 in OR B
Step-by-step explanation:
A television is on sale for $75 off.
The price of the television with the sale is $300.
If you use the equation −75=300 to solve this problem, what does n represent?
In this equation, n represents the original price of the television before the sale.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using numbers, symbols, and operations. It is used to describe the relationship between different variables in a problem. Equations are usually written as a statement of equality, such as 2 + 2 = 4, where the left side of the equation (2 + 2) is equal to the right side (4). Equations can be used to solve for a single unknown value, or to determine the relationship between multiple variables.
In this equation, n represents the original price of the television before the sale.
This means that the original price of the television was $375.
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You start driving west for 5 miles, turn left, and drive south for another 8 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer: 9.4
Step-by-step explanation: plug it into Pythagorean Theorem equation
The straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.
What is the right-angled triangle?A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.
Given:
The distance to the west, W = 5 miles,
The distance to the south, S = 8 miles,
As it will make a right-angle triangle, so by using Pythagoras' theorem the hypotenuse will be the straight line distance from the starting,
Straight Distance = [tex]\sqrt{W^2 + S^2}[/tex]
Substitute the values,
Straight Distance = [tex]\sqrt{5^2 + 8^2}[/tex]
Straight Distance = 9.4 miles
Therefore, the straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.
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A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 202 ft^2 , how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.
Answer:
10 gallons
Step-by-step explanation:
Area of one rectanglular side
10 * 44 = 440
Area of trangular one triangular "roof"
(1/2)10 * 9 = 45
Total area = 4(440 + 45) = 1,940
---------------------------
Paint needed
1940 / 202 = 9.6
10 gallons
What is the value of v?
Answer: v = 100
Step-by-step explanation:
v+15 = v-37 + v-48
v + 15 = 2v - 85
85 + 15 = 2v - v
100 = v
In the similar triangles below, what is the length of ? 8 cm 4 cm 2 cm 16 cm plz help quick T-T
Answer:
4 cm
Step-by-step explanation:
Because the have the same scale if you multiply all sides by one number they should be equal. 20/5=4
Answer:
Short answer 4cm
Step-by-step explanation:
Long answer I did the quiz and got It correct so yeah.
The slope of a line that is perpendicular to y = -1 is not defined.
True
False
Answer:
True
Step-by-step explanation:
TRUE. y = -1 is a horizontal line. A line perpendicular to this horizontal line is a vertical line whose slope is not defined.
What is the equation of the circle?
Also no links please
Answer:
(x - 3)^2 + (y + 2)^2 = 2^2.
480 over 840 turning it into the lowest term
Answer:
The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.
Step-by-step explanation:
what does ANGLE G EQUAL
Please help! I was also wondering if someone can list specific topics i should focus on for my algebra exam
Answer:
Solving basic equations & inequalities (one variable, linear)
Linear equations, functions, & graphs.
Sequences.
System of equations.
Two-variable inequalities.
Functions.
Step-by-step explanation:
Express in the form 1: n.
Give n as a decimal.
16 : 12
Jayden was excited to get his test back for his
parents to sign He scored a 105%. He
received the extra 5 points for showing his work.
Which decimal represents his test score?
Answer:
1.05
Step-by-step explanation:
100% is 1.0, therefore 105% will be 1.05.
Explanation:
Think of 105% as 105.0%
Now remove the percent sign to get 105.0
Lastly, move the decimal point two spots to the left to get to 1.05
Percentages that are over 100% convert to decimal values larger than 1; on the flip side, percentages that are under 100% are between 0 and 1.
More Examples:
76% = 0.76
18% = 0.18
255% = 2.55
Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results
The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.
what is sample size?
The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.
The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.
It's important to take into account the following data:
The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.
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Why is commutative property of addition important?
When adding multi-digit numbers, it's a good idea to employ the commutative property. However, counting up becomes simpler if pupils are aware that they can change the order of the addends and begin adding with the larger number FIRST.
What does the addition's commutative property mean?According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Here, a and b may be fractions, decimals, whole numbers, or even integers.
For instance, 1+2=2+1 and 2x3=3x2.
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Solve 345°=
Please help me ASAP
the due date of my assignment is tomorrow
The answer to ur question is 1
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
A high school has a population of 2,035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.
Predict the number of students that will be in the school after five years. Show all of your work.
The student population in the school can be modeled using an exponential function of the form:
P(t) = 2,035 * 1.03^t
where P(t) is the student population t years from now, and 1.03 is the factor by which the population increases each year.
To predict the number of students in the school after five years, we can substitute t = 5 into the function:
P(5) = 2,035 * 1.03^5
= 2,035 * 1.1895
= 2,408.76
Thus, there will be approximately 2,408.76 students in the school after five years.
Meant this question sorry.
please help me with math!!!
Answer:
Step-by-step explanation:
To move all the constants to the right side: Subtract 0.4 from both sides
-9x = 3.6
To isolate the variable: Divide both sides of equation by -9
x = -3.6/9
Solution of the equation: -0.4
Can u please help me...............
Please find attached the graph showing the translation transformation of the triangle ΔABC with vertices A(2, 1), B(-1, 2), and C(-2, -1) using the rule (x, y) → (x - 1, y - 3), to produce triangle ΔA'B'C' with vertices A'(1, -2), B'(-2, -1), and C'(-3, -4), created with MS Excel
What is a translation transformation?A translation transformation is one in which the location of the points on the original figure slides by the same amount and in the same direction to form the image.
The vertices of the triangle ΔABC are; A(2, 1), B(-1, 2), and C(-2, -1)
The specified transformation is; (x, y) → (x - 1, y - 3)
Applying the specified transformation, we get;
A(2, 1) ⇒ (x, y) → (x - 1, y - 3) ⇒ A'(2 - 1, 1 - 3) = A'(1, -2)
B(-1, 2) ⇒ (x, y) → (x - 1, y - 3) ⇒ B'(-1 - 1, 2 - 3) = B'(-2, -1)
C(-2, -1) ⇒ (x, y) → (x - 1, y - 3) ⇒ C'(-2 - 1, -1 - 3) = C'(-3, -4)
The vertices of the image ΔA'B'C' of the triangle ΔABC following the transformation, (x, y) → (x - 1, y - 3) are therefore;
A'(1, -2), B'(-2, -1), C'(-3, -4)
Please find attached the graph of the triangle ΔABC and its image ΔA'B'C' after the translation (x, y) → (x - 1, y - 3), created with MS Excel
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What is the center of a circle (x y) with the equation (x + 3)^2 + (y − 5)^2 = 16
Step-by-step explanation:
the center of the circle is (−3,5) and radius is 16 =
make a 10 by 10 grid and show a model of 52%
Answer:
Step-by-step explanation:
52% would be 100% - 48%. If you do make a 10 by 10 grid, you would shade half the grid (e. g., share the lower 5 rows of 10 squares each) PLUS shade 2 more white squares, for a total of 52 shaded squares.
Hello can someone please help me with this please What is the best possible geometric model for a set of rail tracks?
Ray ----Point ---- Line --- Plane
Fine the measure of an angle that is supplement to ABC if m < ABC is 82?
100 ---- 8---------278------
Fine the measure of an angle that is complementary to ABC is 32?
328------148------58------32
The intersection of two lines is a ?
Quadrilateral--------Point--------Line--------Plane
A rail track is composed by multiple lines, however all the lines are in the same plane, hence a plane is the best geometric model for the rail track.
How to obtain the supplement of an angle?Two angles are supplementary if the sum of their measures is of 180º, hence the supplement of an angle is obtained subtracting 180º by the angle measure.
This means that the supplement of ABC = 82º is given as follows:
180º - 82º = 98º.
How to obtain the complement of an angle?Two angles are complementary if the sum of their measures is of 90º, hence the complement of an angle is obtained subtracting 90º by the angle measure.
This means that the supplement of ABC = 90º is given as follows:
90º - 32º = 58º.
Where do two lines intersect?Two lines intersect at a single point, which is the solution to the system of equations involving the two lines.
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these ar the numbers and i need the ratio
thank you!
help me please its due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answer:
1:3
Step-by-step explanation:
[Please help me on this- I will give you brainlist!!]
Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).
The degree of polynomial is 2 and leading coefficient is 3.
What are polynomial?A polynomial is a mathematical expression made up of one or more terms. The phrases "poly" and "nominal," for example, are whence the name "polynomial" arose. The words "poly" and "nominal" both signify many. A polynomial is an algebraic expression with two or more algebraic terms, to put it simply. It has exponents, operators, coefficients, coefficients, variables, and constants.
Given polynomials 9, 3x², 8x
standard form of polynomial; The value of the largest exponent in a polynomial is known as its degree. However, it differs between a polynomial with just one variable and one with multiple variables. The degree of a polynomial for a single variable is equal to the variable's highest power in the polynomial.
the standard form is 3x², 8x, 9
degree of polynomial is 2.
and leading coefficient is the constant term followed by the variables with highest power,
LC = 3.
Hence degree = 2 and leading coefficient = 3.
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Order these numbers from least to greatest.
8 17/20
222/25
8.859
8.73
Answer:
8.73, 8 17/20, 8.859, 222/25
Hope this helps!
Can somebody help me solve this equation? Thanks.
Answer:
15w^2
Step-by-step explanation:
The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2
Refer to the attached image.
how to find pattern and equation of y = 3x + 7
Answer:
Use desmos.
Step-by-step explanation:
In the image attached, I graphed the linear function on a graphing calculator. B=7 and the slope is 3.