Gerardo compró un servicio de limpieza para su negocio que le cobra $300 por cada uno de los dos primeros servicios y $150 por servicio adicional. Esta vez Gerardo ha requerido 5 servicios en total, por lo que se ha hecho acreedor a una promoción de $100 de descuento, ¿cuánto pagará Gerardo en total por sus servicios?
Answer:
CT= $950
Step-by-step explanation:
Dado la siguiente información:
Servicio= $300 primeros dos
Servicio adicional= $150
Descuento= $100
Para calculate el costo total, tenemos que usar la siguiente formula:
CT= 300x + 150y - 100
x= costo normal
y= costo promocional
CT= 300*2 + 150*3 - 100
CT= $950
Mr Hassan gave his year 7 class a test on Friday. The highest possible mark for the test was 10.
Answer/Step-by-step explanation:
a. From the bar graph, 1 student scored 9, 4 students scored 10.
Therefore, the no. of students who scored above 8 is: [tex] 1 + 4 = 5 [/tex]
b. From the graph, we have the following:
3 students scored 1
5 students scored 2
2 students score 4
6 students scored 5
12 students scored 8
1 student scored 9
4 students scored 10
Total no. of pupils in year 7 class = 3 + 5 + 2 + 6 + 12 + 1 + 4 = 33 students
c. It is assumed that all the students in Mr Hassan's year 7 class took the test.
What is the slope of the line represented by the equation y = 4/5x- 3?
-3
-4/5
4/5
3
Answer:
m= 4/5
Step-by-step explanation:
The equation of the line is in slope-intercept form.
y=mx+b
where m is the slope and b is the y-intercept.
Basically, the number that is being multiplied by x is the slope, and the number added or subtracted from that is the y-intercept.
We are given the equation:
y= 4/5x -3
4/5 is the coefficient of x. 3 is being subtracted from 4/5x.
Therefore, the slope of the line is 4/5 and the y-intercept is -3.
The question asks us to find the slope of the line, so the answer is 4/5.
The slope of the line represented by the equation y = 4x/5 - 3 is 4/5.
Given that an equation y = 4x/5 - 3 we need to find the slope of the equation.
In the slope-intercept form of a linear equation (y = mx + b), "m" represents the slope of the line.
The slope determines how steep or shallow the line is. It also tells us the rate at which the line is rising or falling as we move along the x-axis.
In the given equation, the coefficient of "x" is 4/5. This is the slope of the line.
To understand this better, compare the equation with the slope-intercept form: y = mx + b.
In the given equation, m (the slope) is 4/5. It means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 4/5 (or decreases by 4/5 if the slope were negative).
So, the line rises (or falls) at a rate of 4/5 for every unit increase along the x-axis.
In this case, since the slope is positive, the line will rise as we move from left to right on the coordinate plane.
Graphically, the line with a slope of 4/5 would look like a rising line, making an angle with the positive x-axis, and moving upwards from left to right.
So, the slope of the line represented by the equation y = (4/5)x - 3 is 4/5.
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can someone please help me
Answer:
m = 20a = 48These are the answers.Step-by-step explanation:
1. m/-8 = -2.5
*-8 = *-8
m = -2.5*-8
m = 2.5*8
m = 20
2. 7/8a = 42
*8 *8
7a = 336
/7 /7
a = 336/7
a = 48
Hope this helped,
Kavitha
How might constructions prove to be useful in your life?
Step-by-step explanation:
Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.
is 32k+24=8(4k+3) true? a.True b.False
Answer:
a. True.
Step-by-step explanation:
32k + 24 = 8(4k + 3)
32k + 24 = 32k + 24
32k - 32k = 24 - 24
0 = 0
Since 0 does equal 0, the statement is a. True.
Hope this helps!
Answer:
[tex]\Large \boxed{\mathrm{a. \ True}}[/tex]
Step-by-step explanation:
[tex]32k+24[/tex]
[tex]\sf Factor \ out \ 8 \ from \ the \ expression.[/tex]
[tex]8(4k)+8(3)[/tex]
[tex]8(4k+3)[/tex]
[tex]32k+24=8(4k+3)[/tex]
[tex]\sf The \ equation \ is \ true.[/tex]
Divide each polynomial by a monomial. (4x^4+2x^3+2x^2)÷10x
Answer:
2/5x³ + 1/5x² + 1/5x
Step-by-step explanation:
You have to divide each term in the polynomial by the monomial.
(4x⁴ + 2x³ + 2x²)/10x
2/5x³ + 1/5x² + 1/5x
The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
(4x^4+2x^3+2x^2)÷10x
now,
we have to divide each term in the polynomial by the monomial.
so, we get,
(4x⁴ + 2x³ + 2x²)/10x
=(4x⁴/ 10x + 2x³/ 10x + 2x²/ 10x )
=2/5x³ + 1/5x² + 1/5x
Hence, The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.
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how to find the surface area and the volume of trapezoidal prisms? (need some formula)
Step-by-step explanation:
Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2
Area of a trapezoid is found with the formula, A=(a+b)/2 x h.
Answer:
To find the surface area, the amount of space on the outside of a solid, of a trapezoidal prism, you'll need to find the area of the trapezoid base and multiply it by two. You'll then add the area of the four rectangles to the area of the two bases. Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.
Which of the following are irrational numbers?
86
-29
88.80
[tex] \sqrt{46} [/tex]
Answer:
sqrt 46
Step-by-step explanation:
irrational numbers are numbers cannot be define in a fraction. sqrt of 46 will give you infinite decimal which could not be express in a fraction form.
An underwater canyon begins at 40 feet below sea level and is 105 feet deep. what is the elevation of the bottom of the canyon
Answer:
145 feet
Step-by-step explanation:
The computation of the elevation of the bottom of the canyon is shown below;
Given that
A = sea level
B = The point at which the canyon starts
C = Canyon bottom
AB = 40 feet
BC = 105 feet
Based on the above information
The AC or elevation of the canyon bottom is
AC = AB + BC
= 40 feet + 105 feet
= 145 feet
PLEASE HELP!!! offering 25 points brainiest and 5 stars with thanks
Answer:
.3
Step-by-step explanation:
P( defective) = number defective/ total
= 3/10
.3
Answer:
[tex]\huge\boxed{0.3}[/tex]
Step-by-step explanation:
Total CDs = 10
Defective CDs = 3
P(Defective) = 3/10
P(Defective) = 0.3
Does anyone know this
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people in the year 2000. To the nearest tenth of a present, by which percentage rate is the population expected to increase each year
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
A survey of 2690 musicians showed that 368 of them are left-handed. Find a point estimate for p, the population proportion of musicians that are left-handed.
Answer: 0.137.
Step-by-step explanation:
Let p be the population proportion of musicians that are left-handed.
Given: Sample size : n= 2690 [subset of population]
Number of musicians that are left-handed: x= 368
Then the sample proportion: [tex]\hat{p}=\dfrac{368}{2690}\approx0.137[/tex]
Since sample proportion is the best point estimate of the population proportion.
Hence, a point estimate for p, the population proportion of musicians that are left-handed is 0.137.
WILL GIVE BRAINLIEST
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
Given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down, which is also T₍₋₃, ₋₅₎, by transformation notation
Step-by-step explanation:
The coordinates of the point C is (1, -1)
The coordinates of the point C' is (-2, -6)
Therefore, the translation required to shift the point C from to point C' is found as follows;
The difference between the x, and y-coordinates of the points C and C' are given as follows;
Δx, C to C' = (-2 - 1) = -3
Δy, C to C' = (-6 - (-1)) = (-6 + 1) = -5
Therefore, the the transformation from C to C' it T₍₋₃, ₋₅₎
Which can be presented as, given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down.
If a translation of (x, y) + (x +6, y-10) is applied to
figure ABCD, what are the coordinates of D'?
B
O (-5,-2)
O (1, -12)
(4, -15)
O (-9, 6)
6
5
-32
2
3
х
D
с
The coordinates of the point D of the rectangle after the translation is given by D' ( 1 , -12 )
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the coordinates of the rectangle be ABCD
Now , the coordinate of the point D be D ( -5 , -2 )
And , the translation rule is ( x , y ) → ( x + 6 , y - 10 )
So , the point after translation be D'
where D' = D ( -5 + 6 , -2 - 10 )
The coordinates of D' = D' ( 1 , -12 )
Hence , the coordinates after translation is D' ( 1 , -12 )
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To estimate your average monthly salary, divide your yearly salary by the number of months in a year. Write and solve an equation to determine your yearly salary when your average monthly salary is $4,559.
Answer:
yearly salary = $54,708
Step-by-step explanation:
Let monthly salary be x
Let yearly salary be y
Let number of months be n
To estimate your average monthly salary, divide your yearly salary by the number of months in a year. This can be written as
x = y divided by n
[tex]x = \frac{y}{n}[/tex]
Therefore, writing an equation to determine yearly salary is the same as making the yearly salary 'y' the subject of the formula above:
[tex]x = \frac{y}{n}\\cross-multiplying\\n\ \times\ x= y\\y\ =\ nx[/tex]
where y = ???
x = $4,559
n = 12 months
[tex]y = 4,559\ \times\ 12 \\= \$\ 54,708[/tex]
Therefore yearly salary = $54,708
Onna received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.09 per pound. After buying the coffee, she had 39.55 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 5 pounds
Step-by-step explanation:
Original worth of gift card = $80
Balance on card after purchase = $39.55
Amount used for purchase = 80 - 39.55 = $40.45
Next let us determine how many pounds of coffee she bought as follows:
Price of coffee = $8.09 per pound
amount spent on coffee = $40.45
Lett the number of pounds of coffee she bought be x
$ 8.09 = 1 pound
$40.45 = x pounds
since $8.09 = 1 pound
[tex]\$\ 1 = \frac{1}{8.09}\ pounds[/tex]
[tex]\$\ 40.45 = 40.45 \times\ \frac{1}{8.09} \\= \frac{40.45}{8.09}\\ = 5\ pounds[/tex]
(20 POINTS!) If the point (x, y) is on the y-axis, which of the following must be true? x = 0 or y = 0
Answer:
x = 0
Step-by-step explanation:
because the x coords are still 0 and y is changing.
10+(-3)
What is the answer and how u get the answer?
Answer:
7
Step-by-step explanation:
This is so because (+) × (-) is (-).
Just like (+) × (+) is (+) and (-) × (-) is (-).
So 10 + (-3) = 10 - 3 = 7.
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]10 + ( - 3) \\ \\ (+) \: \times \: (- )= (- ) \\ so \: 10 - 3 \\ = 7[/tex]
Find m<LMN if m<LMT=23° and m<TMN=144°
Answer:
167°
Step-by-step explanation:
<LMN = <LMT + <TMN
23° + 144° = 167°
<LMN = 167°
Find the the domain codomain and range of the graph
Answer:
Domain: All Real numbers
CoDomain : All Real numbers
Range: [tex]\left\{y|y\geq 0 \right\}[/tex]; that is: Real numbers larger than or equal to zero
Step-by-step explanation:
Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.
The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity
But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.
23.
A company manufactures bracelets. The cost C (in dollars) of manufacturing n bracelets is given by the equation C = 8n + 500
The revenue R (in dollars) that is generated from selling n bracelets is given by the equation R = 35n - 0.1n?
The company breaks even when cost and revenue are equal. For which values of n does the company break even?
A. O 10 and 500
В.
25 and 200
C
20 and 250
D.
50 and 100
The values of n which the company break even are option (c) n = 20 and n = 250
How to determine the values of n at the break even point?From the question, the parameters are given as
Cost function, C(n) = 8n + 500
Revenue function, R(n) = 35n - 0.1n²
At the break even point, the functions C(n) and R(n) have the same value
This is represented as
C(n) = R(n)
Substitute the known values in the above equation
So, we have the following equation
8n+ 500 = 35n - 0.1n²
Collect the like terms
-0.1n² + 35n - 8n = 500
So, we have
-0.1n² + 27n - 500 = 0
Divide both sides by -0.1
n² - 270n + 5000 = 0
Factorize
(n -20)(n - 250) = 0
Solve for n
n - 20 = 0 and n - 250 = 0
This gives
n = 20 and n = 250
Hence, the company breaks even at n = 20 and n = 250
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weight to the nearest pound of 17 cats:10, 15, 9, 8, 11, 10, 9, 8, 13, 9, 12, 10, 13, 11, 9, 12, 10
Answer:
Step-by-step explanation:
+ si
the cost of renting a car for one day and driving m miles if the rate is $49 per day plus 5 cents per mile
Answer:
[tex]Total\ Rent = 49 + 5m[/tex]
Step-by-step explanation:
Given
Rent per day = $49
Addition = 5 cents per mile
Required
Determine the rent for a day and m miles
First, we need to generate a formula from the given parameters;
Let d represent number of days and m represent additional miles;
[tex]Total\ Rent = 49 * d + 5 * m[/tex]
[tex]Total\ Rent = 49 d + 5 m[/tex]
Solving for the rent for a day and m miles
We have that: d = 1 and m = m
Substitute these in the formula above
[tex]Total\ Rent = 49 * 1 + 5 * m[/tex]
[tex]Total\ Rent = 49 + 5m[/tex]
Hence, the total rent is
[tex]Total\ Rent = 49 + 5m[/tex]
Cos 3 A + COS5A + COS7A+ Cos 15 A = 4 COS 4A COS5A COS6A
Your question has been heard loud and clear.
Lhs = 2cos[5A+3A/2]cos[5A-3A/2]+2cos[15A+7A/2]cos[15A-7A/2]
=2cos4AcosA+2cos11Acos4A
=2cos4A[cosA+cos11A]
=2cos4A[2cos[11A+A/2]Cos[11A-A/2]
=2cos4A2cos5Acos6A
=4cos4Acos5Acos6A=Rhs
Thank you
Simplify the expression where possible. (r^3)^ -2
Answer:
Step-by-step explanation:
We apply the properties of the power.
[tex]\left(r^3 \right)^{-2}=r^{3*(-2)}=r^{-6}=\dfrac{1}{r^6}[/tex]
Answer:
r^-6 OR 1 / (r^6)
Step-by-step explanation:
For this expression, we can use exponential power rules to simplify.
Power to a power, you multiply the exponents.
So, (r^3)^-2 == r^-6
We can use the fact that negative exponents will be the base to the power in the denominator.
r^-6 == 1/(r^6)
Cheers.
5(5x+3) -4(2x-9)=0
pls help
Answer:
x = -3
Step-by-step explanation:
See steps of solution:
5(5x+3) -4(2x-9)=0 ⇒ parenthesis25x + 15 - 8x + 36 = 0(25x -8x) + (15 + 36) = 0 ⇒ grouping like terms17x +51 = 017x = -51 ⇒ subtract 51 from both sidesx = -51/17 ⇒ divide both sides by 17x = -3 ⇒ answerAnswer is -3
Answer:
x = -3
Step-by-step explanation:
5(5x+3) - 4(2x-9) = 0 Multiply out.
5*5x + 5*3 - 4*2x + 36 = 0
25x + 15 - 8x + 36 = 0 Combine like terms.
25x - 8x + 15 + 36 = 0
17x + 51 = 0 Subtract 51 from both sides.
17x = - 51 Divide each side by 17.
17x/17 = -51/17
x = - 3
i need help (3/4)x+2=(3/8)x-4
Answer:
x = -16
Step-by-step explantion:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps!
(・∀・(・∀・(・∀・*)
Express the interval shown on the number line in inequality notation.
==============================================
Explanation:
The left endpoint is -2. The right endpoint is 10. Both endpoints are open holes, meaning we do not include them as part of the green shaded solution region. If x is a solution, then the solution can be described as [tex]-2 < x < 10[/tex] which converts to the interval notation [tex](-2, 10)[/tex]. The curved parenthesis says "do not include the endpoint".
Note: this is not ordered pair notation (x,y). Unfortunately math tends to reuse symbols so it might be a bit confusing at first.