Answer:
$ 159.95
Step-by-step explanation:
139.95 x 19 = 2,659.05 In total the 19 clarinets = $ 2,659.05
$ 4,578.45 - $ 2,659.05 = $ 1919.40 In toal the 12 trumpets are = $ 1,919.40
$ 1,919.40 ÷ 12 = $ 159.95 The trumpets cost $ 159.95 each.
Hope this helps you out : )
If the music store sold 12 trumoets and 19 clarinets last month and clariners sell for $139.95 and the store made $4,578.45. The price of a trumpet is $159.95.
What is the price?Let's denote the price of a trumpet as "t" dollars.
The revenue from trumpet sales would be 12 times the price of a trumpet (12t) and the revenue from clarinet sales would be 19 times the price of a clarinet ($139.95):
Revenue from trumpets + Revenue from clarinets = Total revenue
12t + 19 * $139.95 = $4578.45
Now solve for the price of a trumpet (t):
12t + 19 * $139.95 = $4578.45
12t + $2659.05 = $4578.45
12t = $4578.45 - $2659.05
12t = $1919.4
t = $1919.4 / 12
t ≈ $159.95
Therefore the price of a trumpet is $159.95.
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Which lines are parallel? Check all that apply.
89.5°
91.51
88.5°
89.5°
90.5°
The lines that are parallel to each other are as follows;
b║fc║eHow to know lines that are parallel from the angles?When parallel lines are cut by a transversal, angles relationship are formed.
This angle relationship includes corresponding angles, alternate angles, vertical angles and many more.
Therefore, the lines that are parallel are as follows;
b║f : If you use alternate angle theorem you will notices line b and f are parallelc║e: using alternate and corresponding angle theorem you will notice both line c and e are parallel.learn more on parallel lines here: https://brainly.com/question/10652739
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31. The bus fare in a city is $1.25. People who use the bus
have the option of purchasing a monthly discount pass for
$15.00. With the discount pass, the fare is reduced to $0.75.
Determine the number of times in a month the bus must
be used so that the total monthly cost without the discount
pass is the same as the total monthly cost with the discount pass.
The bus must be used 30 times in a month for the total monthly cost without the discount pass to be the same as the total monthly cost with the discount pass.
Explanation:The mathematical problem deals with determining the number of times one must take a bus ride for a monthly discount pass to be as cost-effective as individual fare payments. To solve it, we must set up an equation based on the cost of bus rides. Let's denote the number of bus rides as 'n'.
Without the pass, each ride is $1.25, so n rides would cost 1.25n dollars.
With the pass, each ride is $0.75 and you also need to pay $15 for the monthly pass, so n rides would cost 0.75n + 15 dollars.
To find out the break-even point, we set these two expressions for the total cost equal to each other:
1.25n = 0.75n + 15
Solving this equation gives us:
0.5n = 15, n = 15/0.5 = 30.
Therefore, the bus must be used 30 times in a month for the total monthly cost without the discount pass to be the same as the total monthly cost with the discount pass.
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evaluate the problem below -4 1/6 + 5 2/3
Answer:
3/2 (or 1 1/2)
Step-by-step explanation:
-4 1/6 + 5 2/3 (express as improper fractions)
= -25/6 + 17/3 (convert fractions common denominator i.e 6)
= -25/6 + (17/3)(2/2)
= -25/6 + (17 x 2)/6
= -25/6 + 34/6
= 9/6
= 3/2
=1 1/2
explain how reading the digits ro the right of the decimal point and knowing the name of the least place value help yoi read a decimal number.use examples .604 and 1.604 in your explanation
Final answer:
Reading decimal numbers requires understanding the places to the right of the decimal point: tenths, hundredths, thousandths, etc. The least significant place value—which in 0.604 is the thousandth place—helps in reading, rounding, and performing operations like moving the decimal point or using scientific notation.
Explanation:
Understanding how to read decimal numbers is important in mathematics. When reading the digits to the right of the decimal point, the name of each place value position helps you determine the value of the digit. For example, in the number 0.604, the digit '6' is in the tenth place, which means it represents six tenths, the digit '0' is in the hundredth place, acting as a placeholder, and the '4' is in the thousandth place, representing four thousandths. Similarly, in 1.604, the '1' is in the ones place, the '6' is in the tenth place, the '0' is a placeholder in the hundredth place, and the '4' is in the thousandth place.
Knowing the least place value is also important when rounding or when dealing with operations that affect the decimal point. For instance, if we need to move the decimal point or deal with scientific notation, recognizing the least significant digit's place value informs us how to maintain numerical accuracy. If you understand that the least significant digit in 1.604 is the '4' in the thousandth place, you would keep the decimal up to three places if you were to round or shift the decimal in calculations.
The height of a cone is twice the radius of its base. What expression represents the volume of the cone, in cubic units?
A)2/3πx^3
B) 4/3πx^2
C) 2πx^3
D) 4πx^3
Answer:
A
Step-by-step explanation:
The general formula for the volume of a right cone is as follows (also see attached):
V = (1/3) π r² h; where r = radius of base and h = height
In this case, it is given that r = x
also given :
height = 2 (base radius)
or
h = 2x.
Hence the formula becomes:
V = (1/3) π r² h
V = (1/3) π x² (2x)
V = (2/3) π x³ (answer A)
What is the GCF of 36, 48, and 60?
Answer:
12
Step-by-step explanation:
51pts! which expression represents a difference of squares?
A. 81-49y^2
B. 25k-64
C. t^2+100
D. 4x^2-16x
Answer:
A.
Step-by-step explanation:
81 - 49y^2 = (9 - 7y)(9 + 7y)
FOIL the equation.
(9 - 7y)(9 + 7y)
81 + 63y - 63y - 49y^2
81 - 49y^2
The correct answer is option A. 81 - 49y².
What are different squares?It exists easily identified by looking at the numbers, the number shows a perfect square, and the variable y exists also squared
That is 9² = 81 and 7² = 49
Also, the sign in-between them must be a negative sign, when the expression consists of the above, then it provides a different square.
81 - 49y²
9² - 7²y²
(9 - 7y)(9 +7y)
Opening back the parenthesis to verify our answer
(9 - 7y)(9 +7y)
9(9+7y) -7y(9+7y)
81 +63y -63y -49y²
81 - 49y²
Therefore, the correct answer is option A. 81 - 49y².
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[tex] \sqrt[3]{216} [/tex]
reduce the index of the radical and exponent with 3, rhen you get your answer, 6
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
<-1, -1>, square root of two
<1, 1>, square root of two
<1, 1>, 2
<-1, -1>, 2
Answer:
<1 ,1>..., square root of two
Step-by-step explanation:
Component of vector PQ...,
; Q - P...where you subtract the x coordinate of Q by the x coordinate of P and the same for the y coordinate
; <(6-5),(9-8)>
; < 1,1 >
And the magnitude of PQ...,
;square root of( 1^2 + 1^2 )
;square root of 2
Final answer:
The component form of vector PQ is <1, 1>, and the magnitude is the square root of 2, thus the correct answer is <1, 1>, square root of 2.
Explanation:
To find the component form and magnitude of vector PQ, we calculate the difference in the x-coordinates and the y-coordinates of points P and Q. The component form of a vector is obtained by subtracting the coordinates of the initial point from the coordinates of the terminal point. In this case, the initial point is P(5, 8) and the terminal point is Q(6, 9).
The component form of vector PQ is therefore:
Vector PQ = (Qx - Px, Qy - Py)
Vector PQ = (6 - 5, 9 - 8)
Vector PQ = <1, 1>
Next, to find the magnitude of vector PQ, we use the Pythagorean theorem, which is the square root of the sum of the squares of the components:
Magnitude of PQ = √(1^2 + 1^2)
Magnitude of PQ = √(2)
Magnitude of PQ = √2
Therefore, the correct answer is <1, 1>, √2.
Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.
Answer:
Step-by-step explanation:
an equation is : Use the point-slope formula.
y - y_1 = m(x - x_1) ; m : the slope when : x_1 = -3 and y_1 = 7
- 2 ×m = - 1 because this line is perpendicular to the line y= -2x-5 when the slope is -2
so : m= 1/2
an equation is : y - 7 =(1/2)(x+3)
Answer:
The desired equation is
y = (1/2)x + 17/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal of -2: m = 1/2.
Start with y = mx + b.
Substituting 7 for y, 1/2 for m and -3 for x, we get:
7 = (1/2)(-3) + b. Then 7 = -3/2 + b, so that b = 17/2.
The desired equation is
y = (1/2)x + 17/2
ANSWER PLS ITS URGENT NEED DONE IN ONE MIN BUS IS COMING!!!! pls dont let me fail!!!!! (will mark as brainliest)
(answer the circled ones) its quadratic equation factoring
Answer:
8.) x = 5, x=-12
9.)x = 5, x = -8
10.)x = -1/5, x = -2
Hope I helped :)
Answer:
10. -2, -⅕ = x
9. -8, 5 = x
8. -12, 5 = x
7. -5, 6 = x
Step-by-step explanation:
10. [tex]5{x}^{2} + 11x + 2 = 0 \\ \\ (5{x}^{2} + x) + (10x + 2) = 0 \\ x(5x + 1) + 2(5x + 1) \\ \\ (x + 2)(5x + 1) = 0 \\ \\ -2, \: - \frac{1}{5} = x[/tex]
9.
[tex]2{x}^{2} + 6x - 80 = 0 \\ \\ (2{x}^{2} + 16x) - (10x - 80) = 0 \\ 2x(x + 8) -10(x + 8) = 0 \\ \\ (x + 8)(2x - 10) = 0 \\ \\ -8, \: 5 = x[/tex]
8.
[tex] {x}^{2} + 8x - 65 = x - 5 \:→ {x}^{2} + 7x - 60 \\ \\ ({x}^{2} - 5x) + (12x - 60) \\ x(x - 5) + 12(x - 5) \\ \\ (x + 12)(x - 5) = 0 \\ \\ 5, \: -12 = x[/tex]
7.
[tex] {x}^{2} = x + 30 → - {x}^{2} + x + 30 \\ \\ (-{x}^{2} - 5x) + (6x + 30) \\ -x(x + 5) + 6(x + 5) \\ \\ -(x - 6)(x + 5) = 0 \\ \\ -5, \: 6 = x[/tex]
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Marco has a piece of wood that measures 9 x 1/10 + 6 x 1/100 + 4 x 1/1000 how can this measurement be written as a decimal? you miss ONE DAY OF SCHOOL
Answer:
The decimal number is 0.964
Step-by-step explanation:
we have
[tex]9(\frac{1}{10})+ 6(\frac{1}{100})+4(\frac{1}{1,000})[/tex]
step 1
Multiply each fraction by the whole number
[tex](\frac{9}{10})+ (\frac{6}{100})+(\frac{4}{1,000})[/tex]
step 2
Convert each fraction in a decimal number
Remember
Move the decimal point to the left as many places as there are zeros in the factor.
Move the decimal point one step to the left (10 has one zero).
Move the decimal point two steps to the left (100 has two zeros)
Move the decimal point three steps to the left (1000 has three zeros)
[tex]0.9+0.06+0.004[/tex]
step 3
Adds the number
[tex]0.964[/tex]
Suppose karl uses 5 cups of tomatoes how many salqds can he make? Write a division equation and multiplication equation
Assuming one salad requires 1 cup of tomatoes, Karl can make 5 salads as shown by the division equation 5 cups / 1 salad = 5 salads. The multiplication equation 5 salads x 1 cup = 5 cups demonstrates the amount of tomatoes needed for 5 salads.
Explanation:To properly answer this question, we first need to know the number of cups of tomatoes required to make one salad. However, if we suppose that one salad requires 1 cup of tomatoes, then the division equation is 5 cups / 1 salad = 5 salads. This equation illustrates that Karl can make 5 salads with the amount of tomatoes he has.
On the other hand, the multiplication equation would be 5 salads x 1 cup = 5 cups. This equation pertains to how many cups of tomatoes are needed to make 5 salads. Please note that these equations assume that 1 cup of tomatoes is needed for a single salad, but the proportions may vary depending on the actual recipe.
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Karl can make 5 salads using 5 cups of tomatoes.
Assuming Karl makes salads that require 1 cup of tomatoes each, we can determine the number of salads he can make using division:
Number of salads = Total tomatoes (cups) / Tomatoes per salad (cups)
Number of salads = 5 cups / 1 cup/salad
Therefore, Karl can make 5 salads using 5 cups of tomatoes.
A multiplication equation can be used to express the relationship between the number of salads, the number of tomatoes per salad, and the total number of tomatoes:
Total tomatoes (cups) = Number of salads × Tomatoes per salad (cups)
5 cups = 5 salads × 1 cup/salad
Both equations demonstrate the same relationship between the number of salads, the number of tomatoes per salad, and the total number of tomatoes.
Find the distance between P(2, 8) and Q(5, 3).
Answer:
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (5-2)2+(3-8)2
d = √ ((3)2+(-5)2)
d = √ (9+25)
d = √ 34
The distance between the points is 5.8309518948453
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(2+5)/2=3.5
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(8+3)/2=5.5
The midpoint is: (3.5,5.5)
Graphing the two points, midpoint and distance
P1 (2,8)
P2 (5,3)
Midpoint (3.5,5.5)
The length of the black line is the distance between the points (5.8309518948453)
Find the slope of the line connecting the two points
Slope = (Y2-Y1) = (3-8) = (-5) = -1.66666666666667
(X2-X1) (5-2) (3)
Find the equation of the line passing through the two points
The general equation for a straight line is
y = mx + b
Where m represents the slope of the line which we found in the previous step to be -1.66666666666667
y = -1.67x + b
We substitute x and y for the values from one of our points (2,8)
8 = -1.67×2 + b
8 = -3.33 + b
8--3.33 = b
11.33 = b
Knowing both b and m, we can contruct the equation of the line
y= -1.67x+ 11.33
X and Y intercepts
The x-intercept is a point on the graph where y is zero
Using the equation we found in the previous step and substituting zero for y
y= -1.67x+ 11.33
0= -1.67x+ 11.33
1.67x= 11.33
x= 11.33/1.67 = 6.80
The x intercept for this straight line is 6.80
The y-intercept is a point on the graph where x is zero
Using the equation we found in the previous step and substituting zero for x
y= -1.67×0+ 11.33
y= 11.33
The y intercept for this straight line is 6.80
References
refernce image showing the distance between two points on the xy plane
Step-by-step explanation:
The distance between the two points will be √34. The correct option is c
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
The distance (d) between two points (x₁,y₁) and (x₂,y₂) is given by the formula:-
d = √ ((X₂-X₁)²+(Y₂-Y₁)²)
d = √ (5-2)²+(3-8)²
d = √ ((3)²+(-5)²)
d = √ (9+25)
d = √ 34
Therefore, the distance between the two points will be √34. The correct option is c
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Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
F.3
G.4
H.5
J.8
Answer:
h
Step-by-step explanation:
80-35=45
4days x10=40
leaving 5 dollars left so u need another week to save 5 dollars more
in total of 5 weeks
The answer is She has to work at least for 4.5 to be able to buy the bicycle i.e x≥4.5
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: price of the bicycle is $80 and she has $35 in hand
If she earns $10 in a week then let x weeks be the minimum number of weeks she has to work then we have
x= 45/10
=4.5 weeks
Hence, She has to work at least for 4.5 to be able to buy the bicycle
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Seth went to sticker station.he bought 1 sheet of 100 ,4 strips of 10 , and 6 single soccer stickers, and he bought 8 strips of 10 and 3 single animal stickers. How many stickers did Seth buy?
Answer:
229
Step-by-step explanation:
100+40+6+80+3
ok why is your math so easy
Which graph of ordered pairs shows a proportional relationship?
Answer:
c
Step-by-step explanation:
Graph C of ordered pairs shows a proportional relationship.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
What is a proportional relationship on a graph?A proportional relationship is one where there is multiplying or dividing between the two numbers. A linear relationship can be a proportional one (for example y=3x is proportional), but usually, a linear equation has a proportional component plus some constant number (for example y=3x +4).
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simplify 20+3xy-3+4y^2+10-2y^2
Divide. Do not round your answer.
52.72 - 8
Answer:
6.59
Step-by-step explanation:
52.72 ÷ 8 = 6.59
So the answer is 6.59
5. Point M is the midpoint of segment AB. The coordinates of
point A are (-8, 3) and the coordinates of M are (-2, 1).
What are the coordinates of point B?
Answer:
(4, -1)
Step-by-step explanation:
Since it takes negative two to get from 3 to 1, you also have to deduct 2 from 1, which is -1 [y-coordinate]. Now, since it takes six to get from -8 to -2, you also have to add 6 to -2, which is 4 [x-coordinate].
So, point B is (4, -1).
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Chandresh has several fishing rods that she would like to pack in boxes. One box is shown below.
Which fishing rod will fit in the box shown?
A. 17-inch fishing rod
B. 24-inch fishing rod
C. 27-inch fishing rod
D. 32-inch fishing rod
Answer: A, 17 inch
The box is 21 inches long, anything longer and it won't fit. 17 inch is the only thing shorter than 21.
Answer:
the green means its right at the top
Step-by-step explanation:
Evaluate expression using the value given for the variable
7b - 2a, when a = -3 and b = 4
Answer:
34
Step-by-step explanation:
Substitute the given values for a and b into the expression
7(4) - 2(- 3) = 28 - (- 6) = 28 + 6 = 34
A bus has 40 seats . There are as many adults as children riding the bus so there are
Answer:
20 children and 20 adults
Step-by-step explanation:
20 + 20 = 40
Answer:
20 adults 20 children
Step-by-step explanation:
if theres the same amount of children and adults just do 40/2
As lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes. How many cubic centimeters of water does it fill in 1 minute?
Answer:
2 cubic centimeters per minute
Step-by-step explanation:
8 cubic centimeters filled per 4 minutes
divide 8 by 4 = 2
2 cubic centimeters per minute
Answer: 2 cubic centimeters
Step-by-step explanation:
Given : As lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes.
i.e. Time taken to fills 8 cubic centimeters of water = 4 minutes
By UNITARY METHOD, we have
Amount of water it fills in 1 minute (i.e. Unit rate) = [tex]\dfrac{\text{8 cubic centimeters }}{\text{4 minutes}}[/tex]
= [tex]\dfrac{8}{4}=2[/tex] cubic centimeters
Therefore, it fills 2 cubic centimeters in 1 minute.
Hence, the correct answer is 2 cubic centimeters.
what is equivalent to the square root of -98
Answer:
7√2 i
Step-by-step explanation:
√(-98)
=√{(-1) .98}
=√(-1 . 2 . 7²)
=√-1 .√2 . √7²
= i . √2 . 7 [∵√-1 = i ]
=7√2 i
Answer:
[tex]\large\boxed{\sqrt{-98}=7\sqrt2\ i}[/tex]
Step-by-step explanation:
[tex]\sqrt{-98}=\sqrt{(-1)(49)(2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt2\qquad\text{use}\ \sqrt{-1}=i\ -\text{an imaginary unit}\\\\=i\cdot7\cdot\sqrt2\qquad\sqrt{49}=7\ \text{because}\ 7^2=49\\\\=7\sqrt2\ i[/tex]
look at the attached file.
please show your work on how you got the answer
Answer:
D
Step-by-step explanation:
[tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x+4}{2x^2+4x}[/tex]
Factor out 2 on the numerator and 2x on the denominator.
= [tex]\frac{2(x+2)}{2x(x+2)}[/tex]
Cancel the factor (x + 2) on the numerator/ denominator
= [tex]\frac{2}{2x}[/tex] ← cancel the 2 on numerator/ denominator
= [tex]\frac{1}{x}[/tex] : x ≠ 0
Julia recorded the number of trips each of his classmates made to fast food restaurants last week in the dit plot below which of the following would be the best measure of center
Mean absolute deviation of the following would be the best measure of center. Option A is correct.
What is a boxplot?A boxplot is a visual representation of a data set's dispersion and centers.
The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.
A box plot is a graph that allows us to readily compare the median number of teeth in mammals and reptiles.
The scatter plot below shows how many visits to fast food establishments each of his classmates made throughout the previous week.
The best indicator of the center would be the mean absolute deviation of the following.
Hence option A is correct.
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If g(x) = x2 + 3, find g(4).
011
19
16
08
Answer:
11
Step-by-step explanation:
257
What names apply to this number
Answer:
Step-by-step explanation:
Whole, integer, rational, real
If h(x) = 6 - X, what is the value of (10)
Answer:
-4 = h(x)
Step-by-step explanation:
[tex]6 - 10 = -4[/tex]
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