Answer:
4 electric guitars and and 5 acoustic guitars were sold.
Step-by-step explanation:
Electric guitars: [tex]x[/tex]
Acoustic guitars: [tex]y[/tex]
[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]
--------------------------------
[tex]y + x = 9\\339y + 479x = 3611[/tex]
--------------------------------
[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]
--------------------------------
[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]
--------------------------------
[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]
Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].
[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]
Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.
Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.
21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to
1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?
What is the area of the figure?
Which table represents a relation that is not a funtion?
Answer:
D
Step-by-step explanation:
because in D one input value (3) has 2 different assigned output values (0 and -4).
that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).
5. What is the value of x and y?
a.
b.
c.
d.
Answer:
30[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The triangle given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]
a represents the side length that sees hypotenuse and it is 30 so x and y
30[tex]\sqrt{2}[/tex]
How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Check the picture below.
so, let's get the volume of the prism.
then let's get the volume of the smaller cube.
then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.
[tex]\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes[/tex]
Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.
Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
What is the range of the fallowing numbers 29, 47, 32, 36, 57, 20, 39, 38, 52, 51, 28, 24, 44, 40, 45, 35, 50, 50, 32, 31
Answer: 37
Step-by-step explanation:
range = max - min
max = maximum value in a data set
min = minimum value in a data set
Maximum value: 57
Minimum value: 20
Range: 37
Answer:
37
Step-by-step explanation:
First of all, let's define what range is. The range is the highest value of a set of numbers minus the lowest value of the same set. In this case, your highest value is 57 and your lowest value is 20. The sum would be 57 - 20 which would equal 37 and that is your answer.
Hope I helped you out :)
simplified form of 2460−78+6884
Answer:
4502
Step-by-step explanation:
6884+78=6962
6962-2460=4502
Triangle Congruence, Flowchart Proof (Level1) _ 10th Grade - Int.1 (almost complete)
Answer:
Step-by-step explanation:
The points P (4, 1) and Q (-2, 4) are
reflected in line y = 3. Find the co-ordinates
of P', the image of P and Q', the image of
Q.
Step-by-step explanation:
hope it will help you
thank you
Answer:
Step-by-step explanation:
The line y = 3 is a horizontal line.
In order for us to reflect these two points, we need to draw our horizontal line and graph those points on the coordinate plane. Then you count the number of points that your original coordinates are away from the horizontal line. Once you have got that down, you count the same number on the other side (over line) and then plot and label your new coordinates.*View the attached graph*
Hope this helps!
the quotient of 254 and k is 94
Answer:
k is 23876
Step-by-step explanation:
you have to multiply 254 and 94 by eachothe then that's your answer!
What is the volume of the rectangular prism?
30 points
Answer:
520/9 = 57.77....8
Step-by-step explanation:
4x 10/3 x 13/3= 130/9 x4=520/9
Answer:
57 7/9
Step-by-step explanation:
4*4 1/3*4 1/3 = 57 7/9
She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
So, there are seven choices, etc, so the equation is
7x6x7x2
because there are multiple ways
so, 588
Find the surface area of the can of milk at the right. [tex] \bold{Use \: π = 3.14}[/tex][tex] \red{*}[/tex]
The milk can is in the shape of a cylinder.
The surface area of cylinder is defined as the sum of curved surface and the two circular bases of the cylinder;
ㅤㅤㅤ➙ (curved surface ) + 2(base area )
ㅤㅤㅤ➙ 2πrh + 2πr²
ㅤㅤㅤ➙ 2πr( h + r )
Here, in this question we have;
radius ( r ) = 2/2 = 1 cm height ( h ) = 6 cmTherefore, Surface Area ( S.A ) :
➝ S.A = 2πr( r + h )
➝ S.A = 2 × π × 1 ( 1 + 6 )
➝ S.A = 2π ( 7 )
➝ S.A = 2 × 3.14 × 7
➝ S.A = 14 × 3.14
➝ S.A = 43.96cm²
Answer:
Surface area of cylindrical milk can is 43.96cm²
Step-by-step explanation:
Given :-
height of can of milk :- 6cm diameter :- 2 cm , radius :- 1cmTo find:-
Surface area of milk canSolution:-
formula for surface area cylindrical milk can :-
2πr(h+r)
putting the known values ,
2 × 3.14 × 1 (6+1) cm²
Surface area :- 43.96 cm²
y=4x-1+
y = 3x +7
i don’t know how to do this and i need steps on how
What is the name of the shape depicted in the graph below?
A. Rose
B. Cardioid
C. Limaçon
D. Lemniscate
The name of the shape depicted in the graph below is rose, so the answer is A.
GraphsA rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.
In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.
Learn more about graphs in https://brainly.com/question/14375099
The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.
Answer:
= - 9/8
Step-by-step explanation:
(-13/5) * x = 117/40 multiply both sides by - 5/13
x = 117 / 40 * - 5/13 = - 9/8
If m∠4 = 90°, find the m∠5 and m∠3.
Answer:
∠5 = 90°
∠3 =90
Step-by-step explanation:
∠4 + ∠5 = 180 {Linear pair}
90 +∠5 = 180
∠5 = 180 - 90
∠5 = 90°
∠3 = ∠4 {Verically opposite angles}
∠3 = 90°
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry
Here Allie mistook the x and y axis completely oppositely.
→ First should be the x axis and then the y axis, (x, y)
Answer:
Step-by-step explanation:
Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.
Point A
4 units from the y-axis ⇒ x = 4
6 units from the x-axis ⇒ y = 6
A = (4, 6)
Point B
2 units from the y-axis ⇒ x = 2
9 units from the x-axis ⇒ y = 9
B = (2, 9)
Point C
0 units from the y-axis ⇒ x = 0
4 units from the x-axis ⇒ y = 4
C = (0, 4)
Point D
Allie has mixed up the x and y coordinates of D.
7 units from the y-axis ⇒ x = 7
3 units from the x-axis ⇒ y = 3
D = (7, 3)
If the expression √⋅√ is written as , what is the value of ?
Answer:
rhe base a for u
Step-by-step explanation:
kk
What integer best represents
ascending 800 feet?
Answer:
positive interger.....
4/3 of a number is more than 3/4 of its number by 1 . find the number
4/3 of a number is more than 3/4 of its number by 1 . find the number .
Given : -4/3 of a no. is more than 3/4 of its no. by 1To Find : -We have to find the number .To Assume : -Let the no. be xSo Solution goes from here :According to question 4/3 of a number is equal to :
[tex] \longmapsto \: \frac{4}{3} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{4x}{3} [/tex]
According to question 3/4 of a number is equal to :
[tex]\longmapsto \: \frac{3}{4} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{3x}{4} [/tex]
Now , forming equation :
As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :
[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]
Now , transposing 3x/4 to left hand side :
[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]
Now , taking L.C.M :
[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]
Now by calculating :
[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]
Now Subtracting 16x with 9x and transposing 12 to right hand side :
[tex]\longmapsto \: 7x = 12[/tex]
So ,
[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]
Therefore , the number is 12/7 .#[tex] \sf{Keep \: Learning }[/tex]A(n) _____ is a tool used to measure or draw angles.
Mark spent $35.50 at the mall. He bought one sweater and some socks. The sweater
cost $20.50 and each pair of socks cost $2.50 each. How many pairs of socks (s) did
Mark buy?
What are the coordinates of point B on AC such as that ratio of AB to BC is 5:1?
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation:
Please answer this question.
Answer:
B
Step-by-step explanation:
given that x and y vary inversely then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y is 24 when x is 8 , then
24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )
192 = k
y = [tex]\frac{192}{x}[/tex] ← equation of variation
when y = 18 , then
18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )
18x = 192 ( divide both sides by 18 )
x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]
Answer:
Step-by-step explanation:
Write the inverse variation
y = k/x
Solve for k
y = 24
x = 8
y = k/x Substitute the givens into this equation
24 = k/8 Multiply both sides by 8
8*24 = k
k = 192
Solve for x when y = 18
y = k/x Multiply both sides by x
xy = k Divide by y
x = k/y
x = 192/18
x = 10 2/3 The answer is given as an improper fraction.
x = (10*3 + 2)/3
Answer: x = 32/3
Solve one fourth ÷ 7 = ___. one eighth alt=one twenty fifth one twenty eighth one thirtieth
Answer:
[tex]\frac{1}{28}[/tex]
__________________________________________________________
SolveWhen doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.
So:
[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.
28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.
__________________________________________________________
Questions?Ask in the comments box.
An earned run average (ERA) in baseball is the average number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the new ERA?
Applying a subtraction operation, it is found that his new ERA was of 3.17.
What is the relation between his two ERA's, in last year's and this year?ERA is a baseball concept, but understanding of baseball is not relevant to this question.
One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:
ERA = 3.91 - 0.74 = 3.17.
His new ERA was of 3.17.
More can be learned about subtraction operations at https://brainly.com/question/2475734
find the value of 9 and 4
Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d
In monthly sales would mr. gonzalez need to have $100000
Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by
What is the formula for monthly earning?Monthly earnings=a+bx
Where a =his annual salary (fixed),
b = the percentage of sales commission and
X =represents the volume of sales made each year.
Therefore When Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to
$60000 = $18000 + 0.04X
$60000 - $18000 = 0.04X
$48000 = 0.04X
0.04X = $1200000
X = $48000/0.04=12000000
X=$12000000
Therefore, his monthly sales is given by his earnings divided evenly each month is equal to
$1200000/12=$100000
So the option c is correct.
To learn mpre about the earning visit:
https://brainly.com/question/25793394
Answer:c
Step-by-step explanation: