In linear equation, The solution to this system is (80, 120)
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).The following system of equations represents the given situation
x + y = 200
x = y - 40; substituting x from this equation to the first:
y - 40 + y = 200
2y = 240
y = 120
Corresponding value of x:
x = 120 - 40
x = 80
Learn more about linear equation
brainly.com/question/11897796
#SPJ13
The point (8,-15) is on the terminal side of an angle 0. What is sin 0
The value of sinθ is -15/17
From the question, we have
the point (8, -15) is on the terminal side of an angle [tex]\theta[/tex].
the point (8, -15) lies in the fourth quadrant
Using Pythagoras theorem,
hypotenuse = √(8² + 15²) = 17
Sine ratio is the ratio of perpendicular side to hypotenuse side.
sinθ = -15/17
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
To learn more about addition visit: https://brainly.com/question/680614
#SPJ1
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
Write the equation of a sine function given the following key features:
Key Features
Amplitude: 3
Period: 3pi
Phase Shift: pi/8
Vertical Shift: -2
The equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
What are trigonometric functions?The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is the following specifications for a sine wave -
Amplitude: 3
Period: 3π
Phase Shift: π/8
Vertical Shift: -2
The general equation for sine wave is -
y = A sin(ωx + Ф) + k
Now, we know -
ω = 2π/T
ω = 2π/3π
ω = 2/3
And -
A = 3
Ф = π/8
k = - 2
y = 3sin[(2/3)x + π/8) - 2
Therefore, the equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
To solve more questions on trigonometry, visit the link below-
brainly.com/question/27926943
#SPJ1
Jenna has 6 packs of pencils. to find the answer to how many pencils she has to write
6x7 =(3x7) + ( 6) x7)
6x7 = ..........+ _________-
6x7 = 42
If Jenna has 6 packs of 7 pencils. to find the answer to how many pencils she has to add 7 + 7 + 7 + 7 + 7 + 7
how to write the number of pencil in another form6 stacks of 7 pencils means that each stack contains 7 pencils
since there are 6 stacks then adding each stack will give
7 + 7 + 7 + 7 + 7 + 7
= 2( 7 + 7 +7 )
= 2 * ( 3 * 7 )
= 6 * 7
42
Learn more about distributive property of multiplication at:
https://brainly.com/question/29403406
#SPJ1
Use the drawing tools to form the correct answer on the graph.
These equations represent functions p and q:
p(x)=2x+3
q(x)=1/2x-2
The graph of (p − q)(x) is shown.
Plot a point at the ordered pair that represents (p − q)(2) on the graph of the combined function.
Answer:
The point should be plotted at (5, -1).
Step-by-step explanation:
Tickets for an adult cost 4 times more than a child. If they one adult and one child got a ticket and paid $20 for tickets total how much was each ticket.
this is a similar problem to the one on my test and i need to know the step on how to do it.
Answer:
One adult ticket is $16, and one child ticket is $4
Step-by-step explanation:
Let A be the price for an adult ticket
Let C be the price for a child ticket
First write out the equations based on the given information
A = 4C
A + C = 20
Since we know that A is the same as 4C, you can sub in 4C into A + C = 20
4C + C = 20
5C = 20
C = 4
You can now sub in C = 4 into A + C = 20
A + 4 = 20
A = 16
Therefore, an adult ticket costs $16, and one child ticket is $4
10) Chris invested $5,500. The investment had a simple interest rate of 3.5%. If he plans to leave the
investment alone for 12 years, how much will he have total in the account at the end of the 12 years?
Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.
According to the question,
We have the following information:
Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.
Now, we know that the following formula is used to find the simple interest on an investment:
Interest = principal*rate*time/100
Principal = $5500
Rate = 3.5
Time = 12 years
Interest = (5500*3.5*12)/100
Interest = $2310
Now, the total amount in his account will be:
5500+2310
$7810
Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.
To know more about simple interest rate here
https://brainly.com/question/7279636
#SPJ1
Harris painted 3 times as many pictures as Xaden painted. Xaden painted 11 pictures. Select the equation that represents this situation. 3 x h = 11 0 ÷ h = 11 h = 11 x 3 h ÷ 11 = 30
Answer:
h=11x3
Step-by-step explanation:
trust me, I have done this problem already
Line segment tv bisects angle stu. the measurement of angle stv is equal to (1/4x+8) degrees and the measurement of angle utv is (x+2) degrees. find the measurement of angle stu
The measurement of ∠STU is 20°.
Define Angle
When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.
Components of an Angle
An angle is composed of the arms and the vertex as its two basic components:
The arms of the angle: The arms of the angle are the two rays that combine to form it at a common point.Point of the angle: The two rays share a vertex as a common terminus.Given, ∠STU = [tex](\frac {1}{4} x+8)[/tex]°
∠UTV = x+2°
Given, that the line TV bisects ∠STU,
∠STV = ∠UTV
Substitute their values,
[tex](\frac {1}{4} x+8)[/tex]° = x+2°
Calculating,
[tex]\frac{1}{4}x-x[/tex] = 2-8
[tex]-\frac{3}{4}x[/tex] = -6
x = [tex]-6*(-\frac{4}{3})[/tex]
x = 8
So, we know that:
∠STU = ∠STV + ∠UTV
= [tex](\frac {1}{4} x+8)[/tex]° +( x+2°)
= [tex](\frac {5}{4} x+10)[/tex]
Now, substitute the value of x,
∠STU = [tex](\frac {5}{4} )*8[/tex]°+10°
= 10° + 10°
= 20°
Therefore, the measure of ∠STU is 20°.
To know more about angles, visit
https://brainly.com/question/28292775
#SPJ4
-6 = 3х - бу4х = 4 + БуSolving systems of equations using substitution method
-6 = 3x - 6y
4x = 4 + 5y
ok
x = (4 + 5y)/4
Substitution
-6 = 3[(4 + 5y)/4] - 6y
-6 = [12 + 15y]/4 - 6y
-6 + 6y = [12 + 15y]/4
-24 + 24y = 12 + 15y
24y - 15y = 12 + 24
9y = 36
y = 36/9
y = 4
x = (4 + 5(4))/4
x = [4 + 20)/4
x = 24/4
x = 6
Solution x = 6, y = 4
One cotton candy at the rodeo cost $5.25. When 4 friends purchases cotton candy, the expression 5.25(4) can be used to determine the total cost. What other expression can be used to determine the total cost?
The other expression for this scenario is 5.25 + 5.25 + 5.25 + 5.25
How to determine the other expression?From the question, we have the following parameters that can be used in our computation:
Cost of cotton candy = $5.25
Number of friends = 4
So, the expression is given as
Expression = 5.25(4)
Express 4 as 1 + 1 + 1 + 1
So, we have the following representation
Expression = 5.25(1 + 1 + 1 + 1)
Open the bracket
Expression = 5.25 + 5.25 + 5.25 + 5.25
Hence, the other expression is 5.25 + 5.25 + 5.25 + 5.25
Read more about expressions at
https://brainly.com/question/4344214
#SPJ1
what’s the answer ??? FAST ! (8th grade Algerbra one )
Answer: I genuinely believe the answer is c
In the diagram of ABCD shown below, BA is drawn from vertex B to point A on DC, such that BC & BA.DAСa.In AABD, mZD = 30° and mZDAB = 120°. Find the measure of all angles.b.What kind of triangle is AABD? Explain.hat kind of triangle is ADBC? Explain.
We have that BC = BA and m
We will have that the angle DAB and BAC are supplementary, therefore:
DAB + BAC = 180°
And replecing the value of DAB, we will get:
120 + BAC = 180 => BAC = 60.
By theorem the angles that oppose equal sides are equal, therefore: ACB = 60.
From this, we will also get that ABC = 60.
And B = 90.
Triangle ABD will be a scalene triangle.
Triangle DBC will be a rectangle triangle.
Which function is best represented by this graph?
Responses
A y = -3x + 2y = -3 x + 2
B y = 2x + 3y = 2 x + 3
C y = -2x + 3y = -2 x + 3
D y = 3x + 2y = 3 x + 2
The equation of the line will be y = 2x + 3. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the graph, two points are taken as (0, 3) and (1, 5). Then the equation of the line is given as,
(y - 3) = [(5 - 3) / (1 - 0)](x - 0)
Simplify the equation, then we have
y - 3 = 2x
y = 2x + 3
The equation of the line will be y = 2x + 3. Then the correct option is B.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ1
Answer:
c
Step-by-step explanation:
12g + 21 and 3(4g + 7) are equivalent. true or false
Answer: TRUE
Step-by-step explanation:
12g+21 equals to 3(4g+7) because you have to multiply 3 and 4g which will equal 12g and then multiply 3 and 7 which will equal 21.
So your final answer would be 12g+21 equals to 12g+21.
Hope it helps!!
Which of the following classification groups does not include squares? B. rhombuses D. trapezoids A. parallelograms C. rectangles
Answer:
D. trapezoids
How many real sixth roots does -729 have?
Answer:
it has none
Step-by-step explanation:
Answer:
6√-729 is : 4.88147452844536
Find the sale price to the nearest cent. $150 suit; 20% discount
Answer:
Price after discount: $120.00
You saved: $30.00
Step-by-step explanation:
Answer:
$120
Step-by-step explanation:
150*20%
150*20/100
150*1/5
30
150-30=120
I need help on homework
Statement. (Reasons are in boldfaced words)
1. H is the midpoint of AD. By given.
2. AD bisects GC. By given.
3. HA = HD. By definition of midpoint.
4. GH = CH. By definition of the bisector.
5. Angles AHG and DHC are congruent. By vertical angles theorem.
6. AG = DC. They are the height of the figure.
7. Triangles GHA and CHD are congruent. By Side-Angle-Side postulate of congruence.
I need help on this math work
2x=7/8x-15
Answer:
X= -40/3
Step-by-step explanation:
2x= 7/8x-15
1. Combine the multiplied terms into just one fraction: 2x= 7x/8-15
2. Find the common denominator: 2x= 7x/8 + 8(-15)/8
3. Combine those fractions with the common denominator(as shown from step 2, above): 7x+8(-15)/8
4. Multiply the numbers: 8 times -15= 120
The rest are simple. Remember to cancel out, multiply, subtract, simplify and divide. If you want the full completion of these steps: https://brainly.ph/question/10069564#:~:text=Answer%3A,Combine%20the%20constants.
Which function has a greater slope? Function 1 Function 2 or both
Answer:
Function 2!
Step-by-step explanation:
the slope is longer
Translation along vector (-3, 1
Rotation 360 degrees about the origin
Rotation 270 degrees counterclockwise about the origin
Translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Given, the points
J(2 , -5) , K(-1 , -3) and L(-4 , 5)
(a) Now, Translation along the vector (-3 , 1) is
J' = (2 - 3 , -5 + 1) = (-1 , -4)
K' = (-1 - 3 , -3 + 1) = (-4 , -2)
L' = (-4 - 3 , 1 + 1) = (-7 , 2)
(b) Now, Rotation of 360° about the origin is
J' = (2 , -5)
K' = (-1 , -3)
L' = (-4 , 5)
(c) Now, Rotation of 270° counterclockwise about the origin is
J' = (-5 , -2)
K' = (-3 , 1)
L' = (5 , 4)
Hence, translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Learn more about Coordinate Geometry here https://brainly.com/question/18269861
#SPJ9
Emma works at the library putting books away. She put away 3 carts ofbooks in 45 minutes. The function f(b) represents the number of booksEmma put away per hour. Which of these statements are correct interpretations of the function?a) The term 3b represents the number of books Emma puts away in an hour .b) The variable b represents the number of book on one cart .c) The number 3 represents the number of hours Emma worked .
You have the following function:
f(b) = 3b ÷ 45/60
Consider Emma put way 3 carts of books in 45 minuntes.
The factor 45/60 means the conversion to hours of the number of books Emma put way. 45 minutes in hours is the same as 45/60.
the factor 3b means that Emma put way 3 carts of books, and the division stablish the rate of time in one hour. This means b is the number of book on one cart.
Hence, the following statement is a correct interpretation of the function f(b):
b) the variable b represents the number of book on one cart.
What is the approximate area of this figure?A)25 cmB)29 cmC)38 cmD)42 cm
What is the approximate area of this figure
Step 1
divide the figure in
just tell me whether to use sin, cos, or tan for number 14 you don’t have to solve
SOLUTION
We use sin
This is because the opposite and the adjacent sides are where we have known and unknown values
You can use the code SOH/ CAH / TOA to make the right choice of trigonometric ratio to use
Based on this prediction how many healthcare workers total will be employed in 2018? Note that the 2008 employment figures in this are in thousands
1) Considering the table and the data, we can see that there was a positive 40% percent change in the table, for the Healthcare workers altogether
2) So we can write out the following:
[tex]18,237\times(1.4)=25531.8[/tex]Notice that to find the final result, we add 0.4 +1 and then multiply by 18237.
Note that there was an increase from 2008 and 2018, and since we can only work with whole numbers for people, we need to round it up to the nearest whole number. Thus, in 2018 there will be 25532 workers
solve y=5x-3 -x+7y=-21
Given the equation system:
[tex]\begin{gathered} y=5x-3 \\ -x+7y=21 \end{gathered}[/tex]You can find the solution to this equation system using the subtitution method.
Since the first expression is written in terms of y, you can replace it into the second expression and calculate for x
[tex]\begin{gathered} -x+7y=21 \\ -x+7(5x-3)=21 \end{gathered}[/tex]-Distribute the multiplication on the parentheses term:
[tex]\begin{gathered} -x+7\cdot5x-7\cdot3=21 \\ -x+35x-21=21 \end{gathered}[/tex]-Simplify the x-terms, by solving the operation between them
[tex]34x-21=21[/tex]-Pass 21 to the right side of the equation by applying the opposite operation to both sides of the equal sign
[tex]\begin{gathered} 34x-21+21=21+21 \\ 34x=42 \end{gathered}[/tex]-Finally, divide both sides of the equation by 34 to determine the value of x
[tex]\begin{gathered} \frac{34x}{34}=\frac{42}{34} \\ x=\frac{21}{17} \end{gathered}[/tex]Now that we have determined the value of x, we can replace it into the first equation to calculate the value of y:
[tex]\begin{gathered} y=5x-3 \\ y=5(\frac{21}{17})-3 \\ y=\frac{105}{17}-3 \\ y=\frac{54}{17} \end{gathered}[/tex]This system has one solution at the point
[tex](\frac{21}{17},\frac{54}{17})[/tex]x²+2x for x=-3 i just need help on this math assingment
Answer:
-33
Step-by-step explanation:
We know that x = -3
So,
-3² + 2 x -3
9 + 2 x -3
11 x -3
-33
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Which equation can be used to find the value of x in the right triangle shown?
A cos 20 = 12/x
B. 20° = 12
C. 20° = 12
D. 70° = /12
By using a trigonometric equation, we can see that the correct option is the first one:
cos(20°) = 12/x
Which equation can be used to find the value of x?
We have a right triangle where x is the hypotenuse, we know that one angle measures 20° and the adjacent cathetus to that angle measures 12 units.
Then we can use the trigonometric relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(20°) = 12/x
This is the equation in the first option, so that is the correct one.
Learn more about right triangles:
https://brainly.com/question/2217700
#SPJ1