The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
i have a time limit someone answer fast plsss (taking this down at 4:20 pm)
Answer:
The lines are:
3x - 2y = 4and
9x - 6y = 12Since after multiplying by -3 the equations sum to 0, the equations are same.
Same equations produce overlapping lines, hence you can see one line only.
Divide second equation by 3
3x-2y=4LInes are same so you can see only one line
log13 X + log13 (12x-1)=1
Solve for x by simplifying both sides of the equation, then isolating the variable.
x ≈ 0.13893498
Lấy ngẫu nhiên 25 lọ thuốc Vitamin tổng hợp do một máy tự động đóng chai ta thu được s'2 =0,012(l2).Máyđượcgọilàđạtchuẩnnếuđộphântántheoquyđịnhlà2 =0,005(l2). Với mức ý nghĩa 0,05 hãy kiểm định máy đóng chai có đạt chuẩn không? Biết lượng thuốc trong chai là biến ngẫu nhiên có phân phối chuẩn.
Answer:
I really can't read this
Step-by-step explanation:
Which of the following algebraic steps will solve the equation 5p= -35 and what is the solution
Answer:
p=-7
Step-by-step explanation:
5p=-35
Divide both sides by 5
5p/5 =-35/5
therefore p=-7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{5p= -35}\\\\\underline{\huge\text{DIVIDE 5 BOTH SIDES}}\\\\\mathsf{\dfrac{5p}{5p}= \dfrac{-35}{5}}\\\\\large\text{CANCEL out: }\dfrac{5}{5}\large\text{ because that gives you 1}\\\large\text{KEEP: }\dfrac{-35}{5}\large\text{ because that gives you the value of p.}\\\\\large\textsf{p = }\mathsf{\dfrac{-35}{5}}\\\\\mathsf{-35\div5= p}\\\\\large\text{Simplify above and you have your result to the p-value.}\\\\\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{p = -7}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone help me find the answer?
Answer:
a. x = 3/a
Step-by-step explanation:
Add all like terms on left hand side of the equation:
5 ax + 3 ax => 8 ax
Bring like term 4ax on left hand side
8ax - 4ax
=> 4ax
Therefore we get 4ax = 12
ax = 12/4
ax = 3
x = 3/a
Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4
Answer:
y = 2x - 4
Step-by-step explanation:
The equations are put in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and b = y intersect
So in order to find the equation of the data represented by the table we will have to find the slope and y intercept
Let's begin!
First let's find the slope
We can find the slope by using the slope formula
m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table
The points chosen may vary but I have chosen the points (0,-4) and (1,-2)
Now that we have chosen the points we will use to find the slope let's define the variables
remember coordinates are written like this: (x,y)
The x value of the second coordinate is 1 so x2 = 1
The x value of the first coordinate is 0
So x1 = 0
The y value of the second coordinate is -2 so y2 = -2
The y value of the first coordinate is -4
So y1 = -4
Now that we have defined each variable let's plug in the values into the formula
Formula: m = (y2 - y1) / (x2 - x1)
Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4
Substitute values
m = (-2 - (-4) / ( 1 - 0 )
Evaluate
The negative signs cancel out on top and it changes to +4
m = (-2 + 4)/(1-0)
Add top values
m = 2/(1-0)
Subtract bottom numbers
m = 2/1
Simplify fraction
m = 2
So we can conclude that the slope (m) = 2
Now let's find the y intercept or "b"
The y intercept is the value of y when x = 0
If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4
Now that we have found everything let's find the equation of the data represented by the table
The equation is in slope intercept form
y = mx + b
Define variables
m = 2 and b = -4
Substitute values
y = 2x - 4
The equation is y = 2x - 4
PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)
–6
3
–59
26
Answer:
-6
Step-by-step explanation:
f(x) = -2x - 7 and g(x) = -4x + 6
Find f(-5)
f(-5) = -2(-5) -7 = 10-7 = 3
The find g(3)
g(3) = -4(3) +6
= -12 +6 =-6
g(f(-5)) = -6
A boat travels 400 kilometers in 9.6 hours (with a constant speed). How much time will it take to travel 138 kilometers? (round to the nearest tenth of an hour)
Step-by-step explanation:
here's the answer to your question
constant of proportionality
Answer:
4.2
Step-by-step explanation:
Constant of proportionality = y/x = 8.4 / 2 = 4.2
You are skiing down a mountain with a vertical height of 1250 feet. The distance that you ski as you go from the top down to the base of the mountain is 3350 feet. Find the angle of elevation from the base to the tep of the mountain. Round your answer to a whole number as necessary.
Step-by-step explanation:
here is the answer to your question
F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.
The divergence of F is
div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z
div(F ) = 1 + 1 + 1
div(F ) = 3
The divergence of the vector field is equal to 3
Data;
(x+yz)i(y + xz)j(z+xy)kDivergence of Vector FieldTo find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.
[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]
The divergence of the vector field is equal to 3
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Solve the following equation for x. 12^2 - 36x = 0
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true
Answer: brother
Step-by-step explanation:
Given the numbers 30 and 45, find the common factors of the two numbers.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The common factors between the two numbers are 1, 3, 5, 15.
Hope this helps!
What is the slope-intercept equation of the line below?
Answer:
y=-5/4x+3
Step-by-step explanation:
y=mx+c
m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4
sub the values y=3, x=0 to find c,
3 =-5/4(0) + c
c = 3
Someone help me please
Answer:
y=4
Step-by-step explanation:
The triangle on the right is a 30-60-90 triangle
The ratio of sides in a 30-60-90 triangle is 1:√3:2
y:x:8
SO y will be 4 because 8/y=2/1
HELP ME PLSSS SUMMER SCHOOL A HARD
Answer:
y=2x+8
Step-by-step explanation:
Hope this helps
What is the greatest common factor of 10 and 13?
ANSWER IN LESS THEN 3 MINS AND I'LL GIVE BRAINLIEST
Answer:
the answer for this would be 1
. Two mutually exclusive projects have projected cash flows as follows:
YEAR PROJECT A PROJECT B
0 Ksh. -2m Ksh. -2m
1 1m 0
2 1m 0
3 1m 0
4 1m 6m
Required:
a) Determine the internal rate of return for each project. [2 Marks]
b) Determine the net present value for each project at discount rates of 0, 5,10,20,30, and 35 percent. [2 Marks]
c) Plot a graph of the net present value of each project at the different discount rates. [2 Marks]
d) Which project would you choose? Why? [ 2 Marks]
e) What is each project’s MIRR if the cost of capital is 12 percent?
Answer:
yes
Step-by-step explanation:
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
Answer:
4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.
I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)
Answer:
8 walls etc....
Step-by-step explanation:
A rectangle has an area of 616 m² and a width of 22m. What is its length?
Answer:
l=28m
w Width
22
m
A Area
616
m²
Using the formula
A=wl
Solving forl
l=A
w=616
22=28m
hope this will help you
make me brainliest
Answer:
Solve for length
l=28m
W= Width
22
m
A= Area
616
m²
Using the formula
A=wl
Solving formula
l=A
W=616
22=28m
gordan is twice as old as tony was when gordan was as old as tony is now. combined age of gordan and tony is 112 years. how old are gordan and tony now?
Answer:
Answer
Tony:48
Gordan :64
Step-by-step explanation:
[tex]\begin{array}{c|c|c}Age&Gordon&Tony\\------------------&-------&-------\\now&g&t\\when\ gordan\ was\ as\ old\ as\ tony\ is\ now&t(=g-g+t)&t-g+t=2t-g\\\end{array}\\\\\\\\\left\{\begin{array}{ccc}g&=&2*(2t-g)\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}3g&=&4t\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}g&=&\dfrac{4}{3}\\\dfrac{7}{3} t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&48\\g&=&64\\\end {array}\right.\\[/tex]
Proof:
16 years ago, Gordan was 48 and Tony 32.
64=2*32
64+48=112
PLSSS HELP IM STRUGGLING SO HARD !!! ———————
Answer:
C)
Step-by-step explanation:
Just see the length of the R line, A and B are almost the same large when you add them.
Help me please guys thanks
Answer:
A is correct
Step-by-step explanation:
Tenisha solved the equation below by graphing a system of equations.
log35x = log (2x+8)
Which point approximates the solution for Tenisha's system of equations?
0 (0.9, 0.8)
O (1.0, 1.4)
O (2.3, 1.1)
O (2.7, 13.3)
Answer:
Option B.)
Step-by-step explanation:
Just took the test and got 100% :]
The system of logarithmic equation is graphed and the point of intersection of the equation is log₃ ( 5x ) = log₅ ( 2x + 8 ) is A ( 1.0 , 1.4 )
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the solution to the logarithmic equation be represented as A
Now , the value of A is
log₃ ( 5x ) = log₅ ( 2x + 8 )
On simplifying , we get
log₃ ( 5x ) = log₁₀ ( 5x ) / log₁₀ ( 3 )
log₅ ( 2x + 8 ) = log₁₀ ( 2x + 8 ) / log₁₀ ( 5 )
Substituting the logarithmic quantities , we get
log₁₀ ( 5x ) / log₁₀ ( 3 ) = log₁₀ ( 2x + 8 ) / log₁₀ ( 5 )
On cross multiplying , we get
log₁₀ ( 5x ) / log₁₀ ( 2x + 8 ) = log₁₀ ( 3 ) / log₁₀ ( 5 )
( 5x ) / ( 2x + 8 ) = 3/5
On cross multiplying , we get
25x = 6x + 24
Subtracting 6x on both sides , we get
19x = 24
Divide by 19 on both sides , we get
x = 1.26
Therefore , the approximate values of the function on graphing is A ( 1.0 , 1.4 )
Hence , the solution of function from graphing is A ( 1.0 , 1.4 )
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Which of the following sets are equal to {x|x < 9 and x> 2}
{3,4,5,6,7,8}
{2,3,4,5,6,7,8,9}
{}
{2,3,4,5,6,7}
Answer:
{3, 4, 5, 6, 7, 8}Step-by-step explanation:
{x|x < 9 and x > 2}= {3, 4, 5, 6, 7, 8}[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Integers are sometimes whole numbers
true or false
Answer:
True
Step-by-step explanation:
Integers are always whole numbers
negative, 0, positive:: whole numbers
Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events?
a. All three children will develop Tay–Sachs disease.
b. Only one child will develop Tay–Sachs disease.
c. The third child will develop Tay–Sachs disease, given that the first two did not.
Lo siento mucho, necesito los puntos porque estoy en una prueba.
Use the Unit Circle to find the exact value of the trig function. Cos(45)
1/2
√2/2
√3/-2
1
In a unit circle a line reaching from origin to the circle's circumference specifies the trigonometric functions.
A point where the line which comes from origin to the circumference intersecting it has coordinates [tex](\cos\theta,\sin\theta)[/tex].
In our case [tex]\theta=45^\circ[/tex] which lifts the line up by 45 degrees and makes it intersect circumference at [tex](\cos45^\circ,\sin45^\circ)[/tex].
In the upper right quadrant the angle between x and y axis is 90 degrees so a line coming in at angle of 45 degrees would split the quadrant in half, that means sine and cosine 45 degrees will be equal.
As you may noticed a point has coordinates cos, sin which means the distance between 0 and y coordinate where the point on a circle is, is called [tex]\cos\theta=\cos45^\circ[/tex].
Because cosine 45 degrees is so simple in interpretation it has a known value of [tex]\cos45^\circ=\sin45^\circ=\frac{\sqrt{2}}{2}[/tex].
Hope this helps :)
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Answer: 7x + 9y >_ (more or equal) 314
X + Y <_ ( less or equal) 35
Step-by-step explanation:
Answer:
h+s≤35 and 7h + 9s >_314
Step-by-step explanation:
