Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
------------------
5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
-----------------------------
10x+25y=97.5
-10x-4y=-45
-----------------------
21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
help please i only have a few minutes will mark brainliest :)
Answer:
f(x)=-3x+9
Step-by-step explanation:
Plz help.For what value of x is line m parallel to line n?
Fill in the blank. The centroid is (blank) of the distance from each vertex to the midpoint of the opposite side.
Step-by-step explanation:
.
The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.
5 pages·2 MB
The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side
The properties of a centroid are:
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.The centroid is located at a point that is 2/3 from the vertex to the midpointThe second highlight above means that: the statement is to be completed with 2/3
Read more about centroids at:
https://brainly.com/question/1189196
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
Answer:
y = 2x +4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~
(1, 6)
(- 3, - 2)
m = 2
y - 6 = 2 ( x - 1 ) <------ ( point-slope form )
y = 2x + 4 <------- ( slope-intercept form )
2x - y = - 4 <------ ( standard form )
Help please!!!! I’ll give brainilest
Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
If the roots of the equation
lx²+nx+n=o is in the ratio p:q
then
√(p/q) + √(q/p)=?
Step-by-step explanation:
Let the given ratio be pk : qk .
So , here the quadratic equation is lx² + nx + n = 0. With respect to Standard form ax² + bx + c = 0.
We have ,
a = lb = nc = n→ Sum of roots = -b/a = -n/l = qk + pk
→ Product of roots = c/a = n/l = k²pq .
[tex]=> \dfrac{n}{l} = \dfrac{k^2}{pq} \\\\=> k^2 =\dfrac{n}{pql} [/tex]
And here pk and qk is a root of the quadratic equation ,
[tex]=> lx^2 + nx + n = 0 \\\\=> l(pk)^2 + n(pk) + n = 0\\\\=> lp^2k^2+npk + n = 0 \\\\=> lp^2\bigg( \dfrac{n}{pql} \bigg) + np\bigg(\sqrt{\dfrac{n}{pql}} \bigg) + n = 0 \\\\ => n\bigg\{\dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1\bigg\} = 0 \\\\=> \dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1 =0\\\\=>\sqrt{\dfrac{p}{q}} \bigg( \dfrac{q}{p}+\sqrt{\dfrac{np}{lq}}+1\bigg) = 0 \\\\=> \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}}+ \sqrt{\dfrac{n}{l}}=0 \\\\\boxed{\red{\bf\longmapsto \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}} = - \sqrt{\dfrac{n}{l}}}} [/tex]
hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.
Answer:
It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.
Hope this helps! But this would be easier to explain with an example
A company wants to evaluate its attrition rate, in other words, how long new hires with the company. Over the years, they have established the following probability distribution.
Let X = the number of years a new hire will stay with the company.
Let P(x) = the probability that a new hire will stay with the company x years.
1. Complete Table using the data provided.
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
2. P(x = 4) = _________
3. P(x ≥5) = __________
4. On average, how long would you expect a new hire to stay with the company?
Answer:
2.) 0.10 (3.) 0.10 (4.) 2.43
Step-by-step explanation:
Given that:
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6
p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05
Σ of p(x) = 1
(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1
0.9 + x = 1
x = 1 - 0.9
x = 0.1
2.)
P(x = 4) = 0.10
3.)
P(x = 5) = 0.10
4.)
Σ(x * p(x)) :
(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: On average, how many accidents are there in the intersection in a week
Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
What is the following product?
Answer:
The third one.
Step-by-step explanation:
what is the slope in the equations: y = 4x + 3
Answer:
4
Step-by-step explanation:
y = mx + b
m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope
factorise x^2-3xy-18y^2
plzzzzz it's urgent
Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.
Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%
Answer:
c) 33%
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and [tex]\frac{4}{12}=\frac{1}{3}[/tex]). Therefore, there is a 33% chance that the card Luke holds is a queen.
Answer:
33%
Step-by-step explanation:
Got it right on the test.
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
The midpoint of AB is M(4, -2). One endpoint is A(-2, 6). What is the other endpoint for B?
Answer:
endpoint for B is (10,-2)
Step-by-step explanation:
M={(x1+x2)/2,(y1+y2)/2}
(4,2)={-2+x2/2,6+y2/2)
By equating the x coordinates
4=-2+x2/2
8=-2+x2
8+2=x2
x2=10
By equating the y coordinates
2=6+y2/2
4=6+y2
4-6=y2
y2=-2
Therefore the endpoint for B is (10,-2)
Can someone tell me the answer to me pls I have to be done in 20 minutes
Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,
Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
Which points are on the graph of g(x) = (1/5)^x
Choose all answers that are correct.
A.(-1,5)
B.(3,1/125)
C.(1,0)
D.(-2,1/25 )
Answer:
A) The point( -1 , 5) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
B) The point( 3 , 1/125) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
Step-by-step explanation:
Explanation:-
Given graph
y = [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
Put the point ( -1 , 5)
Put y =5 and x =-1
[tex]5 = (\frac{1}{5} )^{-1} = 5[/tex]
The point( -1 , 5) is satisfies the given graph
ii)
Given graph
y = [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
[tex]\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}[/tex]
The point( 3 , 1/125) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
Plz help! Will give Brainliest!!!
please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.
Answer:
i) x = 2.8
ii) x = 2
19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A survey participant is randomly selected. Let S be the event that the participant's first motor vehicle had six cylinders and let T be the event that the participant's first motor vehicle was a truck. What is the value of P(S and T)? Motor Vehicle Car Truck SUV O 0.06 Four 118 6 18 O 0.12 Cylinders Six 16 12 20 O 0.24 Eight 2. 6 CO 2 O 0.30
ONLY ANSWER WITH SERIOUS ANSWERS I WILL DELETE AND REPORT 30 PTS
Answer:
.06
Step-by-step explanation:
edg
Answer:
.06
Step-by-step explanation:
test on edg e
Evaluate the following expression. -24/-3 - (-2)
Answer:
=10
Step-by-step explanation: