Answer:10.3
Step-by-step explanation:
Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answer:
8x = 32
x = 4
y = 6
Step-by-step explanation:
2.5y + 3x = 27
5x – 2.5y = 5
_____________
8x = 32 (equation obtained after adding the two equations)
x = 32/8
x = 4
Plug x = 4 in 2.5y + 3x = 27
2.5y + 3*4 = 27
2.5y + 12 = 27
2.5y = 27 - 12
2.y5= 15
y = 15/2.5
y = 6
simultaneous equations
x^2+3xy=10
x=2y
9514 1404 393
Answer:
(x, y) = (-2, -1) or (2, 1)
Step-by-step explanation:
Substitute for x in the first equation:
(2y)^2 +3(2y)y = 10
10y^2 = 10
y^2 = 1
y = ±1
x = 2y = ±2
Solutions are (x, y) = (-2, -1) or (2, 1).
45% of 200
35% of 150
10% of 20
30% of 15
52.5
>
4.5
>
2
>
110
20% of 50
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PLEASE HELP!!! 20 POINTS!!!! WILL MARK YOU BRAINIEST!!! Two isosceles triangles share the same base. Prove that the medians to this base are col linear. (There are two cases in this problem: vertices are on the same side of the base and vertices are on the opposite sides of the base!)
Answer:
Given: Two Isosceles triangle ABC and Δ PBC having same base BC. AD is the median of Δ ABC and PD is the median of Δ PBC.
To prove: Point A,D,P are collinear.
Proof:
→Case 1. When vertices A and P are opposite side of Base BC.
In Δ ABD and Δ ACD
AB= AC [Given]
AD is common.
BD=DC [median of a triangle divides the side in two equal parts]
Δ ABD ≅Δ ACD [SSS]
∠1=∠2 [CPCT].........................(1)
Similarly, Δ PBD ≅ Δ PCD [By SSS]
∠ 3 = ∠4 [CPCT].................(2)
But, ∠1+∠2+ ∠ 3 + ∠4 =360° [At a point angle formed is 360°]
2 ∠2 + 2∠ 4=360° [using (1) and (2)]
∠2 + ∠ 4=180°
But ,∠2 and ∠ 4 forms a linear pair i.e Point D is common point of intersection of median AD and PD of ΔABC and ΔPBC respectively.
So, point A, D, P lies on a line.
CASE 2.
When ΔABC and ΔPBC lie on same side of Base BC.
In ΔPBD and ΔPCD
PB=PC[given]
PD is common.
BD =DC [Median of a triangle divides the side in two equal parts]
ΔPBD ≅ ΔPCD [SSS]
∠PDB=∠PDC [CPCT]
Similarly, By proving ΔADB≅ΔADC we will get, ∠ADB=∠ADC[CPCT]
As PD and AD are medians to same base BC of ΔPBC and ΔABC.
∴ P,A,D lie on a line i.e they are collinear.
Find the equivalent function of sin(180+x)
Answer:
The equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]
i.e.
[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]
Step-by-step explanation:
Considering the function
[tex]sin\left(180^{\circ }+x\right)[/tex]
Solving
[tex]sin\left(180^{\circ }+x\right)[/tex]
Using the angle sum identity:
[tex]\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)[/tex]
[tex]=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)[/tex]
as
[tex]\cos \left(180^{\circ \:}\right)=\left(-1\right)[/tex]
[tex]\sin \left(180^{\circ \:}\right)=0[/tex]
so
[tex]=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)[/tex]
[tex]=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)[/tex]
[tex]=0-1\cdot \sin \left(x\right)[/tex]
[tex]=0-\sin \left(x\right)[/tex]
[tex]=-\sin \left(x\right)[/tex]
So, the equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]
Therefore:
[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]
Select ALL 4 ways of displaying a relation.
Scatter plots
In words
Mapping Diagrams
Table
o Pie Graph
Graph
O Ordered Pairs
Answer:
Scatter plots
Pie graph
graph
in words
I WILL GIVE BRAINLIST THING IF YOU DO BOTH
Answer: b
Step-by-step explanation: I took the test
what is 64 ÷ (15 - 7) x2 - 9 using pemdas
Answer:
7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
A BODMAS rule states that inter mathematical expressions should be solved in the order of BODMAS from left to right.
Solving equation by BODMAS rule:An abbreviation Bodmas is used to aid children in remembering the order of operations when performing mathematics. The various activities we can perform with integers in math are called "operations". "Brackets, Order, Division, Multiplication, Addition, Order of operations" is the abbreviation for "Brackets, Order, Division, Multiplication, Addition, Subtraction".[tex]\to 64 \div (15 - 7) \times 2 - 9 \\\\\to \frac{64}{ (15 - 7)} \times 2 - 9\\\\\to \frac{64}{8} \times -7\\\\\to 8-7\\\\\to 1[/tex]
Therefore, the final answer is "1".
Find out more about the equation here:
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El precio del listón tricolor cuesta $15.5 metro, si mi mamá me hizo dos moños para el festival de la Independencia y cada moño necesitó 3.5 m de listón, ¿Cuánto pagó mi mamá?
Responder:
$ 108.5Explicación paso a paso:
Paso uno:
datos dados
el costo de un metro de cinta tricolor = $ 15.5.
se nos dice que un lazo necesitará 3,5 m de cinta, ya que tu madre hizo dos lazos, usó un total de 3,5 * 2 = 7 m de cinta
Segundo paso:
ahora calcularemos el dinero que gastó su madre.
si 1 m le costará $ 15.5
entonces 7 millones le costarán $ x
Cruz multiplicar tenemos
x = 15,5 * 7
x = $ 108.5
Esto significa que tu madre gastará $ 108.5 para hacerte los dos moños.
Queremos saber cuanto pagó mamá dado que conocemos cuantos metros de listón utilizo y cuanto cuesta el metro. Veremos que mamá pagó $54.25 por el listón.
Sabemos que cada metro del listón cuesta $15.50.
Tambien sabemos que mamá utiliza 3.5 metros de este listón, entonces el precio será 3.5 veces el precio del metro de liston, que es $15.50, esto se calcula como:
3.5*$15.50 = $54.25
Es decir, mamá pagó $54.25
Sí quieres aprender más, puedes leer:
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If m ∥ n and the slope of line m is 3, what is the slope of line n? A. 13 B. –13 C. –3 D. 3
Answer:
3
Step-by-step explanation:
When 2 lines are parallel, they have the same slope. Since m║n, the slope of m will be equal to the slope of n.
The required slope of line n which is parallel to line m is 3. Option D is correct.
Given that,
If m ∥ n and the slope of line m is 3, what is the slope of line n is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of line state that, when lines are parallel to each the than the angle of inclination or slope of all the parallel lines are equal.
So, in given condition Line m is parallel to line n implies the slope of line m and n are equal.
Thus, the required slope of line n which is parallel to line m is 3.
Learn more about slopes here:
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Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Clare's mistake?
Answer:
The Second Step.
Step-by-step explanation:
We are given the original equation:
[tex]12(5+2y)=4y-(5-9y)[/tex]
In her first step, Clare distributed both sides:
[tex]72+24y=4y-5-9y[/tex]
There are two errors:
First, the product of 5 and 12 is 60 and not 72.
Second, on the right-hand side of the equation, the negative must be distributed to all terms. Hence, the correct result should be:
[tex]\displaystyle 60 + 24y = 4y - 5 + 9y[/tex]
Instead of what she had obtained.
What is the slope of the line through (-1,4) and (1.-2)?
(14) 4
4
1, 2,
А -3
в. В
D. 3
Answer:
A. -3
Step-by-step explanation:
(4) - (-2) = 6
(-1) - (1) = -2
6/-2
/2
-3
A painter needs to obtain a particular shade of green paint by mixing yellow paint with blue paint in the ratio 3:5. If he buys 45 litres of yellow paint, how many litres of blue are required?
Answer:
75 litres of Blue
Step-by-step explanation:
Divide the amount of yellow liters by 3, you'll get 15. To get the amount of blue needed, you multiply 5 by 15.
Find the inner product for (-4, 9, 8) * (3,2,-2) and state whether the vectors are perpendicular.
a.-10; no
c.10; no
b.-10; yes
d.10; yes
Answer:
a
Step-by-step explanation:
they are not perpendicular and the answer is -10
PLEASE HELP! If xy=40 is that an inverse or direct variation, or neither.
Answer:
inverse variation
Step-by-step explanation:
Write a function in any form that would match the graph shown below.
Answer:
e4rf
Step-by-step explanation:
The Douglas family visits SeaLand and is charged $72.00 for 2 adult and 3 child tickets. The Williams family also visited SeaLand and was charged $78.00 for 1 adult and 5 child tickets. How much would it cost the Lopez family to go to SeaLand if they have 3 adults and 4 children?
Answer:
It would cost the Lopez family $102.00 to go to Sealand
Step-by-step explanation:
Assume that the cost of each adult ticket is $x and the cost of each child ticket is $y
∵ The adult's ticket costs $x
∵ The child's ticket costs $y
∵ The Douglas family is charged $72.00 for 2 adult and 3 child tickets
∴ 2x + 3y = 72 ⇒ (1)
∵ The Williams family was charged $78.00 for 1 adult and 5 child tickets
∴ x + 5y = 78 ⇒ (2)
Let us solve the system of equations to find x and y
→ Multiply equation (2) by -2 to make the coefficients of x equal in
values and different in signs
∵ -2(x) + -2(5y) = -2(78)
∴ -2x + -10y = -156 ⇒ (3)
→ Add equations (1) and (3) to eliminate x
∵ (2x + -2x) + (3y + -10y) = (72 + -156)
∴ -7y = -84
→ Divide both sides by -7 to find y
∴ y = 12
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 5(12) = 78
∴ x + 60 = 78
→ Subtract 60 from both sides
∴ x + 60 - 60 = 78 - 60
∴ x = 18
∴ The cost of each adult ticket is $18 and the cost of each child ticket
is $12
∵ Lopez family has 3 adults and 4 children
∴ The cost of the tickets = 3(18) + 4(12) = 54 + 48
∴ The cost of the tickets = 3(18) + 4(12) = 102
∴ It would cost the Lopez family $102.00 to go to Sealand
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
Maureen rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 6 and a head?
The probability of obtaining a 6 and a head is 1/12 if Maureen rolls a fair dice and flips a coin.
What is a probability?It is a likeliness of happening an event. It lies between 0 to 1 .
Probability= Number of events/number of outcomes
How to calculate probability?
When Maureen rolls a fair dice then probability of obtaining a six is 1/6
When Maureen flips a fair coin then probability of obtaining a head is 1/2
So the probability of obtaining a six and a head is 1/6*1/2
=1/12
Hence the probability of obtaining a six and a head is 1/12
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A 16 ounce bag of cereal cost $2.88 what is the cost per ounce
Answer:
the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer
Step-by-step explanation:
Mr. and Mrs. Galloway are planning to build a new fence around their garden. They are comparing the different measurements for their plans. Plan A · Posts are 4.25 feet in length. · Posts must be installed LaTeX: \frac{7}{8}7 8 feet below ground level. Plan B · Posts are 6 LaTeX: \frac{3}{4}3 4 feet in length. · Posts must be installed 1. 5 feet below ground level. What will be the height of the fence in Plan A?
Answer:
5 1/8 feets
Step-by-step explanation:
Given that:
PLAN A:
Length of post = 4.25 feets
Post must be 7/8 feets below the ground
Height of fence in PLAN A :
Converting 4.25 feets to decimal :
4.25 feets = 4 feets + 0.25 feets
0.25 feets = 1/4 feets
4 + 1/4 feets = 4 1/4 feets
4 1/4 feets + 7/8 feets
17 /4 feets + 7 /8 feets = [(34 + 7) / 8] feets
[(34 + 7) / 8] feets = 41/ 8 feets
41 / 8 feets = 5 1/8 feets
Which value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y?
ОА
1
7
ОВ.
7
9
Ос.
8
7
D. -9
OE.
ف هایی
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Answer:
-[tex]\frac{8}{7}[/tex]
Step-by-step explanation:
-9x+4y=8
-3x-y=4
Multiple the entire second equation by 4
-12x-4y=16
-9x+4y=8
__________
-21x=24
divide each side by -21 and simplify
x= -[tex]\frac{8}{7}[/tex]
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2chocolates left. Write an equation showing how many friends were at the party.
An item is regularly priced at $77. Yasmin bought it at a discount of 15% off the regular price.
Step-by-step explanation:
15% of 77:
77 x (15/100) =11.55
so to find the discount price:
77-11.55=65.45
discount price= $65.45
How many dots are the next pattern?
. .. ... ....
. .. ...
. ..
.
that's the point, help me solve it.
i think it might be
. .. ... ....
or
. ..
Please help!!!
Complete the following proof
Given: DE || BC
Angle 1 = angle 2
Prove: AB = AC
Answer:
Step-by-step explanation:
statement-reason
DE=BC - given
Angle 1= Angle 2 - given
Angle 2= Angle 3 - corresponding angles
Angle 1= Angle 4 - corresponding angles
Triangle ADE is congruent to Triangle ABC by AAS
therefore AB= AC
Q.E.D.
Can y’all help me I don’t get this??
Answer:
i think the 3 one
Step-by-step explanation:
QUESTION 3 of 10: You sample a 2 square mile neighborhood and find 20 people in your target demographic. If your trade area has a radius
of 10 miles and the population across the area is similar to your sample neighborhood, how many people in your target demographic live in
your trade area?
a) 1,000
b) 1,760
Oc) 3,140
d) None of the Above
Answer:3,140
Step-by-step explanation:
Given the formula for volume of a box, V=lwh, which answer would you get if you solve for h?
Answer:
Step-by-step explanation:
h=V/lw
What is the change in the y-values and x-values on the graph?The change in the y-values is 40 and the change in the x-values is 1.
Answer:
If you are asking for the slope
Step-by-step explanation:
m = 40