Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
Teresa tiene 1 chocolate.
Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:
1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.
Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:
2/3 - 1/4
recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:
(4/4)*(2/3) - (3/3)*(1/4)
(a cada fracción la multiplico y divido por el denominador de la otra)
8/12 - 3/12 = (8 - 3)/12 = 5/12
Es decir, Teresa finalmente tiene 5/12 del chocolate.
Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:
1 - 5/12 = 12/12 - 5/12 = 7/12
Ella repartió 7/12 de su chocolate.
La fracción de chocolate que repartió Teresa es 7/12
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]
That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're provided that:
Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.So, the total part she gave is addition of those fractions.
Total part of chocolate Teresa gave = 1/3 + 1/4
LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).
Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]
And their addition is:
[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]
Thus, the portion of the chocolate that Teresa distributed is 7/12.
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help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
There were 234 beads in each bag Lisa bought 3 bags of beads and have 87 beads away how many beads did she have left
Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,
Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
f(x)= |3x+4| + 2
g(x)= 4
find (f + g) (x)
Answer:g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2. In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100.
Step-by-step explanation:
yuhhh babyyyy
f(x) = x^2 + 1 is limited to (0, 1, 2, 3), what is the maximum love you all of the range?
Answer:
2
Step-by-step explanation:
f(x)=x^2+1
now,
f(1)=1^2+1
=1+1
=2
In a pet shop, there are 6 kittens. Three kittens will be donated to a nursing home.
How many different 3-kitten groups are possible?
A.60
B.20
C.120
D.18
Answer:
20
Step-by-step explanation:
There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third
6*5*4
But order doesn't matter
Divide by the number of items factorial
3! = 3*2*1 = 6
6*5*4
--------
6
20
I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!
Answer:
sin C = 12/13
Step-by-step explanation:
Since this is a right triangle
Sin C = opp side / hypotenuse
sin C = 36/39
sin C = 12/13
It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
what is the answer to this polynomial (5x-2)^2?
Answer:
Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).
Step-by-step explanation:
Answer:
25x^2 -20x +4
Step-by-step explanation:
(5x-2)^2
FOIL
(5x-2)(5x-2)
25x^2 -10x -10x +4
25x^2 -20x +4
A. It is not possible to determine if the triangles are congruent
B. ∆ABD ≅ ∆CBD by the SAS Postulate
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Hope it helps :)
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = [tex]{-0.5+2.3}[/tex]
Sum = [tex]1.8[/tex]
Take the average of the sum
Average = [tex]\frac{1.8}{2} = 0.9[/tex]
Hence the halfway between the numbers is 0.9
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?
a. L(4-L) = 120
b. L(L-4) = 120
c. 2(L-4) + 2L = 120
d. 2(4-L) + 2L = 120
Helpp please and thank u :')
Answer:
b
Step-by-step explanation:
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
t=46°
u=134°
v=23°
w=23°
Answer:
Solution given;
v=w [base angle of triangle]
<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]
81+v+53+w=180°
134°+v+v=180°
2v=180°-134°
v=46/2
v=23°
w=v=23°
In triangle ∆ PQR
v+w+u=180°[sum of interior angle of a triangle]
23+23+u=180°
u=180°-46°
u=134°
again
In triangle ∆ PSR
t+81+53=180°
t=180°-134°
t=46°
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46u = 180 - t = 180 - 46 = 134v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
125 = a 5 ise a kaçtır? A3 B) 4 C) 5 D) 25
Answer:
D
Step-by-step explanation:
25×5=125
I hope it helps
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
Solve any question of Coordinate Geometry with.
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What is the value of this variable
9514 1404 393
Answer:
48
Step-by-step explanation:
The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.
(70 +x)/2 = 59
x = 2×59 -70
x = 48
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
Using Cramer's Rule, what are the values of x and y in the solution to the system of linear equations below? -2x + 3y + z = 7 -4x - y -2z = 15 x + 2y +3z = -7
Answer:
x = -3
y = 1
z = -2
Step-by-step explanation:
-2x + 3y + z = 7
-4x - y -2z = 15
x + 2y +3z = -7
|-2 3 1|
|-4 -1 -2|
|1 2 3|
Determinant of this from online determinant calculator is;
D = 21
For Dx, we have;
|7 3 1|
|15 -1 -2|
|-7 2 3|
Determinant of this from online determinant calculator is;
Dx = -63
For Dy, we have;
|-2 7 1|
|-4 15 -2|
|1 -7 3|
Determinant of this from online determinant calculator is;
Dy = 21
For Dz, we have;
|-2 3 7|
|-4 -1 15|
|1 2 -7|
Determinant of this from online determinant calculator is;
Dz = -42
From creamers rule;
x = Dx/D
y = Dy/d
z = Dz/d
Thus;
x = -63/21
x = -3
y = 21/21
y = 1
z = -42/21
z = -2
Thus,
x = -3
y = 1
z = -2
Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
what is 1*24 equals to
1*24= 24....
when any number is multiplied by one it gines the same no. for eg 241526×1=241526..
doesn't matter how greayer or smaller the number is....
Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*
Answer:
A- The mean, because the data distribution is symmetrical
Step-by-step explanation:
When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.
The measure of an angle is 112.7º. What is the measure of its supplementary angle?
Answer:
67.3
Step-by-step explanation:
Let x = unknown angle
Supplementary angles add up to equal 180
Hence 112.7 + x = 180
Solve for x
112.7 + x = 180
Subtract 112.7 from both sides
x = 67.3
An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3
What is the height, x, of the equilateral triangle shown?
Answer:
B
Step-by-step explanation:
- Divide the base by 2
10 / 2 = 5 in
- multiply by √3
5√3 in
What is -4 square root of 12 + the square root of 75 in simplest radical form?
HELP PLEASE
BRAIN FOR CORRECT
Answer:
Step-by-step explanation:
-7q+12r=3q-4r
-10q=-16r
r=(5/8)q
I think its correct
Answer:
r = 5/8(q)
Step-by-step explanation:
−7q + 12r = 3q − 4r
Add 4r to both sides:
−7q + 12r + 4r = 3q − 4r + 4r
−7q + 16r = 3q
Add 7q to both sides:
−7q + 16r + 7q = 3q + 7q
16r = 10q
Divide both sides by 16:
(16r)/16 = (10q)/16
r = 5/8(q)
the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle
Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000