Answer:
x=3,y= -4
Step-by-step explanation:
ii) x-2y=11
x=11+2y-----(i)
Now,
i) -7x-2y= -13
or, -7(11+2y)-2y= -13
or, -77-14y-2y = -13
or -14y-2y = -13+77
or -16y = 64
or y =64÷(-16)
:: y = -4
Again,
(ii) x-2y= 11
or x-2(-4)= 11
or x+8 = 11
or x = 11-8
:: x = 3
5xy/3 divided by 15x/2 Write the quotient in simplest form.
Answer:
[tex] \sf \large \frac{1}{18} {x}^{2} y[/tex]
Step-by-step explanation:
5xy/3/15x/2
= 1/18x²y
4 - 1 1/4
A. 3 1/4
B. 3 3/4
C. 2 3/4
D. 2 1/4
Which statement is true about the two lines whose equations are given below?
A. The lines are parallel.
B. The lines are perpendicular.
C. The lines intersect but are not perpendicular.
D. The lines coincide.
Answer: C. The lines intersect but are not perpendicular.
Step-by-step explanation:
The correct option is C, the lines intersect but are not perpendicular.
How to determine the equation of the line?To determine which statement is true about the two lines whose equations are given below:
y = 3x + 2
y = -4x + 9
We can compare the slopes of the two lines. The slopes of these lines are 3 and -4 respectively.
Two lines are parallel if and only if their slopes are equal. Since the slopes of these lines are not equal, we can eliminate options A.
Two lines are perpendicular if and only if the product of their slopes is -1. The product of the slopes of these lines is -12, which is not equal to -1. Hence, we can eliminate options B.
Since the lines are neither parallel nor perpendicular, they intersect. To determine whether they intersect perpendicularly, we can compute the angle between them using the slopes.
The angle between two lines is given by the formula:
[tex]tan \theta = \dfrac{(m_2 - m_1)}{ (1 + m_1m+_2)}[/tex]
where m₁ and m₂ are the slopes of the two lines.
Substituting the slopes of the given lines, we get:
[tex]tan \theta = \dfrac{|(-4 - 3)} { (1 + (3 \times -4))|} \\[/tex]
tanθ = 7 / 11
Therefore, the correct option is C: the lines intersect but are not perpendicular.
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The missing equation of lines are:
y = 3x + 2
y = -4x + 9
Liam babysat for 3 1/2 hours and made $31.50. How much money does he make per hour?
Answer:
$9 per hour
Step-by-step explanation:
31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9
Hope this helps! :3
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The scale on the map is 2 inches = 50 miles. If the distance between the two cities is 175 miles, how many
inches would this be on the map?
Answer:
7 inches
Step-by-step explanation:
you divide 50 into 150 and then you get 3.5. then you take 3.5 and times it by 2 to get 7.
If EF = x + 3, FG = 3x, and EG = 7, what is FG?
Answer:
FG = 3
Step-by-step explanation:
let me know if you are still confused!
cual de las siguientes compraraciones es correcta? a)1\8>1\2 b) 1/3<1\5 c)1\12>1\100 d)1\4>1\6
Las comparaciones correctas son (c) ( 1/12 ) > ( 1/100 ) y (d) ( 1/4 ) > ( 1/6 ).
Considere las comparaciones,
Para la opción (a),
( 1/8 ) > ( 1/2 )
Ahora, encuentre el valor de cada término en forma decimal.
( 1/8 ) = 0.125 y;
( 1/2 ) = 0.5
Por lo tanto, ( 1/2 ) > ( 1/8 )
Por lo tanto, esta opción es incorrecta.
Para la opción (b),
( 1/3 ) < ( 1/5 )
Ahora, encuentre el valor de cada término en forma decimal.
( 1/3 ) = 0.333 y;
( 1/5 ) = 0.2
Por lo tanto, ( 1/3 ) > ( 1/5 )
Por lo tanto, testa opción es incorrecta.
Para la opción (c),
( 1/12 ) > ( 1/100)
Ahora, encuentre el valor de cada término en forma decimal.
( 1/12 ) = 0.0833 y;
( 1/100 ) = 0.01
Por lo tanto, ( 1/12 ) > ( 1/100 )
Por lo tanto, esta opción es incorrecta.
Para la opción (d),
( 1/4 ) > ( 1/6 )
Ahora, encuentre el valor de cada término en forma decimal.
( 1/4 ) = 0.25 y;
( 1/6 ) = 0.1666
Por lo tanto, ( 1/4 ) > ( 1/6 )
Por lo tanto, esta opción es correcta.
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which number below is a prime number 16 36 23 24
Answer:
23 is a prime number
Step-by-step explanation:
hsjsnsusjsbaknsjisnbs
y = -4× - 5
y = -4× + 5
6y = -24
y = -24/6
y = -4
I guess is the answer
Do the points lie on the same line? Explain your answer.
G(3,3), H(-1,5), X(5,7)
Choose the correct answer below.
O A. The slopes of all three pairs of coordinates are not equal. Therefore, the points do lie on the same line.
OB. The slopes of all three pairs of coordinates are equal. Therefore, the points do lie on the same line.
O C. The slopes of all three pairs of coordinates are equal. Therefore, the points do not lie on the same line.
OD. The slopes of all three pairs of coordinates are not equal. Therefore, the points do not lie on the same line.
What is the answer of 5/6 -3/6
Answer:
0.33333333333
Step-by-step explanation:
(0.83333333333)-(0.5)=0.33333333333
Answer:
the answer is 2/6 or 1/3 if needed to be simplified
when subtraction fractions, if they have the same denominator, you only have to subtract the numerators
Step-by-step explanation:
If there are 180 grams of radioactive material with a half-life (decrease by half or 50%) of 1 hour, how much of the radioactive material will be left after 3 hours?
Answer:
After 3 hours there is left 22.5 grams of radioactive material.
Step-by-step explanation:
We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:
[tex]N_{t} = N_{0}*e^{-\lambda t}[/tex] (1)
Where:
[tex]N_{0}[/tex]: is the initial mass = 180 g
[tex]N_{t}[/tex]: is the remaining mass after time t
λ: is the decay constant
The decay constant is given by:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]
Where [tex]t_{1/2}[/tex] = 1 h.
By entering λ into equation (1) we hve:
[tex] N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t} [/tex]
[tex] N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g [/tex]
Therefore, after 3 hours there is left 22.5 grams of radioactive material.
I hope it helps you!
Express 80% as a fraction or mixed number in simplest form
Answer: 4/5
Step-by-step explanation:
80%=
100% * 80/100 =
1 * 80/100=
80/100=
8/10=4/5
complete the proof that
In the given image:∠TUX ≅ ∠UXY - Alternate angles
What are alternate angles?When two parallel lines are cut by a transversal, the resulting alternate interior angles or alternate exterior angles are congruent, according to the alternate angle theorem. To demonstrate: If a transversal cuts two parallel lines, the alternate interior angles are equal. When a transversal intersects two or more parallel lines at different points, alternate exterior angles are formed. The term exterior refers to something that is located on the outside. Alternate exterior angles are always located on opposite sides of the transversal and always lie outside two lines intersected by the transversal.So, in the given image:
∠TUX ≅ ∠UXY - Alternate anglesTherefore, in the given image:∠TUX ≅ ∠UXY - Alternate angles
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The price of a flight was increased by 2% to £700. What was the price before the increase? Give your answer to the nearest penny
Answer:
£686.27 (nearest penny)
Step-by-step explanation:
100%+2% --- £700
102% --- £700
100% --- [tex]\frac{100}{102}[/tex] × £700 = £686.27 (nearest penny)
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 15 times with the results shown in the table. Results 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 The experimental probability of rolling an odd number is %, which is % more than the theoretical probability.
Let us consider,
A special [tex]8-[/tex]sided die is marked with the numbers [tex]1[/tex] to [tex]8[/tex].
The odd numbers on the die are [tex]1,3,5,7.[/tex]
The even numbers are [tex]2,4,6.[/tex]
For the experimental sequence of [tex]15[/tex] rolls.
There are [tex]9[/tex] odd number out of 15, which is [tex](3,5,7,1)[/tex].
So the experimental probability is,
[tex]\frac{9}{15} =\frac{3}{5} \\\\=0.60\\[/tex]
[tex]\implies0.60=60[/tex] %
The theoretical probability given that there are odd numbers [tex](1,3,5,7)[/tex] out of [tex]8[/tex] on the dice should be [tex]50[/tex] % because [tex]\frac{1}{2}[/tex] of the numbers are prime.
Thus,
The theoretical probability is [tex]50[/tex] % .
Then,
[tex]60[/tex]%[tex]-50[/tex]%[tex]=10[/tex]%
Hence, the experimental probability of rolling an odd number is [tex]60[/tex]%, which is [tex]10[/tex] % more than the theoretical probability [tex]50[/tex]%.
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Answer:
60%, 10%
Step-by-step explanation:
Plato/Edmentum
Tax rate 3.9% what is the tax on $42 round to nearest hundredth
I really need to know??
Answer:
the answer to this is 43.638 boi
Step-by-step explanation:
This is my answer to you question
10.76
Question:
Sara is making hot cocoa. The table represents the number of teaspoons of sugar Sara uses for the number of servings.
1. Graph the table of values.
2. By looking at the graph, how can you tell that the amount of cocoa is proportional to the number of servings?
Answer:
theres no graph sorry, maybe if u upload it i can help
Step-by-step explanation:
What is the equation is y=Mx+b form?
Answer: y=5x+ 10
Step-by-step explanation:
40-30/6-4=10/2=5
each time x moves 1 it moves 5 vertically so
4, 30
3, 25
2, 20
1, 15
0, 10
Find the area shaded in yellow 20 POINTS
the area of the yellow figure is 45 square units.
How to find the area of the figure shaded in yellow?The figure shaded in yellow can be decomposed in two simpler ones, a triangle of base of 4 units and height of 5 units, and a rectangle of 5 units by 7 units.
The area of the triangle is:
A = 4*5/2 = 10 square units
The area of the rectangle is:
A' = 5*7 = 35 square units.
Adding that we get:
A + A' = 10 square units + 35 square units = 45 square units.
Then the area of the yellow figure is 45 square units.
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i need help simplifying this problem
4 + d = 6; 2
I need help with this answer dose am
The value of d is 2.
We are provided with the following equation,
4 + d = 6
We are supposed to find the value of d in the above equation.
To solve the equation we need to apply basic mathematical operations. The steps that need to be followed to simply this equation are mentioned below,
4 + d = 6
To get the value of d we need to subtract 4 from both the sides of this equation. On substracting 4 from both the sides of this equation, we will get
4 + d - 4 = 6 - 4
⇒ d = 6 - 4
⇒ d = 2
Thus, the value of d in the equation 4 + d = 6 is 2.
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the two shorter sides in a right triangle have the same length . the area of the right triangle is 7.36 square meters. what is the length of the hypotenuse
The length of the hypotenuse is 5.426 meter
Let the two shorter sides of the right angles triangle be denoted as x meters.
The formula for the area of right triangle is given as,
A = ab/2
Where, a and b are the length of the shorter sides of the triangle
Also we have been given the area of the triangle which is 7.36 sq. meter
Thus , A = 7.36
x^2/2 = 7.36
x^2 = 14.72
x = 3.84
Now according to the Pythagoras theorem,
H = √P^2 + B^2
Where, H = hypotenuse
P = perpendicular
B = base
Now putting the required values we get
H = √x^2 + x^2
= √2x^2
= x√2
= 5.426 meter
Hence the length of the hypotenuse is 5.426 meter
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10, 8, 6, ...
Find the next term in the sequence.
Answer:
4
Step-by-step explanation:
Answer:
The next term is 4Step-by-step explanation:
I hope l helped you ❤❤❤I need helped with A, B and C pls i'm so stuck on it
is due by tmrw
Answer Step by Step
A. 2(6) - 5(-4) =
(12) - (-20) = 32
negative times negative equals positive
B. 4(-8) - 3(-4)
-32 - (-12) = -20
C. 3(-8) - 4 / (-4) =
(-28) / (-4) = 7
D. -4 - 3(6) / 3 - 5
(-22) / (-2) = -11
PLS PLS HELP !!! I need it :(
Answer:
It 4000
Step-by-step explanation:
r = -5 + 19. r = ?
Please help me with this
Answer:
r = 14
Step-by-step explanation:
r = -5 + 19
Simplify the right side by subtracting 5 from 19
r = 14
Raymond can paint 5/8 of a wall in 16 minutes. How long would it take to for him to paint 1/3 of a wall
Answer: 128/15 min or 8.5 min
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Solve for x.
7x - 2 = 126
Five less than eight times a number is equal to -1
Answer:
The algebraic expression is: [tex]8x-5=-1[/tex]
the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]
Step-by-step explanation:
Translating "Five less than eight times a number is equal to -1" into algebraic expression
Let the number = x
[tex]8x-5=-1[/tex]
Now solving the expression to find value of x
[tex]8x-5=-1\\Add\:5\:on\:both\:sides\\8x-5+5=-1+5\\8x=4\\x=\frac{4}{8}\\x=\frac{1}{2}[/tex]
So, the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]