Solve for
y
in the first equation.
Tap for more steps...
y
=
−
20
+
4
x
−
2
x
−
2
y
=
10
Replace all occurrences of
y
in
−
2
x
−
2
y
=
10
with
−
20
+
4
x
.
y
=
−
20
+
4
x
−
2
x
−
2
(
−
20
+
4
x
)
=
10
Simplify
−
2
x
−
2
(
−
20
+
4
x
)
.
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y
=
−
20
+
4
x
−
10
x
+
40
=
10
Solve for
x
in the second equation.
Tap for more steps...
y
=
−
20
+
4
x
x
=
3
Replace all occurrences of
x
in
y
=
−
20
+
4
x
with
3
.
y
=
−
20
+
4
(
3
)
x
=
3
Simplify
−
20
+
4
(
3
)
.
Tap for more steps...
y
=
−
8
x
=
3
The solution to the system of equations can be represented as a point.
(
3
,
−
8
)
The result can be shown in multiple forms.
Point Form:
(
3
,
−
8
)
Equation Form:
x
=
3
,
y
=
−
8
The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].
What is substitution method?The substitution method can be defined as a way to solve a linear system algebraically. The substitution method works by substituting one y-value with the other. To solve it easily, the method involves finding the value of the x-variable in terms of the y-variable. After that, we then end up substituting the value of x-variable in the second equation. This helps us to directly find the value of the y-variable. We can now put the value of y in any of the given equations to find x.
The given system of equations are:
[tex]y + 8x = 10[/tex]..... (1)
[tex]2y - 4x = 40[/tex]..... (2)
The given value of [tex]x = - 1[/tex]. Therefore, the given value of 'x' satisfies for both the equations given.
Now using substitution method, substituting the value of 'x' in the equation(1), we will get the value of 'y'.
Therefore:
[tex]y + 8(-1) = 10[/tex]
⇒ [tex]y = 10 + 8[/tex]
⇒ [tex]y = 18[/tex]
Again, we can verify the value of 'y' by substituting the value of 'x' in equation (2).
Therefore,
[tex]2y - 4(-1) = 40[/tex]
⇒ [tex]2y = 40 - 4[/tex]
⇒ [tex]y = \frac{36}{2}[/tex]
⇒ [tex]y = 18[/tex]
Hence,
The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].
To learn more about substitution method here: https://brainly.com/question/14619835
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The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
Suppose that F(x)=x3 and G(x)=-5x3+2 which statement best compares the graph of g(x) with the graph of F(x)
Answer:
The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up
Step-by-step explanation:
I like math.
-7/20 as a decimal number
Answer:
- 0.35 is the answer.
hope this answer will help you
Answer:
-0.35
Step-by-step explanation:
multiply -7/20 by 5 = -35/100 which also equals -0.35
What is the surface area of the cuboid 3cm 5cm and 2cm.
Answer:
SA = 62 cm2
Step-by-step explanation:
The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
What is the formula for the total surface area of a cuboid?The total surface of the cuboid = 2(LB+BH+HL)
Consider that the length, width, and height of the cuboid are L, B, and H.
The cuboid is given in the question
Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.
The surface area of the cuboid = 2(LB+BH+HL)
Here L = 3 cm, B = 5 cm, and H = 2 cm
Substitute the values in the above formula, and we get
The surface area of the cuboid = 2(3 × 5 + 5 × 2 + 2 × 3)
The surface area of the cuboid = 2(15 + 10 + 6)
The surface area of the cuboid = 2(31)
The surface area of the cuboid = 62 cm²
Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
Learn more about the cuboids here:
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What is the lowest common denominator of 1/32 and 2/3
Answer:
96
Step-by-step explanation:
The least common denominator or lowest common denominator is the smallest multiple that the denominator (that is the number on the bottom of a fraction) has in common.
Since 32, and 3 have no common factors, one simply has to multiply them to find the least common denominator.
32 * 3 = 96
la razon de 3 librasa $ 6.00
Answer:
I would love to help you so much but I don't understand
please help asap please
Answer:
Option A
Step-by-step explanation:
two column triangle proof.
Answer:
BD ≅ BD Reflexive Property of Congruence
∠ADB ≅ ∠CDB Definition of Angle Bisector
I'm taking Geometry this year actually. Hope this helps!
Answer:
The statement is triangle BAD ≅ triangle BCD. The reason is SSS or side-side-side
Is -8 - 2(3 + 2x) + 7x equivalent to -30 -13x?
Answer:
They are NOT equivalent.
Step-by-step explanation:
To find if the expressions are equivalent, we have to simplify the first expression.
Solve:
-8 - 2(3 + 2x) + 7x
Use the distributive property.
-8 - 6 - 4x + 7x
Combine like terms.
-14 - 4x + 7x
-14 + 3x
Since they're not the same, this means that the expressions are NOT equivalent to each other.
What is the answer to number 7
Answer:
Your answer should be D
Step-by-step explanation:
Because he added his terms correctly and divided correctly
two segments are ___?__if they have the same measure
Answer:
equal
Step-by-step explanation:
give me brainlyest plz
Answer:
Congruent
Step-by-step explanation:
Congruent means that two shapes or lines are equal and have the same measure. Therefore, the word congruent would best fill the blank. For example, if two lines both had a measurement of 7 units then they would be considered congruent.
Which of the following is a horizontal line?
1) y = x
2) x = 4
3) y = 4
4) y = -4x + 1
Answer:
3) y=4
Step-by-step explanation:
Answer:
y=x
Step-by-step explanation:
bcoz in graph work its normally y=x
Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?
Answer:
C=2.50r+5.25
Step-by-step explanation:
(r represents each ride cost)
5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.
Line segment AB has a length of 1 unit. It is translated 4 units to the right on a
coordinate plane to obtain line segment A'B'. What is the length of A'B'?
Answer:
1 unit
Explanation:
We know that line segment AB is 1 unit long, and that it is translated 4 units to the right to obtain line segment A'B'. A translation is a type of rigid transformation - which means that the shape stays the same as it is moved on a coordinate plane. Therefore, the length of line segment A'B' would be the same as line segment AB: 1 unit.
Help please! I’ll give brainliest
what is 7/8, 0.98, 98.5% from least to greatest
first 7/8 as a decimal then you divide 7 and 8 making it o.875 then you already know 98.5 is bigger because of the whole number and 0,98 is bigger than 0.875
Step-by-step explanation:
Answer:
7/8 = 87.5%
0.98 = 98%
98.5%
answer is
7/8,0.98,98.5%
A box of 10 flashbulbs contains 2 defective bulbs. A random sample of 2 is selected and tested. Let x be the random variable associated with the number of defective bulbs in the samplea. find the probability distribution of Xb. find the expected number of defective bulbs in a sample
Step-by-step explanation:
The probability of selecting no bad ones is the probability of
selecting 2 from the 8 good bulbs, which is C(8,2)/C(10,2) or it can also be written as (8C2)/(10C2) = 28/45
The probability of selecting 1 good one and one bad one, is the
probability of selecting 1 from the 8 good bulbs, and one from
the 2 bad ones, which is [C(8,1)C(2,1)]/C(10,2) or as some people
write it (8C1×2C1)/(10C2) = 16/45.
The probability of selecting two bad one, is C(2,2)/C(10,2) or
as some people write it (2C2)/(10C2) = 1/45.
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82%There are 24 students in a class.
8 of the students are boys.
b)
a)
Write the amount of boys in the class as a fraction in its simplest form.
b)
Write the amount of girls in the class as a fraction in its simplest form.
Answer:
Boys: 1/3
Girls: 2/3
Step-by-step explanation:
There are 8 boys in the class out of 24 students.
The fraction will be 8/24. Both the numerator and the denominator are divisible by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
The simplest form will be 1/3.
There are 16 girls in the class because 24 - 8 = 16.
The fraction will be 16/24. Both numbers are divisible by 8.
16 ÷ 8 = 2
24 ÷ 8 = 3
The simplest form will be 2/3.
Hope that helps.
Simplify the expression.
(3 + 7) − 12 ÷ 4
A) 1
B) 4
C) 6
D) 7
D) 7
(3 + 7) -add [3+7= 10]
10-12÷4- then divide [12÷4=3]
now take 10 and 3 and subtract
10-3= 7
D) 7
what's the inequality describes all possible length of AB?
Answer:
We conclude that inequality describes all possible lengths of AB
13 < x < 35Option C is true.
Step-by-step explanation:
We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Now, checking the interval of the length of the side 'x', such as:
24 + 11 = 35
24 - 11 = 13
so the possible lengths of the side 'x' will be:
13 < x < 35
Therefore, we conclude that inequality describes all possible lengths of AB
13 < x < 35Hence, option C is true.
Write an equation in slope-intercept form for the line with slope -2 and y-intercept 9.
in triangle DEF, DE=EF and G is the midpoint of EF. if the measure of GDE=10 what is the measure of E?
Note: It seems you may have forgotten to attach the diagram. Hence, I am attaching the potential diagram of your question.
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
m∠GDE = 10°
DE = EF
G = midpoint of EF
To Determine
m∠E =?
Solving
As DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.So, the right angle G is m∠DGE = 90°
as
m∠GDE = 10° m∠DGE = 90° m∠E = ?We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
m∠E = 180° - 10 - 90
m∠E = 80°
Therefore, we conclude that the measure of angle E is:
m∠E = 80°What is the relationship
Answer:
Alternate Interior Angles
In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the
hypotenuse and other leg.
Answer:
in the explanation
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the leg opposite to 30 to the leg opposite to 60 to the hypotenuse is 1:[tex]\sqrt{3\\}[/tex]:2.
So, the 7 inch leg is the 1, the other leg is 7[tex]\sqrt{3}[/tex] in and the hypotenuse is 14 in.
Hope this helps!
What is the volume of the pyramid in cubic millimeters
Answer:
[tex]V=\dfrac{1}{3}\times A\times h[/tex]
Step-by-step explanation:
The volume of the pyramid is given by the formula as follows
[tex]V=\dfrac{1}{3}\times A\times h[/tex]
A is the area of the base
h is height of the pyramid
If the area and height are in millimeters, the volume of the pyramid will be in cubic millimeters.
Rachel’s gym charges a one-time registration fee of $45 and a monthly fee of $39. Which function can be used to find y, the total charges at this gym for x months?
Answer: 39x+45=y
Step-by-step explanation:
The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
What is the next number in this geometric sequence?
-3.24, 9.72,-29.16, 87.48,
A. 262.44
B. 174.96
C.-262.44
D. -174.96
Answer:
C. -262.44
Step-by-step explanation:
-3.24, 9.72,-29.16, 87.48
-3.24*-3= 9.72, 9.72*-3= -29.16, -29.16*-3= 87.48
the rule for this sequence is multiplying by -3
87.48*-3= -262.44
Use the expression (a+b)(c-d)+9e(a+b)(c−d)+9eleft parenthesis, a, plus, b, right parenthesis, left parenthesis, c, minus, d, right parenthesis, plus, 9, e to find an example of each kind of expression.
Kind of expression
Example
Answer:
Difference: ¨c-d¨ variable: ¨a¨ coefficient: ¨9¨
Step-by-step explanation:
Just trust me bro
I have a question is $20.21 for the gym membership expensive money or not
Answer:
It depends
Step-by-step explanation:
Planet Fitness offers 10 bucks a month but they suck (Lunk alarm + pizza nights? really?) If they offer good services like 24 hour fitness or good equipment then go for it my guy!