Answer:
x = -4
Step-by-step explanation:
3(4x+2)=20x-9x+2
12x +6 = 11x +2
1x = -4
8.4 Sampling on Campus. You would like to start a club for psychology majors on campus, and you are interested in finding out what proportion of psychology majors would join. The dues would be $35 and used to pay for speakers to come to campus. You ask five psychology majors from your senior psychology honors seminar whether they would be interested in joining this club and find that four of the five students questioned are interested. Is this sampling method biased, and if so, what is the likely direction of bias
Answer:
To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.
If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.
For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,
1.2 x 1000 = 1200 g
If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.
For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,
12 / 100 = 0.12 m
Step-by-step explanation:
the size of an interior angle of a rectangular polygon is(3x)⁹ while the exterior angle is (X-20)⁰.find the number of side of the polygen.
Answer:
12 sides
Step-by-step explanation:
The sum of the exterior angle and the interior angle = 180° , then
3x + x - 20 = 180
4x - 20 = 180 ( add 20 to both sides )
4x = 200 ( divide both sides by 4 )
x = 50
Then
exterior angle = x - 20 = 50 - 20 = 30°
The sum of the exterior angles of a polygon = 360°
The number of sides n is sum divided by 1 exterior angle , that is
n = 360° ÷ 30° = 12
Solve the inequality
3(x-2)>-3
Answer:
x>1
Step-by-step explanation:
m at h w ay
359, 352,345,...
{Find the 38th term.}
Answer:
100
Step-by-step explanation:
Here, the series is in A.P.
first term a = 359
common difference d = 352-359 = -7
therefore, 38th term = a + [n-1] d
= 359 + (38 -1) (-7)
= 359 - 259
= 100
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
A. -22 and -2
B. -12 and -12
C. -20 and -4
D. -10 and -14
Answer:
B .-12 and -12
Step-by-step explanation:
it is because when we multiply two -digit the answer is in +
so like in the same -12 * -12=144
And when we add the digit we get -24
Hence, it is proved
At the city museum, child admission is $5.20 and adult admission is $9.00. On Wednesday, four times as many adult tickets as child tickets were sold, for a total sales of $1359.60. How many child tickets were sold that day?
Answer:
33
Step-by-step explanation:
The amount of child tickets sold this day is x, when the amount of adult tickets is 4x
5.2x- the money from children, 9*4x=36x- the money from adults,
5.2x+36x= 1359.6
41.2x=1359.6
x=33- the amount of child tickets
Simplify to create an equivalent expression.
Answer:
A
Step-by-step explanation:
Given
- k - (- 8k + 7) ← distribute parenthesis by - 1
= - k + 8k - 7 ← collect like terms
= 7k - 7 → A
Answer:
7k + 7
Step-by-step explanation:
-k - (-8k + 7)
-k + 8k + 7
7k + 7
give brainliest please I need it to level up
Can someone please answer this question.
Use the Pythagorean theorem to solve for the diagonal distance
Diagonal = sqrt(50^2 + 150^2)
Diagonal distance = sqrt(25,000)
Diagonal distance = 158.11 feet
Round to 158 feet.
If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.
The distance they saved = 200-158 = 42 feet
Answer: 42 feet.
(50 Points) ∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Solution:The sum of supplementary angle is 180°
First, solve for the value of y.
∠1 + ∠2 = 180°(4y + 7) + (9y + 4) = 180°13y + 11 = 180°13y = 180° - 1113y = 169/13y = 13°Then, plug and substitute the value y = 13 to find the m∠2.
m∠29y + 49(13) + 4117 + 4121Answer:The angle of m∠2 is 121The measure of angle 2 is 121 degrees.
Given:
[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]
Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]
To solve this problem, create an equation to find the value of x:
Thus:
[tex]m\angle1 +m\angle2=180[/tex]
Therefore:
[tex](4y+7)+(9y+4) = 180\\[/tex]
Solve for y:
[tex]4y+7+9y+4 = 180\\\\[/tex]
Add like terms:
[tex]13y+11 = 180\\\\[/tex]
Subtract 11 from both sides
[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]
Divide both sides by 13
[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]
Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]
[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]
Therefore, m∠2 = 121 degrees.
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The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
The median will decrease.
The mean will decrease.
The median will increase.
The mean will increase.
Answer: The mean will decrease
Step-by-step explanation:
Answer:
the other person is correct
Step-by-step explanation:
Which of the following uses scientific notation INCORRECTLY?
9.1 x 10 squared
4.23 x 10-2
75.3 x 102
O 8 x 10-6
write an arithmetric sequence with at least four terms, and describe it using both an explicit and recursive definition
An arithmetic sequence with at least four terms is 1, 5, 9, 13, 17, 21....
In an arithmetic sequence, it should be noted that the difference between a terms and the next term that follows is always constant.An example of an arithmetic sequence is 1, 5, 9, 13, 17, 21... The formula to find the nth term of an arithmetic sequence is: = a + (n - 1)dwhere,
a = first term = 1
n = number of terms
d = common difference = 5 - 1 = 4
From the example given, the first term is 1, and the common difference is 4
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6(-3m+1) = 5(-2m-2)
I need help lol
Answer:
2
Step-by-step explanation:
you multiply the 6 and 5 to the parethinsis and simplify
465,321;456,321;456,231. Order from least to
greatest
-(x)+2)=2(3x-6) awnser
Answer:
[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]
pls give me answer fast and thank you
Answer:
1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex] (x ≠ 2,5)
=> 2(x + 3) = 3(2x - 5)
⇔ 2x + 6 = 6x - 15
⇔ 4x = 6 + 15
⇔ 4x = 21
⇔ x = 5,25
2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)
⇒6( 5y - 2) = 5(2y + 8)
⇔30y - 12 = 10y + 40
⇔ 20y = 52
⇔ y = 2,6
3) the denominator of the rational number is x (x ≠ 0)
because the denominator is greater than the numerator by 6
=> the numerator is x - 6
If the numerator is decreased by 1 and the denominator increased
by 1 , the number obtained is 1/3. so we have:
[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]
⇒ 3(x - 7) = x + 1
⇔ 3x - 21 = x + 1
⇔ 2x = 22
⇔ x = 11
with x = 11 => the rational number is 5/11
4) the number we need to find is ab (a ≠ 0)
because Sum of the digits of this number is 8
=> a + b = 8 (*)
When we interchange the digits , it is found that the resulting new number is less than the original number by 18, we have:
ab - ba = 18
⇔ 10a + b - (10b + a) = 18
⇔ 9( a - b) = 18
⇔ a - b = 2 (**)
(*)(**) => a + b = 8
a - b = 2
=> a = 5
b = 3
=> the original number is 53
5) the present Arjun's age is x (years old)( x, y E N*)
the present Shriya's age is y
because now, Arjun is twice as old as Shriya => x = 2y
Five years ago, his age was three times Shriya’s age, we have:
=> x - 5 = 3(y - 5)
⇔ x - 5 = 3y - 15
⇔ 3y - x = 10
but x = 2y => y = 10
=> x = 20
so now, Arjun is 20 years old, Shriya is 10 years old
Step-by-step explanation:
15 - 4 Divided 1/4 + 2 =
Answer:
Step-by-step explanat15 - 4: 1/4 + 2 =
15 - 4 × 4 + 2 =
15 - 16 + 2 =
-1 + 2 =
1ion:
The value of the given expression will be 1.
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given that, 15–4 Divided 1/4 + 2 =
Converting the statement into n mathematical expression, we get
15-4÷1/4+2
= 15-4×4+2
= 15-16+2
= -1+2
= 1
Hence, The value of the given expression will be 1.
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two candles, each initial length of 30cm, are 20cm apart. the thinner candle burns at a rate of 1cm every 8 minutes and the other candle burn at a rate of 1 cm every 10 minutes. find two possible lengths for the distance between the tops of the two candles, if the candles can burn up for 3 hours.
Thinner candle:
y = length of the candle
x = rate it burns at every minute
y = -1/8x + 30
Thicker candle:
y = length of the candle
x = rate it burns at every minute
y = -1/10x + 30
To find the length after 3 hours:
y = -1/8(180) + 30
y = -1/10(180) + 30
solve the equation 2x²-x-8=0
Answer:
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Step-by-step explanation:
[tex]2x ^{2} - x - 8 = 0[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]
[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]
[tex]x = \frac{1± \sqrt{65} }{4} [/tex]
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Answer:
[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]
Step-by-step explanation:
Using the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]
Perpendicular to the line y=4x+8 and contains the point (-8,4) in standard form.
Car A costs $10,000 to buy and costs an average of $0.25 per mile to maintain. Car B costs $15,000 to buy and costs an average of $0.15 per mile to maintain. After how many miles would the total cost for each car be the same?
Answer: respuesta A EN 40000 millas
en EN 1000000B
Step-by-step explanation
What is the midpoint of segment AB when A is at (5,7) and B is at (3,1)?
Answer:
(4, 4)
Step-by-step explanation:
A (5,7) and B (3,1)
To find the midpoint of a line segment, use this formula.
[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]
(x1, y1) = coordinates of first point
(x^2, x^2) = coordinates of second point.
Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.
Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.
[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]
[tex]midpoint = (4, 4)[/tex]
Therefore, the midpoint of segment AB is (4,4).
Let me know if you have any further questions.
The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:
Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]
The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).
Plugging in the coordinates:
x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4
y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4
Therefore, the midpoint of segment AB is (4, 4).
Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
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Melanie buys 2 goldfish per month. How many goldfish will she have after a year?
Determine whether this scenario represents a functional relationship or not.
Answer:
functional relationship
Step-by-step explanation:
2 goldfish per month
how many in a year
12 months in a year
24 goldfish in one year
पाठका सहायताले तलका उखानहरूको अर्थ लेख्नुहोस् : (क) सपनामा खोले खाएको भनेको यही हो
Answer:
pura na hune kaam hunxa vanera jabarjasti garnu. maybe
John is saving to buy a new car. His parents gave him $50 to start off. And he earned $20 per day working at the dairy farm. Write an equation that represents the situation given.
What kind of math is this and how do I solve this?
Find the slope of the line through each pair of points (-15,-12),(-13,-19)
Answer:
-7/2
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-19-(-12)/-13-(-15)
-7/2
Best of Luck!
Steven works at the Pi Day food truck and he gets paid $9 per hour x. If 1 point
last night he made $30 in tips, find his total pay equation p(x). (Standard 5-
HSF-IF.A.2) *
p(x)=9+30x
p(x)=39x
p(x)=39+x
p(x)=9x+30
Please awnser
Find m
Find m
Answer:
x = 37
m∠a = 104°
m∠b = 76
Step-by-step explanation:
Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.
3x - 7 + 2x + 2 = 180
~Combine like terms
5x - 5 = 180
~Add 5 to both sides
5x = 185
~Divide 5 to both sides
x = 37
~Find the measure of angle A
3(37) - 7
104
~Find the measure of angle B
2(37) + 2
76
Best of Luck!
What is 11x(-6)?
please answer i really need this!
Answer:
-66
Step-by-step explanation:
11 × (-6) = -66
the width of rectangle is 2w, and the length is (w+5). the perimeter is 40 inches. what are the measurements of the rectangle?
Width = 2w , Length = w+5 , perimeter = 40
Perimeter of rectangle = 2 (Length + Width)
P= 2 (L + w)
40 = 2 [ (w+5) + (2w) ]
40 = 2 ( 3w+5)
40= 6w +10
6w= 40 – 10
6w= 30
w = 30/6
w = 5
Width = 2w = 2(5) = 10
Length = w + 5 = 5+5 = 10
I hope I helped you^_^
