Answer:
-6
Step-by-step explanation:
Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly
f(x) = 12 / 4x +2
Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side
f(-1) = 12/ 4(-1) + 2
f(-1) = 12 / - 4+2
= 12/ - 2
= - 6
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
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?
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]
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!
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
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:
Remove all perfect squares from inside the square root [tex]\sqrt{200}[/tex]
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).
Learn more about midpoint here;
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13) Rylee had a negative balance of $23 in her bank
account. Her cell phone bill charged this month's balance
of $56. What is Rylee's new balance?
Answer:
-$79
Step-by-step explanation:
If i read that correctly, Rylee had -$23 in her account.
Then, she was charged $56, meaning we have to subtract $56 from -$23. When we do -23 - 56, we get -79. Meaning, Rylee now has a balance of -$79.
Answer:
Step-by-step explanation:
The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2)
=
-$23.50(1 – 0.2)
=
-$23.50(0.8).
Determine the equation of the line that passaes through (2,4) and is perpendicular to thr line x+y=0
9514 1404 393
Answer:
x -y = -2
Step-by-step explanation:
The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...
x -y = constant
The value of the constant can be found using the x and y of the given point.
x -y = 2 -4 = -2
The perpendicular line is ...
x -y = -2
If LM=22 and MN=15,find LN
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
LN = LM + MN = 37
Step-by-step explanation:
L————————-M———————-N
22. 15
L————————-37———————-N
A fish tank is the shape of a cube. It's volume is 125 ft3. What is the area of one face of the tank
A 2.5 kg joint of lamb needs to be cooked as follows.
25 minutes plus 20 minutes per 0.5 kg:
How long does it need cooking for?
Answer:
125 minutes
Step-by-step explanation:
2.5÷ .5 = 5
20× 5 + 25
= 125 min
I need help with #41 and #42 ASAP please help me.. please show step by step I need to get it done soon because It is due
Answer:
Step-by-step explanation:
41)
[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]
42)
the square of the sum of the first n natural integers equals the sum of the cubes of these
In a class , out of 40 students , 25 like maths only , 7 like science only , Slike both subjects . ( i ) Represent it in Venn - diagram . ( ii ) How many students do not like science ? ( ii ) How many students like science or maths ?
Answer:
STAY SAFE STAY UGLY.
Step-by-step explanation:
BY ELON MUSK
To travel the Erie Canal, a boat must go through locks
Answer:
locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall
If a18-a12=24.Find d.
a18 − a12 = 24 == 24
d == 24
I hope this is correct and helps..
Find ""k"" so that the 58 unit diagonal of a rectangle can have an aspect ratio of 15:8. Then find the length and width of the rectangle and find its area.
Step-by-step explanation:
The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).
So far this gives us L∗W=300in2
Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:
4x∗3x=300in2
Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:
4∗x∗3∗x=300in2
From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:
12x2=300in2
From here, simply divide through by 12 to isolate x on one side,x2=25
And finally take the square root of both sides to work out what your common factor is,
x=5
Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.
(4∗5)in∗(3∗5)in=300in2
20in∗15in=300in2
Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in
Pls help I’m confused
The scale of a map is 1
inch : 10 miles.
If a road is 3%2 inches on
the map, what is the
actual length of the
road? If a pond is 15
miles long, what is the
length of the pond on
the map?
1 inch= 10 miles
1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2
so
1 in^2 is 100 mi^
what is the value of 7(10-2^3)+8/2
Answer:
18
Step-by-step explanation:
Answer:
7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]
=18
Step-by-step explanation:
7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]
=7(10−8)+ [tex]\frac{8}{2}[/tex]
=(7)(2)+[tex]\frac{8}{2}[/tex]
=14+[tex]\frac{8}{2}[/tex]
=14+4
=18
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:
What is the answer to this?
Answer:
true
Step-by-step explanation:
5(1+2x)= 5 +10x =10x + 5
Answer:
Yes, they are eqivelant.
Step-by-step explanation:
5(1+2x) and 10x+5
The first step is to set them equal to each other, to see if they are equivelent.
5(1+2x) = 10x+5
Distribute the 5 to both terms in the parentheses by multiplying.
5(1) + 5(2x) = 10x +5
5 + 10x = 10x +5
The communative property of addition proves that these are equal.
Three times a number w is less than 18. how would u type thi s
Which property is illustrated by the following?
If 2(x+y)=z, then 2x+2y=z
Frito lay mix variety in pack 28 bags for 9.88 cost per bag
Answer:
Each bag costs 0.35 cents
Step-by-step explanation:
divide 9.88 by 28 and that gives you the total for each bag of chips
What is 11x(-6)?
please answer i really need this!
Answer:
-66
Step-by-step explanation:
11 × (-6) = -66
(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.
Learn more about supplementary angles here:
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Find the area of these numbers
Answer:
It's a rectangle. So,
Area = Length × Width
Area = 16.4 × 9
Area = 147.6 cm²
Solve the inequality
3(x-2)>-3
Answer:
x>1
Step-by-step explanation:
m at h w ay
what is the distributive property for 72 +12
Answer:
4
Step-by-step explanation:
