4(f + 3) = 4f + 12
3(f+3) =3f + 9
Now you have 4f + 12 + 3f + 9
Combine like terms to get
7f + 21
A track team has 7 people eligible to run the
800-meter run. A team member can only run
the race once, and 4 people are needed to run
the race. How many different ways can the 4
people be selected, if order doesn't matter?
In 35 differnt ways (Combination) the 4 players can be selected from a team of 7.
What is permutation and Combination ?Combinations are decisions that are made by choosing some or all of a group of things, regardless of how they are arranged.
Utilizing the combinations formula, it is simple to determine how many distinct groups of r items each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.
A permutation is a combination and an ordered arrangement of possible outcomes. For instance, there are 5 chairs, and 3 people should occupy them. There are five different methods to seat the first person, four ways to sit the person after them, and three ways to seat the third. In order to determine the number of configurations for seating 3 people in 5 seats, we thus multiply the alternatives at our disposal.
Permutations are several ways to arrange things in a certain sequence. It may alternatively be stated as the linear reordering of elements in an already ordered collection.
Here we have to select 4 people from a team of 7, so its a combination
So the number of ways are = [tex]\x^{7}C\x_{4} = \frac{7!}{4!\ 3!} = 35[/tex].
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Can y’all help me with this I don’t understand stand
is it 10+8=18 is this it hopefully this helps
Answer:
Option C
Step-by-step explanation:
10 + n is the total number of computers Mr. James will sell this week, since he has already sold 10 computers and will sell n more. Because he wants to sell at least 18 computers, the correct symbol is ≥.
Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+2y=21
- 21+ 6v=-34
To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth: y = -2.2
What exactly does a coordinate system mean?system of coordinates, Arrangement of reference lines or curves for locating points in space The Cartesian (named for René Descartes) system is the most popular one in two dimensions.
To solve for y in the equation 5x + 2y = 21, we can start by isolating y on one side of the equation. To do this, we can subtract 5x from both sides of the equation:
5x + 2y = 21
5x - 5x + 2y = 21 - 5x
2y = 21 - 5x
To solve for y, we can then divide both sides of the equation by 2:
2y = 21 - 5x
y = (21 - 5x) / 2
To solve for y in the equation -21 + 6y = -34, we can start by isolating y on one side of the equation. To do this, we can add 21 to both sides of the equation:
-21 + 6y = -34
-21 + 21 + 6y = -34 + 21
6y = -13
To solve for y, we can then divide both sides of the equation by 6:
6y = -13
y = -13/6
y = -2.1666666666666665
To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth:
y = -2.2
So, the y-coordinate of the solution is -2.2.
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5135/1000 = quotient and reminder
485/100 = quotient and reminder
Answer:
5135 ÷ 1000
= 5 R135
485/100
= 4 R85
What kind of transformation converts the graph of f(x)= – 2x–10 into the graph of g(x)= – 2x+10?
Answer: Shift right 20 units
Edward bought 4 t-shirts and 3 pairs of socks for $37. Zach bought 2 pairs of socks and 5 t-shirts for $41. How much does a pair of socks cost?
Answer:
3$
Step-by-step explanation:
Let x be t-shirts and y socks.
4x + 3y= $37
2y + 5x= $41
x= (37 - 3y) ÷ 4
2y + 5((37-3y)÷4)=41
y=3
4) If 1 inch represents 10 miles on a map, then how many inches will
represent 120 miles?
Answer:
12 inches
Step-by-step explanation:
You can use proportions to solve this:
1/10 = x/120
Cross multiply:
12 = x
Answer:
12 inches.
Step-by-step explanation:
The ratio given is that 1 inch = 10 miles.
The amount given to you is 120 miles. To find the amount of inches, simply divide the total amount of miles (120) with the amount of miles needed to be ratio into inches (10):
120/10 = 12
12 inches is your answer.
~
PLEASE HELP ME WHAT AM I SUPPOSE TO DO?!
Answer:
Step-by-step explanation:
Angle 2= 50
angle 1= 180-50= 130 degrees (linear pair (sum 180))
angle 3= 130 degrees (vertically oposite angles are equal)
angle 6= 130 degrees (alternate interior angles)
angle 5= 180-130= 50 degrees (linear pair)
i hope this helps :)
Find the probability. Enter your answer as a simplified fraction.
Picking a purple marble from a jar with 13 green and 13 purple marbles.
The probability of picking a purple marble is
Answer:
[tex]\frac{1}{2}[/tex] is your answer
Step-by-step explanation:
To calculate the probability, you first have to find the total things by adding.
13 + 13 = 26
Then, you find the number of purple marbles which is 13. So, 13 is the numerator, and 26 the denominator.
[tex]\frac{13}{26}[/tex]
Next, simplify.
[tex]\frac{13}{26} = \frac{1}{2}[/tex]
Have a wonderful day!
A model airplane is built on the scale of 0.5 inch for every 11 feet. The length of the
wing on a 747 airplane is 211 feet. What is the length of the wing on the model
airplane? (Round your answer to the nearest tenth)
Answer:
[tex]9.59[/tex] ft
Step-by-step explanation:
[tex]\frac{211}{11}[/tex]
[tex]= 19.181818\\multiply\\by\\0.5\\= 9.59[/tex]
Matt wants to contrast girls and boys views about leadership. He selects a random sample of 100 students from Northeastern High School in Maine and administers a standardized leadership survey. Scores range from 5 to 20. Matt's research design could best be classified as a(n):
On solving the provided question, we can say that random samples range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School
what is random sample?selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.
Scores range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School
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Please help??!!!!!!!!!!!!!!!!
help with angles, also explain how to do this so i can go on further without help
Answer:
x = 103°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, so
x = 50° + 53° = 103°
Oh please help me with this!!!
Answer:
x+74=180
x=180-74
x=106
x=4y+22
106-22=4y
84/4=y
21=y
y=21
Step-by-step explanation:
Answer:
x=106
y=21
................
What’s the slope of the line graphed?
Answer:
slope = (-8/3)
Step-by-step explanation:
Point 1: (1, 4); Point 2: (4, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - 4 -8
----------- = ----------- = --------
x₂ - x₁ 4 - 1 3
I hope this helps!
Solve for x!!!!!!!!! Spam will be taken down
Answer:
10 10 [tex]\sqrt{2}[/tex]
4 8
16 16[tex]\sqrt{3}[/tex]
[tex]\sqrt{18}[/tex] [tex]\sqrt{18}[/tex]
11 22
384 192
Step-by-step explanation:
mark me brainliest pls
they are in order
This is due today pls help me !! :c
Answer:
x = 84
Step-by-step explanation:
Answer:
84 degrees
Step-by-step explanation:
when finding the angle of any square, as long as all for sides equal to 360 degrees, your doing it right! hope I helped
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents.
9514 1404 393
Answer:
85°60°Step-by-step explanation:
1. Angle JKL is half the measure of the intercepted arc JK.
(1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°
angle JKL is 85°
__
2. The angle between tangents is the supplement of the intercepted arc.
angle JKL = 180° -(360° -240°)
angle JKL = 60°
The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?
The price of a stock share has decreased by 15% and suddenly increased by 5%.
What is a percentage?The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.
The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).
When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.
100 - 15% = 85% = 0.85
100 + 5% = 105% = 1.05
original selling price = d
selling price at a later date = 1.05(0.85d)
0.85d means that the original price was discounted by 15%
1.05 means that the price increased by 5%
Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.
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If 3x+14=26, which of these equations is true?
Answer:
x=4
Step-by-step explanation:
3x+14=26
3x=26-14
3x=12
x=12/3
x=4
Answer: x = 4
Let's solve your equation step-by-step:
3x+14=26:
Step 1: Subtract 14 from both sides.
3x+14−14=26−14
3x=12
Step 2: Divide both sides by 3.
3x/3 = 12/3
x=4
If there are 10 fish in a tank 5 escaped 2 died.
How many are left?
Pls help
Answer: 8
Step-by-step explanation:
Its a fish tank no fish can escape. So 10-2 because 2 fish died and that is 8.
So you have 8 fish.
Hope this helps
Question 3 of 10
If f(x) = 7x-6, which of the following is the inverse of f(x)?
O A. f-1(x) = x76
f−¹(x) = x=7
X-7
6
B.
O C. f-1(x) = x+7
D. f¹(x) = x+6
7
SUBMIT
Therefore, the solution of the given problem of function comes out to be [tex]f^{-1}[/tex] = x+ 6 /7.
Describe function.Mathematics includes the study of numbers, equations and associated structures, forms and the environments in which they occur, quantities and their changes, and spatial relationships. A function is an association between such a set of inputs, each of which has an output. Simply described, a function is an association between the inputs and outputs in which each input results in a single, distinct result. Each operation has a domain and a scope, which are also referred to as codomains.
Here ,
In our case, f(x) = y = 7x-6.
The following procedures must be taken in order to determine the inverse function of the given function:
First, x and y must be switched, thus
x= 7y-6
We must add 6 to both sides in order to solve for y in the following step.
x+6=7y
7 divided by both sides, that is
y = x+ 6 /7
Therefore, the solution of the given problem of function comes out to be
[tex]f^{-1}[/tex] = x+ 6 /7.
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A wire 30 inches long is bent into a triangle with sides measuring 6 inches, 11 inches, and 13 inches Find the measure of the largest angle in the triangle.
The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
What is trigonometry?
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes.
The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry.
These functions' inverses are designated by the notations csc(-1)x, cos(-1)x, cot(-1)x, sec(-1)x, sin(-1)x, and tan(-1)x.
Keep in mind that f(-1) here refers to the inverse function, not f to the -1 power.
According to our question-
the biggest angle on a wire that is 30 inches long and bent into a triangle with sides that measure 6 inches, 11 inches, and 13 inches.
cosine rule is given as
cosa= a^2 + b^2 + c^2/2ab
cosa = 36 + 121 - 169/132
a = 95.22°
Hence, The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.
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I have a small question what is this-
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is less than -5,
-3 > -5
-3 is to the right of -5 on the number line.
Answer:
Step-by-step explanation:
negative 5 is less then -3 is the statement. so saying that -3 is less than five, is false.
remember your number line.
-5_-4_-3_-2_-1_0_1_2_3_4_5_6
five sure is to the left of three, and saying that three is to the right of five is the exact same thing.
Pls show work and explain
9514 1404 393
Answer:
a) 60°
b) 60°
c) 70°
d) 90°
e) 40°
Step-by-step explanation:
The applicable relations are ...
the sum of arcs in a circle is 360°an inscribed angle is half the measure of the arc it intercepts.the exterior angle where secants meet is half the difference of the intercepted arcsthe interior angle where chords meet is half the sum of the intercepted arcsthe angle made by a tangent and a chord is a degenerate case of an inscribed angle, where the vertex is coincident with one end of the intercepted arc__
a) The sum of ratio units is 3+5+6+4 = 18, which corresponds to the sum of arcs around the circle: 360°. So, each ratio unit stands for 360°/18 = 20°. The arcs around the circle are ...
FA = 60°, FC = 100°, CB = 120°, BA = 80°
__
b) ∠BAC intercepts are CB, so is half its measure.
∠BAC = 60°
__
c) ∠AEC is the exterior angle where secants EA and EC intercept arcs FA and CBA. The difference of those arcs is (CBA -FA) = (200° -60°) = 140°.
∠AEC = 140°/2
∠AEC = 70°
__
d) Chords FB and AC intercept arcs FC = 100° and BA = 80°. The average of these measures is ...
∠FDC = (100° +80°)/2
∠FDC = 90°
__
e) ∠GAB is an "inscribed" angle that intercepts arc BA, so has half its measure.
∠GAB = 40°
_____
Comment on arc/angle naming
The arc asked for in part (a) has a name that the Brainly censor doesn't like. It seems OK with the reverse designation, so we have used FA here to refer to that arc.
2) A box holds 6 smaller
boxes with 160 paper clips in
each box. If 1.5 of the boxes
have been used, how many
paper clips are left?
The number of paper clips that are left will be 480 clips.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A box holds 6 smaller boxes with 160 paper clips in each box. If 1.5 of the boxes have been used. Then the number of paper clips that are left is given as,
⇒ (2 - 1.5) x 6 x 160
⇒ 0.50 x 960
⇒ 480
The number of paper clips that are left will be 480 clips.
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This graph represents the average number of animals that are seen in a veterinarian's office during the day.
У
45
40
35
30
5 25
20
2 15
10
456789
Hours
A) Circle the correct statement to make the sentence true:
The point (1,10) represents (1 animal is seen in 10 hours OR 10 animals are seen in 1
hour)
B) Describe what the point (0,0) represents in this situation.
C) Describe what the point (6, 60) would represent.
Answer:
A. 10 animals seen in 1 hour
C. 60 animals seen in 6 hours
i dont know B sorry
Step-by-step explanation:
Sydney says that if all of the side lengths of a cube are doubled, the volume of the cube will also double. Is she correct? Explain.
Answer:
no, it's not correct
Step-by-step explanation:
volume or the cube = L³
so if we doubled the side lengths
They would be 2L
then the volume= (2L)³ = 8L³
so that would make the volume 8 times the first value not double
Find the length of the third side. If necessary round to the nearest tenth
The side lengths of a right-angle triangle can be calculated using the Pythagorean Theorem. Which states that the square of the hypotenuse is equal to the sum of squares of the other sides in the triangle.
[tex]a^2+b^2=c^2[/tex]
the hypotenuse is always the longest side of a triangle and is always the opposite side length to the right anglerearranging the equation can help calculate the third side:
[tex]c^2-a^2=b^2[/tex]
[tex](5)^2-(4)^2=b^2[/tex]
[tex]25-16=b^2[/tex]
[tex]9=b^2[/tex]
[tex]\sqrt{9}=\sqrt{b^2}[/tex]
[tex]{ {{b_1=+3} \atop {b_2=-3}} \right.[/tex]
note: a length can never be negative so never take into account a negative answer
b = 3
What value is X in math?
Answer:
Any value
Step-by-step explanation:
X is a variable, meaning it can be any number, and they are just using our variable, x, as a little mask to hide the exact value. In math, we will usually need to find x by solving different equations.
Examples:
x + 4 = 7
Know, x in this case is 3 because we just know 3 + 4 = 7, but x can be any value, and sometimes it gets more complicated than this. For example, we can have something like:
2x + 8 = 16
In this case, we need to have multiple steps to solve for x. First, we minus 8 from both sides:
2x = 8
Then we divide by 2:
x = 4
So, we know x = 4. In conclusion, x is a variable that is hiding a value, and you will need to either solve or substitute x. Meaning x can be any value.
Hope this Helped!