Answer:
x = 22 (each friend started with 22 action figures)
Step-by-step explanation:
After buying 8 more action figures, each friend has x + 8 action figures. Because there are 5 friends, the new total number of action figures is 5(x + 8), which we are told is equal to 150. Dividing both sides of this equation by 5 yields x + 8 = 30, and subtracting 8 from both sides yields x = 22.
At the opening session of the United States Supreme Court, each justice shakes hands with all the others. There are nine justices that sit on the Supreme Court. How many handshakes do they make during the opening session
According to probability, total number of handshakes will be 36.
How many handshakes are possible?Handshakes equal n * (n - 1)/2. This is the case because a handshake between two people is not counted twice and each of the n people can shake hands with n - 1 people (they wouldn't shake their own hand). Any number of people can be calculated using this formula.
The first person will need to shake eight (8) people's hands. Only seven (7) hands will need to be shook by the second person because the first handshake will not be repeated. Due to the same factors as mentioned above, only six (6) people will require a handshake from the third person. This continues until the final person has no one left to shake hands with because everyone has already done so.
The formula to calculate how many handshakes were exchanged is n = 8 + 7 + 6 +... + 1 = 36.
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The circle below has center H. Suppose that mLFEG=46°. Find the following.
From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.
The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.
Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.
The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]
So, ∠FHG = 92°
Measure of the arc FG = 2πr(θ/360°)
FG = 2πr(92/360)
FG = 23πr/45
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The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.
Complete question :
The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?
A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces
B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60
Answer:
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
Step-by-step explanation:
The shipping rates are :
C(w) = 0.45w
Second rate :
C(w) = 0.35w + 1.6
For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.
However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.
Which set of side lengths belong to a right triangle?
Answer:
10 cm, 6cm, 8cm
Step-by-step explanation:
Answer:
10 cm,6 cm,8 cm
Step-by-step explanation:
50 points help me out
Answer:x=20
Step-by-step explanation: <2 and <3 must be equal, so set 3x-10 equal to x+30, once simplified you get x equal to 20.
Answer:
x = 20
Step-by-step explanation:
Angle 2 and 3 are alternate (interior) angles which means that they are equivalent to each other.
3x-10=x+30
-x -x
2x-10=30
+10 +10
2x=40
x=20
The preimage of a triangle has points A(4,6) B(10,5) and C(1,-3). What are the coordinate of the image after a dilation of 1/2?
Answer:
A (2,3); B (5, 2.5) C: (.5, -1.5)
Step-by-step explanation:
divide everything by 2
A sequence is represented by the recursive formula below:
The value of the sequence is (c) 13, 25, 37, 49
How to determine the value of the sequenceThe definition of the sequence is given as
a(1) = 13
a(n) = a(n - 1) + 12
The above definitions imply that we simply add 12 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(2) = 13 + 12 = 25
a(3) = 25 + 12 = 37
So, the sequence is 13, 25, 37
Hence, the value is (c)
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Question 39 of 40
What are the zeros of the function f(x) = (x + 5)2 x-8)?
A. X= 5 and x = -8
B. x= -5 and x = 8
C. X=-5 and x = 4
D. x= 5 and x= -4
SUBMIT
Answer:
C
Step-by-step explanation:
we have to solve the associated equation:
(x+5)(2x-8) = 0
a product is equal to 0 if at least one of its factors is equal to 0
so we can solve this two equations
x + 5 = 0 x = -5
2x - 8 = 0. x-4 = 0 x = 4
Why are 3 4 5 and 5 12 13 Pythagorean triples?
A Pythagorean triple is a set of three positive integers a, b, and c that satisfies the equation a2 + b2 = c2.
In this case, the triple is (3, 4, 5) and (5, 12, 13).
The equation for the first triple is 32 + 42 = 52.
3² = 9
4² = 16
9 + 16 = 25
25 = 25
The equation for the second triple is 52 + 122 = 132.
5² = 25
12² = 144
25 + 144 = 169
169 = 169
Therefore, both sets of numbers are Pythagorean triples because they both satisfy the equation a2 + b2 = c2.
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PLEASE HELP IM IN 4th grade
Answer:
30 feet
Step-by-step explanation:
a = l * w
Its a square so l and w are the same
x * x = 900
30 * 30 = 900
----------------
If you know about square roots
x = √900
x = 30
Answer:
1 ture
2 false
3 false
4 ture
Step-by-step explanation:
6. If ON = x^2 - 10, LM = -2x + 5, NM = 3x + 21 and OL = 4y + 18, find the values of x and y
given that LMNO is a parallelogram.
(show work)
Given that ON = [tex]x^{2}[/tex] - 10; LM = -2x + 5; NM = 3x + 21; and OL = 4y + 18; with x and y values of [tex]\sqrt{10}[/tex] and -4.5, respectively.
What is the values of x and y ?ON = [tex]x^{2}[/tex] - 10 ⇒ [tex]x^2[/tex] = 10 ⇒ x =[tex]\sqrt{10}[/tex]
OL = 4y + 18 ⇒ 4y =-18 ⇒ y = -18/4 ⇒ -4.5 .
The issue at hand is here A parallelogram of O N M L is nm. Suppose ON = [tex]x^{2}[/tex] - 10 or LM = -2x + 5. Here, we must determine what X's value is. then look up N M N O L. Due to the parallelogram shape of ONA male, there are four.
Since N M is equal to the opposing sides of a parallelogram and an e parallelogram, we can express that as follows. due to the parallelogram's equal opposite sides. We can therefore write [tex]x^{2}[/tex] - 10 where N M = O L. that is four, -2x + 5, and. Change the two sides of the equation, then write four. Nine times X is equivalent to [tex]x^{2}[/tex] - 10.
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Example You practice paddleboarding for
3 weeks. You paddle the same amount each day
for 5 days each week. You paddle 22.5 miles
altogether. How many miles do you paddle
each day?
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
Explain equationA mathematical depiction of two equal things, one on either side of a "equals" sign, is called an expression. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.
Here,
The 15 miles that Bob the Boy Scout must paddle upwards against the current takes him 10 hours.
He discovers that paddling 22.5 miles against the current only took him 5 hours when he turns back.
——
Upstream data: rate = d/t = 15/10 = 1.5 mph, distance = 15 miles, time = 10 hours.
————————
Downstream DATA: rate = d/t = 22/5 = 4.4 mph; duration = 5 hours; distance = 22 miles.
———————-
Equations:
upstream: Downstream, b-c = 1.5 mph; b+c = 4.4 mph
2b = 5.9 mph;
2b = 2.95; add and solve for "b" (speed of the boat in still water)
—-
For "c," use the formula
=> b + c = 4.4
=>2.95 + c = 4.4
=> c = 1.45 mph (speed of the current)
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
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is this right?? this assignment is graded and no links!!
solve x^2-4x=0 by factoring
[tex]\huge\text{Hey there!}}[/tex]
[tex]\mathsf{x^2 - 4x = 0}[/tex]
[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]
[tex]\mathsf{x(x - 4) = 0}[/tex]
[tex]\text{Set the factors to equal to the number 0}[/tex]
[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]
[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]
[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
what are the properties of rational exponents and how are they used to solve problems
The properties of the rational exponents are given and a rational equation is of the form b = aˣ
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the rational exponent equation be A
Now , the properties of the exponent equations are
mᵃ×mᵇ = mᵃ⁺ᵇ
The powers of the exponents are added together
mᵃ / mᵇ = mᵃ⁻ᵇ
The powers of the exponents are subtracted together
( mᵃ )ᵇ = mᵃᵇ
The powers of the exponents are multiplied together
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
Any number raised to the power of 0 is 1
m⁻ᵃ = ( 1 / mᵃ )
Hence , the exponents are solved
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What is the volume of a rectangular prism with a length of 2 inches, a width of 1 inch, and a height of One-half inch?
One-half inches cubed
1 inch cubed
2 inches cubed
3 and one-half inches cubed
Answer:
1
Step-by-step explanation:
did it
Which functions have an axis of symmetry of x = –2? Check all that apply.
f(x) = x2 + 4x + 3
f(x) = x2 – 4x – 5
f(x) = x2 + 6x + 2
f(x) = –2x2 – 8x + 1
f(x) = –2x2 + 8x – 2
The quadratic functions that have an axis of symmetry at x = -2 are given as follows:
f(x) = x² + 4x + 3.f(x) = -2x² - 8x + 1.How to obtain the axis of symmetry of a quadratic function?The standard definition of a quadratic function is given by the rule presented as follows:
y = ax² + bx + c, in which a is different of zero.
The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:
x = -b/2a.
Meaning that the correct options are given by the first and by the fourth options in this problem.
For the first function, we have that:
a = 1, b = 4.
Hence the axis of symmetry is obtained as follows:
x = -4/2 = -2.
For the fourth function, we have that:
a = -2, b = -8.
Hence:
x = -8/4 = -2.
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Can someone please help?!!!!!!
Which set of angle measures CANNOT be the angle measures of a triangle? 1. 60, 60, 61 2. 1, 1, 178 3. 13.9, 16.1, 150 4. 59, 60, 61
Answer:
1.
Step-by-step explanation:
60+60+61 is 181 and a triangle always has 180 degrees
Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18
Answer:
6
Step-by-step explanation:
The growth factor is the number that is raised to an exponent.
Answer: 6
3x-3y=-6
3x+y=10 use subtraction please help thank you
need an ordered pair
Answer:
x=2, y=4. (2, 4).
Step-by-step explanation:
3x-3y=-6 implies 3(x-y)=3(-2), so x-y=-2.
-----------------------------
x-y=-2
3x+y=10
---------------
4x=8
x=8/4=2
2-y=-2
y=2-(-2)=2+2=4
6 and 18/54 simplified
a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help, explanation required
5d = 30 i cant find the answer
Answer:
d=6
Step-by-step explanation:
divide 30 by 5 to get the value of d
Answer:
Hey again d = 6
Step-by-step explanation:
5 × 6 = 30 therefore d = 6 HOPE THAT HELPS!
Select all questions that depicts one of the properties of exponents
Answer: 1st, 4th, and 5th choices
In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AD in degrees?
Answer:
D
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Derek is cutting a piece of plywood into the shape of a triangle to use as part of a set for a school play. How should the triangle be classified? 50° 90° 40° O A. right, isosceles B. right, scalene C. acute, scalene о O D. obtuse, isosceles
Answer:
C.58.3
Step-by-step explanation:
Im pretty sure im right
pls help me what is the equation for this graph pls get it right :)
Answer: Y= 1/8x -2
Step-by-step explanation:
Y = mx+ b
Slope = y2-y1/x2-x1 = -1+2 / 8-0 = 1/8
Initial Y-Value = -2
Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
right triangle m=5
Step-by-step explanation:
because it has a 90 degree angle
A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth
The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Calculating probability of selecting a card:
From the question, we are to determine the probability of selecting two cards with D and D
From the formula for probability, we have that
P(D) = Number of favorable outcomes to D / Total number of possible outcomes
From the given information,
Number of favorable outcomes to D = 2
Number of possible outcomes = 3
Thus,
P(D) = 2/3
Then,
The probability of selecting two cards that have D and D with replacement is
P(D, D) = P(D) × P(D)
P(D, D) = 2/3 × 2/3
P(D, D) = 4/9
Hence, the probability is 4/9.
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