Answer:
the answer is A I'm 80% sure
evaluate the polynomial for the given value of x: f(x) =3x^3+5x^2+x-2 when x=2
Answer: [tex]f(2)=44[/tex]
Step-by-step explanation:
Given the polynomial [tex]f(x) =3x^3+5x^2+x-2[/tex], you can evaluate it for the given value of the variable "x" by substituting the value [tex]x=2[/tex] into the polynomial.
Therefore, when [tex]x=2[/tex], you get the following result:
[tex]f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44[/tex]
Given: ABCD is a square.
Prove: AC ⊥ BD.
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to side AE by using the . Finally, we know that side DE is congruent to side because the diagonals of a square bisect each other. Therefore, triangle AEB is congruent to triangle AED by congruency. We see that angle AED and angle AEB are a linear pair, and congruent by CPCTC. Thus, the measure of these angles will be 90°, and diagonal AC is perpendicular to diagonal BD by the .
Answer:
AB
Reflexive Property
BE
SSS
Definition of perpendicular
Step-by-step explanation:
Answer:
This question is based on concept of geometry. Therefore, the answers are as follows:
1) AB 2) Reflexive property 3) BE 4) SSS
5) definition of perpendicularity.
Given that:
ABCD is a square.
In this question, we have to fill the blanks and complete the sentence where it is looking like incomplete.
According to question,
Therefore, at first It is given that, if we consider triangle AEB and Triangle AED, we observe that side AB side is congruent to side AD.
(2) We know that, side AE is congruent to side AE by using the Reflexive property because sides of a square are congruent.
(3) Finally, we know that side DE is congruent to side BE because the diagonals of a square bisect each other.
(4)Therefor triangle AEB is congruent to triangle AED by SSS congruency.
(5) We see that angle AED and angle AEB are a linear pair, and congruent by CPCT , the angle AED and AEB are a linear pair and the measure of these angle will be 90 because ABCD is a square and thus diagonal AC is perpendicular to diagonal BD by the definition of perpendicularity.
Therefore, the answers are as follows:
1)AB
2)Reflexive property
3)BE
4)SSS
5) definition of perpendicularity.
Step-by-step explanation:
Help me answer this question
Answer:
well this old so like yeah u prob know by now...
Step-by-step explanation:
(30 points)
Solve for x:
-4x+8=42
Answer:
-8.5
Step-by-step explanation:
-4x+8=42
42-8=34
34/-4=8.5
Answer:
x = -8.5
Step-by-step explanation:
minus 8 on both sides and the eight should cancle on the left side
42 minus 8 is 34
then you divide negative 4 on both sides
Carlos is sorting apples for a large orchard.He sorts them into 75 baskets of 30 and 50 baskets of 45.
Which of the following expressions could you use to figure out how many apples Carlos sorted?
A) 75 +30 +30 (50+45)
B) 75x45) x (30x50)
C) 75x30) +(50x45)
D) 45x50X30x75
Answer:
C
Step-by-step explanation:
Because if you have 75 baskets of 30 then you have to multiply 75x30 it is the same thing with 50x45. Hope this helps
Answer:C) 75x30) +(50x45)
Step-by-step explanation: 75 * 30 for the 30 apples in each basket and 50 * 45 for the 45 in each and put them into their own equation with parenthesees. Then add to find the total
How many 1/4 foot pieces can you cut from a 12 foot board
Answer:
48
Step-by-step explanation:
Here are two methods for finding the answer.
Method A.
In 1 foot, there are 4 1/4-foot pieces.
In 12 feet, there are 12 times as many as in 1 foot.
12 * 4 = 48
Method B.
Divide 12 ft by 1/4 ft.
12/(1/4) = 12 * 4/1 = 12 * 4 = 48
Answer: 48
48 cut from a 12 foot board.
What is the purpose of foot board?Bed cradles and foot boards are devices that attach to your bed. They keep sheets and blankets from touching and rubbing your legs or feet. Foot boards will also keep your feet in proper position while you are in bed.
In 1 foot, there are 4 1/4-foot pieces.
In 12 feet, there are 12 times as many as in 1 foot.
12 ×4 = 48
Divide 12 ft by 1/4 ft.
12/(1/4) = 12 ×4/1
= 12 × 4 = 48
1/4 foot pieces can you cut from a 12 foot board = 48
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A jacket costs $94.95 is is on sale for 30% off estimate the sale price
Answer:
see below
Step-by-step explanation:
We can round the original price of the jacket to 100 dollars
30% off means we pay 70%
70 % of 100
.70*100 = 70
The jacket will cost just less than 70 dollars
Our estimate is high since we rounded up
Help plzzz, you could just tell me to go left or right
I ussually think of them as arrows telling me where to go.
if it is > you go ----->
if it is < you go <------
How many solutions does the equation 6y - 3y -7 = -2 +3 have?
Answer:
6y - 3y - 7 = -2 +3
Simplify both sides:
3y -7 = 1
Add 7 to both sides:
3y = 8
Divide both sides by 3:
y = 8/3 = 2 2/3
There is only one solution.
Find all complex solutions of 3x^2+2x+5=0 . (If there is more than one solution, separate them with commas.)
Answer:
[tex]\large\boxed{-\dfrac{1}{3}-\dfrac{\sqrt{14}}{3}i,\ -\dfrac{1}{3}+\dfrac{\sqrt{14}}{3}i}[/tex]
Step-by-step explanation:
Use
[tex]ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]3x^2+2x+5=0\\\\a=3,\ b=2,\ c=5\\\\b^2-4ac=2^2-4(3)(5)=4-60=-56\\\\\sqrt{b^2-4ac}=\sqrt{-56}=\sqrt{(4)(-14)}=\sqrt4\cdot\sqrt{-14}=2\sqrt{-14}[/tex]
Use
[tex]i=\sqrt{-1}[/tex]
[tex]\sqrt{-14}=\sqrt{(-1)(14)}=\sqrt{-1}\cdot\sqrt{14}=i\sqrt{14}[/tex]
Therefore:
[tex]x=\dfrac{-2\pm 2i\sqrt{14}}{2(3)}=-\dfrac{2}{6}\pm\dfrac{2i\sqrt{14}}{6}=-\dfrac{1}{3}\pm \dfrac{\sqrt{14}}{3}i[/tex]
The complex solution of the given quadratic equation 3x^2+2x+5=0 is x = (1/6)[ -2 ± i√56].
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation, 3x^2+2x+5=0
x = [-2 ±√(4 - 4 x 3 x 5)]/(2 x 3)
x = (1/6)[ -2 ± i√56]
Hence "The complex solutions of the given quadratic equation 3x^2+2x+5=0 is x = (1/6)[ -2 ± i√56]".
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PLZ HELPPPP! Find the quotient 7 / 1/5
Quotient means divide so 7 divided by 1/5 is 35
answer:35
reason: because all you are doing is dividing 7 and 1/5
The number of people playing a new phone app game triples every month. When the app first launched, 800 people started playing the game right away. There are currently 194,400 people playing the game. Write an equation to represent this situation, and determine the number of months, t, that have passed since the app launched.
Answer:
[tex]a_t=ar^{t-1}[/tex]
t=6 months
Step-by-step explanation:
We are given that the number of people playing a new phone app game triples every month
When the app first launch , the number of people started playing the game right away=800
According to question
The number of peoples are currently playing the game=194,400
We solve by using the formula of geometric series because we get a geometric series pattern
The number of people playing the game when app game launch=800
The number of people playing game after one month=2400
800,2400,7200,........,194,400
[tex]a_1=800,a_2=2400,a_3=7200,a_t=194,400[/tex]
We are finding common ratio
[tex]\frac{a_2}{a_1}=\frac{2400}{800}=3[/tex]
[tex]\frac{a_3}{a_2}=\frac{7200}{2400}=3[/tex]
Hence, the common ratio is 3 therefor nth term of G.P
[tex]a_t=ar^{t-1}[/tex]
a=800,r=3,[tex]a_t=194,400[/tex]
Substitute the values then we get
[tex]194,400=800(3)^{t-1}[/tex]
[tex]\frac[194400}{800}=(3)^{t-1}[/tex]
[tex]243=3^{t-1}[/tex]
[tex]3^5=3^{t-1}[/tex]
When base are same on both side then the power are equals
Therefore, t-1=5
t=5+1=6
Hence, when there are 194,400 people currently playing the game then
the number of months ,t=6 that have passed since the app launched.
Answer:
800(3)^t = 194,400; t = 5 months
Step-by-step explanation:
The probabilities of contamination in medicine capsules from the presence of heavy metals and different types of microbes are given in the table if capsule A shows microbial contamination what is the chance the is from contamination salmonella
Answer:
to everyone that needs it the awnser is 29.0% its not 0.31
i got it correct
Step-by-step explanation:
Therefore, Option ( C ),P(Microbial Contamination from Salmonella | Capsule A)=0.31%
The probability of capsule B having microbial contamination is greater than the probability of capsule D having it.
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
It is given that the table shows the probabilities of contamination in medicine capsules from the presence of heavy metals and different types of microbes.
Now, By given table, we have;
The probability of capsule B having microbial contamination is, 0.33%
And, the probability of capsule D having it is, 0.22%
Hence, The probability of capsule B having microbial contamination is greater than the probability of capsule D having it.
Above is the table of conditional probabilities of contamination from various sources given type of capsules.
P(Microbial Contamination from Salmonella | Capsule A)=0.31%
Thus, the chance the is from contamination salmonella option (C) is correct.
Correct Answer:
The probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table.
The probability of capsule B having microbial contamination is [blank] the probability of capsule D having it.
Answer choices in drop down menu are:
A. the same as
B. greater than
C. less than
Ann needs 3/4 of a book in 2 days. At this rate how many books can she read in 4 1/3 days.
[tex]\bf \begin{array}{ccll} book&days\\ \cline{1-2}\\ \frac{3}{4}&2\\\\ x&4\frac{1}{3} \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{4\frac{1}{3}}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{\frac{13}{3}} \implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{~~\frac{2}{1}~~}{\frac{13}{3}}[/tex]
[tex]\bf \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{2}{1}\cdot \cfrac{3}{13}\implies \cfrac{3}{4x}=\cfrac{6}{13}\implies 39=24x\implies \cfrac{39}{24}=x\implies \cfrac{13}{8}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 1\frac{5}{8}=x~\hfill[/tex]
A boy is n years old. His sister is four times as old. The sister's age is
The sister is 4n yrs old.
That is because 4 times n is 4n.
What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?
HELP NEEDED !!!! read closely!!!
A. -2,4
B. -2,0,4
C. -4,2
D. -4,0.2
Answer: -2, 0, 4
Set the equation equal to zero.
x³ - 2x² - 8x = 0
Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.
x(x² - 2x - 8) = 0
Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!
x(x - 4)(x + 2) = 0
Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).
x = 0(x - 4) = 0x = 4
(x + 2) = 0x = -2
The zeros of the polynomial function are -2, 0, and 4.
What percent of the figure is shaded?
40% of the figure is shaded.
The image depicts many grids. These small squares has 10 rows and 10 columns. So, the total number of squares are:
10 x 10=100 squares.
Out of 100 squares, 4 rows and their 10 columns are shaded. So,
4*10=40 squares
So, 40 squares are shaded. To find the percentage we can use the formula:
Shaded/ Total Squares x 100
= 40/100 x 100
= 40%
Therefore, 40 percent of the figure is shaded.
To find what percent of a figure is shaded, calculate the shaded area divided by the total area and multiply by 100. In probability distributions, shading indicates the probability that a variable falls within a specific range, such as the 80th or 90th percentile of a distribution.
Explanation:To determine what percent of the figure is shaded, one must first understand the concept of percentage calculations. The percentage is computed by dividing the part (shaded area) by the total area, then multiplying by 100. In the case of probability distributions, the shaded area represents a probability, such as the probability of a variable falling between two values, or the specific percentile of a distribution.
For example, if we have a graph with a horizontal axis for X, and we need to shade the region corresponding to a certain probability or percentile, we need to identify the region under the curve that equates to that percentage. This could involve calculating the area between two x-values or finding a value that corresponds to a given area under the curve, such as the 80th percentile or 90th percentile. To express the result as a percentage, multiply the probability by 100.
Sometimes, the question may provide specific conditions, such as indicating that the shaded area under one curve is equal to the area of another shape, like a rectangle or another curve. In this case, we can assume the two percentages are equal and express the probability of one as the same percentage as the other.
Calculate the volume of this prism.
Find the volume of what the full rectangle would be then find the area of the missing piece and subtract:
10 x 12 x = 960 cm^3
4 x 5 x 8 = 160 cm^3
960 - 160 = 800 cm^3
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for movie rentals?
Answer:
y=$2.95x+$479.4
Step-by-step explanation:
Let
x----> the number of movie rentals
y ----> the cost for movie rentals
we know that
The expression that represent the monthly cost is equal to
y=$2.95x+$39.95
1 year has 12 months
so
The expression that represent the yearly cost is equal to
y=$2.95x+$39.95*(12)
y=$2.95x+$479.4
Answer:
A
Step-by-step explanation:
An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom of the house
Answer: a^2+b^2=c^2
Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2
324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31
Answer:
11.3137085 ft
Step-by-step explanation:
The length (l) of the ladder is 18ft
The height (h) of the ladder from the ground is 14 ft
The distance (x) of the foot of the ladder to the bottom of the house is:
Applying the Pythagorean theorem:
x² = l² - h²
x = [tex]\sqrt{l^2 - h^2}[/tex]
x = [tex]\sqrt{18^2 - 14^2}[/tex] = 11.3137085 ft
Given: ∠1 ≅ ∠9
Which lines must be parallel?
Answer: r and s because these are the lines that 1 and 9 are on
The answer is r and s.
Hope this helps!
The function f(x) = 9.75x + 62 models the amount
of money that Hector earned working x hours in a
week. The function g(x) = 7.5x + 84 models the
amount of money that Cart earned working x
hours in the same week Which function, h(x).
models the difference in Hector's and Cari's
earnings?
a. h(x) = 17.25x - 22
b. h(x) = 17.25x + 146
c. h(x) = 2.25x - 22
d. h(x) = 2.25x + 146
The answer is:
The third option,
c) [tex]h(x)=2.25x-22[/tex]
Why?We are given the functions E(x) and K(x), since they both are function of the same variable, we need to calculate the difference between them.
From the statement we know the functions:
[tex]f(x)=9.75x+62[/tex]
and
[tex]g(x)=7.5x+84[/tex]
So, calculating the difference the functions we have:
[tex]h(x)=f(x)-g(x)[/tex]
[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]
[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]
[tex]h(x)=9.75x-7.5x+62-84[/tex]
[tex]h(x)=2.25x-22[/tex]
Hence, the answer is the third option,
c) [tex]h(x)=2.25x-22[/tex]
Have a nice day!
Answer: Option C
[tex]h(x)=2.25x-22[/tex]
Step-by-step explanation:
To find the function h(x) that models the difference between Hector's and Cari's gains, subtract the functions f(x) with g(x)
That is to say:
[tex]h (x) = f (x) -g (x)[/tex]
We know that
[tex]f (x) = 9.75x + 62\\\\g (x) = 7.5x + 84[/tex]
Then we can find the function h(x)
[tex]h(x) = 9.75x + 62 - (7.5x + 84)\\\\h(x) = 9.75x + 62 -7.5x -84[/tex]
[tex]h(x)=2.25x-22[/tex]
What value of x is in the solution set of 3(x - 4) = 5x + 2?
Answer:
- 10
Step-by-step explanation:
Given
3(x - 4) ≥ 5x + 2 ← distribute left side
3x - 12 ≥ 5x + 2 ( subtract 3x from both sides )
- 12 ≥ 2x + 2 ( subtract 2 from both sides )
- 14 ≥ 2x ( divide both sides by 2 )
- 7 ≥ x ⇒ x ≤ - 7
The only value from the list that is in the solution set is
x = - 10
The value of x is -10
The correct option is (A)
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Given expression:
3(x - 4) ≥ 5x + 2
Using distributive law,
3x - 12 ≥ 5x + 2
- 12 ≥ 2x + 2 ( subtract 2 from both sides )
- 14 ≥ 2x ( divide both sides by 2 )
- 7 ≥ x
x ≤ - 7
Hence, x is less than and equal -7 so the only solution is -10
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A shade of green paint is made by mixing yellow paint and blue paint in the ratio 5:2. Mel has 30 litres of yellow paint and 9 litres of blue paint.what is the maximum amount of green paint she can make?
Answer:
31.5 litres
Step-by-step explanation:
If Mel uses all 30 litres of yellow paint, then:
5 / 2 = 30 / x
5x = 60
x = 12
Mel would need 12 litres of blue paint, but she only has 9 litres. So the amount of yellow paint she needs is:
5 / 2 = x / 9
2x = 45
x = 22.5
Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.
She can make a maximum of 28 litres of green paint.
To find the maximum amount of green paint Mel can make with her yellow and blue paint, we must use the ratio of 5:2 (yellow to blue) given for mixing the green paint.
Firstly, calculate the number of batches of green paint that can be made with the available yellow paint:
Mel has 30 litres of yellow paint and needs 5 litres per batch of green paint, so she can make 30 ÷ 5 = 6 batches from the yellow paint.
Next, calculate the number of batches that can be made with the blue paint:
Mel has 9 litres of blue paint and needs 2 litres per batch of green paint, so she can make 9 ÷ 2 = 4.5 batches from the blue paint.
However, since we cannot have half a batch, the maximum number of full batches Mel can produce from the blue paint is 4.
The limiting reactant here is the blue paint since it allows fewer batches to be made. Therefore, Mel can only make 4 full batches of green paint.
To find the total amount of the green paint from the batches:
Combine the ratios, which add up to 7 parts (5 parts yellow and 2 parts blue).
Multiply the number of batches by the sum of the parts: 4 batches × 7 parts per batch = 28 litres of green paint.
Thus, the maximum amount of green paint Mel can make is 28 litres.
NEED HELP ASAP
Which statements are true regarding the area of circle D?
Check all that apply.
The area of the circle depends on the square of the
radius.
The area of circle Dis 36 cm?
The area of circle Dis 324 cm?
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.
Answer:
A.) The are of the circle depends on the square of the radius
Step-by-step explanation:
To find the area, use the formula A= pi r^2
A= pi(18^2)= 1017.88
so A and B are not correct
Pi is a constant and is never changing.
Central Angle doesn't apply to this problem
so the correct answer is the first choice
The following statements are correct with reference to the circle given -
The area of the circle depends on the square of the radius.The area of circle D is 324π cm².What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a circle with the radius 18 cm.
The area of the circle is given by -
A = πr²
A = 18 x 18 x π
A = 324π
Therefore, we can conclude that the following statements are correct with reference to the circle given -
The area of the circle depends on the square of the radius.The area of circle D is 324π cm².To solve more questions on areas, visit the link-
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Let (-6,-5) be a point on the terminal side of theta
Find the exact value of sin theta, csc theta, and cot theta
Answer:
Part 1) [tex]sin(\theta)=-\frac{5\sqrt{61}}{61}[/tex] or [tex]sin(\theta)=-\frac{5}{\sqrt{61}}[/tex]
Part 2) [tex]csc(\theta)=-\frac{\sqrt{61}}{5}[/tex]
Part 3) [tex]cot(\theta)=\frac{6}{5}[/tex]
Step-by-step explanation:
we know that
The point (-6,-5) lies on the III Quadrant
so
sin(theta) is negative
csc(theta) is negative
cot(theta) is positive
Part 1) Find the sine of angle theta
we know that
The function sine is equal to divide the opposite side to the angle theta by the hypotenuse
[tex]sin(\theta)=\frac{y}{r}[/tex]
we have
[tex]x=6\ units,y=5\ units[/tex]
Applying the Pythagoras Theorem
[tex]r^{2}=x^{2}+y^{2}[/tex]
substitute
[tex]r^{2}=6^{2}+5^{2}[/tex]
[tex]r^{2}=61[/tex]
[tex]r=\sqrt{61}\ units[/tex] -----> the hypotenuse
substitute
[tex]sin(\theta)=\frac{5}{\sqrt{61}}[/tex]
Simplify
[tex]sin(\theta)=\frac{5\sqrt{61}}{61}[/tex]
Remember that the sin(theta) is negative
so
[tex]sin(\theta)=-\frac{5\sqrt{61}}{61}[/tex]
Part 2) Find the cosecant of angle theta
we know that
The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta
[tex]csc(\theta)=1/sin(\theta)=\frac{r}{y}[/tex]
we have
[tex]sin(\theta)=-\frac{5}{\sqrt{61}}[/tex]
so
[tex]csc(\theta)=-\frac{\sqrt{61}}{5}[/tex]
Part 3) Find the cotangent of angle theta
we know that
The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta
[tex]cot(\theta)=\frac{x}{y}[/tex]
we have
[tex]x=6\ units,y=5\ units[/tex]
substitute
[tex]cot(\theta)=\frac{6}{5}[/tex]
The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.
Explanation:In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.
To answer your question:
sin theta = y/r = (-5)/sqrt((-6)^2+(-5)^2) = -5/sqrt(61)csc theta = 1/sin(theta) = sqrt(61)/-5cot theta = cos(theta)/sin(theta) = x/y = -6/-5 = 6/5Learn more about Trigonometric Values here:https://brainly.com/question/29069676
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Makayla has $8 to buy tickets at the school fair. Each ticket costs @1.5. Which inequality best represents how many tickets she can buy?
n=number of tickets
a. n<=5 b. n<8 c. n<=6 d. n<5
Answer:
[tex]n\le 5[/tex]
Step-by-step explanation:
Let n be the number of tickets Makaya has to buy.
If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.
Makayla has $8 to buy tickets at the school fair, thus
[tex]1.5n\le 8\\ \\n\le \dfrac{8}{1.5}\\ \\n\le \dfrac{80}{15}\\ \\n\le \dfrac{16}{3}\\ \\n\le 5\dfrac{2}{3}[/tex]
The maximum number of tickets Makaya can buy is 5, so
[tex]n\le 5[/tex]
mr. cuddy draws a triangle with a perimeter of 36cm. Principal Aranda says that the longest side measures 18 cm, How do you know that the principal Aranda is incorrect? Explain
Answer:
See the procedure
Step-by-step explanation:
we know that
The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
a,b,c the lengths side of triangle
c is the greater side
The perimeter is equal to
P=a+b+c
P=36 cm
If c=18 cm
then
a+b=18
Applying the Triangle Inequality Theorem
a+b > c
18 > 18 ----> is not true
therefore
Principal Aranda is incorrect
The larger side cannot measure 18 cm
The largest side must be less than 18 cm
-1/2 (4x+2) (is less than) 0
Answer:
x > -1/2
Step-by-step explanation:
Step 1: Use the Distributive Property
-2x - 1 < 0
Step 2: Isolate x
-2x < 1
Step 3: Simplify
x > -1/2
Note that when dividing by a negative in an inequality, reverse the inequality symbol.
Please help! Thank you so much!!
Answer:
The answer is 11 100%FOR SURE BELIEVE ME!!!
Step-by-step explanation:
A,B= (2*11)=22-3= 19
B,C= (11+1)=12
A,C= 19+12= 31
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