Answer:
$60
Step-by-step explanation:
On a coordinate plane, a triangle with side length of 5 has points (negative 4, 1), (0, 4), (4, 1). A triangle with a side length of x has points (negative 2, negative 1), (0, negative 2), (2, negative 1).
The smaller triangle is the image of the bigger triangle after a sequence of transformations. What is the value of x?
x =
units
Answer:
X=2.5
Step-by-step explanation:
On Edge
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is . Input numbers and decimal point only, such as 5.8.
Answer: 2.5-1.4=1.1 your welcome
Answer:
1.1
Explanation:
If you subtract 2.5 by 1.4, you get 1.1
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A plumber is connecting pipes in the shape of a triangle. Which of the following pipe lengths could form a triangle?
15,6,5
13,12,5
40,20,10
19,16,2
Answer: 13,12,5
Step-by-step explanation:
According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.
since [tex]6+5 =11 \ngtr 15[/tex]
[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]
Only pipe lengths with measure 13,12,5 can form triangle as
13+12 >5
12+5>13
13+5>12
Hence, the correct option is 13,12,5.
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
–10
–7
–5
3
15
24
Answer: -10,-5,3,15
A,C,D,E
The next one is a= -5, b=1, c=-5, d=-12
The last one is 3 & 4
The rational root theorem is used to determine the potential roots of a function.
The potential roots are: [tex]\mathbf{-10, -5, 3, 15}[/tex]
The function is given as:
[tex]\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}[/tex]
For a polynomial function:
[tex]\mathbf{P(x) = px^n +.............+ q}[/tex]
The potential roots are:
[tex]\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
The factors of 60 are:
[tex]\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The factor of 1 is:
[tex]\mathbf{1 = \pm 1}[/tex]
So, we have:
[tex]\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}[/tex]
[tex]\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The potential roots in the option are:
[tex]\mathbf{Factors= -10, -5, 3, 15}[/tex]
Read more about rational root theorems at:
https://brainly.com/question/9353378
how many arrangements are there of the letters in the word: CHAPTERS
Answer: 40320 ways
Step-by-step explanation:
From the question, we are informed that we should the number of arrangements that are in the letters in the word: CHAPTERS.
First, we should note that there are 8 letters in the word CHAPTERS, therefore the number of ways that the word can be arranged is 8! which simply means:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40320 ways
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Determine whether the table below represents a linear function. Explain your reasoning.
Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
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Johan is buying 3 tickets for each of 2 movies. Each ticket costs $11.75. How much money will Johan spend?
Answer:
Johan spends $70.50.
Step-by-step explanation:
3 * 2 * 11.75 = 70.50
A rafter makes an angle of 22.5° with the roof joist, as shown
How tall is the board supporting the middle of the roof?
Answer:
≈ 5 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle.
let the height of the board be h , then
tan22.5° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{12}[/tex] ( multiply both sides by 12 )
12 × tan22.5° = h , then
h ≈ 5 ft ( to the nearest whole number )
simplify the given rational expression: x-2 x²-4
Answer: 1/(x+2)Step-by-step explanation:=(x-2)(1)/(x-2)(x+2) cancel (x-2)=1/(x+2)
Step-by-step explanation:
Plz help I don’t know the answer
and ice cream factory makes 240 quarts of ice cream in 2 hours. how many quarts could be made in 36 hours? What was that rate per day?
Answer:
Step-by-step explanation:
So first I divided 240 by 2 to get the hourly rate, which is 120. Then i multiplied 120 times 36 and got 4,320 quarts in 36 hours. The daily rate is 2,880, I got that by multiplying 120 by 24 because there are 24 hours in a day.
24 Which expression 18 a factor of 81.x2 – 25?
Answer:
[F]Step-by-step explanation:
9x-5 is a factor of [tex]81x^{2} -25[/tex]
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WORTH 10 POINTS
ANSWER ASAP ⚠️⚠️⚠️⚠️⚠️⚠️
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Answer:
32 days is my final answer
Step-by-step explanation:
HELP PLS MY MOM IS GONNA BE MADDDD
5/8 ÷ 1/4
5/8 • 4/1
5/2
Answer:
2.5 If I am right
Step-by-step explanation:
5/8 divided by 1/4= 2.5
I think
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Write an equivalent expression. 1/3(12x+6x-21)=
Answer:
Step-by-step explanation:
1/3(12x+6x-21)
Take 1/3 of everything in the ()
4x+2x-7 combine like terms
6x-7
The equivalent expression is 6x - 7
Given the function 1/3(12x+6x-21), to get the equivalent expression, we will open the parenthesis using the distributive law;
= 1/3(12x+6x-21)
= 1/3(12x) + 1/3(6x) - 1/3(21)
= 4x + 2x - 7
On simplification, the resulting expression will be:
= 6x - 7
Hence the equivalent expression is 6x - 7
Learn more on functions here: https://brainly.com/question/19999031
-7q + 12r = 3q - 4r what dose r equal
Answer:
r = 5y/8
Step-by-step explanation:
isolate the variable by dividing each side by factors that contain the variable.
trigonometry ratio of multiple angles
Answer:
See Attached
Step-by-step explanation:
See Attached for proof of RHS = LHS
PLEASEEE HELPPPPPPPP JSBSJSBDSB
Answer:
-11
Step-by-step explanation:
find the missing side length. and how do i set up to solve?
Answer:
its 6 because the lines show they are parellel so it has to be equal to 18 and 12 plus 6 is 18
Step-by-step explanation:
Please Help ASAP!!!!!
Answer:
3.05 ft
Step-by-step explanation:
Enter an equation in standard form of the line.
(4,-9) and (2, -3) are on the line.(10 points)
Answer:
((7
Step-by-step explanation:
Select ALL of the terms below that make the following statement true.
Every rectangle is a ___________.
A. parallelogram
B. square
C. quadrilateral
D. rhombus
Answer:
quadrilateral
Step-by-step explanation:
toby has $13 to buy t-shirts for his bowling team. Each t-shirt costs $4. How many t-shirts can he buy?
Answer:
3
Step-by-step explanation:
13 ÷ 4 = 3.25
but you wont by .25 of a shirt so he can only buy 3 shirts
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and
each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and
a drink, which expression can be used to express the total cost of the meal?
A 8.50a + 6.75k + 1.75
B a(8.50 + 1.75) + 6.75k
C (a + k)(8.50 + 6.75 + 1.75)
D 8.50a + 6.75k + 1.75(a + k)
Answer:
D
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Chase and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Chase starts with 19 points, and his little brother starts with 27 points. Chase gets 3 points for every successful shot, and his brother, since he is younger, gets 1 point for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have? How many additional shots will each brother have made? Chase and his brother will both have a score of by making shots.
Answer:
Chase and his brother will both have a score of 31 points by making 4 successful shots.
Step-by-step explanation:
Given that initially Chase has 19 points and his brother has 27 points.
In one successful flip, Chase get 3 points and in one successful flip, his little brother get 3 points
Assuming that both have the same score after n number successful flip of the coin.
So, points earned by Chase in n successful flip [tex]= 3\times n =3n[/tex]
and points earned by his little brother in n successful flip [tex]= 1\times n=n[/tex].
Total points of Chase [tex]= 19+3n\cdots(i)[/tex]
Total points of his little brother [tex]= 27 + n\cdots(ii)[/tex]
As the brothers have tied scores in the game, that means both have the same score, so from equations (i) and (ii), we have
[tex]19+3n = 27 + n \\\\\Rightarrow 3n-n = 27-19 \\\\\Rightarrow 2n=8 \\\\\Rightarrow n=8/2=4[/tex]
So, after n successful throw, both have the same score.
Hence, each brother made 4 additional successful shots.
Now, put n=4 inequation (i) or (ii) to get the total points, i.e
Total points of each brother [tex]= 19+ 3\times 4 = 31.[/tex]
Hence, each brother has 31 points.
A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a ride from the airport is $7. The driver collected a total of $294 for the day. Let x represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair (x,y) that represents the solution in this situation.
Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
[tex] x + y = 27 [/tex] => equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
[tex] 14x + 7y = 294 [/tex] => equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × [tex] x + y = 27 [/tex]
1 × [tex] 14x + 7y = 294 [/tex]
Thus:
[tex] 7x + 7y = 189 [/tex] => equation 3
[tex] 14x + 7y = 294 [/tex] => equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1
[tex] x + y = 27 [/tex]
[tex] 15 + y = 27 [/tex]
Subtract both sides by 15
[tex] y = 27 - 15 [/tex]
[tex] y = 12 [/tex]
The ordered pair would be (15, 12)
what is 0.4 rounded? is it possible to turn it into another pair of decimal numbers or can I only change it to a whole number?
Answer:
Im a little confused on what your asking but for 0.4 as a decimal is 0.4,for a fraction 0.4 is 2/5 and for a percent 0.4 is 40%
Step-by-step explanation:
I hope this helps!!