Answer:
Step-by-step explanation:
A number that cannot be exactly expressed as a ratio of two integers.
An irrational number cannot be written as a simple fraction.
Pi is a famous irrational number.
Jenna and Becca were both selling cookies door to door. Jenna sold 8 boxes of cookies for every 3 boxes of cookies Becca sold. Combined, they sold a total of 385 boxes of cookies. How many boxes did each girl sell
Answer: Jenna sold 280 and Becca sold 105 boxes.
Step-by-step explanation:
Let 3x be the number of cookies Becca sold.
Then, the number of cookies Jenna sold = 8x
Since Combined, they sold a total of 385 boxes of cookies.
So, [tex]3x+8x=385[/tex]
[tex]\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35[/tex]
So, Jenna sold 8(35) = 280 boxes
and Becca sold 3(35)= 105 boxes
Hence, Jenna sold 280 and Becca sold 105 boxes.
Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2 plz help
Answer:
(-3, -5)
Step-by-step explanation:
By using the distance formula, we see that the length of RT is [tex]\sqrt{(6+9)^2+(-2+7)^2}[/tex] which equals [tex]5\sqrt{10}[/tex].
The ratio of RS to ST is 3:2, so we can write the distance of RS as [tex](5\sqrt{10} / 5) * 3[/tex] which equals [tex]3\sqrt{10}[/tex]. The distance of ST is then [tex]2\sqrt{10}[/tex].
Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:
[tex]\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}[/tex] and [tex]\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}[/tex]
We solve for x and y, getting (-3, -5).
The required coordinate point s is (-3, -5).
Given that,
The points R (6,-2) and T (-9,- 7).
To find the coordinates of point S on line RT such that the ratio of RS to ST is 3: 2
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
Let the coordinates of s be (x, y)
Applying the section formula,
x = [mx₂ + nx₁]/ m+n ; y = [my₂ + ny₁]/ m+n
Since, m = 3 n = 2,
x = [3*-9 + 6*2] / 3 + 2 ; y = [-7*3 + -2*2] / 3 + 2
x = [-27 + 12] / 5 ; y = [-21 - 4]/ 5
x = [-15] / 5 ; y = -25 / 5
x = -3 ; y = -5
Thus, the required coordinate point s is (-3, -5)
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Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
A two-digit number is 3 times the sum of the digits. If the digits are reversed, the new number formed is 9 less than three times the original number. What is the two-digit number?
Answer:
27
Step-by-step explanation:
2+7=9.
9x3=27
72+9=81
27x3=81
Solve the equation. 1 w = -17
Answer:
This equation is solved w=-17
Step-by-step explanation:
Hope it will help :)
Answer:
w = -17
Step-by-step explanation:
5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in two pieces where one is two feet longer than the other. How long is the shorter piece of fabric going to be?
Answer:
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Step-by-step explanation:
Total yards of fabrics = 6 yards
you need to cut it in two pieces where one is two feet longer than the other.
First piece= x feet
Second piece= x+2 feet
Convert 6 yards to feet
6 yards = 18 feet
First piece + second piece = total piece of fabrics
x + (x+2) = 18
x + x + 2 = 18
2x + 2 = 18
2x = 18 - 2
2x = 16
Divide both sides by 2
x = 16 / 2
x = 8 feet
8 feet = 2.66667 yards
x + 2
= 8 + 2
= 10 feet
10 feet = 3.33333 yards
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
ASAP please help me!!
Answer:
A = –3
B = 7
Step-by-step explanation:
[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷
The value of a and b can be obtained as shown in the attached photo.
Given the following formula, with A= 27 and t=3, solve for r.
А=P(1 + Tt)
Answer:
Option C. r = (27 – P)/3P
Step-by-step explanation:
The following data were obtained from the question:
A = 27
t = 3
r =?
А = P(1 + rt)
With the above formula, we can obtain the value of r as follow
А = P(1 + rt)
27 = P(1 + 3r)
Divide both side by P
27/P = 1 + 3r
Subtract 1 from both side
27/P – 1 = 1 – 1 + 3r
27/P – 1 = 3r
(27 – P)/P = 3r
Divide both side by 3
r = (27 – P)/P ÷ 3
r = (27 – P)/P × 1/3
r = (27 – P)/3P
Un terreno ha sido cultivado con tres variedades de claveles. La sexta parte ha sido sembrada por
claveles rojos, la cuarta parte por claveles amarillos y el resto por claveles blancos.
Actividad 1
1 ¿Qué parte del terreno se sembró con claveles rojos y amarillos? Utilice el espacio para hacer
el proceso.
Answer:
1) Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos, 2) Se siembra siete doceavas partes del terreno con claveles blancos.
Step-by-step explanation:
El enunciado se encuentra incompleto. La pregunta faltante es:
2 ¿Qué parte del terreno corresponde a los claveles blancos?
1) Sea [tex]A[/tex] el área total sembrada con los tres tipos de claveles. Entonces, las áreas sembradas con claveles rojos y claveles amarillos son [tex]\frac{1}{6}\cdot A[/tex] y [tex]\frac{1}{4} \cdot A[/tex], respectivamente.
El área sembrada con claveles rojos y amarillos se obtiene al sumar las áreas correspondientes, es decir:
[tex]x = \frac{1}{6}\cdot A + \frac{1}{4}\cdot A[/tex]
[tex]x = \left(\frac{1}{6}+\frac{1}{4}\right)\cdot A[/tex]
[tex]x = \left(\frac{4+6}{24} \right)\cdot A[/tex]
[tex]x = \frac{10}{24}\cdot A[/tex]
[tex]x = \frac{5}{12}\cdot A[/tex]
Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos.
2) El área sembrada con claveles blancos se obtiene al sustraer el área obtenida en el punto anterior del área total. Esto es:
[tex]x = A - \frac{5}{12}\cdot A[/tex]
[tex]x = \left(1-\frac{5}{12} \right)\cdot A[/tex]
[tex]x = \left(\frac{12}{12}-\frac{5}{12} \right)\cdot A[/tex]
[tex]x = \left(\frac{12-5}{12} \right)\cdot A[/tex]
[tex]x = \frac{7}{12}\cdot A[/tex]
Se siembra siete doceavas partes del terreno con claveles blancos.
Answer:
Step-by-step explanation:
>:C
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Answer:
Step-by-step explanation:
A= LxW
Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,
(w + 2) x w = 48
w(w+2)=48
Answer:
B)w(w + 2) = 48
Step-by-step explanation:
edg2021
am=n+p solve for a. it has to be a literal equation i think.. lol
Answer:
a = (n+p)/m
Step-by-step explanation:
Divide both side by m to isolate a.
a = (n+p)/m
On solving for a, we get -
a = [tex]$\frac{n +p}{m}[/tex]
We have the following expression -
am = n + p
We have to solve for ' a '.
Solve for x : πx + a = ω .On solving, we get -
πx + a = ω
πx = ω - a
x = [tex]$\frac{\omega-a}{\pi }[/tex]
According to the question, we have -
am = n + p
a = [tex]$\frac{n +p}{m}[/tex]
Hence, on solving for a, we get -
a = [tex]$\frac{n +p}{m}[/tex]
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Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f() = -5x2 + 8x - 1
Of(x) = -222 +50 - 1
O f(x) = -3.x2 + 4.0 – 1
O f() = -3x2 + 10x - 1
Answer:
The equation is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
The general form of a quadratic equation or function f(x) is, f(x) = y = a·x² + b·x + c
Given that the points representing the quadratic function are;
(-1, -8), (0, -1), (1, 2) which are of the form (x, y)
When x = -1, f(x) = y = -8
Plugging in the above values into the general form of a quadratic function, we have;
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.........................(1)
When x = 0, y = -1, we have;
-1 = a·(0)² + b·(0) + c = c
c = -1.......................................(2)
When x = 1, y = 2, which gives;
2 = a·(1)² + b·(1) + c = a + b + c
2 = a + b + c........................(3)
Adding equation (1) to equation (3), we have;
-8 + 2 = a - b + c + a + b + c
-8 + 2 = 2·a + 2·c
From equation (2) c = -1, we get;
-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)
-6 = 2·a - 2
-4 = 2·a
a = -2
From equation (3), we have
2 = a + b + c
Substituting the values of a, and c gives;
2 = -2 + b - 1
b = 2 + 2 + 1 = 5
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1.
Answer:
b
Step-by-step explanation:
Write an expression to represent any angle coterminal with the angle 170° (n is an integer).Write an expression to represent any angle coterminal with the angle 170° (n is an integer).
Answer:
angle = 170° + n·360°
Step-by-step explanation:
Any angle that is a multiple of 360°, added to 170° will be coterminal with 170°:
angle = 170° + n·360°
Answer:
55
Step-by-step explanation:
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku ke 5 adalah 56
Step-by-step explanation:
Harap jawapan tersebut betul
Show work pls!!!!!!!!!!
Answer:
67
Step-by-step explanation:
Step 1: Write out equation
8/r + 9b
Step 2: Define variables
r = 2
b = 7
Step 3: Replace variables
8/2 + 9(7)
4 + 63
67
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Step-by-step explanation:
[tex]tan60° = \frac{x}{10} = \sqrt{3} [/tex]
[tex]x = 10 \sqrt{3} [/tex]
Answer:
[tex]5[/tex][tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5^{2} + b^{2} = 10^{2}[/tex]
[tex]25+b^{2}=100[/tex]
[tex]100-25=b^{2}[/tex]
[tex]b^{2} = 75[/tex]
[tex]\sqrt{75} = 6.88[/tex]
[tex]6.88 = 5\sqrt{3}[/tex]
convert 8 7/8 to an improper fraction
Answer:
71/8
Step-by-step explanation:
8 ⅞ = 71/8
How?
8 × 8 + 7 = 71
Which is 71/8.
Answer:
Hey there! :)
Step-by-step explanation:
~ Answer is 71/8 ~
There is two ways you can do this, they are provided below :)
Steps in order to solve this question!:
~1. First you have to multiply the denominator by the whole number
(The denominator is 8, and the whole number is 8 too)
So, 8x8=64
~2. Next you have to take the 64 and add it to the 7 which is the numerator of 8 7/8.
64+7=71
~3. The answer is 71/8. The denominator is 8 because the denominator never changes.
………………………………………………………………………………………………
Another way you can do this:
8x8+7
_____ <= And this is how we get 71/8
8
~Therefore the answer is 71/8.
~Hope this helps!
(If you still don’t understand than ask for help! You can ask me if you don’t understand any of the steps!)
I would be glad to answer any questions you have about this problem. :D
Which of the following are acceptable ways to name a plane?
(Select all that apply.)
Use any three points in the plane that are not on the same line.
Use any two points.
Use a single capital cursive letter.
Use a Greek alphabet character.
Answer:
A). Use any three points in the plane that are not on the same line.
C). Use a single capital cursive letter.
Step-by-step explanation:
A Plane is defined as a flat surface that is extending infinitely in each and every direction. For Example, a horizontal or a vertical plane. It is a two-dimensional, rigid, and flat. Since it extends infinitely, the width as well as its length cannot be measured.
A plane is named in different ways like by 'using a capital letter in cursive script' or 'by naming the three non-collinear points lying on different lines.' For example, a plane can be named as plane 'P' or ABC. Thus, options A and C are the correct answers.
Which of the following best defines a ray?
a. a section of line with a defined starting point
b. a section of line
c. a side of a figure like a triangle or square
d. a section of line with defined endpoints
Answer:
A
Step-by-step explanation:
Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Answer:
Step-by-step explanation:
Peter can use the 10% of 80 to find 40% by multiplying the 8.7 by 4 because if 10% =8.7 then multiply 8.7 by 4 which is = 34.8 now subtract this from the total, 87-34.8= 52.2 so 40% of 87 is 52.2.
To find out b we need to find out 10% of 64, so we move the decimal which is 6.4, then multiply 6.4 by 4 which is 25.6. then subtract this from the total, 64-25.6= 38.4
Owen knows he only has three pencils in his backpack , and they are all yellow. He reaches into his backpack without looking and takes out a pencil . What is the probability that the pencil was yellow
100% cause owen only has 3 yellow pencils
Answer:
Step-by-step explanation:
The
O over 3 or 1 over 3 or 3 over 3 or 3 over 1
11) A train leaves town A at 17 45 hours on Wednesday and arrives town B after travelling for 10 hours 30 minutes.At what time and day, the train arrived at town B? *
A. 03 15 hours Thursday
B. 04 15 hours Thursday
C. 04 45 hours Thursday
D. 03 45 hours Thursday
A pool measures 15 feet by 17 feet. A cement walkway is added around the pool, to both the width and the length. The area of the pool and the cement walkway is now 483 square feet. What is the width of the cement walkway?
Answer:
3 feet
Step-by-step explanation:
The diagram showing the pool and the walkway has been attached to this response.
The area of the pool = 15feet x 17 feet = 255 square feet
The total area of the pool and the walkway = 483 square feet
The area of the walkway is the difference between the total area and the area of the pool. i.e
Area of walkway = total area - area of pool
Area of walkway = 483 - 255 = 228 square feet
Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.
Area of rectangle A = (17 + 2x) * x = 17x + 2x²
Area of rectangle B = (17 + 2x) * x = 17x + 2x²
Area of rectangle C = 15 * x = 15x
Area of rectangle D = 15 * x = 15x
Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D
228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]
228 = 64x + 4x²
4x² + 64x - 228 = 0
Divide through by 4
x² + 16x - 57 = 0
Now let's solve the quadratic equation:
x² - 3x + 19x - 57 = 0
x(x - 3) + 19(x - 3) = 0
x - 3 = 0 or x + 19 = 0
x = 3 or x = -19
Since width cannot be negative, the correct solution is x = 3
Therefore, the width of the walkway is 3 feet
please help :) love you guys so much thank you for being here :) Choose the number that is greater than: 4.526 x 10 to the 6 power A. 5.79 x 10 to the 5 power B. 9.99 x 10 to the 5 power C. 4.123 x 10 to the 6 power D. 55,264,900
Answer:
D.
Step-by-step explanation:
4.526 x 10^6 = 4,526,000.
55,246,900 is greater than this.
Answer: Hi!
First, we will find value of the equation given, 4.526 * 10^6.
We will solve the exponent first.
10^6 = 10*10*10*10*10*10 = 1,000,000
Now, we will multiply 1,000,000 by 4.526.
4.526 * 1,000,000 = 4,526,000
4,526,000 is the value of 4.526 * 10^6.
We can automatically tell that d), 55,264,900 is greater than 4,526,000. Therefore, d) is your answer.
Hope this helps!
Find m21, mZ2, and m/3.
359
2
1 =
2 =
3 =
Answer:
1=145°
2=35°
3=145°
Step-by-step explanation:
A straight line always measures 180°
35°+a=180°
a=180°-35°
a=145°
Therefore <1=145°
a=<1=145°
b=<2
a+b=180°
145°+b=180°
b=180°-145°
b=35°
b=<2
c=<3
b+c=180°
35°+c=180°
c=180°-35°
c=145°
Hope this helps ;) ❤❤❤
Let me know if there is an error in my answer.
Please help me graph and find the slope. I need an answer ASAP will mark brainliest!
Answer:
y = 0.6x
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
m = (1.2 - 0)/(2 - 0)
m = 1.2/2
m = 0.6
y = 0.6x
Step 2: Find y-intercept b
(0, 0) is y-int
Equation is y = 0.6x
Step 3: Graph
Use point (-5, -3) and (0, 0) to graph
6x – у = -9
—12х – 4 y = 0
Answer:
-15
3
Step-by-step explanation:
6x-y=-9
6x-(15)=-9
-12x-4y=0
-12x-4(3) =0
-12-12=0
Pedro can make $55 in three days mowing lawns. At that rate, how many days will it take him to make $220?
Answer:
I got 12.
Step-by-step explanation:
Divide 55 by 3 to get the amount he makes each day (18.333333, which rounds to 18.33)
Divide the amount he wants to earn by the amount he earns each day (12.00218221, which rounds to 12)
Answer:
12 days
Step-by-step explanation:
First we need to find how much he makes in 1 day:
if $55 in 3 days that means 55/3=$18.33 a day
now 220/18.33≈12 days
Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours. If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week? A. 18(s+2.5)>750 B.18(2.5s + 38) >/= 750 C.18(38) +2.5s >/= 750 D.20.5s > 750
Answer:
C.18(38) +2.5s >/= 750
Step-by-step explanation:
If Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes survey and Patty plans to work 38 Hours then the inequality which shows the earning of atleast $750 is 18(38)+2.5s>=750 which is option C.
What is inequality?Inequality is like an equation which shows the relationship between two or more variables but it is expressed in greater than, less than, greater than or equal to, less than or equal to signs.
How to form inequality?We have been given that the number of surveys is s.
Earning on the basis of hours=18*38
Earning from customer's survey=s*2.50
Earning required by Patty=$750
Inequality which shows atleast $750 earning of Patty is :
18*38+2.50s>=750
we have to use greater than sign because the earning that Patty wants to earn is atleast 750 so it can be equal to or more than 750 dollars.
Hence the inequality will be 18(38)+2.5s<=750.
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What is the domain of g?
Answer:
{ x | -7 ≤ x ≤ 4 }
Step-by-step explanation: