what is the x-coordinate of R' ?
Answer:
3
Step-by-step explanation:
Answer:
12
The x-axis is the horizontal one. The full coordinate is (12, 0), which the x-coordinate (or x-intercept) is 12.
When 4x2 + 7x - 5 is subtracted from 9x2 - 2x + 3, the result is
A company offers a nut mixture with 4 peanuts for every 3 almonds. The company changes the mixture to have 8 peanuts for every 3 almonds, but the number of nuts per container does not change. How many nuts are in the smallest possible container?
Answer:
77 nuts
Step-by-step explanation:
From the above question:
We have ratio
Peanuts : Almonds
The original mixture is given as:
A company offers a nut mixture with 4 peanuts for every 3 almonds.
4 : 3
The sum of the proportion = 7
Hence, there are 7 nuts in the container
The new mixture
The company changes the mixture to have 8 peanuts for every 3 almonds,
8 : 3
Sum of the proportion = 11
We are told : the number of nuts per container does not change.
How many nuts are in the smallest possible container?
To solve this, we use the Lowest Common Multiple principle
We find the L. C. M of 7 and 11
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99
Therefore,
LCM(7, 11) = 77
Therefore, the number of nuts in the smallest possible container is 77 nuts
1. Which of the equations below will answer the following question? Check (!) all that apply.
“I think of a number, add 7 and then multiply by 4.
My answer is 80. What was my number?”
1. ¿Cuál de las siguientes ecuaciones responderá a la siguiente pregunta? Marque todo lo que corresponda.
“Pienso en un número, le sumo 7 y luego lo multiplico por 4.
Mi respuesta es 80. ¿Cuál era mi número?”
The correct option is B. 4(x+7) = 80.
Adding 7 to the number then multiplying it with 4 given the result 80 is shown by the equation; 4(x+7) = 80.
What is defined as the mathematical operations?Calculating a value with operands as well as a math operator is referred to as a mathematical "operation." The math operator symbol has predefined rules that must be applied to a given operands and numbers.
Operands are the numbers that are used in an operation. The operands are given different names depending on the type of operation.An operator is a symbol that represents a mathematical operation, such as:+ for addition− for subtraction× for multiplication÷ for division = equal to denotes equivalence, indicating that left hand side value is equal to a right hand side value.Now as per the given question;
Let us assume that the given number is 'x'.
Adding 7 to this number will form; x + 7.
Now, multiplying the number resultant number with 4 gives; 4(x + 7)
Now the number formed is equal to the result 80.
Thus, 4(x + 7) = 80.
Therefore, the equation which correctly represents the given formation is 4(x + 7) = 80.
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The correct question is -
Which of the equations below will answer the following question? Select all that apply. Explain your answers.
I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?
A. x + 28 = 80
B. 4(x+7) = 80
C. 4x + 7 = 80
D. 4x + 28 = 80
Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezclar, cuantas malteadas de tres sabores distintos puede elegir un cliente en esa heladeria
Answer:
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
Step-by-step explanation:
En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:
1) El primer sabor sale de cualquiera de las 20 frutas disponibles.
2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.
3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.
Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:
[tex]n\mathbb{P}k = \frac{n!}{(n-k)!}[/tex] (1)
Donde:
[tex]n[/tex] - Número de sabores disponibles, adimensional.
[tex]k[/tex] - Número de sabores escogidos, adimensional.
Si tenemos que [tex]n = 20[/tex] y [tex]k = 3[/tex], entonces la cantidad de malteadas de tres sabores distintos es:
[tex]n\mathbb{P}k = \frac{20!}{(20-3)!}[/tex]
[tex]n\mathbb{P}k = \frac{20!}{17!}[/tex]
[tex]n\mathbb{P}k = 20\cdot 19\cdot 18[/tex]
[tex]n\mathbb{P}k = 6840[/tex]
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
Is the point (4,2) the solution to the system? Why or why not? Explain your reasoning.
2x-y+6
x+y=6
please help me with this :D
Solve the equation check your solution
-a= -24
Answer:
a = 24
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define Equation
-a = -24
Step 2: Solve for a
Divide both sides by -1: a = 24Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: -(24) = -24Multiply: -24 = -24Here we see that -24 does indeed equal -24.
∴ a = 24 is the solution to the equation.
NEED HELP ASAP!
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?
9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
-5x - 4x < -9 help me solve it
Plzzzzzzzz help me.
The number positioned at point B is...
Hellppp pleaseeeee idk what this is but help please and thank you
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
Drag the correct steps into order to solve the equation -6x+18=-6 for x.
Answer:
When solving for x in the following equation: -6x + 18 = -6
step 1: -6x +18 - 18 = -6 - 18 (subtract 18 from both side)
step 2. -6x/-6 = -24 / -6 (divide both sides by -6 to isolate x by itself)
x = 4
Step-by-step explanation:
The value of x in the expression - 6x + 18 = - 6, is 4.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given an expression - 6x + 18 = - 6 solving for x is the same as finding the value of x.
∴ - 6x + 18 = - 6.
- 6x = - 6 - 18.
- 6x = - 24.
6x = 24.
x = 4.
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what is [tex]\frac{1}{25}[/tex] as a decimal
Answer:
0.04
Step-by-step explanation:
You have to divide 1 and 25 and your answer will be 0.04 :)
Spending $1000 from a savings account paying 4 percent of interest a year means a opportunity cost of how much money a year?
A. $80
B. $40
C. $20
D. $10
Rick will participate in a walk-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function
Which of these statements are correct? Select all that apply.
Answer: B and E
Step-by-step explanation:
Answer:
b and e
Step-by-step explanation:
a circular oil spill continues to increase in size. the radius of the oil spill, in miles, is given by the function r(t)
A composite function to find the area of the region at time t is written as-
A(r(t)) = π(0.25 + 2t + 4t²)
What is composite function?f(g(x)) or (f ∘ g)(x) represents the composition of functions f(x) & g(x), where g(x) acts first (x). It integrates a number of functions to produce another.
The output of one function inside the parenthesis is becoming the input of the other function in a function composition. i.e.,
In f(g(x)), g(x) is f's input (x).In g(f(x)), f(x) is g's input (x).Now, as per the given question;
To create a composite function, we pertain one function to another. In this scenario, we would like to find area in terms of time, so we apply the function A(r) to the function r. (t).
To accomplish this, we substitute r with r(t).
Since we know that r(t) = 0.5 + 2t, we can replace r to 0.5 + 2t:
A(r(t)) = π(0.5+2t)²
To make things easier, we'll simplify this same squared term:
A(r(t)) = π(0.5 + 2t)(0.5 + 2t)
A(r(t)) = π[(0.5×0.5) + (0.5×2t) + (2t×0.5) + (2t×2t)]
A(r(t)) = π(0.25 + t + t + 4t²)
A(r(t)) = π(0.25 + 2t + 4t²)
Therefore, the composite function to find the area of the region at time t is written as A(r(t)) = π(0.25 + 2t + 4t²).
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The complete question is-
A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t. Explain how to write a composite function to find the area of the region at time t.
An arithmetic sequence has this recursive formula: a1=8 an=an-1-6 what is the explicit formula for this sequence
Answer:
D
Step-by-step explanation:
a p e x
The explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]
How to determine the explicit formula?The sequence is given as:
a1 = 8
[tex]a_n = a_{n-1} - 6[/tex]
Set n = 2
[tex]a_2 = a_{1} - 6[/tex]
This gives
a2 = 8 - 6
a2 = 2
Calculate the common difference (d)
d = a2 - a1
This gives
d = 2 - 8
Evaluate
a = -6
The explicit formula is then calculated as:
[tex]a_n = a_1 + (n -1)d[/tex]
This gives
[tex]a_n = 8-6 (n -1)[/tex]
Expand
[tex]a_n = 8-6n +6[/tex]
Evaluate the like terms
[tex]a_n = 14-6n[/tex]
Hence, the explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]
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Juan collected 7,006 sports cards throughout his life. He gave 5,479 sports cards to his friends and a charity. How many sports cards did he keep?
OA 2,473
B.
2.527
OC. 1427
oD. 1527 help sos
Answer:1533
Step-by-step explanation:
7006-5,479=1533
Kendra wants to know how many flower arrangements can Kendra make that have the same number of daisies and roses in the arrangement
Roses will have six arrangements, while daisies will have ten.
Each bouquet will contain two flowers.
What does HCF in mathematics?The highest common factor (HCF) between two or more numbers is two.
Amanda is arranging flowers in accordance with the question. She has 36 tulips, 20 daises, and 16 roses.
Every bouquet must have an equal amount of daisies, a reasonable quantity of roses, and an equal number of tulips.
The least common divisor, which is 2 instead of HCF, which would make it the least amount of arrangements, is the most arrangements she is capable of making.
based on the facts provided;
So,
20 daisies divided by 2 is 10 arrangements.
12 roses divided by 2 is 6 arrangements.
There will be 2 flowers in each kind of arrangements.
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7 tasks in 3/5 hour.
Answer:
thats me in among us
Step-by-step explanation:
Gabby rode her bike 6 miles in 40 minutes. Monica rode her bike 8 miles in 40 minutes. If both girls continue to ride at the same pace, how much further will Monica ride than Gabby at the end of two hours?
Step-by-step explanation:
Gabby will ride for 9 miles and Monica will ride for 12 miles
40×1.5=60 mins
6×1.5=9
8×1.5=12
What is the opposite operation of the square root?
Answer:
The opposite of multiplication is division. The opposite of division is multiplication. The opposite of taking a square root is squaring
Step-by-step explanation:
The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?
Answer:
p = -8
Step-by-step explanation:
Since, (x - 12) is a factor, then;
x - 12 = 0
x = 12
substitute the value of x in the equation
[tex]x^{2}[/tex] + px - 48 = 0
[tex](12)^{2}[/tex] + 12p - 48 = 0
144 + 12p -48
12p = -144 + 48
12p = -96
p = -8
So that,
[tex]x^{2}[/tex] +-8x - 48 = 0
[tex]x^{2}[/tex] -12x + 4X- 48 = 0
([tex]x^{2}[/tex] -12x) + (4X- 48)
X(X - 12) + 4(X - 12)
(X - 12) (X + 4)
Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.
The game spinner above is colored 1/2 blue
This is not full question I think
You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Who does the most situ-ps per minute? How many more sit-ups does that person do compared to the other one?
Answer:
They are equal
Step-by-step explanation:
90/2=45
135/3=45
Solve the following inequality
47 - 3x) < -20
A
X>4
B
X<-60
С
X<-36
D
X>8
Answer:
the answer would be A i believe
what is a linear equation that contains these points?
Answer:
C
Step-by-step explanation:
If you plug in the numbers into that equation you get
1 = -2(2) + 5
1 = -4 + 5
1 = 1
You can also do this again with x = 5 y = -5
-5 = -2(5) + 5
-5 = -10 + 5
-5 = -5
WILL GIVE BRAINLIEST