Answer: 7, and 31
Step-by-step explanation:
7 + 12 = 19 or 19 - 12 = 7
19 + 12 = 31
The other number will be - 7.
Yes, There is only one answer.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The difference of two numbers is 12.
And, one of the numbers is 19.
Now,
Let two numbers are x and y.
So, We get;
x + y = 12
Here, one of the numbers is 19.
So, x = 19
We get;
x + y = 12
19 + y = 12
y = 12 - 19
y = - 7
Thus, The other number will be - 7.
Yes, There is only one answer.
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The area of an animal pen is 30 square feet. what are the legnths of the pen's sides if the pen has each given shape?
L = 1.3245 is the legnths of the pen's sides .
What is area and perimeter?
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)
So W = 30 - 2L.
Area = L x W = L (30 - 2L) = 30L - 2L^2.
This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .
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An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan
The device numbers should be less than 18.
Given, internet service provider is charging a rate of $175 per month.
The new plan would charge $94 plus an additional $4.50 per device connected to the network.
we need to find the number of devices for which the cost of the new plan is less than the cost of the current plan.
old plan = $175
New plan = $94 plus $4.50 per device
let us suppose 'x' devices can be connected.
so, 94 ₊ 4.5x < 175
4.5x < 175 ₋ 94
4.5x < 81
x < 81/4.5
x < 18
less than 18.
Hence there should be less than 18 devices connected for the new plan.
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twice the larger of two consecutive integers is equal to fifteen less than three times the smaller
The larger of the two integers is 18 and the smaller integer is 17.
Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .
Let us consider the smaller integer be x.
As the integers are consecutive, the larger integer is (x+1).
Now according to the given condition:
Twice the large integer=2(x+1)
15 less than the 3 times the smaller integer=3x-15
Now the value of these two expressions is equal.
Therefore: [tex]2(x+1)=3x+-15[/tex]
Solving the above equation to find the value of x:
[tex]or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17[/tex]
Therefore the smaller integer is 17.
Larger integer(x+1) : 17+1=18
Therefore the integers are 17 and 18.
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HELPPPP PLS EXPLAIN
PLS HELPPP
Answer: First graph
Step-by-step explanation:
We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).
24x + 64y = 384
64y = -24x + 384
y = [tex]-\frac{24}{64}[/tex]x + 6
The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.
solve for the area and perimeter of the swan show all work and include equations?
Answer:
Step-by-step explanation:
where is the swan?
2. Use what you know about the properties of operations to rewrite the expression 7.4.1.5 = commutative
Natural number multiplication is commutative.
What are the properties of operations?Whole numbers can be multiplied together commutatively.Whole number multiplication is associative.Whole number division distributes over addition.The identity for multiplying whole numbers is 1, or 1.According to the commutative property, altering the order of the elements has no impact on the final result. Commutative's fundamental term is commute or exchange.According to the associative property, altering how the elements are grouped has no impact on the final output. Because humans frequently rearrange the groupings of elements while multiplying numbers to simplify issues, this characteristic strongly relates to the commutative property.We can basically spread out the elements thanks to the distributive principle, making it simpler to work with the numbers. When multiplying mentally, this is a common technique.Although multiplication properties might appear difficult, our students can surely master them with scaffolded help.The given number is commutative as -
7.4.1.5 = 5.1.4.7
The answer will always be same irrespective of the order in which it is multiplied
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what property is illustrated by the statement 2/3 x 3/2 =1
Answer:
Multiplicative inverse or reciprocal.
Step-by-step explanation:
Multiplicative inverse or reciprocal.
1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²
Answer:
21.78 m^2
Step-by-step explanation:
9.9 x 4.4 / 2 = 21.78 m^2
Please helppppp me !,!!!!
Answer:
The last option
y = ⅓x-3
Step-by-step explanation:
Slope-intercept form :
y=mx+c
[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]
[tex]y = \frac{1}{3} x - 3[/tex]
write 26/50 as a decimal fraction
Answer:
13/25
Step-by-step explanation:
hope this helps :)
What is the slope of the line that passes through the points(−4,2) and (−5,0)?
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction does not matter, but it is essential that once a direction is picked for one coordinate, we use the same one then also for the other.
I prefer to go from left to right, so (-5, 0) to (-4, 2) :
x changes by +1 (from -5 to -4).
y changes by +2 (from 0 to 2).
so, the slope is +2/+1 = 2/1 = 2.
please help! will give brainliest
1. A. 2/3 of the volume of the rectangular prism crate = 5.7 ft³
B. Amount of space the dog will occupy is: 2.55 ft³. Josiah should buy the medium crate.
2. 21.05 ft²
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = (length)(width)(height).
1. Part A:
Length of the rectangular prism crate = 2.5 ft
Width = 1.7 ft
Height = 2 ft
Volume of the rectangular prism crate = (2.5)(1.7)(2)
Volume of the rectangular prism crate = 8.5 ft³
2/3 of the volume of the rectangular prism crate = 2/3(8.5) = 5.7 ft³
Part B:
Amount of space the dog will occupy = volume = (length)(width)(height).
Length = 2 ft
Height = 1 2/3 = 1.7 ft
Width = 3/4 = 0.75 ft
Amount of space the dog will occupy = volume = (2)(0.75)(1.7)
Amount of space the dog will occupy = volume = 2.55 ft³
The space the dog will occupy is less than 2/3 of the space of the crate, therefore, Josiah should buy the medium crate.
2. Amount of fabric needed to cover the crate = surface area of rectangular prism - (lw) = 2·(1.7·2.5+2·2.5+2·1.7) - (2.5)(1.7)
= 25.3 - 4.25
= 21.05 ft²
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How do i write the value of this underlined digit 2.439 and 1.987 and 6.175 0.618
The value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
As given in the question,
Given number = 2.439 , 1.987 , 6.175 , and 0.618
Value of underlined digit :
2.439 = Tenth or 4 / 10
1.987 = Thousandth or 7/1000
6.175 = Ones or 6
0.618 = Hundredth or 1/100
Therefore, the value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
The complete question is :
How do i write the value of this underlined digit 2.439 , 1.987 , 6.175 , and 0.618 ?
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True/False: Perimeter is the number of squares you can fit inside of any shape?
O True
O False
Graph the inequality 1
The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.
Graph of InequalitiesFrom the question, we are to graph the given inequality
The given inequality is
1 < y + 7x ≤ 12
First, we will separate the inequality
1 < y + 7x and y + 7x ≤ 12
1 < y + 7x
We will determine two points on the line
1 = y + 7x
When x = 0
1 = y + 7(0)
1 = y
y = 1
(0, 1)
When y = 8
1 = y + 7x
1 = 8 + 7x
1 -8 = 7x
-7 = 7x
x = -7/7
x = -1
(-1, 8)
We can use these two points to plot the line of 1 < y + 7x
Also,
We will determine two points on line y + 7x ≤ 12
y + 7x = 12
When x = 0
y + 7(0) = 12
y + 0 = 12
y = 12
(0, 12)
When y = 5
5 + 7x = 12
7x = 12 - 5
7x = 7
x = 7/7
x = 1
(1, 5)
We can use these two points to plot the line of y + 7x ≤ 12
The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.
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M/n=y/x for m what is the answer
Answer:
M = n(y/x)
Step-by-step explanation:
M/n = y/x
Multiply both sides by N to cancel it out.
M = n(y/x)
Durante un entrenamiento, un ciclista da una vuelta a una pista circular en 105 segundos, mientras que otro tarda 60 segundos. Si ambos inician sus recorridos juntos, ¿en cuántos segundos será la próxima vez que coincidan en el punto de inicio?
Los ciclistas se encuentran aproximadamente 140 segundos después de partir.
¿En cuanto tiempo se encuentran dos ciclistas que se mueve a distintas rapideces constantes por primera vez?
En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:
ω = 2π / T (1)
Donde:
ω - Rapidez angular, en radianes por segundo.T - Período, en segundos.A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:
x / R = cos ωt (2)
y / R = sin ωt (3)
Donde:
x, y - Coordenadas del ciclista.R - Radio de la pista circular.Primero, determinar la rapidez angular de cada ciclista:
ω₁ = 2π / 105 s
ω₁ ≈ 0.060 rad / s
ω₂ = 2π / 60 s
ω₂ ≈ 0.105 rad / s
Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).
Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.
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Shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. What percent increase in sales does this represent?
If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
Percentage increaseUsing this formula
Percentage increase= Percentage increase in share price / Initial percentage x 100%
Let plug in the formula
Percentage increase= 0.9% / 4.5% x 100%
Percentage increase=20%
Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
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PLss answer
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?
The table which represents the function g(x) is: answer option A.
x g(x)
1 -3
2 3
3 9
What is a function?In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.
This ultimately implies that, a function typically shows the relationship between input values and output values of a data set, as well as showing how the elements in a table are paired (mapped).
When x = 1, the function f(x) is given by:
f(x) = 2x − 3
f(1) = 2(1) − 3
f(1) = 2 - 3
f(1) = -1.
Therefore, the function g(x) = f(3x) = 3 × -1 = -3.
When x = 2, the function f(x) is given by:
f(x) = 2x − 3
f(2) = 2(2) − 3
f(2) = 4 - 3
f(2) = 1.
Therefore, the function g(x) = f(3x) = 3 × 1 = 3.
When x = 3, the function f(x) is given by:
f(x) = 2x − 3
f(3) = 2(3) − 3
f(3) = 6 - 3
f(3) = 3.
Therefore, the function g(x) = f(3x) = 3 × 3 = 9.
In conclusion, the table which represents the function g(x) is as follows:
x g(x)
1 -3
2 3
3 9
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Answer: A
Step-by-step explanation:
rxl ontop
HELP WITH EXPLANATION!!
Show that the function f(x) = x³ + 5/x. is even, odd, or neither.
Answer:
The function is odd.
Step-by-step explanation:
A function is always odd when f(−x) = −f(x). In this case, that rule applies.
[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]
PLEASEE HELP!! I WILL MARK BRAINLIEST!
Write the expression as a number in scientific notation. quantity 5 times 10 squared end quantity times quantity 4.2 times 10 to the fourth power end quantity all divided by quantity 6 times 10 cubed 3.5 x 103 3.5 x 105 3.2 x 103 3.2 x 105
The expression in scientific notation is given as follows:
3.5 x 10³.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
For this problem, the expression is given by:
[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}[/tex]
When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:
[tex]10^2 \times 10^4 = 10^6[/tex]
5 x 4.2 = 21, hence the expression is:
[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}[/tex]
When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:
[tex]\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3[/tex]
Which is the simplified expression.
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Solve the compound inequality 6b < 36 or 2b + 12 > 6
A. b < 6 or b > 6
B. b < 6 or b > 3
C. b > 6 or b < −3
D. b < 6 or b > −3
Answer:
D.)
Step-by-step explanation:
The sum of three consecutive even integers is 72 let ex represent the first integer X plus to represent the second integer and X +4 represent the third furniture which equation can be used to find the first energy
Answer:
see explanation
Step-by-step explanation:
the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is
x + x + 2 + x + 4 = 72 , that is
3x + 6 = 72 ( subtract 6 from both sides )
3x = 66 ( divide both sides by 3 )
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the 3 consecutive even integers are 22, 24 , 26
3-1¹-2
Convert 4 to an improper fraction?
000
12/4
4/13
4/12
13/4
Answer:
13/4
Step-by-step explanation:
_______________________________
Three blocks are shown:
Block A
7 cm
3 kg
1 cm
3 cm
Which statement is correct?
Block B
7 cm
4 kg
111 cm
3 cm
Block C
1 cm
2 kg
7 cm
3 cm
Answer:the answer is 4 kg
Step-by-step explanation:
i can¡ explane u i see the rpta
What’s the answer pls I need help
Answer:
C= [tex]\frac{AD}{B}[/tex]
Step-by-step explanation:
the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction
Round 7.487 to the nearest hundredth.
Answer: 7.49
Step-by-step explanation:
7 is above 5, so we round up from .48 to .49.
help pls! example is not needed
Answer: 401
Step-by-step explanation:
-177 + 578 = 401
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simplify so that your answer contains only positive exponents
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
First Question:
[tex]\text{Copy the equation}\\\hookrightarrow \frac{xy^4}{x^3y^2} \\\\\text{Exponents with common bases when dividing from each other}\\\hookrightarrow \text{the power of the denominator can be subtracted from the power of the numerator}\\ \text{ --- } \dfrac{xy^4}{x^3y^2} =\dfrac{x}{x^3}*\dfrac{y^4}{y^2}=x^{1-3}*y^{4-2}=x^{-2}*y^{2} =\dfrac{y^2}{x^2}[/tex]
Second Question:
[tex]\hookrightarrow\text{simply start from the most inner calculation before going out}[/tex]
[tex]\text{---}-(-x)^3= -1 *(-1 * x)^3=-1*(-1)^3*x^3=-1*-1*x^3=x^3[/tex]
Answer:
y² / x²x³Hope that helps!
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