The number to be multiplied by x to get the answer will be -12/5.
An algebraic expression may be defined as an equation which consists of variables and the arithmetic operations such as division, multiplication, addition and subtraction. It is given that Leah wants to divide x by a number which is -5/12. We know that an algebraic expression needs a variable so x divided by -5/12 can be written as
x ÷ -5/12
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution. The expression can be written as
x × -12/5 or we need to multiply -12/5 by x to find the answer.
Learn more about algebraic expression at:
brainly.com/question/28674581
#SPJ1
ASAP please Hurry
Solve these equations by expanding the brackets. Show that you have checked each solution by substituting it into the original equation.
a. 2(h + 1) = 6
b. 9(j + 5) = 8j – 5
c. 2(k – 3) = 4(k – 6)
Answer:
See below.
Step-by-step explanation:
a. 2(h + 1) = 6
2(h + 1) = 6
2h + 2 = 6
2h = 4
h = 2
Check: Does 2(h + 1) = 6 when h = 2?
2(2 + 1) = 6?
2(3) = 6?
6 = 6 YES
b. 9(j + 5) = 8j – 5
9(j + 5) = 8j – 5
9j + 45 = 8j - 5
j = -50
Check: Does 9(j + 5) = 8j – 5 when j = -50?
9(j + 5) = 8j – 5
9(-50 + 5) = 8(-50) – 5 ?
9(-50 + 5) = 8(-50) – 5 ?
-450 + 45 = -400 - 5 ?
-405 = -405 YES
c. 2(k – 3) = 4(k – 6)
2(k – 3) = 4(k – 6)
2k – 6 = 4k – 24
-2k = - 18
k = 9
Check: Does 2(k – 3) = 4(k – 6) when k = 9?
2(9 – 3) = 4(9 – 6) ?
18 – 6 = 36 –24 ?
12 = 12 YES
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. Use the constraints of the real-world situation to predict the height of the water balloon at 15 seconds. Use complete sentences to support your answer.
The linear model is represented as
A. An increasing lines goes up from left to right. This is shown from 0 to 2
B. A horizontal line would show the height remaining the same. This is shown from 2 to 3
C. The steeper the line the faster the decrease. This is shown from 3 to 4
D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.
What is Linear Model ?
A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.
Part A the balloons height is increasing when the line is going up
It is increasing between 0 and 2
0 ≤ t ≤ 2
Part B the balloons height remains the same when the line is flat
It is constant between 2 and 3
2 ≤ t ≤ 3
Part C the balloons height is decreasing when the line is going down
It is decreasing the fastest when the line is going down the quickly and that is between 3 and 4. The slope is (80-20)/(4-3)= 60/160. The larger the slope, the faster the height decreases.
3 ≤ t ≤ 4
Part D At 10 second the balloon will be on the ground. At 6 second the height is zero and remains at 0.
The linear model is represented as
A. An increasing lines goes up from left to right. This is shown from 0 to 2
B. A horizontal line would show the height remaining the same. This is shown from 2 to 3
C. The steeper the line the faster the decrease. This is shown from 3 to 4
D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.
To know more about linear model, visit :-
brainly.com/question/13496810
#SPJ1
HELP!!! I am totally lost please explain in depth! Today is the first day of second quarter and my teacher is already giving us a test!!!!
It is to be noted that the graph comprises two inherent traits:
The domain and the range. Each of these qualities helps the user interpret and analyze data.
The domain of a graph consists of all the input values represented on the x-axis since the domain refers to the set of potential input values. The range represents the set of potential output values, which are shown on the y-axis.
In mathematics, domain and range are significant because they allow us to determine the set of all possible values for a function. Understanding a function's domain and range allows us to identify its inverse, graph it, and solve issues involving the function.
To acquire the domain and range, just solve the equation y = f(x) to discover the values of the independent variable x. To compute the function's range, just define x as x=g(y) and then discover the domain of g. (y).
It is to be noted that the question contains very limited information hence the general answer.
Learn more about Domain:
https://brainly.com/question/26098895
#SPJ1
What is the product of 3.2 x 0.3?
Answer:
0.96
Step-by-step explananation
stack the two numbers ontop of each other and it will be easier to do the multiplacation
Pls help ASAP
The question is in the picture
Answer:
x = 2, x = 5, c = 3, c = 7, t = 4, t = -4
Step-by-step explanation:
x^2 - 7x + 10 = (x-2)(x-5) = 0
c^2 - 10c + 21 = (c-3)(c-7) = 0
t^2 - 16 = (t-4)(t+4) = 0
If a1= 7 and an= -4an-1 + 5 then find the value of a4.
Given that
[tex]\begin{gathered} a_1=7 \\ a_{_{}n}=-4a_{n-1_{}}+5 \end{gathered}[/tex]Hence,
[tex]\begin{gathered} a_2=-4a_1+5 \\ =-4(7)+5 \\ -28+5=-23 \end{gathered}[/tex]Similarly,
[tex]\begin{gathered} a_3=-4a_2+5 \\ a_3=-4(-23)+5 \\ =92+5=97 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} a_4=-4a_3+5 \\ a_4=-4(97)+5 \\ =-388+5 \\ =-383 \\ \\ a_4=-383 \end{gathered}[/tex]Factor −6x2 + 18x.
6x(−x + 3)
−6x(x + 3)
x(6x + 18)
6(−x2 + 18x)
The factored expression of the expression given as -6x² + 18x is -6x(x - 3)
How to factor the expression completely?The expression is given as
-6x² + 18x
Group the expression in 2's
So, we have
-6x² + 18x= (-6x² + 18x)
Factor each group
So, we have
-6x² + 18x= x(-6x + 18)
Rewrite as
-6x² + 18x= -6x(x - 3)
Hence, the factored expression is -6x² + 18x= -6x(x - 3)
Read more about expressions at
brainly.com/question/723406
#SPJ1
When rolling a die (number cube), what is the probability of rolling a 2 or a 3? A.1/6. B.2/3. C.1/3. D.1/2. E.5/6
total possible outcomes: 6
number of outcomes with a 2 or a 3: 2
probability of rolling a 2 or a 3: 2/6 = 1/3
use long division to solve 514/28.
The division for 514 / 28 is 18 remainder 10.
What is division?Long Division is a method for dividing large numbers, that breaks the division problem into multiple steps
Step 1: Here, the digits to first use is 51. This means 51 divided by 28 will give 1.
Step 2: Subtract 28 from 51 and this is 23. Bring the third digit of the dividend down and place it beside 23. This will be 234.
Step 3: Now, 234 divided by 28 will be 18.
Step 4: Multiply 18 by 28 and subtract the value. The remainder will be 10.
Learn more about division on:
https://brainly.com/question/25289437
#SPJ1
The weight of an ant averages about 3×10−6 kg. There are about 1×1016 ants in the world. What is the approximate weight in kilograms of all the ants in the world? Write the answer in scientific notation.(1 point)
The approximate weight of all the ants in the worlds in scientific notation is 3×10¹⁰ kg .
Values that are either too large or too little to be conveniently stated in decimal form can be indicated using scientific notation (typically would result in a long string of digits).
It also goes by the names standard form, scientific form, and standard index form in the UK.This base ten notation is widely used by scientists, mathematicians, and engineers since it may make a variety of mathematical procedures simpler.Non-zero numbers are represented scientifically by the notation m 10n, or m multiplied by ten and raised to the power of n, where n is an integer and m is a non-zero real number.Weight of 1 ant = 3×10⁻⁶ kg
number of ants = 1×10¹⁶
Total weight = 3×10⁻⁶ × 1×10¹⁶ = 3×10¹⁰ kg
Therefore the weight of all the ants in the world is approximately
3×10¹⁰ kg
To learn more about scientific notation visit:
brainly.com/question/18073768
#SPJ1
Very ez 7th grade math
Answer 23-24! thanks!!
15 points!!
To remove a common factor and transform a polynomial into the union of two polynomials:According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
what is common factor and distributive property?
To remove a common factor and transform a polynomial into the union of two polynomials: Discover the most prevalent factor that is a whole number (no variables). Put the product of dividing all polynomial terms by that factor in parenthesis. The factor should be written without parentheses.
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.
To learn more about common factor refer to:
https://brainly.com/question/219464
#SPJ13
Create an equation to solve for x, b) then solve for x.
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to create an equation for x, and to solve it.}[/tex]
[tex]\textsf{There's an infinite amount of equations that we can create, but let's keep it simple.}[/tex]
[tex]\large\underline{\textsf{Example:}}[/tex]
[tex]\mathtt{9x+5x= 70}[/tex]
[tex]\textsf{Let's begin solving for x since we've just created an equation.}[/tex]
[tex]\large\underline{\textsf{Solving:}}[/tex]
[tex]\textsf{This equation involves combining like terms.}[/tex]
[tex]\Large\underline{\textsf{What are Like Terms?}}[/tex]
[tex]\textsf{Like terms are 2 or more terms that have similar \underline{whole numbers, variables, and/or exponents}.}[/tex]
[tex]\textsf{For this specific equation, 9x and 5x are like terms.}[/tex]
[tex]\large\underline{\textsf{Combine Like Terms:}}[/tex]
[tex]\mathtt{9x+5x= 70}[/tex]
[tex]\mathtt{14x= 70}[/tex]
[tex]\large\underline{\textsf{Divide by 5 to find x:}}[/tex]
[tex]\mathtt{\frac{14x}{14}=\frac{70}{14} }[/tex]
[tex]\large\boxed{\mathtt{x=5}}[/tex]
Solve the equation -4.8 = 0.5(p + 6.5). Show your work.
Answer:
p= -16.1
Step-by-step explanation:
-4.8=0.5(p+6.5)
first you want to multiply 0.5 by p and 6.5.
-4.8=0.5(p)+0.5(6.5)
then solve it:
-4.8=0.5p+3.25
next you want to isolate p so you'd subtract 3.25 on both sides so:
(-4.8-3.25)=0.5p+(3.25-3.25)
solve:
-8.05=0.5p
lastly, divide 0.5 on both sides:
-16.1=p or p= -16.1
hope this helps :)
what is negative 81 plus 97
Answer:
16
Step-by-step explanation:
9^-1/2 = 27^1/4 divided by 3^x+1
Could somebody please provide the steps with this? And preferably as soon as possible!
The value of x is 3. The order in which you perform operations in arithmetic and algebra is governed by a number of laws.
What is algebra?One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra. The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers.Given,
[tex]$9^{-1 / 2}=27^{1 / 4} \div 3^{x+1}$[/tex]
[tex]${\left[3^2\right]^{-1 / 2}=\left[(3)^4\right]^{1 / 4} \div 3^{x+1} }$[/tex]
[tex]$3^{-1}=3 \div 3^{x+1}$[/tex]
[tex]$3^{-1}=\frac{3}{3^{x+1}}$[/tex]
[tex]$3^{-1}=3^{1-x+1}$[/tex]
[tex]$3^{-1}=3^{2-x}$[/tex]
On comparing we get,
-1=2-x
x= 3
Hence, the value of x is 3.
To learn more about algebra refer to:
https://brainly.com/question/22399890
#SPJ9
Simplify √32x³ +2√18x²
Answer:
Your answer is [tex]4\sqrt{2x} \sqrt{x} +6\sqrt{2x}[/tex]
Step-by-step explanation:
(attached)
If a = −1, b = −2, and c = 3, what is the value of a − bc?
Answer:
5
Step-by-step explanation:
Plug in the number for it's letters in the equation
-1 - (-2 · 3)
-1 - (-6)
-1 + 6
5
a pack of 4 chocolates is £1.20
what is the price per unit
Answer:
The price per unit of chocolate bars is £0.3.
Step-by-step explanation:
The cost of 4 chocolates bars is £1.20.
The cost of 1 chocolate bars is [tex]\frac{1.20}{4}[/tex]
The cost of 1 chocolate bars is £0.3.
Answer: $4.80 (us dollars)
Step-by-step explanation:
z? + y2 – 2x + 16y + 61 = 0Center:Radius:Submit Answer
we can calculate the center and radious using this form of the equation of the circle
[tex]x^2+y^2+Dx+Ey+F=0[/tex]Where D is -2, E is 16 and F is 61
Center is
[tex](a,b)[/tex]where a is
[tex]\begin{gathered} a=-\frac{D}{2} \\ \\ a=-\frac{-2}{2} \\ \\ a=1 \end{gathered}[/tex]and b is
[tex]\begin{gathered} b=-\frac{E}{2} \\ \\ b=-\frac{16}{2} \\ \\ b=-8 \end{gathered}[/tex][tex]C(1,-8)[/tex]Radious
[tex]\begin{gathered} r=\sqrt[]{a^2+b^2-F} \\ \\ r=\sqrt[]{1^2+(-8)^2-61} \\ \\ r=\sqrt[]{1+64-61} \\ \\ r=\sqrt[]{4}=2 \end{gathered}[/tex]radious is 2 units
Answer as soon as you can please and thank you.
Answer:
b < -21
Step-by-step explanation:
1/3b + 1 < -6
1/3b < -7
b < -21
What is the result of 5.45×100
Answer:
545
Step-by-step explanation:
the next day, the temperature of the mixture in the example rises by another 7.2 C. what is the new temperature?
18/23 as a decimal rounded to the nearest hundredth
The result of multiplying 18 by 23 is 0.782608696. however, you would write 0.78 if you rounded your response to the nearest hundredth.
First things first, let's review the numerator and denominator of a fraction in case you don't know what they are:
18 (fraction)/23 (denominator)
The denominator, or a number of components, is represented by the numerator.
You can use the following trick to quickly change any fraction to a decimal: Subtract the numerator from the denominator as follows:
= 18/23
= 18 ÷ 23
= 0.78260869565217
You only need to divide 18 by 23. Since the hundredth is to the second decimal place, it is equal to 0.78260869565, which is 0.78 when rounded to the closest hundredth.
To learn more about decimal
https://brainly.com/question/548650
#SPJ1
A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62. 9%. What is the probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief?.
Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79
P = 62.4%
The sample proportion p = 58.1% of 400 = 232.4
This implies that 232 person of 400 headache sufferes obtain relief with just two asprins
n = 400
np = 400 x 62.4% = 249.6
n(1 - p) = 400 x (1 - 62.4%) = 150.4
The sample proportion p is assumed to follow a normal distribution.
The mean of the sample proportion μ' = p = 0.624
The standard error of the sample proportion
σ' [tex]\sqrt{\frac{p(1 - p)}{n} }\\ \sqrt{\frac{0.624(1 - 0.624)}{400} }\\\\= 0.0240\\[/tex]
Standardize 0.581 to a Z score
P(p'< 0.581) = P(Z>(0.581-0.624)/0.024) = -1.791
Probability that in a random sample of 400 headache sufferers, less than 58. 1% obtain relief has a Z score -1.79
To learn more about Z-score refer here
https://brainly.com/question/25638875
#SPJ4
HELP HELP HELP HELP HELP A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance to the length and width. Write and solve an equation to find the value of
i just need the wquation really i know that x is ten
The new length is 35+10=45 and the new width is 18+10=28.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.
Area of rectangle is length times of breadth.
Area of Rectangle=Length × Width
=35×18
=630
The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.
(35+x)×(18+x)=1260
630+35x+18x+x²=1260
x²+53x+630-1260=0
x²+53x-630
Now use the quadratic formula we get
x = 10.
The new length is 35+10 = 45
The new width is 18+10 = 28.
Hence the new length is 35+10 = 45 and the new width is 18+10=28.
To learn more on Area of rectangle click:
brainly.com/question/20693059
#SPJ2
Solve for L:P = 2L + 2W-OL=P - WOL=-P + 2W2OL=P - wOL = P - W
Given:
[tex]P=2L+2W[/tex]Required:
We need to solve for L.
Explanation:
Consider the given equation.
[tex]P=2L+2W[/tex]Subtract 2W from both sides.
[tex]P-2W=2L+2W-2W[/tex][tex]P-2W=2L[/tex]Divide both sides by 2.
[tex]\frac{P-2W}{2}=\frac{2L}{2}[/tex][tex]\frac{P-2W}{2}=L[/tex][tex]\frac{P}{2}-\frac{2W}{2}=L[/tex][tex]\frac{P}{2}-W=L[/tex]Final answer:
[tex]L=\frac{1}{2}P-W[/tex]If tim is 6 feet tall and he casts a shadow 8 feet long, then how tall is a building whose shadow is 248 feet long at the same time of day?.
The length of the given building is equal to 186ft
What is the Length of the BuildingTo calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.
The ratio of the height to the shadow is 6:8
Or we can simply set it out as an equation, cross multiply and solve.
[tex]height = shadow length[/tex]
Let's use this system to solve
[tex]height = shadow length\\6ft = 8ft\\x = 248\\[/tex]
We can cross multiply here and solve for x
[tex]x = \frac{6 * 248}{8}\\x = 186ft[/tex]
The height of the building is 186ft
Learn more on ratio here;
https://brainly.com/question/2328454
#SPJ1
Answer the following
Part a: Inverse of the function- g⁻¹(x) = 3 - 7x.
Part b: Composite function, (g⁻¹o g)(3) = -18.
Part c: The value of h⁻¹(9) = 0.
What is meant as the one-to-one function?A one to one function is a function that maps each element of the range to precisely one element of its domain, ensuring that the outputs never repeat. A normal function can accept two different input values and return the same result, while a one to one function cannot.Part a: Inverse of the function- g⁻¹(x).
For the given question.
The one-to-one function is given as;
g(x) = (-x + 3)/7
As, it is one-to-one function, its inverse is possible.
Let y = g(x) = (-x + 3)/7
Write function in terms of y.
7y = -x + 3
x = 3 - 7y
Now, replace y with x in the function.
g⁻¹(x) = 3 - 7x
Part b: Composite function, (g⁻¹o g)(3)
First find the composite value of g(3).
g(x) = (-x + 3)/7
Put x = 3
g(3) = (-3 + 3)/7 = 0
Now, put the value of g(3) in g⁻¹(x).
(g⁻¹o g)(3) = 3 - 7x
(g⁻¹o g)(3) = 3 - 7×3
(g⁻¹o g)(3) = -18
Part c: The value of h⁻¹(9).
Check the domain and ranges given for the 'h' function.
h⁻¹(9) has the domain of 0
Thus, h⁻¹(9) = 0.
Thus, the values for the one-to-one function are found.
To know more about the one-to-one function, here
https://brainly.com/question/27997206
#SPJ13
the tire pictured below has a radius of 14 inches
To determine the distance rolled by the tire in 24 revolutions, use the following formula:
[tex]s=r\theta[/tex]where r is the radius (14 in) and θ the degrees of the revolutions. Consider each revoutions represents 180 degrees or 2π radians, the, 24 revolutions are 24x2π = 48π.
Replace the values of r and θ into the formula for s:
[tex]s=(14in)(48)(3.14)=2,110.08in\approx2,110in[/tex]Hence, the tire rolls 2,110 in
Answer:
B
Step-by-step explanation:
Circumference = pi * d = 28 pi inches
twenty four of these is 24 * 28 pi inches = 2111.15 in = 175.9 ft
Can you solve this problem I need help
The slope or gradient of the line is 0.15 .
The slope or gradient of a line in mathematics is a numerical expression of the steepness and direction of the line.
The explanation for this usage, which may formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively, is unknown. The letter m is frequently used to denote slope. Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio ("rise over run") form of the ratio yields the same result for all.We know that slope can be calculated by the change in the height by the change in the length.
1 mile = 5280 feet
therefore 4.9 miles = 25872
Therefore slope = 4000/25872 = 0.1546...≈ 0.15
Hence the slope or gradient of the line is 0.15 .
To learn more about slope visit:
https://brainly.com/question/2491620
#SPJ1
