Answer: 2
Step-by-step explanation:
So first combine like terms, -4x-6x= -10x. Then to isolate x by itself, divide both sides by -10 and get 2=x.
Answer:
x=2
Step-by-step explanation:
-20=-4x-6x
In this kind of question, ensure that you collect like terms especially when they are scattered that is not well arranged...
But the question given is straight forward so there is no need to collect like terms...but to solve directly,
-20=-4x-6x
-20=-10x
Divide both sides by -10
x=2
Scientists put marks on 30 mooses as part of an effort to estimate the local most population greater the scientist Flew Over the area and counted a total of 210 most of which 10 remark to the nearest whole number what is the best estimate for the moose population.
A. 70
B. 630
C. 159
D. 357
Answer: It is D.
Step-by-step explanation: I have taken this quiz before!
Please give me brianliest
Answer:
Step-by-step explanation:
720
15(x-3) over 5 = 3(2x-3)
What is X?
Answer:
x=0
Step-by-step explanation:
Answer: x= infinite solutions
there are infinite solutions and when graphing it shows you that they are together they are infinte solutions
Step-by-step explanation:
15(x-3)/5=3(2x-3)
15(x-3)/5=6x-9
*5 *5
15(x-3)=30x-45
15x-45=30x-45
-15x -15x
-45=15x-45+45
+45
0=15x
0/15=x
0=x
The line 2y - x + 5 = 0 and the curve (10 – x)^2+ (y – 5)^ 2= 10 intersect at points A and B.
Find the coordinates of A and of B.
Answer:
A(9, 2 ), B(13, 4 )
Step-by-step explanation:
Given the 2 equations
2y - x + 5 = 0 → (1)
(10 - x)² + (y - 5)² = 10 → (2)
Rearrange (1) expressing x in terms of y by adding x to both sides
x = 2y + 5 → (3)
Substitute x = 2y + 5 into (2)
(10 - (2y + 5))² + (y - 5)² = 10, that is
(10 - 2y - 5)² + (y - 5)² = 10
(5 - 2y)² + (y - 5)² = 10 ← expand the factors using FOIL
25 - 20y + 4y² + y² - 10y + 25 = 10
5y² - 30y + 50 = 10 ( subtract 10 from both sides )
5y² - 30y + 40 = 0 ( divide through by 5 )
y² - 6y + 8 = 0 ← in standard form
(y - 2)(y - 4) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 2 : x = 2(2) + 5 = 4 + 5 = 9 ⇒ (9, 2 )
y = 4 : x = 2(4) + 5 = 8 + 5 = 13 ⇒ (13, 4 )
Since we are not given the position of A or B in relation to each other then either of the points can represent A or B, that is
A(9, 2), B(13, 4)
OR
A(13, 4), B(9, 2)
Which is equivalent to (x + 12)(x - 12)?
x + 24x - 144
x² -144
x + 144
x- 24x - 144
Option 2 is the correct option
Step-by-step explanation:
Step 1 :
Given expression : (x + 12)(x - 12)
We need to find the expression from the given options which matches the given expression
Step 2 :
The given expression is of the form (a+b)(a-b)
where a = x and b = 12 here
The product of this is given by formula
(a+b)(a-b) = (a² - b²)
Substituting the value of a and b in formula we get
(x + 12)(x - 12) = x² - 12² = x² - 144
Hence option 2 is the correct option from the given list.
Step 3 :
Answer :
Option 2 is the option which matches the given expression
Answer:
144 and -144
Step-by-step explanation:
just did it
Translate the phrase into an algebraic expression. The sum of 17 and twice a number
Let's make "x" the number.
So the sum of 17 and twice a number:
17 + 2 * a number
17 + 2 * x
17 + 2x
The value of algebraic expression is,
⇒ 2x + 17
Where, x is a number.
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.
We have to given that;
The phrase is,
'' The sum of 17 and twice a number.''
Now, Let a number = x
So, We can formulate;
The algebraic expression is,
⇒ 17 + 2 × x
⇒ 17 + 2x
⇒ 2x + 17
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PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
The equations for the regular cost is [tex]y=18.50 x[/tex] and
The equation for the party special is [tex]y=15 x+28[/tex],
where y is the total cost in dollars and x is the number of students in the group.
Step-by-step explanation:
Step 1:
The regular cost per person is $18.50 per person.
So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.
So the equation is [tex]y=18.50 x[/tex].
If x = 5, [tex]y=18.50(5)[/tex] = $92.50,
If x = 10, [tex]y=18.50(10)[/tex] = $185.00.
Step 2:
The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.
So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.
So the equation is [tex]y=15 x+28[/tex].
If x = 5, [tex]y=15 (5)+28[/tex] = $103.00
If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t
models the lizard's height in feet above the water t seconds after he jumps. How long
after Jumping is he back on the water?
To find the time when the lizard is back on the water, set the height equation equal to zero and solve for t. The lizard is back on the water 1/2 second after jumping.
Explanation:To find the time when the lizard is back on the water, we need to set the height, h, equal to zero, and solve for t in the given equation, h = -12t^2 + 6t.
Substitute 0 for h:
0 = -12t^2 + 6t
Now we can solve for t. Rearrange the equation to quadratic form:
12t^2 - 6t = 0
Factor out a common factor of 6t:
6t(2t - 1) = 0
Set each factor equal to zero:
t = 0 or 2t - 1 = 0
If t = 0, it means the lizard is on the water at the time it jumps. Therefore, t = 0 is not the solution we're looking for. If 2t - 1 = 0, solving for t:
2t = 1
t = 1/2
Therefore, the lizard is back on the water 1/2 second after jumping.
Eric needs to order programs for the next school football game. Only 1 out of 2 people will buy a program for the game. If there will be 900 people at the game and programs come in boxes of 50, how many boxes of programs should Eric order?
Answer:
Eric should order 9 boxes of programs.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of buying a program for the game = 1/2
Number of people at the game = 900
Number of programs per box = 50
2. How many boxes of programs should Eric order?
Let's calculate the answer this way:
Number of programs required for the next football game = Probability of buying a program for the game * Number of people at the game
Replacing with the values given, we have:
Number of programs required for the next football game = 1/2 * 900
Number of programs required for the next football game = 450
Now, we can calculate he number of boxes, this way:
Number of boxes of programs Eric should order = Number of programs required for the next football game /Number of programs per box
Replacing with the values given, we have:
Number of boxes of programs Eric should order = 450/50
Number of boxes of programs Eric should order = 9
The length of a rectangular piece of sheet metal is 3 times it’s width. What is its length if it’s area is 192 square centimeters
To find the missing number, you will need to divide the numbers you already have.
192 divided by 3 = 64
Your answer/length will be 64.
Area = 192
Width = 3
Length = 64
64 x 3 = 192
Hope this helps :)
To determine the length of the rectangular piece of sheet metal with an area of 192 square centimeters and a given length-to-width ratio, solve for the width using the area formula, then use the ratio to find the length. The calculated length is 24 centimeters.
The problem involves finding the length of a rectangle given the area and the relationship between the length and width. Let's denote the width of the rectangle as w and the length as L. We are given that L = 3w and the area (A) of the rectangle is 192 square centimeters. The area of a rectangle is calculated by multiplying its length and width.
A = L x w
Substituting L from the given relationship into the area equation:
192 cm² = (3w) x w
Now we can solve for w:
192 cm² = 3w²
w² = 192 cm² / 3
w² = 64 cm²
w = 8 cm
Now, use the value of w to find L:
L = 3 x 8 cm
L = 24 cm
Therefore, the length of the rectangular piece of sheet metal is 24 centimeters.
Out of the 1236 employees who work for a particular company, 748 of them work in an office. One employee is selected every month to receive a free
lunch. The probability that the selected employee does not work in an office is
Answer:
458
Step-by-step explanation:
Final answer:
The probability that the selected employee does not work in an office is calculated by dividing the number of employees not working in an office (488) by the total number of employees (1236), resulting in a probability of approximately 0.395.
Explanation:
The question asks for the probability that the selected employee does not work in an office from a total of 1236 employees, where 748 work in an office. To find this, we first need to determine the number of employees who do not work in an office.
Employees not working in an office = Total employees - Employees working in an office
= 1236 - 748 = 488
Now, the probability of selecting an employee who does not work in an office is calculated by dividing the number of employees not working in an office by the total number of employees:
Probability = Number of employees not working in an office / Total number of employees
Probability = 488 / 1236
Therefore, the probability that the selected employee does not work in an office is approximately 0.395.
Solve for n.
4 x n= 21.6
Answer:
n = 5.4
Step-by-step explanation:
Equation: 4n = 21.6
To solve this equation for n, divide both sides by 4 to get n by itself.
Step 1: Divide both sides by 4
4 * n / 4 = 21.6 / 4
n = 5.4
Answer: n = 5.4
[tex]\large\text{Hey there!}[/tex]
[tex]\mathsf{4n=21.6}\\\mathsf{\bf{DIVIDE}}\mathsf{\ both\ sides\ by\ 4}\\\mathsf{\dfrac{4n}{4}=\dfrac{21.6}{4}}\\\mathsf{Cancel\ out: \dfrac{4n}{4}\ because\ it\ equals\ to\ 1}\\\mathsf{Keep: \dfrac{21.6}{6}\ because\ it\ gives\ you\ the\ value\ of\ your\ n}\\\mathsf{\dfrac{21.6}{4}=21.6\div4\rightarrow5.4}\\\\\\\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\underline{\underline{n =5.4}}}}}}}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
!!!!!!!!!!!Help please!!!!!!!!!!!!!!!
Answer:
Option D
Step-by-step explanation:
A radical equation has only a radical itself, with an additional multiplier.
Answer:
7√x=14
Step-by-step explanation:
solve the equation 14z=224
Step-by-step explanation:
[tex]14z = 224[/tex]
To solve for [tex]z[/tex] in this equation, we need to isolate [tex]z[/tex] by itself on one side of the equation.
To do this, we need to get rid of the [tex]14[/tex] that is being multiplied by the [tex]z[/tex] on the left-hand side of the equation. This can be done by dividing both sides by [tex]14[/tex]:
[tex]14z = 224[/tex]
[tex]\frac{14z}{14} = \frac{224}{14}[/tex]
[tex]z = 16[/tex]
Therefore, the solution to the equation is [tex]z = 16[/tex].
Answer:
Step-by-step explanation:
14z = 224
divide both sides by 14
[tex]z=\frac{224}{14}\\\\z=16[/tex]
Four families are planning to make a joint purchase at a warehouse club in order to purchase no more than 15 pounds of potatoes for each family how many potatoes should they buy?
Answer:
x < 15.
Step-by-step explanation:
Solving Inequalities Word Problems
Let X is the total pounds of potatoes that four families should buy
To purchase no more than 15, so they should buy 0< x < 15
Because four families are planning to make a joint purchase and we dont know their specific proportion so we take x as the number on be haft.
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies?
Answer:
1. 10 singles. 2. One package of 6 and 4 singles. 3. One package of 6 and one package of 4. 4. Two packages of 4 and 2 singles 5. One package of 4 and 6 singles.
Step-by-step explanation:
There are 5 ways in which 10 cookies can be sold in singly or in packages of 4 or 6.
Given that,
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Ways in which exactly 10 cookies can be sold,
= {10 cookies singly, pack of 4 cookies and 6 cookies singly, pack of 4 and pack of 6, 4 cookies singly and a pack of 6 and 2 pack of 4 and two cookies singly,}
= 5 ways
Thus, there are 5 ways in which 10 cookies can be sold in single or in packages of 4 or 6.
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please help as soon as possible
Answer:
B
Step-by-step explanation:
15 more than A
A is the original answer so it should be the first digit.
The question asks "15 more" so it should be after the A
A+15
Simplify the expression.
7(6x – 4) + 1
1. Distribute the 7 through the parentheses.
2. Combine like terms.
What is the expression in its simplest form?
42x – 28 + 7
42x – 3
42x – 28 + 1
42x – 27
Answer:
42x-27
Step-by-step explanation:
7(6x-4)+1 is your original expression. Distribute to get 42x - 28 + 1. Combine like terms and add 1 to -28, which is -27. So, 42x-27 is your answer.
The value of the expression is 9/16 and the expression in its simplest form is 42x-27
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 7(6x – 4) + 1
We need to simplify it.
In the given expression x is the variable
Plus and minus are operators of addition and subtraction.
7(6x – 4) + 1
Distribute the 7 through the parentheses.
42x-28+1
Add the like terms
42x-27
The expression in its simplest form is 42x-27
42x=27
Divide both sides by 42
x=27/42=9/16
Hence, the value of the expression is 9/16 and the expression in its simplest form is 42x-27
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What is the measure of arc HI?
Answer:
D. 62˚
Step-by-step explanation:
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete
the table using the inverse variation relationship.
Visible Light
Wavelength (m)
Frequency (THz)
Blue
450
301,500
Green
520
580
Yellow
540
302,400
Red
635
304,800
480
a=
b = 301,
c=_
DONE
Answer:
A=670
B=301,600
C=560
Step-by-step explanation:
A is K divided by the wavelength (m) 301,500 / 450
B is wavelength(m) multiplied by the Frequency (Thz) 520x580
C is K divided by the Frenquency (Thz) 302400 / 540
The value of a is 670, b is 301,600, and c is 560.
What is Inverse Variation?When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.
The table consists of data of wavelength, frequency and k, the product of wavelength and frequency.
The missing values of a, b, and c has to be determined.
The wavelength is in inverse relation to frequency, on increasing the wavelength, the frequency decreases.
Wavelength ∝ ( 1 / frequency)
Wavelength * Frequency = k
For determining a,
450 * a = 301500
a = 301500/450 = 670
a = 670
For determining b,
520 * 580 = b
b = 301600
For determining c,
c * 540 = 302400
c = 302400 / 540
c = 560
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jamie’s mother is making a quilt. the block shown below is made from a series of similar triangles
Answer:
but what is the actual answer?
Step-by-step explanation:
Which is a unit of length in the metric system?
inches
feet
meters
yards
Answer: meters
Step-by-step explanation:
In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.
I hope this helps
Answer: METERS AKA C
Step-by-step explanation:
A wooden bean 6 meters long leans against a wall and makes an angle 71 degrees with the ground. How high up the wall, to the nearest meter, does the beam reach?
Trigonometry
Answer:
The far of reaching the wall
24 71
=69.70106106ft
Step-by-step explanation:
The wooden beam reaches a height of 6 meters on the wall.
Explanation:To find the height of the beam on the wall, we can use trigonometry.
The given angle is 71 degrees and the length of the beam is 6 meters.
We can use the sine function to find the height. The formula is: height = length * sin(angle).
height = 6 * sin(71)
Using a calculator, we find that the height is approximately 5.753 meters.
Rounding to the nearest meter, the beam reaches a height of 6 meters on the wall.
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What is the velocity of a wave with a frequency of 4.0 Hz and a wavelength of 0.50 m/wave?
Answer:
v=fa
Step-by-step explanation:
(4)(.5)=2
v=2
Braden's Sports sells golf tees in packs of 2. Meanwhile, Wayne's Gear sells them in packs of
6. If both shops sold the same number of golf tees this week, what is the smallest number of
tees each could have sold?
Answer:
6
Step-by-step explanation:
The LCM of 2 and 6 is 6. I hope this helps
. A square window has a perimeter of 60 inches.
What is the area of the window?
Answer:
225 in squared
Step-by-step explanation:
since a square has 4 equal sides you do 60/4 which is 15
then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225
Answer:
225 sq . inch
Step-by-step explanation:
A cone with a height of 14 feet has a volume of 405.63 cubic feet
Answer:
R=5.26
Step-by-step explanation:
Identify the Domain and Range of the graph below:
PLEASE HELP I WILL GIVE BRAINLIST!
Answer:
-2.5<x<2.5
Step-by-step explanation:
How do you find an outlier mathematically?
You use these formulas:
Q1 - 1.5(IQR)
Q3 + 1.5(IQR)
If any numbers fall outside the range of the solutions to the above equations, then they're an outlier.
You move down 3 units and right 6 units. You end at (4, -5). Where did you start?
(-2, -2)
Step-by-step explanation:
In this problem, you only know the coordinates of the final point and the distance moved in order to get there (which was moving 3 units down and 6 units to the right). If you want to find the starting point, you simply have to go backwards by subtracting 3 from -5 because the y coordinates move upwards/downwards, and then subtracting 6 from 4 because the x coordinates go left/right in order to get your final answer, (-2, -2).
The sequence of movements can be reversed to find the initial position, which is (-2, -2).
To determine the starting point, we can reverse the given movements: moving down 3 units and right 6 units from the final position (4, -5). If we move 3 units up from the final y-coordinate (-5), we get -5 + 3 = -2.
Similarly, if we move 6 units left from the final x-coordinate (4), we get 4 - 6 = -2. Therefore, the starting point is (-2, -2).
To visualize this, imagine a coordinate plane where moving down represents decreasing the y-coordinate and moving right represents increasing the x-coordinate.
Starting at (-2, -2), moving down 3 units brings us to (-2, -5), and then moving right 6 units from there leads us to the final position (4, -5).
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A triangle has an area of 80 yd² and a height of 10 yd. How long is the base of the triangle?
Plz help this is my unit test
Answer:
16 yd. is the answer. Good luck with the test.
Step-by-step explanation:
A=b×h÷2
80=10×y÷2
160=10×y
16=y
16 yd.
Answer:
he base length of triangle = 16 yd
Explanation:
he base length of triangle = 16 yd
Step-by-step explanation:
Formula:-
Area of triangle
area A = bh/2
b - base of triangle
h - height of triangle
To find the area of triangle
It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.
here, b = ?, A = 80 yd^2 and h = 10 yd
A = bh/2
80 = (b*10)/2
5b = 80
b = 80/5 = 16
Therefore the base length of triangle = 16 yd