This inequality can be simplified.
~Divide -1 to both sides (flip the symbol since we're dividing a negative number)
-m/-1 < 15/-1
m < -15
Best of Luck!
Answer:
m < -15
Step-by-step explanation:
Step 1: Multiply both sides by -1
-m > 15
-m * -1 > 15 * -1
Since you multiply by a negative, you must flip the sign
-m * -1 > 15 * -1
m < -15
Answer: m < -15
A cone with a height of 14 feet has a volume of 405.63 cubic feet
Answer:
R=5.26
Step-by-step explanation:
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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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]
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
What is the measure of it
Answer:My guess is 185
Step-by-step explanation:
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.
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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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]
Consider the equation x=-2y+7 what is the x-intercept
Answer:
7
Step-by-step explanation:
The x-intercept is the x-value when y=0, so we plug in y=0,
x=-2(0)+7
x=0+7
x=7
So the x-intercept is 7
Answer:
X intercept is 7
Step-by-step explanation:
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.
!!!!!!!!!!!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:
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
What is the value of d?
Answer:
d=5
Step-by-step explanation:
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
9(2x + 10) = 2(9x+ 45)
Answer:
infinitely many solutions
Step-by-step explanation:
1) distribute 9 to each term inside parenthesis on left side of equation
18x+90=2(9x+45)
2)now distribute 2
18x+90=18x+90
these equations are exactly the same! this means that this equation has infinitely many solutions
Hope this helps!
Answer:
infinite solutions
Step-by-step explanation:
9(2x + 10) = 2(9x+ 45)
Distribute
18x+90 = 18x +90
Subtract 18x from each side
18x-18x+90 = 18x-18x+90
90=90
Since this is always true, the equation has infinite solutions.
X can be any number
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.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of the complex figure.
Not drawn to scale.
Answer:
1863 [tex]meters^{2}[/tex]
Step-by-step explanation:
( 23 x 12 ) x 2 = 552
69 x 19 = 1311
1311
+552
= 1863 [tex]meters^{2}[/tex]
The area of the complex figure is 1,863 square meters
To find the area of the complex figure, break it down into individual rectangles and then sum up their areas. The complex figure consists of two smaller rectangles and one larger rectangle.
For the first two rectangles:
- Length = 23 m
- Width = 12 m
The area of each of the first two rectangles is:
Area = Length × Width = 23 m × 12 m = 276 square meters
Now, for the larger rectangle:
- Length = 69 m
- Width = 19 m
The area of the larger rectangle is:
Area = Length × Width = 69 m × 19 m = 1,311 square meters
To find the total area of the complex figure, sum up the areas of the three rectangles:
Total Area = Area of the first two rectangles + Area of the larger rectangle
Total Area = (276 square meters + 276 square meters) + 1,311 square meters
Total Area = 552 square meters + 1,311 square meters
Total Area = 1,863 square meters
So, the area of the complex figure is 1,863 square meters. This approach demonstrates how to find the area by breaking down the complex figure into simpler shapes and summing their individual areas.
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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:
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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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.
Absolute value equation |x-3|=5
Answer:
x = - 2, x = 8
Step-by-step explanation:
The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus
x - 3 = 5 OR - (x - 3) = 5
Solving both equations
x - 3 = 5 ( add 3 to both sides )
x = 8
OR
- x + 3 = 5 ( subtract 3 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are solutions.
x = 8
| 8 - 3 | = | 5 | = 5 = right side
x = - 2
| - 2 - 3 | = | - 5 | = 5 = right side
Thus the solutions are x = - 2, x = 8
The equation given is the same as x - 3 = 5 or -(x - 3) = 5
Steps to solve:
x - 3 = 5
x - 3 + 3 = 5 + 3
x = 8
Steps to solve:
-(x - 3) = 5
-x + 3 = 5
-x + 3 - 3 = 5 - 3
-x = 2
-x/-1 = 2/-1
x = -2
Therefore, the solutions are x = 8 and x = -2
Best of Luck!
Alina is flying a kite. The kite string is fully extended and measures 100 feet in length. The kite is 45 feet east of Alina. Which equation can be used to find the height of the kite? How high is the kite? Select two answers
Answer: I chose A and D but I'm not sure.
Answer:
The answers are A and D since A is the right equation and 89.3 is the right answer
Step-by-step explanation:
Choose the best graph that represents the linear equation:
4x + y = 0
i need help please
Answer:
graph A
Step-by-step explanation:
Answer:
Graph B
Step-by-step explanation:
I did the practice on edg
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 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:
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.) -3.5 - 2.1 x 1.8
1. Simplify 2.1 * 1.8 to 3.78
-3.5 - 3.78
2. Simplify
-7.28
Answer: -7.28
Step-by-step explanation:
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
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: