[tex]18d-2m+9k[/tex] < [tex]5k+10[/tex]
[tex]18d-2m[/tex] < [tex]-4k +10[/tex]
[tex]-2m[/tex] < [tex]-4k +10 -18d[/tex]
[tex]m[/tex] > [tex]\frac{-4k+10-18d}{-2}[/tex] (flipped the sign because we're dividing by a negative)
[tex]m[/tex] > [tex]2k+5+9d[/tex]
Answer:
m > 2k + 9d- 5
What is the solution to 6(n−2)−8=22+4(2−n)?
Answer:
n=5
Step-by-step explanation:
6(n-2)-8=22+4(2-n)
open brackets
6n-12-8=22+8-4n
collect like terms
6n+4n=22+8+12+8
10n=50
n=50/10
n=5
A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread in metres.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = [tex]2\pi r[/tex]
Since radius of the reel = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Please help asap! Thank you so much!
Answer:
90°Step-by-step explanation:
[tex]Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°[/tex]
Describe how the shape moves to get from it's position in each frame to the next. Select all ways the rectangle could have been rotated to get from fame 1 to fame 2.
Answer:
40 DEGREES COUNTERCLOCKWISE
140 DEGREES CLOCKWISE
Step-by-step explanation:
To get from frame one to frame two you can either rotate the object in a clockwise or anticlockwise direction.
We can use the edges of the rectangle to monitor the degree with which it is rotated.
If we rotate in a clockwise direction, it means that we are rotating from the left to the right; that is in the direction of the clock. If we are turning this way, we would have to turn the rectangle through 140 degrees to get it into frame 2's position
If we are rotating in the anticlockwise direction (against the direction of the clock) we are turning it from the right to the left. We will be turning it by only 40 degrees to get it into frame 2's position
Write 15^-6 using a positive exponent
Answer:
[tex]\frac{1}{15^{6}}[/tex]
Step-by-step explanation:
If you see a negative sign in the power, you will place the number and power over 1:
15^-6 = 1/(15^6)
[tex]\frac{1}{15^{6}}[/tex]
Simplify. Solve 15^6:
15^6 = 15 * 15 * 15 * 15 * 15 * 15 = 11,390,625
1/11,390,625 is your simplified answer.
However, note that you are solving for a positive exponent. Your answer will be:
[tex]\frac{1}{15^{6}}[/tex]
Your parents rent a car for vacation. They pay a $100 deposit and $50 a day. How much will they pay after 5 days ? what is the slope for this questio
Answer:
350
Step-by-step explanation:
First off, remember that $100 is only added once as a deposit. Now we need to figure out what $50 times 5 is. We can calculate that is equals $250
Now we need to add the deposit onto the total.
250+100= 350
Hope this helped!
Assuming there are no reflections or dilations,
explain how you would write the equation of the
function whose graph is sketched below.
ty
4
-8
-4
Answer:
Start with the parent function y=1/x^2.
Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
When a function is transformed, it means the function is either rotated, dilated, rotated or translated.
The equation of the function whose graph is sketched is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
The parent function is an inverse function of the form:
[tex]y = \frac 1{x^2}[/tex]
The parent function is shifted in two ways.
3 units left1 unit upWhen a function is shifted to the left, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
Where:
[tex]h \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x + 3,y)[/tex]
The function becomes
[tex]y' = \frac{1}{(x + 3)^2}[/tex]
When a function is shifted up, the rule is:
[tex](x,y) \to (x ,y+b)[/tex]
Where:
[tex]b \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x ,y+1)[/tex]
The function becomes
[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]
So, the graph of the function in the given graph (see attachment) is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
Read more about transformations at:
https://brainly.com/question/11707700
what are points on the same line called
Answer:
parallell
Step-by-step explanation:
Answer:
collinear points
Step-by-step explanation:
A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines. A plane extends infinitely in two dimensions.
a(2x+3) = 9x+15+x. Solve for a
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
[tex]a(2x + 3) = 9x + 15 + x \\ a = \frac{5(2x + 3) }{2x + 3} \\ a = 5 \\ [/tex]
Hoor it helps
The solution of the given expression a(2x+3) = 9x+15+x is 5.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Given the expression,
a(2x+3) = 9x + 15 + x
Divide both sides by 2x + 3
a = (9x + 15 + x)/(2x + 3)
a = (10x + 15)/(2x + 3)
a = 5(2x + 3)/(2x + 3)
a = 5
Hence "The solution of the given expression a(2x+3) = 9x+15+x is 5".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
2p-9=5p+12 what’s the value of p
Answer:
-7
Step-by-step explanation:
2p-9=5p+12
2p-9-12=5p
-21=5p-2p
-21=3p
p= -21/3
p= -7
Answer: P=51
--
Steps for Solving Linear Equation: 20−9=5p+12
--
Subtract 9 from 20 to get 11.
[tex]11=5p+12[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]5p+12=11[/tex]
Subtract 12 from both sides.
[tex]5p=11-12[/tex]
Subtract 12 from 11 to get −1.
[tex]5p=1[/tex]
Divide both sides by 5.
[tex]p=5-1[/tex]
Fraction 5−1≈−0.2 can be rewritten as −51=−0.2 by extracting the negative sign.
[tex]p=-51[/tex]
Please help
D=1/3fk solve for k
Answer:
[tex]k = \frac{3D}{f} [/tex]Step-by-step explanation:
[tex]D = \frac{1}{3} fk[/tex]To solve for k first multiply both sides by 3
That's
[tex]3D = fk[/tex]Next divide both sides by f in order to isolate k
We have
[tex] \frac{fk}{f} = \frac{3D}{f} [/tex]Simplify
We have the final answer as
[tex]k = \frac{3D}{f} [/tex]Hope this helps you
The line m has a slope of 3/4 and passes through the point (-2, 1). Show that the point (82, 63) does or does not
lie on line m. Justify your answer.
Answer: It does not lie on the line m.
Step-by-step explanation:
First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like on line M.
The slope intercept formula is y = mx +b where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.
Plot the coordinates and the slope into the formula to solve for b.
1 = 3/4(-2) + b
1 = -6/4 + b
+6/4 +6/4
b = 10/4
y = 3/4x + 10/4
63 = 3/4(82) + 10/4
63 = 64
what are the prime factorization of 25
Answer:
25 = 5^2
Step-by-step explanation:
Factor the following integer:
25
Hint: | Is 25 divisible by 2?
25 is not divisible by 2 since 25 is odd and 2 is even:
25 = 25 (25 is not divisible by 2)
Hint: | Is 25 divisible by 3?
The sum of the digits of 25 is 2 + 5 = 7, which is not divisible by 3. This means 25 is not divisible by 3:
25 = 25 (25 is not divisible by 2 or 3)
Hint: | Is 25 divisible by 5?
The last digit of 25 is 5, which means 25 is divisible by 5:
25 = 5 5:
25 = 5×5 (5 is not divisible by 2 or 3 since 25 is not)
Hint: | Now try to factor 5. Is 5 prime?
No primes less than 5 divide into it. Therefore 5 is prime:
25 = 5×5
Hint: | Express 25 as a prime power.
There are 2 copies of 5 in the product:
Answer: 25 = 5^2
Un terreno A, tiene un largo de 120 m. Y un ancho de 200 m. . Si es 3 veces más largo y 4 veces más ancho que el terreno B. ¿Cuál es el área del terreno B?
Answer:
El área del terreno B es 2000 m.
Step-by-step explanation:
Tenemos que el terreno A es:
[tex]L_{A}[/tex]: largo = 120 m
[tex]A_{A}[/tex]: ancho = 200 m
Y que el terreno B es:
Largo:
[tex] L_{A} = 3L_{B} [/tex]
[tex] L_{B} = \frac{L_{A}}{3} = \frac{120 m}{3} = 40 m [/tex]
Ancho:
[tex] A_{A} = 4A_{B} [/tex]
[tex] A_{B} = \frac{A_{A}}{4} = \frac{200}{4} = 50 m [/tex]
Entonces, asumiendo que el terreno es un rectángulo, el área del terreno B es:
[tex] a_{B} = L_{B}*A_{B} = 40 m*50 m = 2000 m [/tex]
Por lo tanto, el área del terreno B es 2000 m.
Espero que te sea de utilidad!
Two times the sum of half a number and 4 is 24. What is the number?
Answer:
The number is:
16
Step-by-step explanation:
2(a/2 + 4) = 24
2*a/2 + 2*4 = 24
a + 8 = 24
a = 24-8
a = 16
Check:
2(16/2 + 4) = 24
2*16/2 + 2*4 = 24
16 + 8 = 24
Answer:
34
Step-by-step explanation:
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
how do you multiply(2x+3)(x-7)
Answer:
2x(x-7)+3(x-7)
2x²-14x+3x-21
2x²-11x-21
Plot the complex number —4 – 8i on the axes below.
It`s easy.
Real axis (-4) is the abscissa, the part with i (-8) is the ordinate. That`s why...
Describe a way in which the diagram above illustrates the unique line postulate.
A. Planes R. and s intersect at line AB.
B. There is exactly one line, m, through points B and D.
C. There is exactly one plane, S, through points A, B, and C.
D. Plane R. contains points A and B and line AB.
Answer:c
Step-by-step explanation:
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answer: 4 years
Step-by-step explanation:
144 + 8(4) = 176
108 - 5(4) = 88
88 x 2 = 176
Which of the following values are in range of the function graphed below? Check all that apply. A. 2 B. -6 C. 1 D. -2 E. -1
Answer:
B. -6
D. -2
E. -1
Step-by-step explanation:
The range is the values for the output or y values
y is between -6 and 0 including the endpoints
-6 ≤y≤0
A. 2 not included
B. -6 included
C. 1 not included
D. -2 included
E. -1 included
What is the domain of this function(picture attached)? Due in 2 hours, 15 points and I'll give Brainliest!
Answer:
[tex]x\geq 1[/tex]
B
Step-by-step explanation:
For square root functions, the domain is the restrictions on the x-variable.
Recall that you cannot take the square root of a negative. Thus, all values under the square root must be greater than or equal to 0. Thus, to find the domain, set the expression under the radical sign to greater than or equal to 0 and solve for x:
[tex](x-1)\geq 0[/tex]
Add 1 to both sides.
[tex](x-1)+1\geq 0+1\\x\geq 1[/tex]
Thus, the domain is:
[tex]x\geq 1[/tex]
All real numbers such that x is greater than or equal to 1.
Answer:
[tex]\huge \boxed{x \geq 1}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
There are restrictions on the value of x.
The number in the square root has to be greater or equal to 0 to be defined. Since the square root of a number lesser than 0 will be undefined.
[tex]x-1\geq 0[/tex]
Adding 1 to both sides.
[tex]x-1+1 \geq 0+1[/tex]
[tex]x\geq 1[/tex]
The domain of the function is [tex]x\geq 1[/tex]
All real numbers greater or equal to 1.
The girl's basketball team played a game this Wednesday. Here are some of the statistics for the players from
the game
The individuals in this set are:Choose 1 Answer
A.Basketball Games
B.Basketball Scores
C.Basketball Players
This data contains:Choose 1 Answer
A. 3variables,1 of which is quantitative
B. 3 variables,2 of which are quantitative
C. 5 variables, 1 of which is quantitative
D. 5 variables, 2 of which are quantitative
The individuals in this set are C) Basketball players
This is because it's listing all the player names with their associated stats.
====================================================
The data contains B) 3 variables, 2 of which are quantitative
The variables are
free throw percentageassistsclassThe first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.
This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.
What are quantitative variables?A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.
The quantitative variables are free throw percentage and the number of assists.
To learn more about quantitative variables, please check: https://brainly.com/question/14583272
#SPJ2
does circumference divided by ratio equal to pi?
Answer:
Yes circumference divided by ratio equals to pi
Answer:
Step-by-step explanation:
What is the sum of 23/25 + 9/30
Answer:
61/50
Step-by-step explanation:
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12) = (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10) = (9*10)/(30*10) = 90/300
then:
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
The addition of the fraction 23/25 + 9/30 is equal to 61/50.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
'a/b' of a quantity means that quantity is first divided in 'b' parts, and then mutiplied by 'a', or,
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12)
= (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10)
= (9*10)/(30*10) = 90/300
Now add the terms;
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
Therefore, the addition of the fraction 23/25 + 9/30 is equal to 61/50.
Learn more about fraction here;
https://brainly.com/question/729654
#SPJ2
The length of a rectangle picture is 5 inches more than three times the width. Find the dimensions of the picture if it's perimeter is 74 inches.
Answer:
length = 29 incheswidth = 8 inchesStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 74 in
The statement
The length of a rectangle picture is 5 inches more than three times the width is written as
l = 5 + 3w
Substitute the expression into the above formula and solve for the width
That's
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 64
Divide both sides by 8
w = 8
Substitute this value into l = 5 + 3w and find the length
That's
l = 5 + 3(8)
l = 5 + 24
l = 29
The dimensions of the rectangle are
length = 29 inches
width = 8 inches
Hope this helps you
Mrs.li wants to compare her students test scores to the school average. She created a table to help her. Which list orders the students from least to highest?
Answer:
Cierra and fionna
Step-by-step explanation:
because their under 0
and 0 is the school average
Answer:
B uWu
Step-by-step explanation:
what is 3x + 7 = 22
Answer: The value of x is = 5.
Step-by-step explanation:
So we are given the equation:
3x + 7 = 22
We just have to isolate 3x and move 7 to the other side:
3x = 22 -7
3x = 15
Now divide:
x = 15/3
x = 5
There you go!
Answer:
5
Step-by-step explanation:
22-7=15 and 15 divided by 3 =5
Which of the following represents a positive number?
Answer: OPTION C
Step-by-step explanation:
A positive number must be greater than (>) 0, so lets check which fits this condition.
--------------------------------------------
A.
7.09+(-7.28)=-0.19 NEGATIVE
B.
-12+11.5=-0.5 NEGATIVE
C.
-4.8-(-6.1)=1.3 POSITIVE
D.
-21-(-18.5)=2.5 NEGATIVE
--------------------------------------------
C represents positive number
Hope this helps!! :)
Please let me know if you have any question
Please help
Identify the slope, m, and y-intercept, b, of the equation.
y = x - 4
Identify the slope, m, and y-intercept, b, of the equation . Y=x-4 .Enter the correct values in the boxes . M=_ ; b=_ Graph the line described by the equation y=x-4
Answer:
m = 1 (the slope is 1/1) b = -4 (the y-intercept is (0,-4))
Step-by-step explanation:
First, you have to plot a point at the y-intercept (0,-4). Then go up once and to the right once (since the slope is 1/1). Keep doing this as much times as you want and connect the dots to form a line. See image below.