Answer:
r = 5q / (p + 10)
Step-by-step explanation:
p = 5(q - 2r)/r
multiply both sides by r
pr = 5(q - 2r)
distribute
pr = 5q - 10r
add 10r to both sides
pr + 10r = 5q
Factor out r
r(p + 10) = 5q
divide both sides by p + 10
r = 5q / (p + 10)
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
4x+5y=20 need help solving x and y intercept plotting
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x To find the y-intercept, substitute in 0 for x and solve for y.
Slope: [tex]m=-\frac{4}{5}[/tex]
x-intercept(s): ( 5 , 0 )
y-intercept(s): ( 0 , 4 )
First rewrite the expression by combining like terms 1/2(13x+5x-6-8x+14)=1/2
Answer:
1/2(10x+8)
Step-by-step explanation:
Combine like terms
13x+5x+(-8x) and -6+14
(10,4) and (14,2) slope
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\textsf{Slope of: (10,4) (14,2) }[/tex]
[tex]\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}[/tex]
[tex]\textsf{Whereas }\downarrow[/tex]
[tex]\mathsf{y_2 = 14}[/tex]
[tex]\mathsf{y_1 = 10}[/tex]
[tex]\mathsf{x_2 = 2}[/tex]
[tex]\mathsf{x_1 = 4}[/tex]
[tex]\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow-2}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with $205
STEP BY STEP EXPLANATION PLEASE
$10.50
10 Tickets would be $105.00
$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50
$105.00 + $94.50 = $199.50
$205.00 - $199.50 = $5.50 which isn't enough for another ticket.
10 Tickets + 9 Tickets = 19 Tickets.
Write two expressions for the perimeter of the figure.
Answer:
(a) 5 + 7 + 6x + 8x + 6
(b) 18 + 14x
Step-by-step explanation:
7x+1/3=2 2/3
Help me please
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
Can someone pleaseeee help me :(
Answer: x-5 / x
Step-by-step explanation:
because…
Answer:
[tex]\frac{x - 5}{x}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]
It can also be written as :-
[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]
[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]
Cancel x + 4 from numerator and denominator.
[tex]=> \frac{x - 5}{x}[/tex]
guys i need help at least 1 question please
i will give brainliest
Answer:
most of them would be 0
Step-by-step explanation:
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred
Answer:
7 > F
Step-by-step explanation:
Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred
7. Fred has fewer dollars than Penny. Left F=Fred
7 > Left F=Fred
7 > F
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
thank you guys for helping me :) :)
Answer:
The second one is right
Step-by-step explanation:
Hope it helpssss
please help me answer this question!
Answer:
equation: y = -5/4xslope: -5/4point: (0, 0)Step-by-step explanation:
The slope is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(0 -(-4)) = -5/4
slope = -5/4
The second point can be used to keep it simple.
point: (0, 0)
Point-slope equation:
y -0 = -5/4(x -0)
y = -5/4x . . . . . . . simplified
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
Mr. Gooddeal sells cars. He gets to keep 1/6 of his sales commission. How much must he sell in order to earn $1500.
I need help! Show all the work, step by step.
Answer:
z = [tex]\frac{4x}{3y}[/tex]
Step-by-step explanation:
x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4x = 3yz ( isolate z by dividing both sides by 3y )
[tex]\frac{4x}{3y}[/tex] = z
I need some help please. I don't understand this. :)
Answer:
i dont know sorry
Step-by-step explanation:
pls ask someone else thanks have a nice day
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Answer:
[tex]5400 \div 300000 \\ \\ = 0.018[/tex]
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
To learn more about surface area,
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You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?
Answer:
92 dollars each luv:)
Step-by-step explanation:
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
Find the 66th term of the arithmetic sequence -10, 7, 24, ...−10,7,24,...
Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
find the value of x and y
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?
Answer:
the one you picked was right.
Step-by-step explanation:
if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense
What are the roots of the equation x²+2x+17=0 in simplest a+bi form?
Answer:
-1 ±4i
Step-by-step explanation:
The quadratic can be written in vertex form as ...
x² +2x +17 = 0
(x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square
(x +1)² = -16 . . . . . . . . . . . . subtract 16
x +1 = ±√(-16) = ±4i . . . . take the square root
x = -1 ±4i . . . . . . . . . . . subtract 1
The roots of the equation are x = -1-4i and x = -1+4i.
_____
Additional comment
It can be worthwhile to remember the form of a perfect square trinomial:
(x +a)² = x² +2ax +a²
If you know the coefficient of x, you can use half of it as the constant in each binomial factor.
In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.
The roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].
To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.
The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
We have a = 1, b = 2, and c = 17.
Substituting these values into the quadratic formula, we get:
[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]
[tex]x = \frac{-2 \pm 8i}{2}[/tex]
[tex]x = -1 \pm 4i[/tex]
So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.
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a boy is y years old now .how old was he 10 years ago
Answer:
Hi there the answer is y-10