Respuesta:
2x - 0.5x = 30
x = 20
Explicación paso a paso:
Llamemos "x" a la incógnita, el número desconocido.
Cuando nos referimos al doble de un número, es lo mismo que 2x.
Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.
Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:
2x - 0.5x = 30
1.5x = 30
x = 30/1.5 = 20
Find the fraction which is exactly halfway between 1/12 and 1/3
Answer:
2/12
Step-by-step explanation:
fraction 1 = 1/3
fraction 2 = 1/12
Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24
Please help me with this
Step-by-step explanation:
angle 6 = 61° (definition of vertical angles)
angle 3 = 61° (definition of alternate interior angles)
angle 1 = 61° (definition of vertical angles)
angle 7 = 119° (definition of supplementary angles)
angle 5 = 119° (definition of supplementary and vertical angles)
angle 4 = 119° (definition of consecutive interior angles)
angle 2 = 119° (definition of vertical angles)
What is the circumference of the circle shown below, given that the length of
AB (the minor arc) is 4?
C
30,
A
A. 48
B. 40
C. 24
d
D. 12
someone pls help no links
Given:
Length of arc AB is 4 units.
The measure of central angle corresponding to arc AB is 30 degrees.
To find:
The circumference of the circle.
Solution:
The formula for arc length is:
[tex]s=2\pi r\dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius and [tex]\theta[/tex] is the central angle.
It is also written as:
[tex]s=C\dfrac{\theta }{360^\circ}[/tex]
Where, C is the circumference of the circle.
Putting [tex]s=4,\theta =30^\circ[/tex] in the above formula, we get
[tex]4=C\dfrac{30^\circ}{360^\circ}[/tex]
[tex]4=\dfrac{1}{12}C[/tex]
Multiply both sides by 12.
[tex]4\times 12=C[/tex]
[tex]48=C[/tex]
The circumference of the circle is 48 units.
Therefore, the correct option is A.
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
|x-1|-1=1 what’s the value of x
Answer:
x=3, x=-1
Step-by-step explanation:
|x-1|-1=1
Add 1 to each side
|x-1|-1+1=1+1
|x-1|=2
Now set the absolute value to ±2
x-1 = 2 and x-1 = -2
Add 1 to all sides
x-1+1 = 2+1 x-1+1 = -2+1
x=3 x = -1
6 $44 is shared between David, Jo and Mary in the ratio 2:3:5
How much does each receive?
Answer:
David=$8.8
Jo=$13.2
Mary=$22
Step-by-step explanation:
2+3+5=10
44/10=4.4
David=4.4x2=$8.8
Jo=4.4x3=$13.2
Mary=4.4x5=$22
8.8+13.2+22=44
Lesson 4: If - Else is covered in the video below. Click play on the first video to start the lesson. This lesson includes programming, so be sure to pause the videos to edit and write code in the programming environment when prompted.
Download the slides used in the videos below if you'd like to follow along.
Wait… what lesson? I am confused :/
easy algebra question below first correct answer gets brainliest
PLEASE HELP ME
Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.
Answer:
150cm^2
Step-by-step explanation:
The second doughnut glazing machine can glare 78 dozen doughnuts in
2 hours
Based on this rate, what is the total number of hours it will take the second
machine tolar 135 doren doughnuts Show or explain how you got you
answer
Answer:
t = 3.46 hours, or 3 hours 28 minutes
Step-by-step explanation:
78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.
Donuts produced as a function of time: D(t), where t is the number of hours the macine runs.
Set D(t) = 135 dozen = (39 dozen/hr)t.
Solving this equation for t, we get:
t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes
**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
help grade 10 math,,,?????????????
Answer:
7 no =option B
8 no =option
9 no=option D
10 no=option c
Step-by-step explanation:
Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS
Answer:
[tex]-2 -\sqrt{3}[/tex]
Step-by-step explanation:
First consider numerator
[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : sin (A + B) = sin A cos B + cos A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]
Second consider denominator
[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : cos (A + B) = cos A cos B - sin A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]
Therefore,
[tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]
[tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]
Either we can stop here or Rationalize the denominator:
[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]
helppppppp no links or anything, please give the answer
Answer:
Step-by-step explanation: the answer is x^2+10x+21
help with full calculations
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
__
3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.
whats the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
a^2+2^2=7^2
a^2+4=49
a^2=49-4
a^2=45
a=[tex]\sqrt{45}[/tex]
a=3[tex]\sqrt{5}[/tex]
a=6.7
Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.
PLEASE DO NOT SEND ANY FAKE LINKS
thank you
Answer:
52·s + 2·a = [2] × ([26·s] + [a])
Step-by-step explanation:
The number of classes Mr. Fox takes to the museum = 2 classes
The number of tickets Mr. Fox orders = The number of students and teachers in the two classes
The number of students paid for by one of the classes = The number of students paid for by the other class
The number of adult paid for by one of the classes = The number of adult paid for by the other class
The expression for the total cost of the ticket is 52·s + 2·a
Let 'c' represent the total cost for each class
Therefore, given that each class pays for the same number of students and adults, we have;
2 × c = 52·s + 2·a
∴ c = (52·s + 2·a)/2 = 26·s + a
Therefore, given that we have 2 classes, we get;
52·s + 2·a = 2 × (26·s + a)
What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values1) Determine the slope (m)
[tex]y=mx+b[/tex]
We're given that the slope of the line is 1. Plug this into the above equation
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-7,-7)
[tex]-7=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]-7+7=-7+b+7\\0=b[/tex]
Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]
[tex]y=x+0\\y=x[/tex]
I hope this helps!
HELP ASAP
A pair of equations is shown below:
y = 2x + 9
y = 4x − 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)
Your answer:
Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).
2 laundry company one time fee
Answer:
Step-by-step explanation:
I am sorry but what is this suppose to be asking
an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?
Answer:
50
Step-by-step explanation:
to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
3/2
-2/3
2/3
- 3/2
Answer:
-3/2
Step-by-step explanation:
attracting geometry genius’s
Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree
Help with this one please
Answer:
v= 2
Step-by-step explanation:
[tex]6(5 - 8v) + 12 = -54\\30 - 48v + 12 = -54\\- 48v = - 54 - 30 - 12\\-48v = -96[/tex]
[tex]v = \frac{-96}{-48} = 2[/tex]
[tex]6(5-8v)+12=-54[/tex]
[tex]=30-48v+12=-54[/tex]
[tex]=-48v=-54-12-30[/tex]
[tex]-48v=-66-30[/tex]
[tex]-48v=-96[/tex]
[tex]-v=-96/48[/tex]
[tex]v=2[/tex]
-----------------------
hope it helps...
have a great day!!
100 POINTS
which of the following best describes the general situation in post war America
A. low unemployment
B. Great Depression
C. population decrease
D. equality for all
A. low unemployment
I hope this answer helps you...
A model of a sailboat is 3 inches wide and 12 inches high. If the actual sailboat is 9 feet wide, what is the height?
Answer:
36 FEET
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
scale = 9 / 3 = 3
1 inch : 3 feet
Actual height = 12 x 3 = 36
8 less then the product of 7 and -3
Answer:
im not exactly sure what you mean but is it
8 < 4
sorry if this didn't help
Step-by-step explanation:
Answer:
-29
Step-by-step explanation:
7(-3) - 8 = -21 - 8 = -29
What is the slope of the line that passes through the points (3,5) and (-1,5)?
Answer:
slope=y2-y1/x2-x1
=5-5/-1-3
=0/-4
=0
Step-by-step explanation:
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 5)
m = [tex]\frac{5-5}{-1-3}[/tex] = [tex]\frac{0}{-4}[/tex] = 0
i need help ill give brainliest
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
pls mark me brainliest
Guys that true?
when you’re dividing do you put the bigger number first and then the smaller one or the opposite because you get different answers
Answer:
it's true for example 10/5=2 or 5/10=0.5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
You can divide any way you want but commonly you put the bigger number in front.
Step-by-step explanation: