Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
Criss-cross method:
4 cups of flour -> 3dozen cookies
16 cups of flour -> x
[tex] x = \frac{16 \times 3}{4} = \frac{48}{4} = 12[/tex]
Hope this helps..
There are 21 fish in an aquarium. If 3/7 of the fish are goldfish, how many goldfish are in the aquarium?
Answer:
9
Step-by-step explanation:
21 x 3/7
= 9 ( goldfish )
Answer:
9 goldfishes
Step-by-step explanation:
Total fish = 21
Number of goldfish = 3/7 of 21
[tex]= \frac{3}{7}*21\\\\= 3 * 3\\\\= 9[/tex]
Hi pls answer the following 4 questions
Will mark as brainliest for the best answer
1) multicropping
2)soilconservation
3)High carbon farming
4) clay particle
Hope it helps
solve (x-5)^2=3 question has to be 23 characters so I'm typing this lol
hi my litler friend
[tex](x-5)^2=3\\(x-5)=+-\sqrt{3} \\\\x-5=\sqrt{3} \\x=5+\sqrt{3} \\\\x-5=-\sqrt{3} \\x=5-\sqrt{3} \\\\\\S=(5-\sqrt{3},5+\sqrt{3})\\[/tex]
if in doubt, let me know. I really like to help.
Exact solutions: [tex]x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}[/tex]
Approximate solutions: [tex]x \approx 6.732051 \ \text{ or } \ x \approx 3.267949[/tex]
==================================================
Work Shown:
Apply the square root to both sides, then add 5 to both sides
Don't forget about the plus/minus so you can get two solutions.
[tex](x-5)^2 = 3\\\\\sqrt{(x-5)^2} = \sqrt{3}\\\\|x-5| = \sqrt{3}\\\\x-5 = \pm\sqrt{3}\\\\x-5+5 = \pm\sqrt{3}+5\\\\x = 5\pm\sqrt{3}\\\\x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}\\\\x \approx 6.732051 \ \text{ or } \ x \approx 3.267949\\\\[/tex]
Use a calculator for the last step.
If DF = 9x - 39, find EF
Answer:
EF = 58 units
Step-by-step explanation:
Given:
DF = 9x - 39
DE = 47
EF = 3x + 10
Find:
EF
Computation:
DF = DE + EF
9x - 39 = 47 + 3x + 10
9x - 3x = 47 + 39 + 10
6x = 96
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 58 units
1. how to find slope on a y=mx+b
2.how to form a equation of a parallel line of an y=mx+b
3. how to start a parallel line in the origin
plz help
Answer:
1.) The slope of an equation expressed in the form of y= mx+b is m.
5 Seth bought a used car that had been driven 20,000
miles. After he owned the car for 2 years, the total
mileage of the car was 49,400. Find the average
number of miles he drove each month during those
2 years.
49,400-20,000=29400
29400/24=1225 average miles per month
The rate of return is the profit or loss on an investment as a percent of the initial investment cost. What is the rate of return on an investment that is now worth $20,880 and originally cost $18,000?
Answer:
Rate of return = 16%
Step-by-step explanation:
The computation of the rate of the return is shown below:
Data provided in the question
Current value of the investment = $20,880 = C
Originally cost = $18,000 = O
N = Net earnings = C - O
= $20,880 - $18,000
= $2,880
Based on the above information, the rate of return is
[tex]= \frac{N}{O} \\\\ = \frac{\$2,880}{\$18,000}[/tex]
= 16%
Hence, the rate of return is 16%
What is the value of x in the equation below?
R
-3-(-8)-(-2)= X
0-13
-9
03
O 7
Answer:
X= 7
Step-by-step explanation:
-12x - 60 = 144. Find the value of x.
Three circles are inscribed in a rectangle of width w and height h as shown. Two of the circles are congruent and are each tangent to two adjacent sides of the rectangle and to each other. The other circle is larger and is tangent to three sides of the rectangle and to the two smaller circles. What the ratio of h to w? Express your answer as a decimal to the nearest hundredth.
==========================================
Explanation:
The two smaller circles have a height of h, so one circle has a height of h/2 = 0.5h
The radius of each smaller circle is (0.5h)/2 = 0.25h
Draw an xy axis. Place the bottom left corner of the rectangle at the origin (0,0)
The center of the lower smaller circle is at location (0.25h, 0.25h). Call this point A.
Let B be the center of the larger circle. It has coordinates (x,y). We don't know x, but we know that y = 0.5h since the center must be at the halfway point in terms of the height of this rectangle. So the larger circle has a radius of 0.5h
Draw a line segment connecting A and B. The length of this segment, call it d, is d = 0.5h + 0.25h = 0.75h. Note how I added the two radius values mentioned earlier.
-------------
Summarizing everything so far, we have
A = (0.25h, 0.25h)
B = (x, 0.5h)
d = 0.75h
The distance formula is then used
d = distance from A to B
d = length of segment AB
d = sqrt( (x1-x2)^2 + (y1-y2)^2 )
0.75h = sqrt( (0.25h - x)^2 + (0.25h - 0.5h)^2 )
(0.75h)^2 = (0.25h - x)^2 + (-0.25h)^2
0.5625h^2 = 0.0625h^2 - 0.5hx + x^2 + 0.0625h^2
x^2 - 0.5hx + 0.4375h^2 = 0
From here you use the quadratic formula to get x = 0.9571067811865h approximately (the other solution is ignored as it's negative). See the attached image below if you're curious what the quadratic formula steps would look like.
This x value is the x coordinate of point B, which is the center of the larger circle. This spans the horizontal distance from the left edge of the rectangle to the center of the larger circle. The remaining horizontal distance is h/2 as it is the radius of the larger circle.
Therefore,
w = 0.9571067811865h + 0.5h
w = 1.4571067811865h
-------------
We have turned w into a roughly equivalent expression that has an h in it, allowing us to find the ratio of h to w
h/w = h/(1.4571067811865h) = 1/1.4571067811865 = 0.68629150101527
When rounding to two decimal places, we get roughly 0.69
Answer this question
Answer:
c. 40°
Step-by-step explanation:
The information given has been illustrated in the figure drawn in the attachment below.
m<BAD = 50° (angle bisector theorem)
m<ADB = 90° (perpendicular bisector)
m<ABD = 180 - (m<BAD + m<ADB) (sum of angles in a triangle)
m<ABD = 180° - (90° + 50°)
= 180° - 140°
= 40°
B = 40°
GEOMETRY
SOMEBODY PLEASE HELP ME ON THIS I NEED IT BY TODAY
What is the correct postulate/theorem/definition
given: angle MRS = angle MRO
VO=VO
This is the idea that any segment is the same length as itself (in this case, segment VO is the same length as segment VO). Think of a mirror reflecting an identical image of something in front of the mirror.
It might seem redundant to say VO = VO, but it's useful when you want to break up a figure into smaller more manageable pieces to do the proof.
The measure of angle MRS exists equivalent to the measure of the angle MRO or m∠MRS = m∠MRO.
What is quadrilateral?It exists described as the four-sided polygon in geometry containing four edges and four corners.
∠MRS ≅ ∠MRO (given)
From the given figure, we get
∠MRS + ∠MRO = ∠SRO
∠MRS + ∠MRO = 180 (as SRO exists a straight line segment)
Given: ∠MRS exists congruent to ∠MRO
2∠MRS = 180 degree
∠MRS = 90 degree
∠MRO = 180 - 90 = 90 degree
m∠MRS = m∠MRO
Therefore, the measure of angle MRS exists equivalent to the measure of the angle MRO or m∠MRS = m∠MRO.
To learn more about quadrilateral
https://brainly.com/question/27891143
#SPJ2
Three sides of a triangle are 2 + 2 + 2, 4 + 52 − 32 + 2. Find
its perimeter
Answer:
2+2+2=6
4+52-32+2=26
finally add 26+6=32
For each equation, solve for y
la primera sale 1/3
la segunda 1/4
la tercera tambien 1/4
en la cuarta se puede hacer un grafico o un planteo de ecuacionas de igual manera te va a salir 1/5
y en la quinta tambien se puede hacer un grafico o un planteo de ecuacionas de igual manera te va a salir 1/8
what is the equation of a line that is perpendicular to y=-5x+11 and passes through the point (3,3)?
Answer:
[tex]y=\frac{1}{5}x+\frac{12}{5}[/tex]
Step-by-step explanation:
The slope of a line that is perpendicular to another will have an opposite-reciprocal slope. So, if the slope was -2, then the perpendicular slope would be [tex]\frac{1}{2}[/tex] .
[tex]y=-5x+11[/tex]
This is written in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept. Find the opposite-reciprocal of the slope, -5:
[tex]y=\frac{1}{5} x+b[/tex]
Now we need to find the y-intercept. For this, substitute the given points for its appropriate value:
[tex](3_{x},3_{y})\\\\3=\frac{1}{5}(3)+b[/tex]
Solve for b:
Simplify multiplication:
[tex]\frac{1}{5}*\frac{3}{1}=\frac{3}{5}[/tex]
Insert:
[tex]3=\frac{3}{5}+b[/tex]
Subtract b from both sides:
[tex]3-b=\frac{3}{5}+b-b\\\\3-b=\frac{3}{5}[/tex]
Subtract 3 from both sides:
[tex]3-3-b=\frac{3}{5}-3\\\\-b=\frac{3}{5}-3[/tex]
Simplify subtraction:
[tex]\frac{3}{5}-3\\\\\frac{3}{5}-\frac{3}{1}\\\\\frac{3}{5}-\frac{15}{5}=-\frac{12}{5}[/tex]
Insert:
[tex]-b=-\frac{12}{5}[/tex]
Multiply both sides by - 1 to simplify b (it can be seen as -1b):
[tex]-b*(-1)=-\frac{12}{5}*(-1)\\\\b=\frac{12}{5}[/tex]
Insert:
[tex]y=\frac{1}{5}x+\frac{12}{5}[/tex]
:Done
Which decimals are less than 2.312 select all that apply A. 2.311. B.2.4 C.2.32 D.2.3 E.2.31 F.2.313
Answer:
A, D, E
Step-by-step explanation:
I hope this is correct
Answer:
a d e
Step-by-step explanation:
What is the answer to (-18) - 14 =
Answer:
-32
Step-by-step explanation:
Negative plus negative = Negative
Just add those 2 together,
(-)18 + (-) 14
Which is -32
(-) 32 = -32
184 sixth graders are going on a field trip. There needs to be one chaperone for every four students. If a bus can hold 50 people, how many busses will they need for the trip? Hint: You can't use part of a bus! *
Answer:
5 buses
Step-by-step explanation:
Total number of 6th graders going for the field trip = 184
Step 1
Divide the total number of students by 4
184/4 = 46
We have 46 groups of six graders.
Step 2
There needs to be one chaperone for every four students.
We have 46 groups of six graders
This means there is need for 1 chaperone per group
Hence, we have 46 chaperones
Step 3
Find total number of people going for the field trip
184 students + 46 chaperones
= 230 people
Step 4
If a bus can hold 50 people, how many buses will they need for the trip?
50 people = 1 bus
230 people = ??y
50 × y = 230
y = 230/50
y = 4.6 buses
Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number
= 4.6 ≈ 5
Therefore, they would be needing 5 buses for the trip.
5 buses
Step-by-step explanation:
i got 10 out of 10
please help me!!!!!!!!
Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for cosine
cos2x = 2cos²x - 1
Given
cos( [tex]\frac{0}{2}[/tex] ) = [tex]\frac{1}{2}[/tex]( p + [tex]\frac{1}{p}[/tex] ) , then
cosΘ = 2[ [tex]\frac{1}{2}[/tex](p + [tex]\frac{1}{p}[/tex] ) ]² - 1
= 2 [ [tex]\frac{1}{4}[/tex](p² + 2 + [tex]\frac{1}{p^{2} }[/tex] ) ] - 1 ← distribute by 2
= [tex]\frac{1}{2}[/tex](p² + 2 + [tex]\frac{1}{p^{2} }[/tex] ) - 1 ← distribute by [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{2}[/tex] p² + 1 + [tex]\frac{1}{2p^2}[/tex] - 1
= [tex]\frac{1}{2}[/tex] p² + [tex]\frac{1}{2p^2}[/tex] ← factor out [tex]\frac{1}{2}[/tex] from each term
= [tex]\frac{1}{2}[/tex] ( p² + [tex]\frac{1}{p^{2} }[/tex] ) ← as required
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]cos(\theta)=2cos^2(\dfrac{\theta}{2})-1\\\\=2\left(\dfrac{p+\dfrac{1}{p}}{2}\right)^2-1\\\\=\dfrac{p^2+\dfrac{1}{p^2}+2}{2}-1\\\\=\dfrac{1}{2}(p^2+\dfrac{1}{p^2})+1-1\\\\=\dfrac{1}{2}(p^2+\dfrac{1}{p^2})[/tex]
Thank you
Which of the following could be the graph of 3x + 4y = 12?
Answer:
A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)
Step-by-step explanation:
Hello!
To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b
To get our equation to look like that we have to get y by itself
3x + 4y = 12
Subtract 3x from both sides
4y = -3x + 12
Divide both sides by 4
[tex]y =- \frac{3}{4}x + 3[/tex]
We now know the y-intercept is (0, 3)
Now we follow the slope to give us more points
More points are (4, 0), (8, -3), and (-4, 6)
The answer would be a graph that goes through those points.
Hope this helps!
Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?
A. 10
B. 3 1/2
C. 7 1/2
D. 2 1/2
Answer:
7 1/5
Step-by-step explanation:
You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.
(e.g)
1 1/5+1 1/5= 3 because 1+1=2 & 1/2+1/2=1 so you add them and get 3
Do that twice and you get 6
then you have 1 one more cup left so add 1+6=7 then add the half 7+1 1/2=7 1/2
Your Welcome
What is the name of the angle formed by BA and BC', given that the two rays share a common endpoint?
A ZBAC
B. ZABC
C. ZACB
D. ZCAB
Answer:
B. ∠ABC
Step-by-step explanation:
When naming an angle using three points, the points should be given in order, with the vertex of the angle in the middle. B is the only option that has the letters in the right order.
∠CBA would also be a valid name for the angle, but that's not one of the options.
The diagram below shows what the problem is describing.
Rays BA and BC will form an angle named B. <ABC.
Two rays sharing an endpoint will form an angle with a vertex at their meeting point. The vertex of the angle formed is represented with the letter or point at which both rays meet.As shown in the diagram attached below, the point that rays BA and BC meet is at point B.Therefore, the letter of the vertex will be in the middle of the three letters used in naming the angle.
Thus:The name of the angle formed by BA and BC is B. <ABC.
Learn more about naming of angles here:
https://brainly.com/question/19350659
In how many ways can you select two people from a group of 15 if the order of selection is not important?
Answer:
105 ways
Step-by-step explanation:
Because the order of selection does not matter, we know that we will be using a combination instead of a permutation.
₁₅C₂ = 15! / (2! * 13!)
= 15 * 14 * ... * 2 * 1 / 2 * 1 * 13 * 12 * ... * 2 * 1
= 15 * 14 / 2 * 1 (The 13! cancels out)
= 105
Answer:
105 ways, because the order of selection does not matter, we know that we will be using a combination instead of a permutation.
Which of the following equations is equivalent to x/3-6/x=1? x 2 - 3x - 18 = 0 x 2 - 2 = 3x x 2 - 6 = x
Answer:
x² - 3x - 18 = 0
Step-by-step explanation:
x/3 - 6/x = 1
x²/3 - 6 = x
x² - 18 = 3x
x² - 3x - 18 = 0
I NEED HELP ASAP! BRAINLIEST IS BEING GIVEN OUT! What are the solutions of |3x + 2| > 9? A. x > –113 or x > 73 B. x 73 C. x > –113 or x < 73 D. x < –113 or x < 73
Answer:
x > 7/3 or x < -11/3
Step-by-step explanation:
|3x + 2| > 9
There are two solutions, one positive and one negative, remembering to flip the inequality when taking the negative solutions
3x+2 > 9 or 3x+2 < -9
Subtract 2
3x+2-2 >9-2 or 3x+2-2 < -9-2
3x >7 3x>-11
Divide by 3
3x/3 > 7/3 3x/3 < -11/3
x > 7/3 or x < -11/3
Convert 27/100 to a percent.
Answer:
27%
Step-by-step explanation:
27/100
Percent means out of 100
27%
Answer:
27 percent
Step-by-step explanation:
:)
Please help me!!! Send the answer and earn 10 points, please
Answer:
y = 3 and x = - 5
Step-by-step explanation:
(a)
[tex]\frac{5-7y}{2+4y}[/tex] = [tex]\frac{-8}{7}[/tex] ( cross- multiply )
- 8(2 + 4y) = 7(5 - 7y) ← distribute parenthesis on both sides
- 16 - 32y = 35 - 49y ( add 49y to both sides )
- 16 + 17y = 35 ( add 16 to both sides )
17y = 51 ( divide both sides by 17 )
y = 3
-----------------------------------------------
(b)
x + 7 - [tex]\frac{8x}{3}[/tex] = [tex]\frac{17}{6}[/tex] - [tex]\frac{5x}{2}[/tex]
Multiply through by 6 to clear the fractions
6x + 42 - 16x = 17 - 15x
42 - 10x = 17 - 15x ( add 15x to both sides )
42 + 5x = 17 ( subtract 42 from both sides )
5x = - 25 ( divide both sides by 5 )
x = - 5
A y = 1/2x + 5 B y = 1/2x + 7 c y = 2x + 5 D y = y = 2x + 7
Answer:
[tex]\huge \boxed{{y=2x+5}}[/tex]
Step-by-step explanation:
y = mx + b (slope-intercept form of a line)
m is slope
b is y-intercept
The y-intercept of the line is (0, 5) or 5.
y = mx + 5
The slope of the line can be found through rise over run.
(1, 7) and (2, 9) are two points on the line.
m = (y2-y1)/(x2-x1)
m = (9 - 7)/(2 - 1)
m = 2/1 = 2
The slope of the line is 2.
y = 2x + 5
Answer: Hi! The equation for this line would be c), y = 2x + 5.
Step-by-step explanation:
Slope - intercept form: y = mx + b, where m is the slope and b is the y - intercept.
First, we should determine the y - intercept. We can observe using the graph that the line intercepts the y - axis at point (0, 5), so we take the y - coordinate (5) and insert it into our equation.
y = mx + 5
This automatically rules out options d) and b).
Next, we find the slope. The formula for finding the slope is (y2 - y1) ÷ (x2 - x1).
We need to choose two coordinates before we can calculate the slope.
Let's use (1, 7) and (0,5).
We will not insert the values into or slope formula:
(7 - 5) ÷ (1 - 0)
When we solve this, the quotient is 2.
This is our slope, and we can insert the value into our slope equation - -
y = 2x + 5
This rules out option a). So, your answer is option c), y = 2x + 5.
Hope this helps!
A math test has 12 multiplication problems and 24 division problems. What is the ratio value of division problems to multiplication problems? Type your answer as a fraction in simplest form.
Answer:
24:12 = 24/12
24/12 = 2/1 or 2
Step-by-step explanation:
please someone help me!!!!!!
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos2Θ = 1 - 2sin²Θ, then
1 - 2sin²([tex]\frac{\pi }{4}[/tex] - [tex]\frac{0}{2}[/tex] )
= cos [2([tex]\frac{\pi }{4}[/tex] - [tex]\frac{0}{2}[/tex] )]
= sos([tex]\frac{\pi }{2}[/tex] - Θ )
= cos[tex]\frac{\pi }{2}[/tex]cosΘ + sin
= 0 × cosΘ + 1 × sinΘ
= 0 + sinΘ
= sinΘ = right side
Answer: see proof below
Step-by-step explanation:
Use the Difference Identity: sin (A + B) = sin A cos B - cos A sin B
Use the following Half-Angle Identities:
[tex]\sin\bigg(\dfrac{A}{2}\bigg)=\sqrt{\dfrac{1-\cos A}{2}}\\\\\cos\bigg(\dfrac{A}{2}\bigg)=\sqrt{\dfrac{1+\cos A}{2}}[/tex]
Use the Pythagorean Identity: cos²A + sin²A = 1 --> sin²A = 1 - cos²A
Use the Unit Circle to evaluate: [tex]\cos\dfrac{\pi}{4}=\sin\dfrac{\pi}{4}=\dfrac{1}{\sqrt2}[/tex]
Proof LHS → RHS
[tex]\text{Given:}\qquad \qquad \qquad 1-2\sin^2\bigg(\dfrac{\pi}{4}-\dfrac{\theta}{2}\bigg)\\\\\text{Difference Identity:}\quad 1-2\bigg(\sin\dfrac{\pi}{4}\cdot \cos \dfrac{\theta}{2}-\cos \dfrac{\pi}{4}\cdot \sin\dfrac{\theta}{2}\bigg)^2\\\\\text{Unit Circle:}\qquad \qquad 1-2\bigg(\dfrac{1}{\sqrt2}\cos \dfrac{\theta}{2}-\dfrac{1}{\sqrt2}\sin \dfrac{\theta}{2}\bigg)^2\\\\\\\text{Half-Angle Identity:}\quad 1-2\bigg(\dfrac{\sqrt{1+\cos A}}{2}-\dfrac{\sqrt{1-\cos A}}{2}\bigg)^2[/tex]
[tex]\text{Expand Binomial:}\quad 1-2\bigg(\dfrac{1+\cos A}{4}-\dfrac{2\sqrt{1-\cos^2 A}}{4}+\dfrac{1-\cos A}{4}\bigg)\\\\\text{Simplify:}\qquad \qquad \quad 1-2\bigg(\dfrac{2-2\sqrt{1-\cos^2 A}}{4}\bigg)\\\\\text{Pythagorean Identity:}\quad 1-\dfrac{1}{2}\bigg(2-2\sqrt{\sin^2 A}\bigg)\\\\\text{Simplify:}\qquad \qquad \qquad 1-\dfrac{1}{2}(2-2\sin A)\\\\\text{Distribute:}\qquad \qquad \qquad 1-(1-\sin A)\\\\.\qquad \qquad \qquad \qquad \quad =1-1+\sin A\\\\\text{Simplify:}\qquad \qquad \qquad \sin A[/tex]
RHS = LHS: sin A = sin A [tex]\checkmark[/tex]