Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
What is the domain and the range for this graph
Answer:
Domain:(0,infinite)
Range:(5,infinite)
Step-by-step explanation:
Answer:
D = 0, 1, 2, 3, 4, 5
R = 20, 40, 80, 160
which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]
Answer:
A
Step-by-step explanation:
because a is 139cm and child is 139 cm not 830000 or not 1.48
Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table.
Using the probability concept, the correct option regarding who is more likely to brush both in the morning and in the evening is:
B. Arabella. She has a 0.64 probability of brushing both times.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering that the events are independent, we just multiply the probabilities, hence the probability of each brushing both times is given as follows:
Braxton: 0.85 x 0.72 = 0.612.Arabella: 0.79 x 0.81 = 0.64.Hence statement B is correct, as 0.64 > 0.612.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Prove that DE is parallel to BC.
Please help, will award brainliest.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes are equal then DE and BC are parallel lines
Type the correct answer in the box. Round your answer to the nearest hundredth.
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is
if you add 55% and 45% the total is 100% so 45/100 are girls. 35% of the girls scored and A so 35/45 is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.
ethansledd17 come here! what is 300 divided by 5?
Answer:
60
Step-by-step explanation:
Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2
Answer:
6x^2+10x-6=0
Step-by-step explanation:
First, you need to add all like terms:
6x^2+8x-6=-2x
Now move the -2x to the other side:
6x^2+10x-6=0
Answer:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x^2+8*x-6-(2-2*x-2)=0
Step by step solution :
STEP 1 :
The Equation at the end of step 1
(((2•3x2) + 8x) - 6) - -2x = 0
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
6x2 + 10x - 6 = 2 • (3x2 + 5x - 3)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 5x - 3
The first term is, 3x2 its coefficient is 3.
The middle term is, +5x its coefficient is 5.
The last term, "the constant", is -3
Step-1: Multiply the coefficient of the first term by the constant 3 • -3 = -9
Step-2: Find two factors of -9 whose sum equals the coefficient of the middle term, which is 5.
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
The Equation at the end of step 3 :
2 • (3x2 + 5x - 3) = 0
STEP 4 :
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Parabola, Finding the Vertex:
4.2 Find the Vertex of y = 3x2+5x-3
Parabolas have the highest or lowest point called the Vertex. Our parabola opens up and accordingly has the lowest point (AKA absolute minimum). We know this even before plotting "y" because the coefficient of the first term, 3, is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.
Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.
For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by -B/(2A). In our case, the x coordinate is -0.8333
Plugging into the parabola formula -0.8333 for x we can calculate the y -coordinate :
y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0
or y = -5.083
Parabola, Graphing Vertex, and X-Intercepts :
Root plot for : y = 3x2+5x-3
Axis of Symmetry (dashed) {x}={-0.83}
Vertex at {x,y} = {-0.83,-5.08}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.14, 0.00}
Root 2 at {x,y} = { 0.47, 0.00}
Solve Quadratic Equation by Completing The Square
4.3 Solving 3x2+5x-3 = 0 by Completing The Square.
Divide both sides of the equation by 3 to have 1 as the coefficient of the first term :
x2+(5/3)x-1 = 0
Add 1 to both side of the equation :
x2+(5/3)x = 1
Now the clever bit: Take the coefficient of x, which is 5/3, divide by two, giving 5/6, and finally square it giving 25/36
Add 25/36 to both sides of the equation :
On the right-hand side we have :
1 + 25/36 or, (1/1)+(25/36)
The common denominator of the two fractions is 36 Adding (36/36)+(25/36) gives 61/36
So adding to both sides we finally get :
x2+(5/3)x+(25/36) = 61/36
Adding 25/36 has completed the left-hand side into a perfect square :
x2+(5/3)x+(25/36) =
(x+(5/6)) • (x+(5/6)) =
(x+(5/6))2
Things which are equal to the same thing are also equal to one another. Since
x2+(5/3)x+(25/36) = 61/36 and
x2+(5/3)x+(25/36) = (x+(5/6))2
then, according to the law of transitivity,
(x+(5/6))2 = 61/36
We'll refer to this Equation as Eq. #4.3.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(5/6))2 is
(x+(5/6))2/2 =
(x+(5/6))1 =
x+(5/6)
Now, applying the Square Root Principle to Eq. #4.3.1 we get:
x+(5/6) = √ 61/36
Subtract 5/6 from both sides to obtain:
x = -5/6 + √ 61/36
Since a square root has two values, one positive and the other negative
x2 + (5/3)x - 1 = 0
has two solutions:
x = -5/6 + √ 61/36
or
x = -5/6 - √ 61/36
Note that √ 61/36 can be written as
√ 61 / √ 36 which is √ 61 / 6
Solve Quadratic Equation using the Quadratic Formula
4.4 Solving 3x2+5x-3 = 0 by the Quadratic Formula.
According to the Quadratic Formula, x, the solution for Ax2+Bx+C = 0, where A, B, and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = 5
C = -3
Accordingly, B2 - 4AC =
25 - (-36) =
61
Applying the quadratic formula :
-5 ± √ 61
x = —————
6
√ 61, rounded to 4 decimal digits, is 7.8102
So now we are looking at:
x = ( -5 ± 7.810 ) / 6
Two real solutions:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)
someone pls help and dont troll
Answer: A
Step-by-step explanation:
2x + 9 = 15
2x = 6
x = 3
2x+9 = -15
2x = -24
x = -12
[
1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9
Simplify the expression:
–3(9 − x) =
Answer:
Expand [tex]-3(9-x): -27 + 3x[/tex]
Step-by-step explanation:
[tex]-3(9-x)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a = -3, b=9, c=x[/tex]
[tex]=-3*9-(-3)x[/tex]
Apply minus - plus rules:
[tex]-(-a)=a[/tex]
[tex]= -3*9+3x[/tex]
Multiply the numbers: [tex]3 * 9 = 27[/tex]
[tex]=-27+3x[/tex]
Hope this helps! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
Write the equation of each line in slope-intercept form.
Answer:
-4/2x+3 or if you simplyfy it will be -2x+3
Step-by-step explanation:
Answer:
[tex]y = -\frac{1}{2}x + 3[/tex]
without using mathematical tables or calculators, evaluate 0.09 * 1.21 / 3.3 * 0.00024 leaving your answer in standard form(scientific notation)
Answer:
Step-by-step explanation:
[tex]0.09* \frac{1.21}{3.3}*0.00024= 0.09 * \frac{1.21*10}{3.3*10}*0.00024\\\\=0.09*\frac{12.1}{33}*0.00024\\\\= 0.09 * \frac{1.1}{3}*0.00024\\\\= 0.09 * 1.1 * 0.00008[/tex]
= 0.00000792
= 7.92 * [tex]10^{-6}[/tex]
I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
its the same as the other angle on there
Answer:
15
Step-by-step explanation:
They are alternate exterior angles, meaning they are the same!!
Solve each triangle using the information provided. If necessary, round to the
nearest tenth.
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)I hope this helps you with the other 3 questions.
The number of students attending the seventh-grade class trip is 4 times the number of teachers attending.
What is the ratio of teachers to students attending the class trip?
Answer:
1:4
Step-by-step explanation:
1 would be the teachers
times 4 would be the students
Answer: 1:4 or 2:16
It can be either answer because the ratios are multiplied with that but it can be divided enough to be 1:4 so any answer would be right if you multiply the ratio by 4
3x - 5y - z + 13
pls show your work
3x-5y-z+13.
it is simplified all the way there is nothing to add
A company that makes hair-care products had 9,000 people try the new shampoo. Of the 9,000 people, 36 had a mild allergic reaction. Wht percent of the people had a mild mild allergic reaction?
Answer:
0.4% of the people had a mild allergic reaction.
Step-by-step explanation:
You can find the percent of the people that had a mild allergic reaction using a rule of three as you know that 9,000 people tried the new shampoo which would be the 100% and you can find the percent that represents 36 people:
9,000 → 100%
36 → x
x=(36*100)/9,000
x=0.4%
According to this, the answer is that 0.4% of the people had a mild allergic reaction.
Find the distance between the two points in simplest radical form.
(8, -3) (6, -8)
Answer:
[tex]d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (8, -3)
Point (6, -8)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(6-8)^2+(-8+3)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{4+25}[/tex]Add: [tex]d = \sqrt{29}[/tex]What is the circumference of a circle
with radius 64 inches? Write your answer
using PI.
Answer:
C≈402.12in
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
Answer:
y=x+5/12
good luck...
WILL GET 15 POINTS AND MARKED BRAINLINESt
1. Create your own expression that contains at least one operation and one variable.
example: 5x
2. Describe a situation that your expression can model.
example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x
Answer:
4x+5
Step-by-step explanation:
4x represents making 4 dollars per hour and 5 represent the amount of money you began with
Answer:
1) 2x
2) x represent how many candy a person have
2 is the amount of person
The total candy canbe modeled by 2x
Step-by-step explanation:
b) The circumference of a circular field is 220 m.
(i) Find its diameter and radius.
(ii) Find the cost of paving stones all over it at Rs 25 per sq. m.
Answer:
sorry I don't know 2...
But first I can tell....
Step-by-step explanation:
circumference = 220m
To Find :- It's diameter and it's radius...
Solution:-
circumference of circle = 2*pi*r
pi=22/7
220 = 2*22/7*r
220 = 44r/7
220*7 = 44r
1540 = 44r
r = 1540/44
r = 35m....
d = 35*2
d = 70m...
Hence, Diameter of circular field is 70m and radius is 35m
Solve for x -1/2x < -12
Answer:
x < 24
Step-by-step explanation:
-1/2x < -12
1) Isolate x!
-1/2x < -12
×-2 ×-2
x < 24
Divide 389ten by 44 ten
find the length of the missing of the missing triangle. Round your answer to the nearest tenth. Show your work
Answer:
17.32 cm
6.21 cm
Step-by-step explanation:
a^2+b^2=c^2
a^2+22^2=28^2
a^2=300
6^2+4^2=c^2
c=6.21
Hopefully this helps!
Can someone please help me with my homework !
Answer:
Nah ;)
Step-by-step explanation:
pls help Solve for m. -7+4m+10=15-2m
Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]-7+4m+10=15-2m[/tex]
Isolate the variable m. Combine like terms (-7+10):
[tex]3+4m=15-2m[/tex]
Subtract 3 from both sides (inverse operations):
[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]
Add 2m to both sides (inverse operations):
[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]
Divide both sides by 6 to isolate m (inverse operations):
[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]
Since this cannot be further simplified, m is equal to 2.
:Done
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
What is the equation of the line with a slope of 2 through (–4, 6) in point-slope form?