.5s+1=7+4.5s solve for s
Answer:
The answer is [tex]s = - \frac{3}{2}[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Subtract [tex]4.5s[/tex] from [tex]0.5s[/tex] :
[tex]0.5s + 1 -4.5s = 7 + 4.5s -4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract both sides by [tex]1[/tex] :
[tex]-4s + 1 - 1 = 7 -1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, therefore, the final answer is [tex]s = -\frac{3}{2}[/tex] .
Find the solution set.
(x - 5)(x-5) = 0
Answer:
x = 5
Step-by-step explanation:
Steps to solve:
(x - 5)(x - 5) = 0
~Set both factors to equal 0
x - 5 = 0
x - 5 = 0
~Solve for x
x - 5 = 0
x - 5 + 5 = 0 + 5
x = 5
We only solved for one factor since they are both the same and the x value for both are also the same.
Best of Luck!
A circle has a sector with area (3/2) pi and central angle of 60°.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].
Step-by-step explanation:
Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:
[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].
In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:
[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].
In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.
The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?
Answer:
what is the nth day?
Step-by-step explanation:
Answer:
A
Step-by-step explanation: an=1.25(an-1-16);a1=64
:)
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.
Answer:
1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y = [tex]\frac{x}{0.85}[/tex]
y = 220 - [tex]\frac{x}{0.85}[/tex]
Now convert this equation into a function.
[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
I need help finding the slope and y-Intercept
Answer:
You Do y= mx+b
Step-by-step explanation:
Answer:
y-intercept is 2 because line passes through (0,2) and the slope is 3.
The equation of this line is y=3x+2.
May someone please help me
hi buddy i can help you with this
Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"
Thanks :)
Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.
Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.
Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.
Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.
In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
Answer:
[tex]805\frac{8}{10}[/tex]
Step-by-step explanation:
[tex]805\frac{8}{10}[/tex]
The bottom of the conyon to ses level plus sea level to the bird nest.
First you add 82+723
And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]
[tex]\frac{5}{10} +\frac{3}{10}[/tex]
I really need help with this :((
Answer:
Step-by-step explanation
The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.
5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]
[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]
[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]
easy geometric shapes question #6 help please!
Answer:
it will gemetry and get 15
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
7532 Question 1 of 7 The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?
Answer:
x stands for the number of cars washed with the supplies.
Step-by-step explanation:
Given;
Profit equation; y = 4x - 45
Price of supplies = $45
Amount received per car wahed = $4
From the equation given, we can notice that the higher the value of x the higher the profit generated.
Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.
x stands for the number of cars washed with the supplies.
For example, if we wash 15 cars. x = 15
y = 4(15) - 45 = 60 - 45
y = $15
Andre’s father is 8 years more than twice Andre’s age, a. The sum of their ages is 53, how old Andre?
Answer:
15 years old
Step-by-step explanation:
The equation would be
8x + 2x + x = 53
3x = 45
x = 15
What is the volume of this rectangular prism?
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?
Answer:
d: 1/2
Step-by-step explanation:
Answer:D. 1/2 c
Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.
What is the area of the triangle below?
Answer:l think it's 6
Step-by-step explanation:
You 1/2×4×3
=6
Here are two steps from the derivation of the quadratic formula (picture included)
what took place between the first step and the second step?
A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides
The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
The derivation of quadratic formula.Mathematically, the quadratic formula can be derived as follows:
x² + b/ax +c/a = 0
x² + b/ax = -c/a
x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]
(x + b/2a)² = b²/4a² - c/a
x + b/2a = √(b²/4a² - c/a)
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.
Read more on quadratic equation here: https://brainly.com/question/4053652
#SPJ1
Answer: THE CORRECT ANSWER IS Factoring a perfect square trinomial
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please Help!!!
Answer:
C=62 maybe
Step-by-step explanation:
3x=x+20
-x -x
2x=20
divide by 2
x=10
2*10=20+38=58
10+20=30
3*10=30
30+30=60+58=118
180-118=62
3(5x – 10) < 30x solve for x
Answer:
x>-1.25
Step-by-step explanation:
3(5x-10)<30x
15x-20<30x
-20<15x
-20/15<x
-1.25<x
x>-1.25
Step-by-step explanation:
Step 1: Distribute
[tex]3(5x - 10) < 30x[/tex]
[tex](3 * 5x) + (3 * -10) < 30x[/tex]
[tex]15x - 30 < 30x[/tex]
Step 2: Subtract 15x from both sides
[tex]15x - 15x - 30 < 30x - 15x[/tex]
[tex]-30 < 15x[/tex]
Step 3: Divide both sides by 15
[tex]-30 / 15 < 15x / 15[/tex]
[tex]-2 < x[/tex]
Answer: [tex]x > -2[/tex]
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
Which expression is equivalent to 6 Superscript 4 times 6 cubed?
A. (6 times 6 times 6 times 6) + (6 times 6 times 6)
B. (6 + 6 + 6 + 6) times (6 + 6 + 6)
C. (6 times 6 times 6 times 6) times (6 times 6 times 6)
D. (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6)
I know the answer, I just didn't find it anywhere, so I'm putting it here
(I did find one, but the answers for it weren't right and no comments were right)
The answer is C. (6*6*6*6)*(6*6*6)
Answer:
The answer is C.
(6 times 6 times 6 times 6 times) times (6 times 6 times 6)
(6 * 6 * 6 * 6) * (6 * 6 * 6)
(6 × 6 × 6 × 6) × (6 × 6 ×6)
(6^4) × (6^3)
someone pls help this is due today
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=[tex]\pi[/tex](20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
IM SO DUMB I NEED HELP
Answer:
[tex]76.0m^2[/tex] (you have to have the .0 since it says to round to the nearest tenth)
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
[tex]A=2(wl+hl+hw)[/tex]
So just plug in the values.
Height= 4
Width=2
Length=5
[tex]A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2[/tex]
2) Which of the following is the quadratic
equation in standard form?
-b+ Vb2 - 4ac
A) X=
B) y=alr - h)? +k
2a
C) y=ax+bx+c D) y = ax + bx+c
Answer:
a
Step-by-step explanation:
its a because i looked it up and it said a
please help! i dont get this
ANSWER: D.180
EXPLANATION: A straight angle is 180 degrees
A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
