Answer:
1. 24
2. 4.444... (or 4 rounded to the nearest whole number)
Step-by-step explanation:
1. 80/100 = x/30
cross-multiply
100 × x = 100x
80 × 30 = 2400
divide
100x/100 = x
2400/100 = 24
answer
x = 24
2. 90/100 = 4/x
cross-multiply
90 × x = 90x
100 × 4 = 400
divide
90x/90 = x
400/90 = 4.444...
answer
x = 4.444...
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
General equation of line:
[tex]{ \bf{y = mx + c}}[/tex]
Find y-intercept:
[tex]{ \tt{ - 1 = ( - 3 \times 10) + c}} \\ { \tt{c = 29}}[/tex]
Equation of line:
[tex]{ \bf{y = - 3x + 29}}[/tex]
Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.
Answer:
Exact heights of the next 100 babies born in a region.
Step-by-step explanation:
A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.
In a tram, 12% of the passengers go without a ticket. What can be the largest number of passangers in the tram, if its not greater than 60
45 POINTS
How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?
Answer:
✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.
Step-by-step explanation:
Hope this helps~ ;D
Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?
Answer:
3/8
Step-by-step explanation:
We can write the entire book with the number 1. Now we can write this operation
3/8 + 1/4 + x = 1
3 + 2 + 8x = 8
5 + 8x = 8
8x = 3
x = 3/8
What is the constant of variation k of the direct variation y=KP through (-3, 2)
Answer:
isisis
Step-by-step explanation:
ISO’s
Answer:
-2/3
Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.
Help please :) Whoever helps and gets answer correct gets Brainliest!
Answer:
1/8 is the slope
Step-by-step explanation:
Answer:
slope = 8
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{1}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 26) and (x₂, y₂ ) = (2, 34) ← 2 ordered pairs from the table
m = [tex]\frac{34-26}{2-1}[/tex] = [tex]\frac{8}{1}[/tex] = 8
A scale drawing of a square desk is ¼ inch to 1 foot. The actual desk is 50 feet wide. What is the area of the desk in the model?
156.25 in2
40000 in2
625 in2
10000 in2
Answer:
Step-by-step explanation:
Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?
Answer:
B
Step-by-step explanation:
an = a+(n-1)d
an=13+(n-1)14
d=14
21. Gabe Amodeo, a nuclear physicist, needs 80 liters of a 30% acid solution. He currently has a 20% solution and a 60%
solution. How many liters of each does he need make the needed 80 liters of 30% acid solution?
Gabe needs
liters of the 20% solution.
He also needs
liters of the 60% solution.
Let x be the amount (in liters) of 20% solution that Gabe uses, and y the amount (also in L) of the 60% solution.
He needs 80 L of 30% solution, so that
x + y = 80
0.20x + 0.60y = 0.30 (80) = 24
Solve for y in terms of x :
y = 80 - x
Substitute this into the second equation and solve for x :
0.20x + 0.60 (80 - x) = 24
0.20x + 48 - 0.60x = 24
24 = 0.40x
x = 60
Solve for y :
y = 80 - 60
y = 20
...............................................................
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
5x – 4y = -4
Answer:
[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]
Step-by-step explanation:
We are given the equation of a line and asked to put it into slope-intercept form.
Slope-intercept form is:
[tex]y=mx+b[/tex]
Where:
m= slope b= y-interceptIn order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.
[tex]5x-4y= -4[/tex]
5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.
[tex]5x-5x-4y=-4-5x[/tex]
[tex]-4y=-4-5x[/tex]
The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.
[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]
[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]
[tex]y=1+\frac{5}{4}x[/tex]
Rearrange the equation.
[tex]y= \frac{5}{4}x+1[/tex]
The fractions are completely simplified, so this is our final answer.
The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].
The slope is 5/4 and the y-intercept is 1.
what is proportion as applied in mathematics
Answer:
como se siente el actor al presentar la obra hola
Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)
Answer:
Step-by-step explanation:
The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.
Answer:
1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.
2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.
3)Certain problems arise with self reporting of distances, such as recording error or poor recall.
Step-by-step explanation:
1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.
2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.
3)Certain problems arise with self reporting of distances, such as recording error or poor recall.
Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.
Red car: y = 3 x + 5. Blue car: y = 4 x.
How many solutions should Sudhanshu find?
zero
one
two
infinite
Answer:
One
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSolving systems of equations
Step-by-step explanation:
Step 1: Define
Identify systems
y = 3x + 5
y = 4x
Step 2: Solve
If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.
∴ the systems should have only one solution.
Answer:
B
Step-by-step explanation:
Find the area of the triangle which the line 2x – 3y +6=0 forms with the coordinate axis.
2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.
That means the 2 sides of the right triangle are 2 and -3
Area of triangle= 1/2×base×height
= 1/2×-3×2
=-3
∴ Area of the triangle=-3
The area of the asked triangle is 3 sq units.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.
When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3
Hence, the height and base of the triangle will be 2 and 3 respectively.
Area of a triangle = 1/2 (base) (height)
Area = 1/2 (2)(3)
Area = 3
Hence, the area of the asked triangle is 3 sq units.
Learn more about areas, click;
https://brainly.com/question/27683633
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2-[6÷2+{6×1/2+(7/2-3/2)}]
Answer:
-6
Step-by-step explanation:
2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =
Follow the correct order of operations.
Do one step at a time and copy everything else each time, so you don't lose track of any operation.
= 2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]
= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]
= 2 - [6 ÷ 2 + {3 + 2}]
= 2 - [6 ÷ 2 + 5]
= 2 - [3 + 5]
= 2 - 8
= -6
Answer:
-6
hope this helps
Step-by-step explanation:
2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first
(7/2-3/2)=2
2-(6÷2+(6×1/2+2))
6×1/2+2
6×1/2=3
3+2=5
2-(6÷2+5)
6÷2=3
3+5=8
2-8
=-6
You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?
Answer: 25.6 servings (partial serving) / 25 servings (whole serving)
Step-by-step explanation:
Concepts:
As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.
1 quart = 4 cups
Solve:
Step one: Convert quarts into cups
1 quart = 4 cups8 quarts = 4 × 8 = 32 cupsStep two: Divide the cups to find the number of servings
32 cups / 1.25 cups = 25.6 servings**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.
Hope this helps!! :)
Please let me know if you have any questions
Find m These questions getting hard
Answer:
the
Step-by-step explanation:
it's fairly easy actually. You just have to use sin
Function: g(x) = 2x2 - 8
Answer:
f(x)= √ 1 2 x + 4 For x ≤ 0
Step-by-step explanation:
please help, will give brainliest!!!
Answer:
f^-1(x) = sqrt(x+4)
Step-by-step explanation:
y = x^2 -4
Exchange x and y
x = y^2 -4
Add 4 to each side
x+4 = y^2
Take the square root of each side
sqrt(x+4) = y
f^-1(x) = sqrt(x+4)
Answer:
f^-1(x) = sqrt(x+4)
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 15y = 135
Answer:
y=3/5x-9
Step-by-step explanation:
9x – 15y = 135
Subtract 9x from each side
9x -9x – 15y =-9x+ 135
-15y = -9x +135
Divide each side by -15
-15y/-15 = -9x/-15 +135/-15
y=3/5x-9
Morgan puts $3,200 into an investment account that earns compound
interest at a rate of 0.6% per month. Calculate the accumulated amount in
Morgan's account at the end of the 15th month.
Answer:
3500.416
Step-by-step explanation:
Compound interest formula
A = A0(1 + r/n)^nt
3200(1 + 0.6%)^15
3200(1 + 0.006)^15
3200(1.006)^15
Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection
C. Dilation.
Dilation can resize the image.
Translation will shift the imagine's position but won't change its actual size.
Rotation will mangle with image's orientation but also won't change its size.
Reflection is just a type of rotation which as established, also won't change its size.
Hope this helps.
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y=1/4x
Step-by-step explanation:
Just did the math ;D
SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 82% confidence interval to 25 points, how many students should the administrator sample
Answer:
The appropriate solution is "259".
Step-by-step explanation:
According to the question,
[tex]\sigma = 300[/tex]
[tex]M.E=25[/tex]
At 82% CI,
[tex]\alpha = 0.18[/tex]
Critical value,
[tex]Z_c=1.341[/tex]
Now,
The sample size will be:
⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]
By substituting the values, we get
[tex]=(1.341\times \frac{300}{25} )^2[/tex]
[tex]=(1.341\times 12)^2[/tex]
[tex]=259[/tex]
Subtract 7 pounds 3 ounces from 10 pounds
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!! THIS IS NOT A TEST OR AN ASSESSMENT!!! Please help me answer these questions. Chapter 12 part 1
1. What is a recursive formula?
2. What is a factorial?
3. What is the relationship between sequences, series and sigma notation?
Answer:
1. What is a recursive formula?
A recursive formula is a formula that defines each term of a sequence using preceding terms of the sequence.
2. What is a factorial?
factorial the product of all positive integers less than or equal to n:
3. What is the relationship between sequences, series and sigma notation?
A series can be represented in a sigma notation.
A series can be represented in a sigma notation.A series is a sum of a sequence of terms.
Someone help please
66 because you have to solve the problem next time
