Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)
Step-by-step explanation:
6y+12+12+3y
=9y+24
=3(3y+8)
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answer:
1200 millimeters
Step-by-step explanation:
Someone please help me. ASAP
Answer:
z = -7.5
Step-by-step explanation:
3.5z -2.7z = -6
Combine like terms
.8z = -6
Divide each side by .8
.8z/.8 = -6/.8
z = -7.5
Answer:
z= 12 over 47
Step-by-step explanation:
first you have to collect like terms..then that will get you -23.5z=-6 then divide both sides by -23.5z..then you should get your answer
The student government-collected data on club membership by grade level. Data on club membership are summarized in the table shown below.
Grade Level Club Membership No Club Membership Total
9 125 250 375
10 165 155 320
11 201 101 302
12 206 69 275
Total 697 575 1272
a.no, bc P(Club Membership) not equal to P(12)
b. no, bc P(Club Membership/Grade 12) not equal to P( Club Membership)
c.yes because P(Grade 12)= P(Club Membership)
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Answer:
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Step-by-step explanation:
Plz help me I’m stuck on this question!!!!!
Answer:
It's the one with only one line.
Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.
At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Step-by-step explanation:
For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:
[tex] y = mx +b[/tex]
We have the following info given:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Answer:
Step-by-step explanation:
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 94 , 60 ) and ( x₂ , y₂) = ( 96,66) .
y₂ - y ₁ 66 - 60 6
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 96 - 94 2
Slope , m = 6/2 = 3 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 3 x + b .
To find value of b , we put ( 94 , 60 ) in place of x and y .
Put x = 94 and y = 60 , we get
60 = 3 * 94 + b
60 = 282 + b
60 - 282 = b
- 222 = b
Thus we get b = - 222 .
So the equation become
y = 3 x - 222 .
Equation in slope intercept form representing the situation isy = 3 x - 222What is the greatest common factor (GCF) of the terms in the polynomial 5y3−25y2+10y?
Answer: 5y
Step-by-step explanation:
[tex]5y^3-25y^2+10y\\5y(y^2-5y+2)[/tex]
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
What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2
Answer:it’s 31.7 cm^2
Step-by-step explanation:
The approximate area of the shaded sector is 31.7 cm² (Option A).
To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.
The formula to find the area of a sector is given by:
Area of sector = (θ/360) * π * r²
where θ is the central angle and r is the radius of the circle.
In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.
Let's calculate the area of the shaded sector:
θ = 30 degrees
r = 11 cm
Area of sector = (30/360) * π * 11²
= (1/12) * π * 121
= π * 10.0833...
Now, we can approximate the value of π as 3.14:
Area of sector ≈ 3.14 * 10.0833...
≈ 31.7 cm²
Therefore, the approximate area of the shaded sector is 31.7 cm².
The correct option from the given choices is A. 31.7 cm².
To know more about sector, refer here:
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Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?
Answer:
Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.
Step-by-step explanation:
Complete Question
Mr. Anderson has 4 recipes for granola. Recipe 1
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.
Recipe 2
A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.
Recipe 3
A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.
Recipe 4
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.
Which recipe has the greatest ratio of honey to oats?
Solution
Computing the ratio of honey to oats for each of recipes
Recipe 1
Honey | 5 | 10 | 15
Oats | 2 | 4 | 6
Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.
Recipe 2
Honey | 6 | 10 | 14
Oats | 3 | 5 | 7
Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.
Recipe 3
Honey | 3 | 6 | 9
Oats | 1 | 2 | 3
Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.
Recipe 4
Honey | 8 | 10 | 12
Oats | 4 | 5 | 6
Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.
Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.
Hope this Helps!!!
Answer: Recipe 3
Step-by-step explanation:
There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students if there are a total of 221 students in the seventh grade how many are in each of the equally sized math classes I need an equation and an answer
pls help me figure this out thanks
Answer:
7√3
Step-by-step explanation:
tan 60 = v/7
√3 = v/7
v=7√3
Answer:
[tex]4 \sqrt{5 \\ } [/tex]
£ represents 29 students in class
B represents students who have a brother
S represents students who have a sister
a) One student from the class is chosen at random. What is the probability that the student has a sister?
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
Answer:
a) One student from the class is chosen at random. What is the probability that the student has a sister?
S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
BS/£²
Step-by-step explanation:
In the question, we are given the following values:
£ represents 29 students in class = Total number of students in the class.
B represents students who have a brother
S represents students who have a sister
The formula for probability = Number of events ÷ Number of possible outcomes.
a) One student from the class is chosen at random. What is the probability that the student has a sister?
Number of events = Number of students that have a sister = S
Number of possible outcomes = £ represents 29 students in class
The probability that the student has a sister = S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
This is calculated as
The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.
Number of students that have a brother = B
Number of students that have a sister = S
The Probability of Students that have a brother and a sister = B/£ × S/£
= BS/£²
Answer:
a) 14/29
b) 4/11
Step-by-step explanation:
You forgot to add the Venn diagram
7+4+2x+X+3 =29
14 +3x= 29
3x = 15
X = 5
2*5=10
10+4=14
5+3=8
14/29
I hope this helps you :D
Have a good day
Complete 8 for 15 points.
Answer:
756 is evenly divisible by 2, 3, 4, 6, and 9.
Step-by-step explanation:
756 is evenly distributed by the numbers (above).
756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
8/15
Step-by-step explanation:
this is another answer, if you get these numbers
1. Calculate the slope between the two points (2,5) and (-3,-4).
To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”
So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.
Remember, a negative divided by a negative is a positive.
Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?
A 5-column table with 2 rows. Column 1 has entries H, H. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries H 2, H 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries H 4, H 4.
A 5-column table with 2 rows. Column 1 has entries T, T. Column 2 is labeled 1 with entries T 1, T 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries T 3, T 3. Column 5 is labeled 4 with entries T 4, T 4.
A 5-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries T 4, T 4.
A 5-column table with 2 rows. Column 1 has entries T, H. Column 2 is labeled 1 with entries T 1, H 1. Column 3 is labeled 2 with entries T 2, H 2. Column 4 is labeled 3 with entries T 3, H 3. Column 5 is labeled 4 with entries T 4, H 4.
Answer:
{H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8
Step-by-step explanation:
Answer:
H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4 I think
Step-by-step explanation:
Simplify (√3 − √7)^2
Answer: 10 - 2√21
Step-by-step explanation: I simplified your question by using an online calculator. :)
Write an equation for the line in slope-intercept form.
y = 1/2 x -3
Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3
Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim? She is incorrect; the histogram is skewed to the left because more data is on the left side. She is incorrect; the histogram is skewed to the left because there is more data on the right side. She is incorrect; the histogram is symmetrical because the right side is equal to the left side. She is correct; the histogram is skewed to the right because there is less data on the right side.
Answer:
D. She is correct; the histogram is skewed to the right because there is less data on the right side.
Step-by-step explanation:
I just did it on edge
Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.
How can you spot a skewed graph?
A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).
Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.
She is correct; the histogram is skewed to the right because there is fewer data on the right side.
Hence, option D is correct.
To learn more about skewed distribution, refer:
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Someone please help me. ASAP
Answer:
x = 6
Step-by-step explanation:
we both know you dont wanna know how you just want the answer
The product of a number, x , and 18 113.4. Which equation and value of x represent this relationship
Answer:
The answer is..
18 = x (113.4)
x = 95.4
Step-by-step explanation:
The equation 18x = 113.4 represents the sentence " the product of a number, x, and 18 113.4." and the solution of the equation is the value of variable x is 6.29.
What is Algebra?Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.
The given statement is "the product of a number, x, and 18 is 113.4"
According to the given question, translate the phrase into an algebraic form :
This relationship can be represented by the equation 18x = 113.4.
To find the value of x, we can solve this equation by dividing both sides by 18, which gives us x = 113.4/18 = 6.29.
Thus, the required equation is 18x = 113.4
To learn more about the Algebra link is given below.
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what’s a negative about plus a positive
Answer:
Step-by-step explanation:
when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
Jamal and Cleo mow lawns together, Jamal can mow an average lawn in 60 minutes by
himself. Cleo would take 90 minutes for the same job. How long would it take both of
them together to mow one (1) lawn
Find the area of the kite
Answer:
32m2
Step-by-step explanation:
find one triangle.
A=1/2×base×height
1/2×8×3= 12m2
1/2×8×5= 20m,2
12+20=32m2
Judith went shopping with $50 and spend $45. What percentage of her money did she spend?
Answer:
90%
Step-by-step explanation:
The percentage that she spent is the money spent over the total
45/50 *2/2
90/100
Percent means out of 100
90%
Answer:
She spent 90% of her money.
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
8. θ = -25°
9. θ = -390°
Answer:
8. -385°, 335°
9. -30°, 330°
Step-by-step explanation:
8. θ = -25°
-25-360 = -385°
-25+360 = 335°
9. θ = -390°
-390+360 = -30°
-30+360 = 330°
What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9
Answer:
It would fall between 6 and 7
Step-by-step explanation:
Handy Dandy Grocery is having a sale this week. If you buy a 5−pound bag of apples for the regular price, you can get another bag for $1.59. If you buy a 5−pound bag of oranges for the regular price, you can get another bag for $2.59. Handy Dandy Grocery Regular price 5−pound bag of apples 2.99 5−pound bag of oranges 3.99 Part 1 out of 2 Enter an addition equation to find the discount for apples. Use a for apples. Which fruit has a greater discount?
Answer:
apples have greater discount
Step-by-step explanation:
This is a proportional relation given by;
For apples, it's;
1.59/2.99 = x/100
Where x is the amount the second bag of apples cost in relation to the first, so:
x = 1.59 * 100/2.99
x = 53.18
So,let's now find the discount of the second bag of apples from;
Discount = 100 - 49.83 = 50.17% discount
Similarly, for oranges;
2.59/3.99 = x/100
x = 2.59 * 100/3.99
x = 64.91
So,let's now find the discount of the second bag of oranges from;
Discount = 100 - 64.91 = 35.09%
Since apples have discount of 50.17% and oranges have discount of 35.09%, thus apples have greater discount
