Answer:
22
Step-by-step explanation:
We know that AC = 2 * AB so we can write:
12x - 4 = 2(5/2 x + 12)
12x - 4 = 5x + 24
7x = 28
x = 4
Since AB = BC the answer is 5/2 * 4 + 12 = 22.
Mr. Harrison grades his test on a scale of 1 to 10. The dot plots below show the grades for his first test and the last test of the year. Pic below What is the difference between the means of the scores for the two tests?
Answer:
a
Step-by-step explanation:
====================================================
Work Shown:
F = first test data set
F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}
m = mean of set F
m = (sum of values in set F)/(number of values in set F)
m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25
m = 199/25
m = 7.96
----------
L = last test data set
L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}
n = mean of set L
n = (sum of values in set L)/(number of values in set L)
n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25
n = 177/25
n = 7.08
----------
d = difference in means
d = m - n
d = 7.96 - 7.08
d = 0.88
Scott earns $16.85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471.80 b. $943.60 c. $1,415.40 d. $1,887.20
Answer:
D
Step-by-step explanation:
(0, 4), (-5, 8), (4, -2), what is the range?
Answer:
range={ -2,4,8}Explanation:
Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
Sonya took a total of 12 quizzes over the course of 4 weeks. After attending 5 weeks of school this semester, how many quizzes will Sonya have taken in total?
Answer:
Sonya wouldve taken 15 quizzes over the course of 5 weeks
Step-by-step explanation:
First, you divide 12 by four to get the number of quizzes that she does in one week
12/4=3
Next, you multiply 5 by 3 to see how many quizzes she completes in 5 weeks.
5*3=15
Sonya completes 15 quizzes over the course of 5 weeks.
Answer:
Sonya will have taken 27 quizzes.
Step-by-step explanation:
12 divided by 3 is 4.
5 times 3 is 15.
12 + 15 = 27
Answer is 27 quizzes.
Hope that helps and maybe earns a brainliest!
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem. Write the inequality and show all work to solve the inequality. Graph the solution to your inequality on a number line. Explain what your solution means in the context of the problem.
Answer:
5x +3y>-15
5(0)+3(0)
0+0= 0 > -15
Step by step explanation
We have to create a scenario that leads to an inequality of the form ax + b > c.
Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.
The required inequality is
Subtract 20 from both sides.
Divide both sides by 10.
It means the number of rides must be greater than 8.
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5. Pls help ASAP btw, the answer isn’t -12/19 or 12/19
Answer:
[tex]B - A = -6[/tex]
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
[tex]x + 3y = -5[/tex]
Subtract x from both sides
[tex]x - x + 3y = -5 - x[/tex]
[tex]3y = -5 - x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}[/tex]
[tex]y = -\frac{5}{3} - \frac{x}{3}[/tex]
The slope of the line is the coefficient of x
Slope = [tex]- \frac{1}{3}[/tex]
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of [tex]- \frac{1}{3}[/tex]
Having calculated the slope, next is to calculate the equation of the line using the following formula;
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where m is the slope; m = [tex]- \frac{1}{3}[/tex]; [tex](x_1, y_1) = (-7,2)[/tex]
Substitute these values in the formula above; the formula becomes
[tex]-\frac{1}{3} = \frac{y - 2}{x - -7}[/tex]
[tex]-\frac{1}{3} = \frac{y - 2}{x +7}[/tex]
Cross Multiply
[tex]-1(x+7) = 3(y-2)[/tex]
Open brackets
[tex]-x - 7 = 3y - 6[/tex]
Add x to both sides
[tex]x - x - 7 = 3y - 6 + x[/tex]
[tex]-7 = 3y - 6 +x[/tex]
Add 6 to both sides
[tex]-7 + 6 = 3y -6 + 6 + x[/tex]
[tex]-1 = 3y + x[/tex]
Multipby both sides by -3
[tex]-3(-1) = -3(3y + x)[/tex]
[tex]3 = -9y - 3x[/tex]
[tex]-9y - 3x = 3[/tex]
[tex]-3x - 9y = 3[/tex]
Comparing the above to Ax + By = 3
[tex]Ax = -3x\\A = -3[/tex]
[tex]By = -9y\\B = -9[/tex]
[tex]B - A = -9 - (-3)[/tex]
[tex]B - A = -9 + 3[/tex]
[tex]B - A = -6[/tex]
There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?
Answer:
idk
Step-by-step explanation:
I'm going to do some deep research to find the answer. One sec
Answer:
There are 5 groundhogs and 10 crows.
Step-by-step explanation:
Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,
4x+2y=40
- x+ y=15
--------------------
3x+y=25.
Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.
Q. 22. A closet of towels contains exactly 10 white towels. The probability of choosing a
2
white towel from the closet is How many of the towels in the closet are not white?
5
Answer:
Step-by-step explanation:
its 2/5
The total of the towels in the closet are not white is 15.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given:
10 white towels
The probabailty P( choosing a white towel) = 2/5.
To find the total number of towels in the closet:
2/5x = 10
Divide both sides by 2/5:
2/5x · (5/2) = 10 · (5/2)
x = 25.
Now Subtract the number of white towels from the total to find the number non-white towels:
25 - 10 = 15 towels.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
Create your own factorable polynomial with a GCF. Rewrite that polynomial in two other equivalent
forms. Explain how each form was created. (10 points)
For example: 2x2 + 6x + 4 has a GCF of 2 since all values are divisible by 2.
So one form can be created by factoring out 2:
2 (2x2 + 3x + 2)
Then the second form can be created by factoring x2 + 3x + 2:
2 (x + 2) (x + 1).
Be sure to create your own example, do not look one up online.
Answer:
Step-by-step explanation:
2x^2+10x+12 greatest common factor is 2
2(x^2+5x+6)=
2(x+2)(x+3)
What is the slope of the line shown below?
Answer:
m = 5/8
Step-by-step explanation:
2 - (-3)
The slope is m = rise / run = ------------- = 5/8
6 - (-2)
Answer:
The answer is 5/8
Step-by-step explanation.
The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.
Which of the following is the quadratic parent function?
O A. Fx) = x2
O B. AX) = x+1
O c. Fix) = 2x
O D. Ax) = x
Answer:
Answer: Option A F(x)=
Explanation:
Quadratic function is the function which has degree two
Degree is the highest power of a polynomial
In option B we have |x| in which degree is one hence, discarded
In option C we have in which degree is three hence, discarded
In option D we have x which is a linear function being of degree one. Hence, discarded.
PLEASE HELP! Tamara knows that the arithmetic mean of her five quiz scores is 95%. However, she has misplaced one of these quizzes. The ones she can find have scores of 100%, 100%, 99% and 98%. What is her score on the misplaced quiz?
Help me please it’s due tomorrow
Answer:
567.4 cm
Step-by-step explanation:
I am assuming we are solving for x.
In that case, 2(2x - 6) + 2(x + 3) = 4533
4x - 12 + 4x + 6 = 4533
4x + 4x = 4533 + 12 - 6
8x = 4539
x = 567.4 cm
Answer: If finding x, answer would be 567.4
Step-by-step explanation:
2(2x - 6) + 2(x + 3) = 4533
4x - 12 + 4x + 6 = 4533
4x + 4x = 4533 + 12 - 6
8x = 4539
4539 divided by 8= 567.4
Therefore, x = 567.4 cm
hope it helped :)
Replace ? with =, >, or < to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2
Answer:
>
Step-by-step explanation:
On the left side, we divide first: 12/4=3
On the left side, we get 3+13, which equals 16.
On the right side, we also divide first: 22/2=11
On the right side, we get 11+2, which equals 13.
We know that 16 is larger than 13, so
12 ÷ 4 + 13 > 2 + 22 ÷ 2
Hope this helps!
Answer:
>
Step-by-step explanation:
WILL MARK BRAINLIEST!!! Find and post a picture of a number line with a whole dot on 7 and shading to the left
Answer:
7, with shaded dot (I hope this helps you)
Explanation:
This graph shows how much Marie earns babysitting, compared with the number of hours she works. Select the correct statement about the graph. A. for each hour she works , her earnings go up by $10 B. for each dollar she earns, the number of hours she works goes up by 10. C. for each hour she works, her earnings go up by $5 D. for every 5 hours she works, her earnings go up by $1
Step-by-step explanation:
for each hour she works , her earnings go up by $10
The first one is the correct answer, because the slope of the line is
$(60-0)/(6.0 hours)
= 60/6 $/hour
=10 $/hour.
Answer:$10 .per hour
Step-by-step explanation:
PLEASE HELP ASAP!!! *problems attached
In the diagram above, which two red lines are parallel?
A.
GK | KG
B.
C.
D.
FL | GK
Answer: D. FL | GK
Step-by-step explanation:
Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.
What is the volume of a cylinder with a height of 17 cm and a base radius of 7 cm to the nearest 10th
Answer:
Step-by-step explanation:
volume =πr²h=π×7²×17≈2616.9 cm³
The volume of a cylinder is 2616.95 cubic centimeters.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The height of the cylinder h = 17 cm
Base radius of the cylinder r = 7 cm
We know the volume of a cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
[tex]\rm V = \pi\times 7^2\times17[/tex]
V = 833π cubic centimeters
V = 833×3.141592
V = 2616.94668 cubic centimeters or
V = 2616.95 cubic centimeters.
Thus, the volume of a cylinder is 2616.95 cubic centimeters.
Learn more about the volume here:
https://brainly.com/question/16788902
Given that (-1,7) is on the graph of f(x), find the corresponding point for the function f(x+3)
Answer:
(-4,7)
Step-by-step explanation:
Given
A point on f(x) = (-1,7)
Required
Find the coordinates of f(x+3)
The given parameter can be rewritten as
[tex]f(-1) = 7[/tex]
We're to solve for [tex]f(x+3)[/tex]
By comparing [tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
The expressions in the bracket implies that
[tex]-1 = x + 3[/tex]
Subtract 3 from both sides
[tex]-1 - 3 = x + 3 - 3[/tex]
[tex]-1 - 3 = x[/tex]
[tex]-4 = x[/tex]
[tex]x = -4[/tex]
Stil comparing
[tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
If f(-1) = f(x + 3) then
[tex]f(x +3)= 7[/tex]
Hence, the coordinates of f(x+3) is (-4,7)
Which diagram is NOT a good model of 2 ÷ 18? Math item response image Math item response image Math item response image (I don't know how to paste the images.) PLEASE ANSWER ASAP!! Thanks!!
Answer:
when you wrote question there will be pin sign then you will attach any image easily
Step-by-step explanation:
Answer:
Its the triangle one
Step-by-step explanation:
Just count them and you will see there are only 7 not 8 :)
PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
HI HELP!!!!! If you are the first to figure it out i will give you the Brainlyist I promise . 6 piles of marbles are arranged in a triangle pattern. Each side of the triangle has a total of 9 marbles. Add 1 more marble to one of the piles, so that the total number of marbles on each side remains 9. You are allowed to move the marbles but not take any out.
Answer:
The key is to move 1 marble from 1 corner to a side. For example, move 1 marble from pile A to pile B. The bottom side of the triangle only has 8 marbles left. Add 1 marble to pile C, all 3 sides still have 9 marbles.
Step-by-step explanation:
Which number added to a rational number will always result in an irrational number?
Answer:
The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.
Step-by-step explanation:
Which equation has only one solution?
|x - 5= -1
|-6 - 2x1 = 8
5x+ 10 = 10
|-6x + 31 = 0
Answer:
5x + 10 = 10
Step-by-step explanation:
5x + 10 = 10
5x = 10 - 10
5x = 0
x = 0/5
x = 0
Only one solution.
Which points are 19 units apart?
0 (-14, 12) and (5, 12)
0 (-5, 19) and (-12, 19)
0 (-20, 5) and (1,5)
O (14, 12) and (5, 12)
Answer:
Third option
Step-by-step explanation:
Plot the following (-20,5) , (1,5)
[tex]20 - 1 = 19[/tex]
Or you can just count the units from (-20,5) to (1,5) which is a 19 unit difference, remember that units is per square. The answer is the third option.
Hope this helps.
Answer:
It is the first option: (-14, 12) and (5, 12).
Step-by-step explanation:
Because the x-values are -14 and 5, and 5 - (-14) is 19, whereas the y-values stay the same. So the points (-14, 12) and (5, 12) are 19 units apart. You can also graph this and count the units from -14 to 5.
CAN SOMEONE PLEASE HELP I WILL GIVE MORE POINTS AND BRAINLIEST.
Answer:
The answer is A
Step-by-step explanation:
Process of elimination. None of the others make sense.
Answer:
x = 2 or x = -4
Step-by-step explanation:
Solve for x over the real numbers:
-x^2 - 2 x + 8 = 0
Multiply both sides by -1:
x^2 + 2 x - 8 = 0
Add 8 to both sides:
x^2 + 2 x = 8
Add 1 to both sides:
x^2 + 2 x + 1 = 9
Write the left hand side as a square:
(x + 1)^2 = 9
Take the square root of both sides:
x + 1 = 3 or x + 1 = -3
Subtract 1 from both sides:
x = 2 or x + 1 = -3
Subtract 1 from both sides:
Answer: x = 2 or x = -4
Simplify (3x^2)^3
Please help
Answer:
27x^6
Step-by-step explanation:
For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. PLEASE HELP :(
Answer:
Let's denote:
The event of driving while using a cell phone: A
The event of having a traffic accident: B
The event of driving while using a cell phone and having a traffic accident: A⋂B
P(A) = 11% = 0.11
P(B) = 5.26% = 0.526
P(A⋂B) = 28% = 0.28
If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:
P(A) x P(B) = P(A⋂B)
Let's check:
P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28
=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)