Mathematics High School

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the quotient of y and two is equal to eight subtracted from twice y

Answers

Answer 1
The quotient means division. So we have one part of the equation. 
y/2 (sorry, the variable thing doesn't work)
Then we know there is an equal mark and the other equation would be 2y-8 because y is multiplied two times and it is subtracted by eight. And then it says it is equal to, so we hate the final equation: y/2=2y-8.
Thank you for the points! Hope I helped!

Related Questions

The scatter plot shows how many desks and computers were found in 12 diffirent offices. how many offices had fewer than 5 desks

Answers

There are 5 offices with fewer than 5 desks.
You can see this by simply counting how many points are to the left of the 5 on the X (desks) axis

Answer:

5 offices had fewer than 5 desks

Step-by-step explanation:

Clearly from the scatter plot we could see that 5 offices have lesser than 5 desks.

The number of desks are represented by the horizontal axis and the number of computers are represented by the vertical axis.

so by looking at the scatter plot we could see that the five points are before 5 on the horizontal axis i.e. we have to count all those points such that the desk are less than 5 i.e. ( when the desks are 0,1,2,3 and 4).


What is the expression x - 4 represents a negative integer. What integers could X represent?

Answers

The expression x-4 will come out to be a negative integer. That means X has to be something that when 4 is taken away from it, the answer is still negative.

Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.

X can be anything less than 4. 

Answer:

Integers between (-∞, 4)

Step-by-step explanation:

Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.

The expression x - 4 will be negative if x is less than 4.

For Example, if we take integers greater than 4 or equal to 4 as the value of x then,

5 - 4 = +1 which is not a negative integer

4 - 4 = 0 which is again not a negative integer.

But, if we take x as less than 4 then we get,

2 - 4 = -2 i.e. negative integer

-3 - 4 = -7 i.e. also negative integer.

So, for all value of x which is less than 4, we will get a negative integer.

An investment club used funds totaling $200,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 11% and 16% annual simple interest, respectively. Their hunch paid off. The club made a total of $26,000 interest the first year. How much was invested at each rate? $ at 11% = $ at 16% =

Answers

Set the equation
0.11x+0.16 (200000-x)=26000
Solve the equation for x
0.11x+32000-0.16x=26000
0.11x-0.16x=26000-32000
-0.05x=-6000
X=6000÷0.05
X=120000 invested at 11%

200000-120000=80000 invested at 16%

Hope it helps!

Consider the following data set: 3, 4, 6, 7, 9, 9, 11. Identify a number you could add to the set to keep the mean smaller than the median.

Answers

The mean is simply the average of the data set. 

Mean = (3+4+6+7+9+9+11)/7 = 7

The median, on the other hand, is the middle data when you arrange them from least to greatest. The middle data here is 7. 

Hence, initially, the mean and median are equal. In order to make the mean less than median, add another data point which makes it the lowest. For example, we can add 1 as the new data point. The mean would be:

Mean = (1+3+4+6+7+9+9+11)/8 = 6.25

The median is (6+7)/2 = 6.5

Therefore, you can add any number less than 3. For example, that could be 1.
You take to two numbers in the middle and add then (2+4) and that equals 6 so that is your mean. then you take you 6 and then you divide it by 2 (6/2) and that equals, 3 and that is the median.

Evaluate the expression for the given values. mx−y when m=2, x=7, and y=5 Enter your answer in the box.

Answers

hello : 
 when m=2, x=7, and y=5
mx -y = 2(7) -5 = 9

A museum has a wax sculpture of a historical village. The scale is 1.5:8. If the height of a hut in the sculpture is 5 feet, how tall is the original hut to the nearest whole foot?

Answers

Let us say that x is the real height of the original hut, therefore we can establish the equation:

5 : x = 1.5 : 8

5 / x = 1.5 / 8

 

Solving for x:

x = 5 * 8 / 1.5

x = 40 / 1.5

x = 26.67 ft

Find all the points on the curve y = 4x^4 − 8x^2 + 16x + 7 such that the tangent line to the curve is parallel to the line 16x − y + 5 = 0.

Answers

hello : 
the tangent has same slope of the line 16x -y +5 = 0  because parallel.
y = 16x + 5 
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
the points : A(0,7)  , B(1 , 19) , c ( -1 , -13)

What is the area of the rectangle?
 


60 units²

66 units²

70 units²

74 units²








Answers

Thanks for the pic. I calculated the sides using pythagorean formula. I counted the boxes and found the a's and b'so. Came up with short side being √37 and the larger side √148.
A=lw
A=√37 x √148
A=√5476
A=74 units ^2

You actually get 2 solutions but area is positive.
Final answer:

The question does not provide enough specifics to calculate the area of the rectangle. Generally, you find a rectangle's area by multiplying its length by its width.

Explanation:

Unfortunately, the question seems to have provided the potential answers for the area of the rectangle, but no specifics about the rectangle itself are given. Typically, you would find the area of a rectangle by multiplying the length by the width. For example, if a rectangle had a length of 10 units and a width of 7 units, you would calculate the area by multiplying together these two figures (10 units * 7 units), which equals 70 units².

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How exactly would I have to check my work for -x^2 = -36? The answer is 6 right?

Answers

To check your work, plug in 6 and see if it works. It does!

But, -6 also works. If you plug it in, it also works.

Hope this helps!

Andy deposited $1,567.12 in a savings account that earns 1.9% simple interest. What will Andy's account balance be in nine months? How would i solve this?

Answers

1567.12 * (1+(1.9/100))^9 = 1856.39

Hope this helps! :)

How many segments have the midpoint (2, -3).Explain your reasoning.

Answers

Final answer:

An infinite number of line segments can have the midpoint (2, -3) in the coordinate plane, because you can have infinite pairs of points such that their midpoint is (2, -3).

Explanation:

In the coordinate plane, an infinite number of line segments can have the midpoint (2, -3). The reasoning behind this is that a midpoint is the point that is equidistant from the end points of a line segment. You can have infinite pairs of points in a coordinate plane such that their midpoint is (2, -3). For instance, the points (4, -1) and (0, -5) have the midpoint (2, -3), and so do the points (2, 7) and (2, -13). This can similarly be done for an infinite number of other sets of points.

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The answer is that there are infinitely many line segments that have the midpoint (2, -3).

A midpoint of a line segment is the point that divides the segment into two equal parts.

Let's consider a Cartesian coordinate system where the midpoint is given as (2, -3).

Any line segment with the midpoint (2, -3) would have a segment bisecting it.

So, it's not just one line segment that has this midpoint, but an infinite number of line segments.

To explain this, consider any line segment in the coordinate plane.

point A : one side of the midpoint point B: the other side.

The midpoint of AB will always be (2, -3) if the segment is positioned such that it's equally distant from (2, -3).

We can slide and rotate this line segment around the midpoint (2, -3) while keeping it the same length, and the midpoint will always remain (2, -3).

So, the answer is that there are infinitely many line segments that have the midpoint (2, -3).

Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
A. 18 weeks
B. 12 weeks
C. 14 weeks
D. 15 weeks

Answers

Hello! So to solve this problem, we will first have to add 2 deposits of $40 in his bank account. Then, we can take away $65 from that amount, and leave him with $15 left in 2 weeks. Then, we can add 10 weeks of $40 for $400, and get $415 in the bank in 12 weeks. Then, you can add an extra $80 from the last 2 weeks to finally reach $495. It will take Steven 14 weeks to be able to pay back his sister and the bike. The answer is C: 14 weeks.

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. What is the maximum number of boxes that he may stack on top of one another?

Answers

The maximum number of boxes that may be stacked on top of one another is 5 boxes. Note that the questions asks how many boxes can be stacked ON TOP of one another, not how many can fit in the storage room. Further, the boxes cannot be manipulated to change their height. Thus, to find the answer we only need 2 of the measurements given: the height of the boxes and the height of the storage unit. The height of the box is 2 3/8 feet, which can be written as 2.375 feet. The height of the storage unit is 12 feet. Simply dividing the height of the storage unit by the height of the boxes give us: 12/2.375=5.052631... Thus the maximum number of number of boxes that can be stacked is 5.

How many twentieths are in five halves

Answers

Let's create that into a math equation

How many=x
twentieth=1/20
are in= =
five halves= 5/2

1/20x = 5/2
[tex] \frac{1}{20}x= \frac{5}{2} [/tex]5/2
First we must get rid of the denominator. Find the LCD.
[tex] 20\left[\begin{array}{ccc} \frac{1}{20}x= \frac{5}{2} \end{array}\right] [/tex]

x=50
To check, plug 50 into the original equation.
[tex] \frac{50}{20}= \frac{5}{2} [/tex]
So it checks out.

There are 20 twentieths in five halves. This conversion is achieved by first converting halves to tenths (5 halves = 10 tenths) and then further converting tenths to twentieths by doubling the numerator, resulting in 20 twentieths in total.

To determine how many twentieths are in five halves, we need to convert both fractions to a common denominator. Since twentieths have a denominator of 20 and halves have a denominator of 2, we can make them compatible by expressing halves as tenths (which have a denominator of 10) and then further converting them to twentieths.

First, we can rewrite five halves as ten tenths (5/2 = 10/10). Now, we need to express tenths as twentieths, which is done by doubling the numerator. So, 10 tenths are equivalent to 20 twentieths.

Therefore, there are 20 twentieths in five halves.

In summary, when converting from halves to twentieths, we first turn halves into tenths by multiplying by 10, and then we further convert tenths to twentieths by doubling the numerator. Thus, five halves equal 20 twentieths.]

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What is the value of the expression 4x+y2y−x when x = 2 and y = 4? a. 2 b. 3 c.4 d.6

Answers

Final answer:

By substituting the values x=2 and y=4 into the given equation, we get a result of 70 which does not match with any of the provided options.

Explanation:

The value of the expression 4x + y-2y−x when x = 2 and y = 4 can be determined by substituting these values into the expression. By doing so, we get:

4 * 2 + 4^2 * 4 - 2 = 8 + 64 - 2 = 70

So, the correct value is 70, which is not present in the provided options (a. 2 b. 3 c.4 d.6). Maybe there is a misunderstanding or typo in the question or options. The way it's presented right now, the correct answer would be none of the above.

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What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25} 25 27.8 45 46 49

Answers

45 because that is the most repeated number
{41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25, 25 27.8, 45, 46, 49}

1st Rewrite from smaller to greater:

3,11,12,19,22,23,24,25,25,27,27.8,29,41,43,45,45,45,46,49,49

The mode is the frequency of a data point or the most repeated data point.
Then the mode is 45 (repeated 3 times)

|4v-16|=12 solve for v

Answers

4v-16= 12
4v= 28
v=7

4v-16=-12
4v=4
v=1

Final answer: v=1, v=7

99 POINTS ,Correct answer
If the parent function is f(x) = x3, which transformed function is shown in the graph?


g(x) = (x − 3)3



g(x) = (x + 3)3



g(x) = x3 + 3



g(x) = x3 − 3

Answers

Answer:


Step-by-step explanation:

from the graph, y=0 when x=3

so that eliminates:

g(x) = (x + 3)3

g(x) = x3 + 3

g(x) = x3 − 3

ans is g(x) = (x-3)^3


Answer:

g(x) = (x - 3)3

Step-by-step explanation:

Compare to the parent function of f(x) = x3, the displayed graph is shifted to the "left" by 3 units so it is a translation in the x-direction.

The answer is g(x) = (x - 3)3


The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?

Answers

There are 52 men SO 52+ 39 = 91 SO there are 91 total employees

You see a flash of lightning striking some distance away, and five seconds later you hear the clap of thunder. how many miles away did the lightning strike? round your answer to the nearest mile

Answers

There is about 1129 feet per second on the speed of sound in the stormy day.

Find the distance in feet:

1129 * 5 = 5645 ft

Change to miles: 1 mile is equal to 5280 foot

5645 / 5280 = 1 mile

Which two expressions are used to solve this problem?



Elliot has 97 beads. He keeps 25 beads and gives an equal number of beads to each of 8 friends. How many beads did Elliot give to each friend?



Choose exactly two answers that are correct.



A.


25 × 8


B.


72 ÷ 8


C.


97 + 25


D.


97 – 25

Answers

Your first equation would be (97-25)/8
Then, your equation is 72/8
The answers are D and B!

Hope this helps!

The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

Answers

Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that you have enough money to travel at most 20 miles.

The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.

Domain = {x: 0 ≤ x ≤ 20}

The range of a function is the set of the possible values of the function.

For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8

Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.

Therefore, range = {y: 2.8 ≤ y ≤ 72.8}

Answer:   Domain=   0[tex]\leq[/tex]x[tex]\leq[/tex]20

                Range=  2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8

Step-by-step explanation:

CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh

Line AB contains points A (-1,3) and B (5,3). Line AB has a slope that is

Answers

The slope is zero because we can see that the y values of both points do not change.
You need to know the slope formula which is : Y2-Y1 over X2-X1
And then plug it in

Use the interactive tool to graph the line given the following information:     coordinates (1,–3)     slope of –2 Based on your investigation, what is the value of b for the point (0,b)?

Answers

The line can be written in the form y=mx+b. Plugging -2 in for m , 1 in for x, and -3 in for y, we get -3=-2*1+b=-2+b. Adding 2 to both sides, we get b=-1 and our equation turns into y=-2x-1 since y and x stay variables. Plugging it into a graphing calculator, we get in (0,b) that b = -1

Finding the equation of the line, it is found that the value of b is -1.

----------------------------

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

----------------------------

Slope of -2 means that [tex]m = -2[/tex], and thus, [tex]y = -2x + b[/tex].It goes through point (1,-3), which means that when [tex]x = 1, y = -3[/tex]. We use this to find b.

[tex]y = -2x + b[/tex]

[tex]-3 = -2(1) + b[/tex]

[tex]b = -3 + 2 = -1[/tex]

The value of b is -1.

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Which type of statement switches and negates the hypothesis and the conclusion of the original conditional statement?

Question 1 options:

Converse


Inverse


Contrapositive


Biconditional

Answers

Inverse

Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.

Which graph represents the solution set of the system of inequalities?

{y>−2x−2
y ≤ x+4

Answers

Answer:

Its the first gragh

Step-by-step explanation:

Graph D is a correct choice.

We have a set of inequalities -

y > − 2x − 2

y ≤ x + 4

We have select the graph that represents the solution set of the system of inequalities.

What is an Inequality in mathematics ?

An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

y > − 2x − 2

Let →   y = -2x - 2

Now, plot the graph of the line → y = - 2x - 2 with a Dotted line ( > is a strict inequality).

Assume a point (0,0) -

0 > - 2 x 0 - 2

0 > -2

Which is true, hence shade the area where the point (0, 0) lies.

y ≤ x + 4

Let →   y = x + 4

Now, plot the graph of the line → y = x + 4 on the graph.

Assume a point (0,0) -

0 ≤ 0 + 4

0 ≤ 4

Which is true, hence shade the area where the point (0, 0) lies.

Refer to the image attached for final graph - the area under the Red thick line is common to both and is the solution set of  system of inequalities.

Hence, Graph D is a correct choice.

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Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apart are Harry and Selma when they stop?

Answers

When they stop, the point from the origin to where Harry is to where Selma is forms a right triangle, where the distance between the two people is equal to the hypotenuse.
Use the pythagorean formula to find the length of the hypotenuse.

42^2+144^2=c^2
22500=c^2
150=c

Final answer: 150 miles

write the expression in factored form. 81m^2-49

Answers

We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!

Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

summation of the quantity negative eight plus five n from n equals zero to fifteen

summation of negative forty times n from n equals zero to infinity

summation of negative forty times n from n equals zero to fifteen

summation of the quantity negative eight plus five n from n equals zero to infinity

Answers

-8 - 3 + 2 + 7 + ... + 67     hmm... so the first term's value is -8.  If you notice, it went from -8, to -3 and then +2 and so on.... you can always get the "common difference" d by simply getting the difference of two terms, so d = +2 -(- 3)  ----> d = +2+3  ----> d = 5.

now.. the last value is 67.. but what term is that anyway?

well, let's use the arithmetic sequence equation to see who that is.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-8\\ d=5\\ a_n=67 \end{cases} \\\\\\ a_n=-8+(n-1)5\implies 67=-8+(n-1)5 \\\\\\ 67=-8+5n-5\implies 67=-13+5n\implies 80=5n \\\\\\ \cfrac{80}{5}=n\implies \boxed{16=n}[/tex]

so, is the 16th term  alrite.. .hmmm, so it begins with -8, then keeps on adding 5 16 times

[tex]\bf \sum\limits_{n=1}^{16}~-8+(n-1)5\implies \sum\limits_{n=1}^{16}~5n-13[/tex]

both forms are the same, so.. hmm it depends on how simplified you need it.

Final answer:

Explanation of summation notation using examples and patterns for different expressions.

Explanation:

Summation notation:

First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.

Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).

Third sum: The sum is Σ(-40n) from n = 0 to 15.

Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.

$48 increase by 25%

Answers

48 * 1.25
60

Hope this helps!
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