John scored 48, 59, and 62 points. His average score was 60%. What was the last score to make it average?

91
26
78
71

Answer:

x=2 and y=5

Step-by-step explanation:

Given:

cost of Album= $10

cost of singles= $1

condition 1 :  She wants to purchase at least 5 singles

condition 2: she wants to spend no more than $25 total

Brandi purchases x albums and y singles, then combination of albums and singles that Brandi could purchase and stay within her guidelines=?

Cost of x albums= $10x

Cost of y singles= $1y

Applying condition 1, we get:

y≥5  ---------equation i

Applying condition 2, we get:

10x+y≤25   ---------equation ii

Solving the above two equation i and ii we get:

x=2 and y=5

So the possible combination of albums and singles that Brandi could purchase and stay within her guidelines is

10(2) + 5 =25 !

Answer:

After how many seconds does it explode? 4 sec

At what height does it explode? 256ft

Step-by-step explanation:

The question simply asks us to find the vertex of the parabola mentioned.

Given equation : h = -16t² + 128t

Lets break this down. The equation is in its standard form : ax² + bx + c

Hence,

a = -16

b = 128

c = 0

Find the vertex when a standard form is given:

( -b/2a , f(-b/2a) )

(-128/-32, f( -128/-32 ))

(4,f( 4 ))

f(4) = -16(4)² + 128(4)

f(4) = -256 + 512

f(4) = 256

Vertex = (4,256)

After how many seconds does it explode? 4 sec

At what height does it explode? 256ft

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

[tex](y-k)=a(x-h)^{2}[/tex]

we have

the vertex is the point (5,-4)

substitute

[tex](y+4)=a(x-5)^{2}[/tex]

The y-intercept is the point (0,96)

substitute and solve for a

[tex](96+4)=a(0-5)^{2}[/tex]

[tex]100=a(25)[/tex]

[tex]a=100/25=4[/tex]

The equation of the vertical parabola is equal to

[tex](y+4)=4(x-5)^{2}[/tex]

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

[tex]4=4(x-5)^{2}[/tex]

Simplify

[tex]1=(x-5)^{2}[/tex]

Rewrite

[tex](x-5)^{2}=1[/tex]

square root both sides

[tex](x-5)=(+/-)1[/tex]

[tex]x=(+/-)1+5[/tex]

[tex]x=(+)1+5=6[/tex]

[tex]x=(-)1+5=4[/tex]

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

ANSWER

[tex]x =\frac{3}{ 2}[/tex]

EXPLANATION

The given equation is

[tex]y + 3x - 6 = - 3(x - 2)^{2} + 4[/tex]

Expand the parenthesis:

[tex]y + 3x - 6 = - 3( {x}^{2} - 4x + 4) + 4[/tex]

[tex]y + 3x - 6 = - 3 {x}^{2} + 12x + - 12 + 4[/tex]

Write in standard form:

[tex]y = - 3 {x}^{2} + 12x - 3x+ - 12 + 4 + 6[/tex]

[tex]y = - 3 {x}^{2} + 9x-2[/tex]

where

[tex]a=-3,b=9,c=-2[/tex]

The axis of symmetry is given by the formula:

[tex]x = - \frac{b}{2a} [/tex]

Plug the values to get:

[tex]x = - \frac{9}{ 2(- 3)} [/tex]

[tex]x =\frac{3}{ 2}[/tex]

The equation of axis of symmetry is

[tex]x =\frac{3}{ 2}[/tex]

Answer:

the answer is A on edgen

Step-by-step explanation:

Answer:

Yes, B is correct

Step-by-step explanation:

substitute values of x

B is correct,

y-4=4/3(x-2)

= y-4 = 4/3x-8/3

= y=4/3x-8/3+4

= y= 4/3x-3/3

y= 4/3

0=4/3+4/3x

-4/3= 4/3x

= x = -1

R; all quadratic functions are going to have *ALL REAL NUMBERS*.

The paddle wheel takes approximately 967 seconds to complete 100 full revolutions.

To calculate the time it takes for the paddle wheel to complete 100 full revolutions, we need to determine the distance traveled by the fins and divide it by their speed. The diameter of the paddle wheel is given as 4 feet, so the radius is half the diameter, or 2 feet. The distance traveled by one fin along the outer edge is equal to the circumference of a circle, which is 2π times the radius. In this case, the distance is 2π * 2 feet, or approximately 12.57 feet.

Since we want to find the time it takes for 100 full revolutions, we need to multiply the distance traveled by one fin by 100. So the total distance is 12.57 feet * 100, which equals 1257 feet.

Now we can divide the total distance by the speed of the fins to find the time it takes. The speed is given as 1.3 feet per second, so the time is 1257 feet divided by 1.3 feet per second, which is approximately 967 seconds. Rounding to the nearest second, it takes the paddle wheel approximately 967 seconds to complete 100 full revolutions.

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The paddle wheel takes approximately 392 seconds to complete 100 full revolutions.

To find the time it takes for the paddle wheel to complete 100 full revolutions, we need to calculate the circumference of the wheel and divide it by the speed at the outer edge.

The circumference of the wheel is the diameter (4 feet) times π. So, the circumference is 4π feet.

Dividing the circumference by the speed of the fins (1.3 feet per second) gives us the time it takes for one revolution. To find the time for 100 revolutions, we multiply this time by 100 and round to the nearest second.

Therefore, the paddle wheel takes approximately 392 seconds to complete 100 full revolutions.

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Like $45.95 I think I’m sorry if you get it. Wrong

The question is based on exponential growth, the worker will be earning an hourly wage of $10.00 after approximately 5.9 years of receiving a 4% annual raise.

The subject of this problem is exponential growth, which is based on the formula y = a(1 + r)^t, where a is the initial amount, r is the rate of growth (expressed as a decimal), and t is the time period. In this case, your initial wage (a) is $7.95 per hour and the rate of growth (r) is 4% or 0.04. The future wage (y) is $10.00 per hour. So, the equation becomes:
10 = 7.95 * (1.04 ^t).
To solve for 't', you first divide both sides by 7.95 to isolate (1.04 ^t) on one side, resulting in 1.26 = (1.04 ^t).
You then take the natural logarithm (log base e, also represented as 'ln') of both sides of the equation to eliminate the exponential, resulting in ln(1.26) = t * ln(1.04).
Finally, you divide both sides by ln(1.04) to solve for 't', resulting in an approximate value of 't' as 5.9 years.
Therefore, the worker will be earning $10.00 per hour approximately after 5.9 years.

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Answer:

j = -9/14

Step-by-step explanation:

-4(7j + 2) = 10

-28j - 8 = 10

-28j = 18

j = -18/28

j = -9/14

Answer:

Whenever two supposedly independent variables are highly correlated, it will be difficult to assess their relative importance in determining some dependent variable. The higher the correlation between independent variables the greater the sampling error of the partials.

Step-by-step explanation:

The number with two digits wich sum of digits is 8 is 35.

To find the numbers that meet the condition of adding 8 and the unit of tens being two numbers greater than the other we must:

Identify numbers that add up to 8, for example:

Subsequently, we identify the sum in which one number has a value of two greater than the other.

Finally we organize the number with the required conditions:

According to the above, the number is 35.

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the ones digit is 5, and the tens digit is 5 - 2, which is 3. So the 2-digit number is 35.

The question requires us to find a 2-digit number where the tens digit is two less than the ones digit and the sum of the digits is 8. To figure this out, let's call the ones digit 'x'. Since the tens digit is two less than the ones digit, the tens digit would be 'x - 2'. The sum of these two digits equals 8, so we can write the equation:

x + (x - 2) = 8

Solving for x gives us:

2x - 2 = 8

2x = 8 + 2

2x = 10

x = 10 / 2

x = 5

Therefore, the ones digit is 5, and the tens digit is 5 - 2, which is 3. So the 2-digit number is 35.

The probability of drawing the coin labeled '1' from a bag containing coins labeled '1', '2', and '3' is 1/3, or roughly 0.333. This represents a 33.3% chance.

The question is asking you to calculate the probability of drawing the coin labeled '1' in one draw from a bag of three coins, each labeled '1', '2', or '3'. In probability, we define an event's likelihood as the number of ways that event can occur divided by the total number of possible outcomes.

Here, the event we're interested in is picking the coin labeled '1'. Since there is only one coin labeled '1', there is just one way this event can occur. The total number of possible outcomes is defined by the number of coins in the bag, which is 3 – the coins labeled '1', '2', and '3'.

Therefore, the probability of drawing the coin labeled '1' is calculated as 1/3, or roughly 0.333 when rounded to three decimal places. That means there is approximately a 33.3% chance that the coin labeled '1' will be the next drawn from the bag.

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Answer:

1510 vehicles

Step-by-step explanation:

First you need to determine how many feet cars and trucks occupy.

In 5 miles:

Cars fill up 80%     = 0.80 x 5 miles = 4 miles

Trucks fill up 20%  = 0.20 x 5 miles = 1 mile

Because we know the lengths and distances of the cars and trucks in feet, let's convert the miles they cover into feet.

Cars = 4 miles x 5280 ft/mile = 21,120 ft

Trucks = 1 mile x 5280 ft/mile =  5280 ft

So how many cars would there be if they covered at least 21,120 ft?

Considering that there is 3 ft between each car and a car has a length of 13.5 ft, a single car will cover 16.5 ft.

To see how many cars then fit in 21,120 ft, just divide it by the distance one car covers.

[tex]\dfrac{21,120ft}{16.5 ft/car} = 1,280 cars[/tex]

So how many trucks would there be if they covered at least 5,280 ft?

A truck is 20 ft long and again there is a space of 3 ft in between. So we add that up to see how many feet a single truck needs.

20 ft + 3 ft = 23 ft

We then take that total and divide the feet covered by trucks.

[tex]\dfrac{5,280ft}{23ft/truck}= 229.57 trucks[/tex]

Since we cannot have half a truck, we round that off to the nearest whole number which will be 230 trucks.

So we add the number of trucks and cars to get the number of vehicles in total:

1280 + 230 = 1,510 vehicles

Answer:

60 degrees

Step-by-step explanation:

Since all sides of the triangle are congruent and the angles of a triangle add to 180 degrees, divide 180 by 3 sides and you get 60 degrees.

Answer:

60°

Step-by-step explanation:

Since the sides have all got the "equal" sign, all the angles must be the same.

Angles in a triangle add up to 180°.

From this, we can set up an equation ⇔ y + y + y = 180°

⇒ y + y + y = 180°

( Simplify )

⇒ 3 y = 180°

( Divide both sides by 3 to isolate y )

y = 60°

Answer:

[tex]\$11.13[/tex]

Step-by-step explanation:

step 1

Find the surface area of the cylinder

The surface area of the cylinder is equal to

[tex]SA=\pi r^{2} +2\pi rh[/tex]

we have

[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter

[tex]h=5\ in[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}[/tex]

Find the cost

[tex]54.165*(0.75)=\$40.62[/tex]

step 2

Find the surface area of the square prism

The surface area of the prism is equal to

[tex]SA=b^{2} +4bh[/tex]

we have

[tex]b=3\ in\\ h=5\ in[/tex]

substitute

[tex]SA=(3)^{2} +4(3)(5)=69\ in^{2}[/tex]

Find the cost

[tex]69*(0.75)=\$51.75[/tex]

step 3

Find the difference of costs

[tex]\$51.75-\$40.62=\$11.13[/tex]

Answer:

13. B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.

14. A) 1/2.

How this helps you! (:

-Hamilton1757

Answer:

13. Option 1

14. Option 2 : 1/4

Step-by-step explanation:

13. First option is correct.

If two marbles are drawn from a bag without replacement then the second event will depend upon the first event i.e. the occurrence of first event will affect the occurrence of second event.

14. If two coins are tossed, the outcomes are

S = {HH, HT, TH, TT}

There is only one outcome that favors the given scenario i.e. first coin showing heads and second showing tails.

So, probability of showing heads first and then second showing tails = 1/4

So second option is correct..

the correct answer is (4.8)

Answer:

2(x−2)(x+3)

Step-by-step explanation:

2x^2+2x−12

=2(x−2)(x+3)

2(x-2)(x+3) is your answer :)

Answer:

x = 5

Step-by-step explanation:

To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:

3(x+1)=7(x-2)-3 becomes...

3x + 3 = 7x - 14 - 3

3x + 3 = 7x -17

Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides

3x + 3 - 3x + 17 = 7x -17 + 17 - 3x

20 = 4x

If we isolate x alone we have:

20/4 = x or x = 5

Answer:

Step-by-step explanation:

[tex]3(x+1)=7(x-2)-3\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(1)=(7)(x)+(7)(-2)-3\\\\3x+3=7x-14-3\qquad\text{combine like terms}\\\\3x+3=7x+(-14-3)\\\\3x+3=7x-17\qquad\text{subtract 3 from both sides}\\\\3x+3-3=7x-17-3\\\\3x=7x-20\qquad\text{subtract 7x from both sides}\\\\3x-7x=7x-7x-20\\\\-4x=-20\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-20}{-4}\\\\x=5[/tex]

Answer:

after one month = 100*.05=

$5 earned + $100 already there= $105

after 2 months = $105*.05=

$5.25 earned + $105 already there= $110.25

after 3 months = $110.25*.05=

$5.51 earned + $110.25 already there=

$115.76 is how much she'll have in the account after 3 mos.

Answer:

The answer is A

Step-by-step explanation:

4.53 - 4.06 = .47

.47 is 10.4% of 4.53

Option A,-10.4% is the rate of change of stock XYZ for this particular week.

How to find percentage change?

Step 1: Calculate the change (subtract old value from the new value)

Step 2: Divide that change by the old value (you will get a decimal number)

Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

Note: when the new value is greater then the old value, it is a percentage increase, otherwise it is a decrease.

Finding percentage change

We have given,On Monday, stock XYZ opened at $4.53 which is the initial value or old value

On Friday, it closed at $4.06,which will be final value or new value.

First calculate, difference between the two value using,

Change=final value-initial value

Change=4.06-4.53

Change=-0.47

Now divide the change by initial value.

=-0.47/4.06

=-0.104

Now convert it to a percentage (by multiplying by 100 and adding a "%" sign)

=-0.104×100 %

=-10.4%

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Answer:

Micah’s solution is wrong. The value of x=3 or -7/3

Step-by-step explanation:

First solve for the value of x

Given (1 – 3x) = 4(– + 2)

This can mean;  (1 – 3x) = 4(+ 2) or  (1 – 3x) = 4(-2)

In the first option (1 – 3x) = 4(+ 2) the value of x is ;

1 – 3x = 4(+ 2).....................open bracket

1-3x= 8...............................collect like terms

-3x=8-1

-3x=7....................................divide both sides by 3

x= -7/3  

In the second option

(1 – 3x) = 4(-2)

1-3x= -8

-3x= -8-1

-3x = -9

x= 3

Solutions  x= 3 0r -7/3

The values of x that make the statement true are 3 and -7/3

Answer:

Micah’s solution is wrong. There are no values of x that make the statement true.

Step-by-step explanation:

I just did this Instruction.

Plz press the Thanks button :)

Answer:

[tex]\large\boxed{-8\sqrt9=-24}[/tex]

Step-by-step explanation:

[tex]\sqrt{a}=b\iff b^2=a\\\\\sqrt9=3\ \text{because}\ 3^2=9\\\\-8\sqrt9=-8(3)=-24[/tex]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

The correct mathematical inequality representation for the problem given would be |x - 99| ≤ 3, accounting for people three places ahead or behind the 99th person in line who are eligible to win.

The inequality to find all the winners of the movie tickets, based on the information given, would be |x - 99| ≤ 3. This way of expressing the relationship tells us that as we move three places forward or backwards from the 99th person in line, they are still within the range to win a free movie ticket. The 'x' in the inequality stands for the position in line. In this case, the solution to the inequality |x - 99| ≤ 3 is the set of all numbers in line that are within three places of the 99th person, which are positions 96 to 102 inclusively.

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Answer:

Can I see the options because the way the test worded this question is a bit confusing

Step-by-step explanation:

Employers frequently offer full-time employees benefits such as health insurance, retirement plans like 401(k)s, life insurance, paid vacation, and tuition reimbursement, in addition to legally required contributions to Social Security and unemployment insurance.

Employers often provide a range of benefits to their full-time employees beyond the usual salary. Common benefits include:

Health insurance, which helps cover medical expenses that are not covered by public health care plans.

Retirement plans, such as a 401(k) plan where employees can have a portion of their salary deducted and invested for retirement, often with some form of employer match.

Life insurance, offering financial security to an employee's beneficiaries in the event of their passing.

Paid vacation, allowing employees to have paid time off from work.

Tuition reimbursement programs, where employers provide financial support to employees who pursue further education.

These benefits are crucial as they provide a sense of security and support employees’ work-life balance, health and welfare, and professional development.

In addition to these, employers are required by law to make contributions towards legally required benefits such as Social Security, unemployment, and worker's compensation insurance. Some employers may offer additional perks like telecommuting options or employee assistance programs. However, benefits like free gasoline, rent, or sabbaticals are less common and tend to be specific to certain companies or industries.

Answer:

-2/3

Step-by-step explanation:

3x=sqrt4-4

3 times a number is 4 less than the square of that number. The negative solution is  -1

What are quadratic equations?

Quadratic equations are of the form ax² + bx + c where a ≠ 0.

Factorization, often known as factoring, is the process of expressing a number or another mathematical object or mathematical equations as a product of several factors.

Now, In the given question let's first assume that the unknown number is a variable x.

So, 3 times that number is (3 × x)

And then, 4 less than the square of that number is (x² - 4)

Now, as the question states that 3 times a number is 4 less than the square of that number,

So we can write,

3x = x² - 4

Now, we have to solve this quadratic equation with the help of factorization.

To solve the quadratic equation we first bring all the terms to any of the sides and after rearranging a little the equation is as follows:

x² - 3x - 4 = 0

Now, if we want to find the factors in the form ax² + bx + c we need to multiply a and c and then we have to identify what two numbers sum up to b and multiply to ac.

Here, a = 1, b = -3 and c = -4

Now, ac = -4

So, we have to identify what two numbers sum up to b and multiply to ac. The numbers are -4 and 1 and we can check that they sum up to -3 and multiply to -4.

So first we have to split the equation: x² - 3x - 4 = 0

x² - 4x + 1x - 4 = 0

Now, we have to group the above equation,

(x² - 4x) + (1x - 4) = 0

Taking x common from the first group and taking 1 common from the second group we get,

(x)(x - 4) + (1)(x - 4) = 0

Now, again taking (x - 4) common from the equation we get,

(x - 4) × (x + 1) = 0

So, we set each factor to zero now,

(x - 4) = 0

Adding 4 to each side of the equation we get,

x - 4 + 4 = 4

Simplifying we get,

x = 4

(x + 1) = 0

Adding -1 to each side of the equation we get,

x + 1 - 1 = -1

Simplifying we get,

x = -1

So, we now have two solutions of x that is 4 and -1

But according to the question we only need the negative one.

Therefore, the negative solution is  -1

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Answer:

$2000

Step-by-step explanation:

the profit would be determined by how many computers are involved, so that would vary

Answer:

2000

Step-by-step explanation:

Answer:

To ship a 2 pound package , the company will charge $10 and to ship a 3.5 pound package , the company will charge $20

Step-by-step explanation:

This question is on interpreting the information on the graph

In the first option, a 2 pound package lies on the second part of the charge line that charges $10. This value is similar to that charged for a package with 1.5 pounds too because it lies on same charge line.

In the second option, a package with 3.5 pounds will lie on the fourth part of the charge line that indicates $20. This value is similar to that charged a package with 4 pounds too because it lies on the same charge line.

From the graph, a parcel that weighs;

0 to 1 pound will be charged=$5

 1.5 to 2 pounds will be charged=$10

  2.5 to 3 pounds will be charged=$15

   3.5 to 4 pounds will be charged=$20

Step-by-step explanation:

If a ≤ b ≤ c is the length of the sides, then a + b > c.

(a)

We have a = 3cm, b = 4cm, c = 6cm.

Check:

a + b = 3cm + 4cm = 7cm

c = 6cm

7cm > 6cm → a + b > c   CORRECT :)

YES. It's possible.

(b)

We have a = 1cm, b = 3cm, c = 4cm

Check:

a + b = 1cm + 3cm = 4cm

c = 4cm

4cm = 4cm → a + b = c

NO. It's impossible.