Exam Question
Solve x when 18 + 6x = 2x + 42

Answer:

Yes.

Step-by-step explanation:

You are correct except to the nearest hundredth it is 795.54 cm^2.

Answer:

B. $35.50/hr and \$6,079.38 in total income

Step-by-step explanation:

Given the following :

Total regular pay earning for the year = $73,840

Let basic salary = b

Overtime = 1.5b

Regular earning per week :

Regular year earning / number of weeks per year

$73840 / 52 = $1420

Regular hours = 40

Regular earning per week = $1420

Regular earning per hour = $1420 / 40

Regular earning per hour = $35.50

Number of overtime hours :

4 hours + 3.5hours = 7.5hours

Overtime pay per hour = 1.5 * regular earning

Overtime pay per hour = 1.5 * 35.5 = $53.25

Total overtime pay = Overtime pay per hour * Number of overtime hours

Total overtime pay = $53.25 * 7.5

Total overtime pay = 399.375

Total pay for the month :

160 regular hours + 7.5 overtime hours

(160 * 35.5) + $399.375

$5,680 + 399.375 = $6,079.375

= $6,079.38

Answer:

0.638 seconds

Step-by-step explanation:

Since the ball is being dropped from a height of 24 meters, the equation will look like this:

24=9.8/s^2.

This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.

Solve the equation:

24(s^2)=9.8

(s^2)=0.408

s^2=0.408

root the number:

0.638

you can round it to the nearest whatever it's asking you to round it to

Im not an expert, so please excuse me if it's not done correctly

Answer:

It is -1

Step-by-step explanation:

You have to use pemdas, so 5 squared is 25. Than 25 times 4 is 100. Than 2-100 is -98. Than -98/7 is -14. Than you have to add 12 and 1 so the answer is -1.

the answer of mine is also 5

Answer:

greater than

Step-by-step explanation:

To compare 3/4 to 1/2, let's convert 1/2 so that it has a denominator of 4. This would then be 2/4. Because 3 > 2, 3/4 > 2/4 which means 3/4 > 1/2.

Answer:

Greater

Step-by-step explanation:

It is greater than 1/2 because when you divide the fractions you get- 1/2 = 0.5, 3/4 = 0.75 And this makes it greater.

Answer:

Step-by-step explanation:

When doing algebra, you need to reverse operations. When you reverse an operation, you use one of the properties. For example, if you add 3x to undo subtracting 3x, you are using the addition property of equality, because the equation still equal.

Answer:

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.

Step-by-step explanation:

Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.

Now add 45 mins

Hours : Minutes

      5:        40

      +         45

    5      :    85

But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .

Hours : Minutes

       1

      5:        40

      +         45

    6      :    25

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.

Answer:  The surface area is reduced by a factor of 16/25

Step-by-step explanation:  The area is the square measurements. So squaring the factor of the linear measurement change is the quick way is to determine the factor for the area.

The longer way-- if you had to prove your conclusion:

Compute the area of each side, add all the five sides of the prisms and find the ratio.

The area of the large prism is 500 square units.

The area of the smaller prism is 320 square units

320/500 = 32/50,  reduce again  16/25

Answer:

B. 16/25

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!

Step-by-step explanation:

We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A

since we have two similar sides and one similar angle between them it will be SAS similarity

Answer:

Answer D

Step-by-step explanation:

Triangle XYZ  is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.

Answer:

Distributive Property

Step-by-step explanation:

If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.

In this case: [tex]5(x-7)=55[/tex]

We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.

[tex]5x - 35 = 55[/tex]

So the property used to write the equation in Step 2 was the distributive property.

Hope this helped!

Answer:

the answer is didrtbutive

Step-by-step explanation:

hope it helps.

have a good day:)

Answer:

Step-by-step explanation:

In other to solve for the profit we have to solve for the unit cost of one lemon first

If 4 lemons cost Rs. 10

then 1 lemon will cost= 10/4= Rs 2.5

knowing that  one cost Rs 2.5

cost price of three would be 3* Rs 2.5=  Rs 7.5

Since three was sold for   Rs. 10.

The profit made is

cost of three- selling price of three=  Rs. 10- Rs 7.5=  Rs 2.5

Answer:

[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex] = - 3[tex]a_{n-1}[/tex]

Answer:

Cos ∅ = 3/5

BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.

Thus cos∅= -3/5

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~

Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?

-----

time = distance/rate

-----

t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.

Cheers,

Stan H.

------

So the answer is 12 hours.

------

Hope this helped you. Brainliest would be nice!

Answer:

it takes 13 votes to win a majority

Step-by-step explanation:

half+1 in the case of 25

it takes 13 votes to win a majority ( because there is nothing called half vote)

Answer:

D. Decision support systems

Step-by-step explanation:

Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.

It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.

There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:

1. Transaction Processing Systems

2. Process control system

3. Enterprise collaboration system

4. Enterprise Resource

Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.

Answer: k ≥ 2 and k ≤ -3

Step-by-step explanation:

When answering a problem like this, normally, you first isolate the absolute value.  As it is already isolated, the next thing you do is split the equation into 2k + 1 ≥ 5 and 2k + 1 ≥ -5, because the contents of the absolute value could be negative or positive, and simplifying both into k ≥ 2, and k ≤ -3.

Hope it helps <3

Answer:

third option

Step-by-step explanation:

Given

x² + 4x - 4 = 0 ( add 4 to both sides )

x² + 4x = 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4, that is

(x + 2)² = 8 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( subtract 2 from both sides )

x = - 2 ± 2[tex]\sqrt{2}[/tex]

Answer: She has 21 lira coins.

Step-by-step explanation:

Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.

Let x = the number of lira coins.

y= the number of drachma coins.

z= the number of peseta coins.

Then, as per given, we have

x+y+z=83   (i)

x+y=53   (ii)

x+z=51   (iii)

From (ii) and (iii)

y=53-x

z=51-x

Put these values in (i) , we get

x+(53-x)+(51-x)=83

⇒ x+53-x+51-x=83

⇒ 104-x=83

⇒104-83=x

⇒x= 21

Hence, she has 21 lira coins.

Answer:

6 seconds

Step-by-step explanation:

We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.

0 = 96t - 16t²

0 = 16t(6 - t)  -- Factor 96t - 16t²

16t = 0 or 6 - t = 0  -- Use Zero Product Property

t = 0 or t = 6 -- Solve for t

We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.

Answer: 6 seconds

Step-by-step explanation: factor

Answer:

option 2

Step-by-step explanation:

The problem can be solved using Pythagoras' identity for a right triangle.

The angle between due East and due North is 90°

The solution here involves using the Cosine rule.

let x be the direct distance between house and office, then

x² = 17² + 21² - 2(17)(21)cos90° → option 2

Note that since cos90° = 0 the equation reduces to

x² = 17² + 21² ← Pythagoras' identity

Answer: x = 137°

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 43° = 180°

      x   =  137°

The value of x is 137°.

The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.

In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.

Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.

So as we know in the inscribed quadrilateral opposite angles are supplementary.

So sum of those opposite angles in the quadrilateral is 180°.

so we can write x+43°= 180°

⇒ x = 180°- 43°

⇒ x = 137°

Therefore the value of x is 137°.

Learn more about inscribed quadrilateral

here: https://brainly.com/question/26690979

#SPJ2

Answer:

b. Exponential

Step-by-step explanation:

We are given the coordinates as the data set:

[tex]\bold{\{(-1, 0.5), (0, 1), (1, 2), (3, 8), (5, 32)\}}[/tex]

First of all, let us plot the given coordinates on the xy coordinate axis.

Let us have a look at the values of x and y first.

A pair is represented as (x, y) i.e. first value is of 'x' and the second value is of 'y'.

[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 0.5 \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 5 & 32\end{tabular}\end{center}[/tex]

If we plot them on the graph, we get the graph as the image attached in the answer area.

Let us join the coordinates using a curve.

If we closely look at the graph, there is a sudden increase with increasing value of 'x'.

Actually the increase is exponential.

Observing the given coordinates, we can see that they are in the form:

[tex](x, 2^x)[/tex]

i.e. [tex]y =2^x[/tex]

So, the exponential model best describes the data.

Correct answer is:

b. exponential

Answer: I hope it helps :)

Step-by-step explanation:

1.

[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]

2.

[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]

3.

[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]

4.

[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]

5.

[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]

Correct question is;

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) A It is too strong.

(Choice B) B It is too weak.

(Choice C, Checked) C It is just right.

Answer:

C - It is just right

Step-by-step explanation:

We are given that;

The Number of tea bags needed to make every 2 liters of water = 15 tea bags.

Thus,

For each liter of water, the number of tea bags needed = 15/2 = 7.5 tea bags.

Now, kermit needs to make 12 liters of iced tea.

Therefore, total number of tea bags required for 12 liters of iced tea = 12 × 7.5 = 90 tea bags.

Now, Peggy also took 90 tea bags to make a 12-liter batch of iced tea.

Therefore, kermit would think that the mixture of Peggy's tea is just right.

Correct option is C

Answer:

a) Cost

[tex]C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050[/tex]

b) Sales income

[tex]S(q)=20q\\\\S(500)=20\cdot 500 = 10,000[/tex]

c) Table of values

[tex]\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right][/tex]

d) Attached

e) Breakeven point = 12.5 sheets

f) Profit at 550 sheets = $1,950

Step-by-step explanation:

a) We have a fixed cost for the image, at $50.

We also have a variable cost of $16 a sheet.

The purchased quantity is 500 sheets.

Then, the cost function is:

[tex]C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050[/tex]

b) The price for each sheet is $20, so the income from sales are:

[tex]S(q)=20q\\\\S(500)=20\cdot 500 = 10,000[/tex]

c) Table of values

[tex]\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right][/tex]

d) Attached

e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

[tex]S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5[/tex]

f) This profit can be calculated as the difference between the sales income and the cost:

[tex]P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950[/tex]

The given number of 500 sheets of stamps purchased at $16/sheet with

a plan to sell each sheet for $20 gives the following values;

(a) Cost, C = 50 + 16·q

(b) Income, R = 20·q

(c) Please find the included table of values and the attached graph

(e) Approximately 403 sheets

(f) $1,950

(a) The cost per sheet of stamp = $16/sheet

The cost to create the image = $50

Amount at which they plan to sell each sheet, P = $20

Therefore

(b) The income from sale, R = Number of units sold × P

Which gives;

(c) The table of values are therefore;

C = 50 + 16·q

[tex]\begin{array}{|c|c|c|}q&C=50+16 \times q\\0&50\\1&66\\2&82\\3&98\\4&114\\5&130\\6&146\\7&162\\8&178\\9&194\\10&210\\11&226\\12&242\\13&258\\14&274\end{array}\right][/tex]

R = 20·q

[tex]\begin{array}{|c|c|c|}q&R = 20 \times q\\0&0\\1&20\\2&40\\3&60\\4&80\\5&100\\6&120\\7&140\\8&160\\9&180\\10&200\\11&220\\12&240\\13&260\\14&280\end{array}\right][/tex]

Please find attached the required graph created with MS Excel

e) The minimum number of sheets the group must sell is given as follows;

The cost of the sheets purchased = 50 + 16 × 500

Which gives;

At point of profitability; Income = Cost

50 + 16 × 500 = 20·[tex]q_{min}[/tex]

[tex]q_{min} = \dfrac{50 + 16 \times 500}{20} =402.5 \approx \mathbf{403}[/tex]

(f) The profit made by selling 500 sheets is; 20·q - (50 + 16·q)

Where;

q = 500

Which gives;

20 × 500 - (50 + 16 × 500) = 1,950

The profit made from selling 500 sheet = $1,950

Learn more about graphs of functions here:

https://brainly.com/question/22150463

Answer:

The other solution is 0.56

Step-by-step explanation:

The quadratic equation is;

4x^2 + 45x + 24

a is the coefficient of x^2 which is 4

b is the coefficient of x which is 45

c is the third number which is 24

Using the quadratic formula, we have

x = {-b ± √(b^2-4ac)}/2a

So inputing the values we have highlighted above, we have

x = {-45 ± √(45^2-4(4)(24)}/2(4)

x = {-45 ± √(2025-4(4)(24)}/2(4)

x = {-45 ± √1641}/2(4)

x = {-45 ± 40.51}/2(4)

x = (-45+40.51)/8 or (-45-40.51)/8

x = 0.56 or -10.69

Answer:

-0.56

Step-by-step explanation:

The guy above was nearly correct, not correct. He said it was positive when it is actually negative.

Hope this helps!

Answer:

The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".

Step-by-step explanation:

In the given question some data is missing. so, the correct answer to this can be explained in the following example:

In the given example, point D  is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:

⇒2-8 = -6

⇒ 5-7 = -2

It can try certain things too and see why this alone is the correct translation.  

Answer:

False ,false,true, true and true

Step-by-step explanation: