3x-1/5=x+1/3 pls help me

Let:

From (1), solve for y:

Replace (3) into (2):

Replace the value of x into (3):

Prism is the mathematical model with different dimensions but same volume.

As given in the question,

Mathematical model represent different dimensions but same volume.

Prism is the mathematical model with different dimensions but same volume.

To prove it consider two different dimensions of prism.

Prism 1

length = 4cm

Width = 4cm

Height = 4cm

Surface area of the prism1 = 2( 4×4 + 4×4 +4×4)

                                            = 2(48)

                                            = 96cm²

Volume of prism1 = 4×4×4

                             = 64cm³

Prism 2

length = 8cm

Width = 2cm

Height = 4cm

Surface area of the prism1 = 2( 8×2 + 2×4 +4×8)

                                            = 2(56)

                                            = 112cm²

Volume of prism1 = 8×2×4

                             = 64cm³

Therefore, prism is the mathematical model with different dimensions but same volume.

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The value of x = 18.

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Median = [tex]\frac{n+1}{2} ^{th}[/tex] term

Given that,

The median of the data is 25.

The observations are 17, x, 24, x+7, 35, 36, 46.

Here, n = 7

Median = 25

Median = [tex]\frac{7+1}{2} ^{th}[/tex] term

Median = [tex]\frac{8}{2}^{th}[/tex] term

Median = 4[tex]^{th}[/tex] term

Median = x+7

25 = x+7

X = 25-7

X = 18

Here, x+7  

X+7 = 18+7

X+7 = 25.

Therefore, the value of x is 18.

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It is proved that the line c is parallel to line d.

For the given question;

Angle 2 and angle 3 are supplement;

∠2 + ∠3 = 180    ......eq 1

See from figure.

∠4 = ∠3  (vertically opposite angles)

Thus, replacing ∠3 with  ∠4 in eq 1.

∠2 + ∠4 = 180   (linear pair)

As ∠2 and ∠4 form the linear pair. Thus, line c is parallel to line d.

Therefore, line c proved to be parallel to line d.

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Hello! So...

We are given the following:

[tex](5-9i)-(2-6i)+(3-4i)[/tex]

_____________________________________________

1. Simplify the given expression.

[tex](5-9i)-(2-6i)+(3-4i)=5-9i-(2-6i)+3-4i[/tex]

_____________________________________________

2. Group the like terms.

[tex]-9i-4i(-2-6i)+5+3[/tex]

_____________________________________________

3. Add similar elements ( [tex]-9i-4i=-13i[/tex] ).

[tex]=-13i-(2-6i)+5+3[/tex]

_____________________________________________

4. Add the numbers ( [tex]5+3=8[/tex] ).

[tex]-13i-(2-6i)+8[/tex]

_____________________________________________

5. Remove the parentheses ( [tex]-(a+bi)=-a-bi[/tex] ).

[tex]-13i+-2-(-6)i+8[/tex]

_____________________________________________

6. Group the like terms.

[tex]-13i-(-6)i-2+8[/tex]

_____________________________________________

7. Add similar elements ( [tex]-13i-(-6)i=-7i[/tex] ).

[tex]-7i-2+8[/tex]

_____________________________________________

8. Add the numbers ( [tex]-2+8=6[/tex] ).

[tex]-7i+6[/tex]

_____________________________________________

9. Rewrite in standard complex form.

[tex]6-7i[/tex]

^Hence, our solution.

_______________________________________________________

Hope this helps! If so, lmk! If you need anything else, feel free to comment below and I'll see what else I can do to assist you further. But for now, thank you for your time and good luck!

Answer:

f(3) = (3)4 + 2

Step-by-step explanation:

y = (3)4 + 2

y = 12 + 2

y = 14

False, The product of two irritational numbers is either rational or irrational numbers.

A rational number is a number expressed in the form of p/q where p and q are integers and q should not be zero. Example: 2/5, 24

Whereas an irrational number is a number that is not rational in nature means it neither be expressed in the form of p/q nor in ratio terms. Example: √12, √3

Product of two irrational numbers: √2* √2 = 4 (which is a rational number)

Product of again two irrational numbers: √2*√3= √6 ( which is an irrational number)

Therefore, the product of two irrational numbers can be rational or irrational numbers.

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The product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

The product of two irrational numbers √3 ×√3 = 3

This is a rational number.

Again, the product of two irrational numbers: √5 ×√3 = √15

This is an irrational number.

As a result, the product of two irrational integers can be both rational and irrational.

Thus, the product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

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zymiyas, this is the solution:

Brandon mows 1/4 an acre every 1/2 hour, therefore:

1/2 hour * 2 = one hour

1/4 * 2 = 2/4 or 1/2 an acre

Brandon will mow 1/2 an acre every hour

Answer:

1 minute and 75 seconds

Step-by-step explanation:

you take 4 and divide it by 7 minutes there for getting 1.75

The ordered pairs are on the inverse function are (-5, -2) and (4, 1)

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

From the question, we have the following coordinate points

Rewrite the points as:

Remove the inflection point.

So, we have

The next step is to switch/swap the positions of x and y in the above equation ordered pairs

So, the points become:

Hence, the ordered pairs that are on the inverse function of the function are (-5, -2) and (4, 1)

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Answer:

its

A(-5,-2),

B(0,-1),

E(1,0),

F(4,1).  

Step-by-step explanation:

i took one for the team

The expression to represent the number of tomato plants he planted this year  1 / 5 x  + 6.

This year Nelson planted 6 more than one fifth of the tomato plants he planted last year.  

The expression that can be used to represent the number of tomato plant he planted this year can calculated as follows:

Therefore,

let

x = number of tomato he planted last year.

Hence, the final expression is as follows:

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Given,

The value of n is 8.

The value of x is 0.

The value of p is 0.6.

The binomial expression is,

Subsituting the values then,

ence, the probability is 0.0007.

Cost of the health insurance is $11657.14

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

14% of x = 68

x = 68 x 100/14

  = $485.71

Total cost = $485.71 x 24 months = $11657.14

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Answer:

1.1 and 1.12

Step-by-step explanation:

a rational number is any number that can be written as a fraction or a decimal that does not go on forever (unless it is a repeating decimal, ex: 3.454545..)

so any decimal that can be written as a fraction that is between 1 and 1.2 works

slope= 1/4

y intercept= -5

Cost of the health insurance is $12925.33

What is cost?

A cost is the worth of cash that has been used up to create it or supply a function and is thus no longer accessible for use in manufacturing, research, commerce, or bookkeeping. In business, the cost might be one of procurement, in which case the money being spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's direct capital costs above and beyond the amount paid to the producer. Typically, the package includes a gross margin above the cost of manufacture.

9% of x = 48.47

x = 48.47 x 100/9

  = $538.55

Total cost = $538.55 x 24 months = $12925.33

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Answer:

• A(1)=4

• A(2)=8

• A(3)=13

• A(4)=17.5

Explanation:

The graph is given below:

The area, A(x) represents the area bounded by the graph, the horizontal axis, and the vertical lines at t=0 and t = x.

(a)A(1)

Area, A(1) is the area of a trapezoid in which: a=3, b=5 and h=1

(b)A(2)

.

(c)A(3)

.

(d)A(4)

The graph of the line y=kx+1 given that the  point M(1,3) belongs to the line is shown below .

In the question ,

it is given that

the line y=kx+1 has point (1,3) on it ,

which means that the point (1,3) will satisfy the equation y=kx+1 .

So, substituting x=1 and y=3 , we get

3=k*1+1

3-1=k

k=2

Hence , the equation of the line becomes y=2x+1 .

On comparing the equation with point slope form of the the line, y=mx+c ,

we get , the slope of the line = 2 and y intercept of the line = 1 .

the graph of the line y=2x+1 is shown below .

Therefore , the graph of the line y=kx+1 given that point M(1,3) belongs to the line is shown below .

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Correct Unit rate is 4 pounds per gallons.

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc.

Given Data

[tex]\frac{1}{4}[/tex] pounds = [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] pounds ÷ [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] × 16

Rate = 4

Unit rate is 4 pounds per gallons.

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Let a be the number of hours that Brian works at Job A in one week and b be the number of hours that he works at Job B .in one week

Since Brian worked 22 hours per week and he made $148.60, we can set the following system of equations:

Subtracting b from the first equation we get:

Substituting the above equation in the second one we get:

Applying the distributive property we get:

Subtracting 134.20 from the above equation we get:

Dividing the above equation by 1.20 we get:

Substituting b=12 in a=22-b we get:

Answer:

[tex] = \sqrt{6} + \sqrt{12} + \sqrt{12} \\ \\ = \sqrt{6} + 2 \sqrt{12} \\ = \sqrt{6} + 2 \sqrt{4 \times 3} \\ = \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{3} \\ = \sqrt{6} + 2 \times 2 \sqrt{3} \\ = \sqrt{6} + 4 \sqrt{3} [/tex]

ATTACHED IS THE SOLUTION

Answer:Explanation:

Yes

The point is a solution if it satisfies the inequality.

In this case, the inequality is y ≤ (1/3)x + 4, so replacing (x, y) = (-6, 2), we get:

y ≤ (1/3)x + 4

2 (1/3)(-6) + 4≤

2 ≤ -2 + 4

2 ≤ 2

Since 2 is equal to 2, the inequality is satisfied and (-6, 2) is a solution.

So, the answer is Yes.

Mike works 40 hours at job A and 18 hours at job B.

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. This suggests that the equations are simultaneous and have a single solution.

Given:

Mike makes $7 per hour at job A and $8 per hour at job B.

Let x be the number of hours Mike spends working at job A and y be the number of hours he spends working at job B.

Since he works a total of 58 hours per week,

x + y = 58

His total pay for one week is ​$424.

7x + 8y = 424

Solving both equations simultaneously we get,

From the first equation, we have, y = 58 - x

Putting the value of y in the second equation,

7x + 8(58 - x) = 424

7x + 464 - 8x = 424

8x - 7x = 464 - 424

x = 40

So, now calculate y = 58 - 40 = 18

Therefore, Mike spends 40 hours working at job A and 18 hours working at job B.

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Answer:

When x = -4, the equation's answer is -6.

Hope this helps!

Step-by-step explanation:

3(-4) - ( -4 ) + 2

-12 - (-4) +2      ( negative times negative is positive )

-12 + 4 + 2

-8 + 2 or -12 + 6

is -6

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\texttt{real roots : 2 }[/tex]

[tex]\qquad \tt \rightarrow \: imaginary \: \: roots = 1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given polynomial is a 3rd degree polynomial so it has a total of three roots.

And we know, where the curve (of polynomial) cuts the x - axis is its real root. so, from the graph we can infer that the given polynomial has 2 real roots [ as it cuts the x - axis at two points, i.e x = -2 and x = 1 ]

Hence, Number of real roots = 2

Number of imaginary roots = total roots - real roots

i.e 3 - 2 = 1

So, number of imaginary roots = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The answers are all there. 50° + 22°= 77°

180° - 77° = 103°

Step-by-step explanation:

All the rest is just mirrored.

According to the given values, the length of the arc is 1 cm approx.

So, the formula to find the length of the arc:

Now, substitute the values in the formula as follows:

Therefore, according to the given values, the length of the arc is 1 cm approx.

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For breakfast, the family decides to spend no more than $20.00 for the week.

Each day, the family drinks 2/7 of a liter of milk for breakfast.

For the entire week, the amount of milk consumed is

Milk costs $4,49 per liter, so the cost of the total amount of milk consumed is

So, the amount left for the granola is

Each day, the family eats 1/3 of a pound of granola for breakfast.

For the entire week, the amount of granola consumed is

Let x be the price per pound of the most expensive granola they can afford.

Therefore, the most expensive granola they can afford is $4.72

Algebraic expression for Height of Balloon 2 = 7x and Height of Balloon 3 = x/2.

Heights reached by balloons 1, 2, 3 and 4 will be 54.73, 383.11, 27.36, 84.73 respectively.

We have the following given information as per the question

Balloon 1 reaches x m.

Balloon 2 reaches a height of 7 times balloon 1

∴ Balloon 2 reaches 7x m.

Balloon 3 reaches a height of half that of balloon 1.

∴ Balloon 3 reaches [tex] \frac{x}{2} [/tex] m.

Balloon 4 reaches a height of 30 meters more than balloon 1.

∴ Balloon 4 reaches ( x + 30 ) m.

Now As given The total height reached by all the balloons was 550 meters.

∴ Height of Balloon 1 + Height of Balloon 2 + Height of Balloon 3 + Height of Balloon 4 = 550 meter

∴ x + 7x + [tex] \frac{x}{2} [/tex] + (x + 30 ) =550

∴ 9.5x + 30 = 550

∴ 9.5x = 550 - 30

∴ 9.5x = 520

∴ x = 520/9.5

∴ x = 54.73 meter

(a) Algebraic expression to model the heights reached by balloons 2, 3 will be

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

(b) The heights reached by balloons 1, 2, 3 and 4 will be as follows

Height of Balloon 1 = x = 54.73 meter.

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

Height of Balloon 4 = x + 30 = 54.73 + 30 = 84.73 meter

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