7v- 5 ≥ 65 or -3v - 2 ≥ -2​

Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To solve the above question, we would be applying the operations of the addition of fractions.

From the question,

Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.

Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/4 + 1/3

Lowest Common Denominator for (3, 4 ) = 12

Hence,

1/T = 3 + 4 / 12

1/T = 7/12

Find the reciprocal of both sides

T = 7/12 hours or can be expressed in decimals as 0.583 hours.

Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

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Answer:

3 ballons

Step-by-step explanation:

47-35=12

4x3=12

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4  

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line:   y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8      

 put it in slope intercept form y = mx + b  

y  = 4x − 5

Fractions are integers that have both a numerator and a denominator. They are represented as;  [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  [tex]27\frac{3}{11}[/tex]  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = [tex]27\frac{3}{11}[/tex] hours

Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.

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[tex]\\ \sf\longmapsto a+\dfrac{1}{a}=\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto \left(a+\dfrac{1}{a}\right)^3=\sqrt{3}^3[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+\dfrac{3a^2}{a}+\dfrac{3a}{a^2}=3\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+3a+\dfrac{3}{a}=3\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\sqrt{3}-3a-\dfrac{3}{a}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\left(\sqrt{3}-a-\dfrac{1}{a}\right)[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3(0)[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=0[/tex]

Answer:

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

Answer:

(x + 2y)(x − 2y)

Step-by-step explanation:

x² - 4y²

(x + 2y)(x − 2y)

Answer:

24m

Step-by-step explanation:

8+10=6=24 because you add to find perimeter.

Answer:

Perimeter = 24 m

Step-by-step explanation:

Perimeter = S +S+S

=(8+10+6)

=24m

Hope that this is helpful. Have a nice day.

Using normal distribution table, the area between z=0 and z=1.70 is the difference between p(z=0) and p(z=1.70). Hence, the area between z=0 and z = 1.70 is 0.4554

Using a normal distribution table :

The Area between z=0 and z= 1.70 is defined as the difference between the probabilities of (z < 1.70) and (z < 0)

P(Z < 1.70) - P(Z < 0) = 0.95543 - 0.5 = 0.45543

Therefore, the area between z = 0 and z = 1.70 rounded to four decimal places is 0.4554

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Answer:

true its true ..

Step-by-step explanation:

we can know our profit or loss by our selling price

Answer:

D is the most likely answer

Step-by-step explanation:

this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...

Answer:

[tex]23[/tex]

Step-by-step explanation:

[tex]g+\frac{h}{7}[/tex]

First, divide 36 by 7:

Add 14 and 9:

________________________

Answer:

What is the question

Step-by-step explanation:

Answer:

9:00

Step-by-step explanation:

hope this helps

Step-by-step explanation:

[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]

>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)

>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]

> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²

> (x-2)(2x+1) [3(2x-1)-2(2x+1)]

> (2x²-3x-2)(6x-3-4x-2)

> (2x²-3x-2)(2x-5).

hope this helps you.

Answer:

x=9

Step-by-step explanation:

180 =120+5x+15

60=5x+15

45=5x

9=x

Answer:

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4

Answer:

1. Evaluate the function at an input value of zero to find the y-intercept.

2. Identify the slope. (change of y/change of x)

3. Plot the point represented by the y-intercept.

4. Use rise over run (rise/run) to determine at least two more points on the line.

5. Draw a line that passes through the points.

Answer:

1. 3, 12, 48, 192, 768               Ratio: x4

2. 8, 16, 32, 64, 128                Ratio: x2

3. 120, 60, 30, 15, 7.5             Ratio: ÷2

4. 5, 10, 20, 40, 80, 160          Ratio: x2

5.  1.3?, 4, 12, 36, 108, 324      Ratio: x3

Hope this helps!

I'm not sure about the first one on question 5 though.

Answer:

3x+4y-24=0.

Step-by-step explanation:

if the common form of the required equation is

[tex]\frac{x}{a} +\frac{y}{b} =1, \ where \ a;b \ are \ x-intercept;y-intercept,[/tex]

then the required equation is:

[tex]\frac{x}{8} +\frac{y}{6} =1[/tex]

or 3x+4y-24=0.

Answer:

correct the answer is 6.13

Step-by-step explanation:

The required current balance in Maggie's bank account is 6.13.

Given that,
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
initial balance in Maggies's bank account = -18.37
She deposited 24.50 in her bank account,
The current balance in her bank account = Initial balance + money deposited
Current = 24.50 - 18.37
Current balance = 6.13

Thus, the required current balance in Maggie's bank account is 6.13.

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Answer:

Step-by-step explanation:

1.1     Solve   d-2r  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  d-2r  = 0 and calculate its properties

Answer:

slope intercept form is "y= -3/2+6"

Answer:

70

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

So, she practices 12 hrs per week, and already has practiced 3 hrs this week.

This means she has 9 hrs left to practice.

3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)

which is basically 9 / ( 3/4)

[tex]\frac{9}{3/4}=\frac{9}{1} / \frac{3}{4} = \frac{9}{1} * \frac{4}{3} = \frac{36}{3} = 12[/tex]

She needs 12 more sessions.

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = [tex]\frac{1}{9}[/tex]in

Rb = real building = 678ft = 8136in

Rw = real window = ?

[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]

[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]  

[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]

[tex]\frac{8136}{162}[/tex] = Rw

[tex]\frac{452}{9}[/tex] = Rw

Rw ≈ 50.2in ≈ 4.2ft

Answer:

C) 1 ¼

Step-by-step explanation:

.25 = ⁴/⁴ ÷ .25 = ¼

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Answer:

The choice C)

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]

I hope I helped you^_^