helpppp :) 50 points
An equation is shown below:

4(2x – 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

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Answer:

[tex]\boxed{\sf{2b+3}}[/tex]

Step-by-step explanation:

In order to solve this problem, first you need to simplify the expression to use a distributive property.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

5+2b-2

Switch sides.

2b+5-2

Combine like terms.

You have to subtract by the numbers from left to right.

Solve.

5-2=3

2b+3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

130

Step-by-step explanation:

just multiply 65 by 2 and you get 130

Answer:

20.25

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length:

The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5

9/(4.5) = 2

The given rectangles are similar so their side lengths must be proportional

(4.5)/x = 2/9 cross multiply expressions

2x = 40.5 divide both sides by 2

x = 20.25

Answer:

8

Step-by-step explanation:

10/3 divided by 5/12

10/3 multiple 12/5

So the 3 and 12 will cross out same as 10 and 5 then we will get 8 as an answer

Answer:

4/8 or 1/2

Step-by-step explanation:

Convert all size to x/8

1/4=2/8 and 1/2=4/8

Multiply size of beaker by how many there are filled

1/8 * 2= 2/8

2/8*7= 14/8

4/8*3 =12/8

then add all of them together = 28/8

convert 4 liters to 32/8

Subtract 32/8 - 28/8 = 4/8

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.

In this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:

[tex]\frac{200}{x-1} = \frac{160}{x}[/tex]   (1)

Now we clear [tex]x[/tex] within (1):

[tex]200\cdot x = 160\cdot (x-1)[/tex]

[tex]x = 4[/tex]

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]

The statement is incomplete and poorly formatted. The complete statement is shown below:

Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060

Answer:

30 books

Step-by-step explanation:

Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30

Answer:

Surface Area = 6×62 = 216 inches2

Step-by-step explanation:

Formula for surface area of cube is 6 into side²

EXPLANATION

Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

Answer:

4

Step-by-step explanation:

Elissa uses 8.5 inches of thread per bracelet.

She has 40 inches of thread.

To find the maximum number of bracelets she can make, we need to divide.

40 / 8.5 = 4.70588...

We cannot have an unfinished bracelet, so we have to round down.

She can make 4 bracelets with 40 inches of thread.

Answer:

4 bracelets

Step-by-step explanation:

if 8.5 inches makes 1 friendship bracelet

what about 40inches

8.5inches=1 bracelet

40 inches=?

cross mulltiply

40x1

-------

8.5

=4 12/17 bracelets

12/17 of a bracelet is not a complete one

=4 complete friendship bracelets

aaaaaand 4 happy friends

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

there are 18 milk chocolates

Answer:

Step-by-step explanation:

convert it to fraction first: 2/5 are plain and 3/5 is milk

30÷5= 6

2x6=12

3x6=18

to check wheter or not it is correct add the amount. if it gets the total, it is correct.

If Wilma ran 1 hour 15 minutes and 3 days this week, the number of minutes she ran in total is 4395 minutes.

She loves to run and she ran 1 hour and 15 minutes 3 days this week. Therefore, the total time in minutes she ran can be calculated as follows:

1 hour = 60 minutes

1 days = 24 hours

3 days = 72 hours

Therefore,

1 hours  = 60 minutes

72 hours = 4320 minutes

Hence,

The total minutes she ran = 60 + 15 + 4320 = 4395 minutes

The question is How many minutes did Wilma run in total?

learn more on minutes here: https://brainly.com/question/26140037

Answer:

$13.50

Step-by-step explanation:

if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt

area of triangle = W × B

area of a triangle is = 552/8

552/8 = 37/4 × W

552/8 = 37W/4

8•37W = 4•552

296W = 2208

W = 7.5

width : 7.5 feet

Explanation:

area of rectangle : Length * Width

Given,

solve:

[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]

[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]

[tex]\rightarrow \sf width = 7.5[/tex]

Answer:

y=3/4x-14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b

We can see that our givens is that the slope is 3/4 and our point is (8,-8)

Let's plug this in and solve for b (b is the y-intercept)

-8=3/4*8+b

-8=24/4+b

-8=6+b

-14=b

Now we write out the equation which is y=3/4x-14

Answer:

please make brainiest

Answer: A

Step-by-step explanation:

You can multiply the coordinates by 4, giving (0,0)

Answer:

-3

Step-by-step explanation:

a= -4

So the first and second should be multiply together

first=-4

second=12

12/-4=-3

Answer:

[tex]\fbox{x=4.5}[/tex]

Step-by-step explanation:

[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]

Multiplying LHS & RHS with 3/8,

[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]

Taking reciprocal both the side,

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

Cross multiplying and dividing,

[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]

[tex]\fbox{x=4.5}[/tex]

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Answer:

BDC  and ADB

Step-by-step explanation:

Using proportions, it is found that the rate of water flow was of 6 miles per hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Answer:

x = 2.8

Step-by-step explanation:

[tex]7\left(-2x+4\right)=-4x[/tex]

[tex]-14x+28=-4x[/tex]

[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]

[tex]-14x+28-28=-4x-28[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-14x=-4x-28[/tex]

[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]

[tex]-14x+4x=-4x-28+4x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-10x=-28[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]

[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]

[tex]x=\frac{14}{5}[/tex]

[tex]x=2.8[/tex]

[RevyBreeze]

The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.

or pOH = -log[OH⁻]

The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.

So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02

Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

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Answer:

8.02

Step-by-step explanation:

trust

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

Answer:

well, here's the formula!

Step-by-step explanation:

area = (1/2) · (p + q) · h

Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;

[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

The distance the cyclist rides against the wind = 5 miles

The distance the cyclist rides with the wind = 10 miLes

Let t represent the time it took the cyclist in both directions, we have;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Where;

v = The cyclist's average rate of speed

Which gives;

10 × (v - 4) = 5 × (v - 4)

10v - 40 = 5v - 20

5v = 20

v = 20 ÷ 5 = 5

The equation that can be used to calculate the cyclist's average rate of speed is therefore;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

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Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

[tex]13x+14[/tex]

Step-by-step explanation:

First take all the sides and add:

[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]

Then Combine Like terms:

[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]

There is your answer:

[tex]13x+14[/tex]

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