Factor 1/5 out of 1/5x - 3/5

Answers

Answer 1

[tex]\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)[/tex]


Related Questions

Which fraction is the same as 3.375?

Answers

Answer: 27/8 or 3 3/8

Step-by-step explanation:

Write 3.375 as 3.375/1

then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.  

   Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.

  If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times.  That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same.  ur final answer as a mixed number is 3 3/8.

Write the expression in standard form,
(9+2i)(5-3i)

Answers

[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: 51 - 17i[/tex]

refer to the attachment for explanationhope it helps

If Y varies directly as x and y= 49 when x= 40, find y if x =34

Answers

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.
a. Write a linear function to estimate how many deer will be in the park in x years.
b. Use the linear function to predict how many deer will be in the park in 3 years.
c. In how many years will there be 5,325 deer left in Sharon Woods Park?

Answers

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

Find out more at: https://brainly.com/question/21105092

simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4

Answers

Answer:

x^7-7x^6+21x^5-13x^3+33x^2-35x

Step-by-step explanation:

there you go!

For the line segment with endpoints M(m, 4) and N(-2, n) , the midpoint is (3, 1) . Find m and n.

Answers

Answer:

Step-by-step explanation:

(m + (-2)) / 2 = 3

    (m + (-2)) = 6

               m = 8

(4 + n) / 2 = 1

      4 + n = 2

            n = - 2

   

Fill in the blanks to solve 900 x 6

Answers

Answer:

The answer is 900 ×6= 5,400 u can use a calculator

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answers

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

Solve the following system of equations.
y = 2x + 1
y = x2 – 5x + 7

Answers

The solution of the system of equation is (6, 13) and (1, 3).

How to solve system of equation?

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 =  x² - 5x + 7

x² - 5x + 7 - 2x  - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

learn more on system of equation here:https://brainly.com/question/20023128

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PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

Answers

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

AB:BD = 3:4

AC:CD = 3:2

Work out AB:BC:CD

Answers

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

Put these fractions in order from greatest to least:

Answers

Answer:

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

Step-by-step explanation:

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

heeelllppp meeee please

Answers

A= 100; b= 0,9
f(x)= 100.(0,9)^x

You wish to buy a new skateboard. To earn money, you sell your baseball cards to
your friends for $2.50 each. If the new skateboard costs $98, what is the minimum number
of baseball cards you will have to sell?

Answers

So first you sell your baseball cards for $2.50 and you need $98 THEN

The minimum cards u need to sell is
98/2.50 which is 39.2 but you can’t sell cards in fraction so the final answer is 40

Circle A was dilated with the origin as the center of dilation to creat circle b

Answers

Answer: The answer is B.)

Have a great Day/Night!

12×12 get this right i will give you brainliest​

Answers

Answer:

144

Step-by-step explanation:

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12\cdot12[/tex]

_______________

we can use multiple methods to solve this problem.

Distributive property Regular multiplication Fraction division

________________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]

Here is how it would look to do distributive property

[tex](10\cdot12)+(2\cdot12)[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or Subtraction

Solve it and we get the answer of 144.

________________

[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]

just multiply [tex]12\cdot12[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]

here is how it would look like.

[tex]\frac{12}{1}\div\frac{1}{12}[/tex]

Follow the rule, also known as keep change flip, which makes it look like

[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

144

what is an equation of the line that passes through the points (2,-5) and (-3,-5)?

Answers

Answer:

y = -5

Step-by-step explanation:

yeah-ya....... right?

Answer:

Step-by-step explanation:

as both y values are -5, slope is zero and y intercept is -5

y = 0x - 5

y = -5

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}


Step 1
Step 2
Step 3
Step 4
Step 5


93
×51


3
90
150
+4,500


4,743


1×3 ones
1×9 tens
50×3 ones
50×9 tens

Answers

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: https://brainly.com/question/24716925

Find the values of x and y that makes these triangles congruent by HL.

Answers

Answer:

What is HL?  holey logic? hawk a loogy? half lies? honey lemon? heavenly lampshade? hand lotion?

Step-by-step explanation:

as AB = DE, the only options given where x = y - 1 are the the second and third.

as AC and AD are equal from ASA

3x - 2 = 2y + 1

3x - 3 = 2y

y = 1.5x - 1.5

the only x,y pair that fits is x = 5, y = 6

What is the solution to this equation? 1⁵+5²/25⁰-5¹=

Answers

Answer:

It is 21 first guy is no doubt correct.

Step-by-step explanation:

The expression results to 21.

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

1⁵+5²/25⁰-5¹

So, 1⁵ = 1

5² = 25

25⁰ = 1

5¹ = 5

Now, 1⁵+5²/25⁰-5¹

= 1+ 25 / 1 - 5

= 1 + 20

= 21

Hence, the expression results to 21.

Learn more about exponents and power here:

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True or False (See Image)

The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.

Answers

Answer: true

Step-by-step explanation:

Find the quotient.
32 ÷ 0.08

Answers

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

1/3(x+6)=2/3(x-9)

multi step equation

Answers

[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]

Ok done. Thank to me :>

.03 + six tenths equals

Answers

0.63 (6 tenths = 0.6)
0.63 because 0.6 is six tenths

What is the slope and y-intercept that represents this table?​

Answers

Answer:

[tex]m=-2\ 000; q=17\ 000[/tex]

Step-by-step explanation:

First of all, whoever formatted that table is a criminal.

Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000

Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)

Answers

ANSWER: y= -4x+1
slope-intercept form is y=mx+b

to find m, which is the slope, we used
m=(y2-y1)/(x2-x1) (rise over run)
=(-15-(-3)/4-1)
= -12/3
= -4

to find b, choose one of the points and use the slope -4 and plug it in:
y=m(x)+b
-3= -4(1)+b
-3= -4+b
1=b

Answer: b=7

Step-by-step explanation:

PLEASE HELP! Look at the image and please help me

Answers

Answer:

Step-by-step explanation:

its b

I was absentee and i dont know how to solve it help plz

Answers

Answer:

-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)

Step-by-step explanation:

You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1

                                       3 right=   3  

                                                -1/3

Evaluate 3x + 34 if x = 5.

Answers

Answer:

49

Step-by-step explanation:

3x + 34

x = 5

3 * 5 + 34

15 + 34

49

3x+34
3(5)+34
15+34
49
X=49

What is the equation of the line that passes through the point (-6,8) and has an undefined slope?​

Answers

Answer:

x = -6

Step-by-step explanation:

Slope is rise over run (change in y divided by change in x), and to have an undefined slope change in x must be zero. The line x = -6 is a vertical line that passes through the point (-6,8).

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