Solve for x. 5a/x = 5b/ x-1

Answer:

1.6875   2/3's are in 9/8.

Step-by-step explanation:

(9/8)/(2/3)=1.6875

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

Hope this helps

Answer:

The equation of the line is:

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

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

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

Answer:

15^3=15×15×15=3375

0^4=0×0×0×0=0

5^5=5×5×5×5×5=3125

3.5^2=3.5×3.5=12.25

6^5=6×6×6×6×6=7776

7^4=7×7×7×7=2401

1^8=1×1×1×1×1×1×1×1=1

2.5^3=2.5×2.5×2.5=15.625

Step-by-step explanation:

Answer:

3/4 divided by 1/4 = 3

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer:

3

Step-by-step explanation:

=(3/4)(4/1)

kcf (keep, change, flip)

so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)

3*4=12 and 4*1=4

so our new fraction is 12/4

12/4 is an improper fraction and 12 divided by 4 is 3

good luck :)

i hope this helps

have a great day !!

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

Answer:

the answer should be 288

Answer:

288

Step-by-step explanation:

To solve this, you divide 40% by 100.

= (40% / 100) x 720

Then you multiply 0.4 by 720.  

= 0.4 x 720

= 288

Answer:

960

Step-by-step explanation:

You have to figure out what 1/4th of 640 is, which is 160.

It says that number is 1/6th of boys, so you multiply by the inverse.

160x6 = 960

well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys  

16/24 is 66.666666666667% of 24/24

66.666666666667% of 640 is426.666666667 but in my head i would round up so:

Approximately

427 boys and 213 girls.

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Find the stationary points.

f(x) = x + 16/x

f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

f (16) = 17

Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.

Answer:

93.5

Step-by-step explanation:

Answer:

The measure of angle B is 116

Step-by-step explanation:

Answer:

B=118 degrees

Step-by-step explanation:

All triangles are meant to be exactly 180 degrees. So 180 - (28 +36) =B =118 degrees

Answer:

460.7

Step-by-step explanation:

Answer:

460.7

Step-by-step explanation:

it just 460.7

Answer:

What is the slope of a line perpendicular to the line whose equation is 2x+y=3?

Step-by-step explanation:

-1/2

Step-by-step explanation:

perpendicular slopes are the opposite reciprical

so you basically flip it and change the sign

I hope this helps :)

Answer:B

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3 x 10 = 30

add the 0 from ten to 3 and you get 30

Answer:

d+r < 15

Step-by-step explanation:

d plus r represents all the fish and it all has to be less than 15 as said in the problem

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Answer:

I cant see the picture

Step-by-step explanation:

Answer:

20=0+5x

x=20/5

x=4

x=4

x=4

Answer:

exact form:

x=0, 1/2

decimal form:

x=0, 0.5

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

To know more about binomial distribution click on,

https://brainly.com/question/14565246

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Answer:

x+6y+18=0.

Step-by-step explanation:

Answer:

425733.32

Step-by-step explanation:

3%= 12772×100÷x

3x= 12772×100

x=425733.34