8x/10x-2 equals 5x+3/7x solve for x

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]\frac{8x}{10x-2}[/tex] = [tex]\frac{5x+3}{7x}[/tex]

Cross multiply:

[tex]\frac{8x}{10x-2}[/tex] = [tex]\frac{5x+3}{7x}[/tex]   ⇒   (8x)(7x) = (5x+3)(10x-2)

Simplify both sides:

(8x)(7x) = (5x+3)(10x-2)   ⇒   56x² = 50x²+20x-6

Set equation equal to 0:

56x² = 50x²+20x-6   ⇒   0 = -6x²+20x-6

Factor the trinomial:

0 = -6x²+20x-6 = (-6x+2)(x-3)

Solve for X:

-6x+2 = 0

-6x = -2

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

x-3 = 0

x = 3;

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


Related Questions

Find the distance between the points (-2,-2) and (3,-3)
Distance =

Answers

Answer:

≈5.099

Step-by-step explanation:

1) the rule is:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2};[/tex]

2) according to the rule above, the required distance is:

[tex]d=\sqrt{(-2-3)^2+(-2+3)^2}=\sqrt{26}[/tex]

d≈5.099

Are the ratios 2:1 and 8:4 equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

Just like with fractions, 8:4 can be reduced to 2:1

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{2 : 1}\\\\\large\text{= 2}\times\large\text{4 : }\large\text{1}\times\large\text{4}\\\\\large\text{= 8 : 4}[/tex]

[tex]\large\textsf{8 : 4}\\\\\large\textsf{= 8}\div\large\textsf{4 : 4}\div\large\textsf{4}\\\\\large\textsf{= 2 : 1}[/tex]

[tex]\large\textbf{Thus, 2:1 \& 8:4 ARE equivalent.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{YES!}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

100!! points
A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 16 ​pennies, 11 ​dimes, and 20 quarters. The rest of the coins are nickels. There are 74 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

Answers

Answer:  23n (nickels)

16p + 11d + 20q = 47x

x = number of coins that aren't nickels

y = number of coins in all

n = nickels

so there are 74 coins in all

70y - 47x = 23n

there are 23 nickels

lets check: 23n + 16p + 11d + 20q = 70y

 

i need help please i’m struggling

Answers

Answer:

  (A)  46 seconds

Step-by-step explanation:

You can arrive at an answer to this question at least two ways:

1)

Read the time from the graph.

Locate 144 on the vertical scale, just below halfway from 140 to 150. Locate the point on the graph that is at this vertical height. It is a little more than halfway between 40 and 50 on the horizontal scale.

The only answer choice in that neighborhood is t = 46 seconds.

__

2)

Use the given formula, and solve it for the time.

  d = 1.5t +75

  144 = 1.5t +75 . . . the distance of interest is 144

  69 = 1.5t . . . . . . . .subtract 75

  69/1.5 = t = 46 . . . seconds

what is the sum of p and 3 minus 2

Answers

Answer:

Step-by-step explanation:

is is (p+3)-2??

Find the value of each expression.

Answers

Answer:

I don't know if you still need an answer but- here ya go :)

a. -22 + 5 = -17

b. -22 - (-5) = -22 + 5 = -17

c. (-22)(-5) = 110

d. (-22) / 5 = -4.4

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x. -4x2+3xy-y2 -7x2-xy+6y2 x2+4xy-2y2

Answers

Polynomials are algebraic expressions that have variables and constants

The result of adding the polynomials is [tex]-10x^2+6xy+3y^2[/tex]

How to determine the polynomial

The sum of the polynomials is given as:

[tex]-4x^2+3xy-y^2 -7x^2-xy+6y^2 + x^2+4xy-2y^2[/tex]

Collect like terms

[tex]-7x^2-4x^2+ x^2+3xy -xy +4xy-2y^2-y^2+6y^2[/tex]

Evaluate the like terms

[tex]-10x^2+6xy+3y^2[/tex]

Hence, the result of adding the polynomials is [tex]-10x^2+6xy+3y^2[/tex]

Read more about polynomials at:

https://brainly.com/question/4142886

How do you factor 125-x^3?

Answers

Step-by-step explanation:

We have

[tex]125 - x {}^{3} [/tex]

First, 125 is a perfect cube because

[tex]5 \times 5 \times 5 = 125[/tex]

and

x^3 is a perfect cube because

[tex]x \times x \times x = x {}^{3} [/tex]

so we can use the difference of cubes identity

[tex]( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

[tex]64 - 27[/tex]

we know that

[tex]64 - 27 = 37[/tex]

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

[tex](4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )[/tex]

[tex]1(16 + 12 + 9) = 1(37) = 37[/tex]

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

[tex](5 - x)( {5}^{2} + 5x + {x}^{2} ) = [/tex]

[tex](5 - x)(25 + 5x + {x}^{2} )[/tex]

First Image is the answer the second is the steps

Best of Luck

Question Help The circumference of the hub cap of a tire is 73.54 centimeters. Find the area of this hub cap. Use 3.14 for it. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap. The area of this hub cap is about square centimeters. (Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.)​

Answers

See attached picture

Kaycee made 8 identical bags using 7 yards of fabric. How much fabric did Kaycee use for each bag?

Answers

Answer:

0.43 yards is the answer

Step-by-step explanation:

-3x-4y<8 graph the inequality
please help!!

Answers

Answer:

y > [tex]\frac{3}{4}[/tex] x - 2

Step-by-step explanation:

thats the answer rearranged your graph should look like this

x² +5+6
Whats the perimeter

Answers

Answer:

Step-by-step explanation:

x^2 + 11

for which equation is x = 1 a solution?
a: 4 - x = 1
b: 4x = 1
c: x + 3 = 4
d: x/4 = 1

Answers

Answer:

The answer is x+3=4

x+3=4

x=4-3

x = 1

Emma's class has a jar of earthworms. The class measures the length of each earthworm and records the data in a line plot. What is the difference between the lengths of the shortest and the longest earthworms?

The lowest length is 4 3/4
The highest length is 6 3/4

How would I set this up to solve??? ​

Answers

Step-by-step explanation:

refer the above attachment

What is an equation of the line that is parallel to y = 3x-8 and passes
through the point (4,-5)?

Answers

Parallel lines have equal slopes, so the slope of the line we want to find is 3.

Substituting into point-slope form,

[tex]y+5=3(x-4)\\\\y+5=3x-12\\\\\boxed{y=3x-17}[/tex]

Please help I have no idea what I’m doing

Answers

Answer:

8 is the length, and 15 is the height.

8+7 =15

8*15 = 120

Please helpppppppppppppp

Answers

Answer:

Sides: a = 46   b = 46   c = 49

Step-by-step explanation:

i think

Use the table in the following problem.

Which industry had the greatest percentage increase in profits as a percentage of sales between 1966 and 1974?
-Chemicals
-Petroleum
-Drugs

What was the percentage increase (to the nearest tenth)?
-13.4%
-11.8%

Answers

Answer:Petroleum = 15.32%

Drugs = 12.9%

Chemicals = 2.5%

Motor Vehicles = -56.5% (Negative)

Electrical = -18.8% (Negative)

Food = 3.7%

Step-by-step explanation:

A pair of boots originally cost $124. Now they are on sale for 75% of the original price. What is the sale price of the boots?

Answers

Answer:

Sale Price = 31$

Step-by-step explanation:

Sale price= originally price × (1- sale percentage /100)

=124× (1- 75/100)

=124× 0.25

=31 $

Help! The options are: proportional , not proportional

Answers

Answer:  Not proportional

=======================================================

Explanation:

Let's assume the two fractions are equal.

If so, then,

[tex]\frac{0.2}{2.6} = \frac{0.3}{3.6}\\\\0.2*3.6 = 2.6*0.3\\\\0.72 = 0.78[/tex]

The last equation is false, so the first equation is false.

Therefore, the two ratios are not proportional.

-------------

Another approach:

Calculate the decimal value of each fraction

[tex]\frac{0.2}{2.6} \approx 0.07692\\\\\frac{0.3}{3.6} \approx 0.08333\\\\[/tex]

The two ratios result in different decimal values, so the two ratios are not equal, aka not proportional.

The answer is Not proportional

I’ll give 25points but I NEED ANWSER NOW!!!!


A population of fish in a pond is decreasing by 4% each year. If the population starts
with 250 fish in the first year, how many fish will there be in year 9?
Round to the nearest whole fish.

Answers

Answer:

250*(0.96)^8=180 (rounded)

Step-by-step explanation:

The first year, we know there are 250. Moving on every year, we multiply the # from the previous year by 0.96, which is the same as taking 96 percent (excluding the decreasing 4%). This gives us a multiplication of 0.96 ^8, which we have to multiply by the original 250

How do i solve that question?

Answers

a) The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex].

b) The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex].

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex].

How to solve ordinary differential equations

a) In this case we need to separate each variable ([tex]y, t[/tex]) in each side of the identity:

[tex]6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t[/tex] (1)

[tex]6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C[/tex]

Where [tex]C[/tex] is the integration constant.

By table of integrals we find the solution for each integral:

[tex]-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C[/tex]

If we know that [tex]x = 0[/tex] and [tex]y = 1[/tex], then the integration constant is [tex]C = -2[/tex].

The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex]. [tex]\blacksquare[/tex]

b) In this case we need to solve a first order ordinary differential equation of the following form:

[tex]\frac{dy}{dx} + p(x) \cdot y = q(x)[/tex] (2)

Where:

[tex]p(x)[/tex] - Integrating factor[tex]q(x)[/tex] - Particular function

Hence, the ordinary differential equation is equivalent to this form:

[tex]\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}[/tex] (3)

The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex]. [tex]\blacksquare[/tex]

The solution for (2) is presented below:

[tex]y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C[/tex] (4)

Where [tex]C[/tex] is the integration constant.

If we know that [tex]p(x) = -\frac{1}{x}[/tex] and [tex]q(x) = x^{2} + \frac{1}{x}[/tex], then the solution of the ordinary differential equation is:

[tex]y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C[/tex]

[tex]y = x\int {x} \, dx + x\int\, dx + C[/tex]

[tex]y = \frac{x^{3}}{2}+x^{2}+C[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = -1[/tex], then the particular solution is:

[tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]

To learn more on ordinary differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

Find the value of each variable.

Answers

Answer:

x=7 y=12.124

Step-by-step explanation:

hope this helps

carys had some money. She brought a dirnk for £1.55 and a piece of cake for £1.30 she now has three-quarters of her money left. how much money did she have to start with?

Answers

Answer:

£11.40

Step-by-step explanation:

She spent £1.55 + £1.30 = £2.85.

Now she has 3/4 of the original amount.

That means she spent 1/4 of the original amount.

£2.85 is 1/4 of the original amount.

The original amount is 4 × £2.85.

She started with £11.40.

You can solve it by writing an equation.

She started with x.

x - 2.85 = 3x/4

x/4 = 2.85

x = 11.40

Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = x^3 − 9x^2 + 1

Answers

Answer:

Inc:(-∞,0) and (6,∞) Dec: (0,6)

Step-by-step explanation:

You could also use derivatives or look at the graph:

f'(x)=3x^2-18x

3x^2-18x=0

x=0,6

These are your critical points.

To check if they are really critical points or if they are increasing or decreasing and to see if they aren't inflection points, plug the points back on the equation.

Round each fraction to help you estimate the solution for the following equation: 7/8 + 6/8

Answers:

1/2

1
1 1/2

2

Answers

2 is the answer to this

Answer:

13/8 or 1 1/2

Step-by-step explanation:

Step 1

Since our denominators match, we can add the numerators.

7 + 6 = 13

So what's the answer so far?

13/8

Step 2

Can this fraction be reduced?

First, we attempt to divide it by 2...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 8. So we're done reducing.

And we're done! Here's the final answer to 7/8 + 6/8

607
ery pc
Unit test
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
Sum
Preference
Male
Female
TOTAL
ing ar
Prefers dogs
36
20
56
Prefers cats
10
26
36
No preference
2
6
8
:59
Ze wil
the
TOTAL
48
52
100
Of students in the sample, what fraction were male?
ting
Choose 1 answer:
36
100
59
ew
®
56
100
st
lay
it to
in
52

Answers

Using proportions, it is found that the fraction of students in the sample that were male is:

[tex]\frac{56}{100}[/tex]

What is a proportion?

A proportion is a fraction of total amount.

From the two-way table, we have that:

There is a total of 100 students in the sample.Of those, 56 are male.

Thus, the fraction of students in the sample that were male is:

[tex]\frac{56}{100}[/tex]

You can learn more about proportions at https://brainly.com/question/24372153

15. Macy doesn't have any money in her bank account,
but begins saving $ 15 each week. Robby has $20 in
his bank account and saves $ 10 each week. After
how many weeks will Macy and Robby have the same
amount in their accounts? Use the graph to solve.

Answers

Answer:

4 weeks

Step-by-step explanation:

because 15x4=60

and 10x4=40+ 20 =60

There are 25 newspapers in a stack. The stack weighs 15.5kg. What is the weight of each newspaper?

Answers

Answer:

0.62kg or 620g.

Step-by-step explanation:

If there are 25 newspapers in a stack that weighs 15.5kg, 15.5 divided by 25 would give you the weight of one newspaper, which is 0.62kg.

To convert kilograms to grams:

0.62kg x 1000 = 620g

Answer:

0.62 kg

Step-by-step explanation:

25 newspaper = 15.5kg

1  newspaper = ? Y

cress cross

25 newspaper Y = 15.5 kg × 1 newspaper

25 newspaper         25 newspaper

Y = 15.5 kg

     25

Y = 0.62 kg

Pleas help I’ll make most Brainly

Answers

Answer:

70%

Step-by-step explanation:

divide 21 by 30 to get .70 multiply by 100 to make percent

70% (or just move decimal two places to the right)

Answer:

70%

Step-by-step explanation:

100 ÷ 30 = 3.3333333333333

21 x 3.3333333333333/30 x 3.3333333333333 = 70/100

21/30 = 0.7

0.7 x 100 = 70%

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