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2 years ago

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

Mathematics

1 answer:

Andrews [41]2 years ago

4 0

Answer:

x = $\frac{1}{3}$ & 3

Step-by-step explanation:

$\frac{8x}{10x-2}$ = $\frac{5x+3}{7x}$

Cross multiply:

$\frac{8x}{10x-2}$ = $\frac{5x+3}{7x}$ ⇒ (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 = $\frac{1}{3}$ ;

x-3 = 0

x = 3;

x = $\frac{1}{3}$ , 3

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Find the distance between the points (1, 7) and (10, 1) Please help:)

klio [65]

Answer:

The distance between the points (1, 7) and (10, 1) is 10.82 units

Step-by-step explanation:

Distance between two points

The distance between points A(x,y) B(w,z) can be calculated with the formula:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

$d=\sqrt{(1-7)^2+(10-1)^2}$

$d=\sqrt{(-6)^2+(9)^2}$

$d=\sqrt{36+81}=\sqrt{117}\approx 10.82$

The distance between the points (1, 7) and (10, 1) is 10.82 units

7 0

2 years ago

Two brothers, Gethin and David, share a sum of money in the ratio 2:7.

Vitek1552 [10]

12£ and 42£

Step-by-step explanation:

gethin gets 2/9

David gets 7/9

total money is equal to 54

Gethin gets 54x 2/9=12

David gets 54x7/9=42

4 0

3 years ago

The area of a door is 3024 square inches. If

olasank [31]

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

7 0

2 years ago

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The

Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch : 176 males, 264 females

Total number of peoples is

$46+254+176+264=740$

Total number of males is

$46+176=222$

The probability of male is

$P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3$

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

$176+264=440$

The probability of persons who buys lunch is

$P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}$

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

$P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}$

P(male | buys lunch) $=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}$

P(male | buys lunch) $=\frac{\frac{176}{740}}{\frac{22}{37}}$

P(male | buys lunch) $=\frac{2}{5}=0.4$

Therefore the correct option is 4.

8 0

3 years ago

Read 2 more answers

The graph below shows the annual cost (green) and sales (red) of a company. What is the break-even point?

s344n2d4d5 [400]

The break-even point for the graph is at 11 units.

Step-by-step explanation:

Break-even point refers to the point on the graph where either of the parameters of the graph intercepts each other. The corresponding location of the position where the intersection occurs gives the break-even point.

In the graph annual cost is plotted in green on the Y axis, while the sales are plotted on x-axis in red.

When we observe the graph carefully, we find that two-line intercepts. When the point at which interception occurs is extended on the x-axis, the point is 11 units, which gives us the break-even units.

Hence the point is 11 units.

3 0

2 years ago