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3 years ago

Can someone help me with these two

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

Answer:

The first equation answer is 10

And the second one 6

Step-by-step explanation:

The first equation

2/5 x +3= 2/3x +1/3

2x + 15/5 = 6x+3/9 the cress cross

9(2x + 15) = 5(6x + 3)

18x + 135 = 30x +15

135-15 = 30x - 18x

120 = 12x

120/12 =12x/12

10 = x

X =10

The second one

-2.6b +4 =0.9b - 17

-2.6b - 0.9b = - 17 - 4

-2.6b + (-0.9b) = - 17 + (-4)

-3.5b = - 21

-3.5b/-3.5 = - 21 /-3.5

B= 6

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9. If 15 men working 10 days earn $500. How much will 12 men earn working 14,

Leno4ka [110]

Answer:

Firstly need to understand the questions.

If 15 men working 10 days, They earn 500.

If 12 men working 14 days, how much they will earn?

Step-by-step explanation:

560

Solution:

15 men working for 10 days =500

1 man working for 1 day = 500/(10*15) =10/3

Now 12 men working for 14 days = 12*14*10/3 =560.

I am pretty sure that answer is right.

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2 years ago

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

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3 years ago

Please answer asap this person made a mistake what is the error and correct solution to this problem

stiv31 [10]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$(4+x)^2=4^2+2\cdot 4\cdot x+x^2=16+\boxed{8}x+x^2\\\\\text{ ... and not ...}\\\\16+\boxed{4}x+x^2$

So the correct equation becomes.

$x^2+64=16+8x+x^2\\\\8x=64-16=48\\\\\text{ we divide by 8 both sides of the equation.}\\\\x=\dfrac{45}{8}=6$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

3 years ago

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