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3 years ago

If (a+b) / (x−y) = 3/5 then (10a + 10b) / (9x−9y) = ?

Mathematics

2 answers:

DerKrebs [107]3 years ago

6 0

Answer:

The answer is 2/3.

Step-by-step explanation:

Conformed by RSM.

lbvjy [14]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

Look at what you are getting on the right hand question. 10a +10b has a common factor that can be pulled out. It is 10

10a + 10b = 10(a + b)

Now look at the denominator

9x - 9y = 9(x -y)

There are a lot of possible answers.

Mine would be to multiply 3/5 * 10/9

$\dfrac{3}{5}*\dfrac{10}{9} = \dfrac{30}{45} = \dfrac{2}{3}$

(10a + 10b)/(9x - 9y) = 2/3

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Question 3)

Given

The point (1, -5)

The slope m = -5/6

Using the point-slope form of the equation of a line

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

m = -5/6

(x₁, y₁) = (1, -5)

substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line

$y-y_1=m\left(x-x_1\right)$

$y-\left(-5\right)=-\frac{5}{6}\left(x-1\right)$

$y+5=-\frac{5}{6}\left(x-1\right)$

Thus, the point-slope form of the equation of the line is:

$y+5=-\frac{5}{6}\left(x-1\right)$

Question 4)

Given

The point (-1, 5)

The slope m = -7/2

In our case:

m = -7/2

(x₁, y₁) = (-1, 5)

substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line

$y-y_1=m\left(x-x_1\right)$

$y-5=-\frac{7}{2}\left(x-\left(-1\right)\right)$

$y-5=-\frac{7}{2}\left(x+1\right)$

Thus, the point-slope form of the equation of the line is:

$y-5=-\frac{7}{2}\left(x+1\right)$

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3 years ago

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Answer:

Step-by-step explanation:

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Savatey [412]

Answer:

D 20 *1.10 * 1.05

Step-by-step explanation:

We have 19.8 tons of wheat. That is close to 20 tons

We increase by 9.8 percent. 9.8% is close to 10%

When we increase, that is 100% of what we had plus the increase, so we multiply by 100 +10% or 110%. In decimal form that is 1.1

20 *1.10

Then the next year we increase by 5.1%. That is close to 5%

We have 100% plus the 5% or 105%, which in decimal form is 1.05

We multiply what we had (20 *1.10) by 1.05

20 *1.10 * 1.05

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3 years ago

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Varvara68 [4.7K]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given \: Rules}}$

The sum of the number in each of the four rows is the same
The sum of the numbers in each of the three columns is the same
The sum of any row does not equal the sum of any column

$\bold{\underline{ Let's \: Begin}}$

According to the Second rule :-

$\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }$

$\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}$

According to the first rule :- 

$\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}$

$\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}$

From ( 1 ) we got :-

$\sf{ 158 + b = 166 + a, 156 + d = 166 + a }$

$\sf{ b = 166 - 158 + a, d = 166 - 156 + a }$

$\sf{ b = 8 + a, d = 10 + a ...(3)}$

Subsitute (3) in ( 2 ) :-

$\sf{229+a = 161+8+a+c = 168+10+a+e}$

$\sf{ 229+a = 169+a+c = 178+a+e}$

We can write it as :-

$\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}$

$\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}$

$\sf{ c = 60 \: and \: e = 51 }$

Subsitute the value of c and e in ( 1 ):-

$\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }$

$\sf{ 158 + b = 156 + d = 166 + a = 189}$

Now, 

$\sf{ For \: b, 158 + b = 189 }$

$\sf{ b = 189 - 158 }$

$\sf{ b = 31}$

$\sf{ For \: d , 156 + b = 189 }$

$\sf{ d = 189 - 156 }$

$\sf{ d = 33}$

$\sf{ For \: a, 166 + a = 189 }$

$\sf{ a = 189 - 166 }$

$\sf{ a = 23 }$

Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .

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mylen [45]

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Step-by-step explanation:

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