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3 years ago

Which expression is equivalent to 45a-10b

Mathematics

2 answers:

Nitella [24]3 years ago

6 0

Answer:

D: 5(9a-2b)

Step-by-step explanation:

Each expression in the choices is factored, so we need to see how to factor the given expression.

To factor the given expression, you need to factor out the greatest common factor of both terms.

The terms are 45a and -10b.

The GCF of 45 and -10 is 5.

The GCF of a and b is 1. There is no common factor other than 1.

The GCF of the 2 terms is 5, so we factor out a 5.

45a - 10b = 5(9a - 2b)

Answer: D: 5(9a-2b)

emmainna [20.7K]3 years ago

4 0

The answer is D............

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Step-by-step explanation:

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3 years ago

A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation

eduard

First Let we solve the Original system of equations:

equation (1): $x+3y=5$

equation (2): $7x-8y=6$

Multiplying equation (1) by 7, we get

$7x+21y=35 -->(3)$

$7x-8y=6 --> (2)$

Subtracting,

$29y=29$ implies $y=1$

Then $x=5-3(1)=2$

Thus the solution of the original equation is $x=2, y=1.$

Now Let we form the new equation:

Equation 2 is kept unchanged:

Equation (2): $7x-8y=6$

Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:

Equation (1): $8x-5y=11$

Now solve this two equations: $8x-5y=11, \\ 7x-8y=6$

Multiply (1) by 7 and (2) by 8,

$56x-35y=77$

$56x-64y=48$

Subtracting, $29y=29$ implies $y=1$

Then x=2.

so the solution for the new system of equation is x=2, y=1.

This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations

4 0

3 years ago

Read 2 more answers

I WILL GIVE YOU ALL MY POINTS PLEASE JUST ANSWER THIS BEFORE I BREAKDOWN AND CRY HAHA NO BUT SERIOUSLY PLEASE ANSWER PLEASEEE IM

Elena-2011 [213]

Answer:

probability is 9

Step-by-step explanation:

4 0

3 years ago

IfA=(-2,-4) and B=(-8,4), what is the length of AB?

lisabon 2012 [21]

Answer:

<h2>10 units </h2>

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

$ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units$

Hope this helps..

Good luck on your assignment

3 0

3 years ago

Options are

erica [24]

Answer:

B and C

Step-by-step explanation:

Basically the answer is H + 30% of H.

30% can be written as 0.30, 3/10 or 30/100 for example.

B and C are the equivalent of H + 30% or H.

4 0

3 years ago