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Montano1993 [528]
3 years ago
11

Which is the first step in simplifying the expression 2(x + 3) + 5?

Mathematics
1 answer:
mina [271]3 years ago
5 0
I believe the answer would be B
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Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=
Nezavi [6.7K]

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

6 0
3 years ago
Its math please help me
Colt1911 [192]

Answer:

460

Step-by-step explanation:

if you look at the values you'll notice the next month is just half their value

7360 / 2 = 3680

3680 / 2 = 1840

1840 / 2 = 920

so

920 / 2 = 460 which should be month 5

7 0
2 years ago
Divide 110 g of salt in ratio 5 : 8 : 9; what is the result ?
vekshin1

110grams÷22 =5

5+8+ 9 =22

5 x5=25

5x8=40

5x9=45

The ratio is 25:40:45

5 0
3 years ago
How do you write 0.9 as a percentage?
mamaluj [8]
0.9 as a percentage would be 0.9% it doesn't really change
7 0
3 years ago
Which shows the graph of the solution set of 3y – 2x > –18?
nikdorinn [45]

Answer:

Graph of the inequality 3y-2x>-18 is given below.

Step-by-step explanation:

We are given the inequality, 3y-2x>-18

Now, using the 'Zero Test', which states that,

After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.

So, after substituting (0,0) in 3y-2x>-18, we get,  

3\times 0-2\times 0>-18

i.e. 0 > -18, which is true.

Thus, the solution region is towards the origin.

Hence, the graph of the inequality 3y-2x>-18 is given below.

8 0
3 years ago
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