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madreJ [45]
3 years ago
13

barry's deck of cards contains 40 blue cards and 70 red cards. Max's deck of cards contains the same number of blue cards, but t

he ratio of blue cards is 8:9. How many total cards does Max's deck of cards contain?
Mathematics
2 answers:
Amanda [17]3 years ago
8 0
110
add all the number

spayn [35]3 years ago
4 0

Answer: London bridge is falling down

Step-by-step explanation: is falling down

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Simplify the expression by factoring, showing the steps in your work.
alexdok [17]

Given:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

12 x^{2}+31 x+7

31x can be written as 3x + 28x.

    =\left(12 x^{2}+3 x\right)+(28 x+7)

Take 3x common in 1st two terms and 7 common in next two terms.

    =3 x(4 x+1)+7(4 x+1)

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

    =(4 x+1)(3 x+7)

In the same way, factorize the denominator:

16 x^{2}+8 x+1

8x can be written as 4x + 4x.

     =(16 x^{2}+4 x)+(4x+1)

Take 4x common in 1st two terms and 1 common in next two terms.

     =4x(4 x+1)+1(4x+1)

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

     =(4x+1)(4x+1)

Substitute the terms we found for numerator and denominator:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}

Cancel the common factors.

                        $=\frac{3 x+7}{4 x+1}

The simplified expression is \frac{3 x+7}{4 x+1}.

3 0
3 years ago
The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to mod
nataly862011 [7]

Answer:

  D.  |C -305,000| ≤ 80,000

Step-by-step explanation:

Such an equation will say that the difference from the average of these values is at most half of their difference.

  | C -(225000+385000)/2 | ≤ (385000 -225000)/2

  |C -305,000| ≤ 80,000 . . . . . matches choice D

8 0
3 years ago
Tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?
azamat

Tess and Jack are both correct with their claims

<h3>How to determine who is correct?</h3>

The attached image completes the question

From the complete question, we have the following highlights

  • The shape has equal side lengths
  • The angles at the vertices of the shape are right angles

The above properties represent a square

A rhombus can also have the above properties when the vertices are at 90 degrees

Hence, Tess and Jack are both correct with their claims

Read more about squares and rhombus at:

brainly.com/question/20627264

#SPJ1

4 0
1 year ago
What is 27331 /256 in a mixed number
yuradex [85]
Answer: 106 and 195/256
4 0
2 years ago
Read 2 more answers
Graph the equation y =3/5 x on the coordinate plane.​
notka56 [123]

Step-by-step explanation:

See above graph.......

4 0
2 years ago
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