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Nataliya [291]
3 years ago
15

15 POINTS

Mathematics
1 answer:
sp2606 [1]3 years ago
8 0

Answer:

A: 8/9

Step-by-step explanation:

1 3/5 = 8/5

8/5 x 2/3 x 5/6

  16/15 x 5/6 = 80/90 = 8/9

80 divided by 10 = 8

90 divided by 10 = 9

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Simplify (5x - 7y) - ( x + 3y)
ruslelena [56]
This equation simplified is: 14x - 10y



4 0
2 years ago
A model car is 8 inches long and 5.2
Sphinxa [80]
Use proportions here - 8/5.2 = 96/width of actual car. using cross multiplication, 5.2*96 = 8x. this gives you 499.2 = 8x. divide both sides by eight to get x=62.4. the width of the actual car is 62.4 inches.
7 0
2 years ago
Your realized income is $36,864.00/yr. Your fixed and housing expenses are 32% and your savings are 15% of your realized income
andriy [413]

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

6 0
3 years ago
Segments CD, AE, and BF are medians of triangle ABC.
EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that AM = 4x - 5 and ME=x+3

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

AM=2\times ME

Substituting the values, we get,

4x-5=2(x+3)

Simplifying, we get,

4x-5=2x+6

Subtracting both sides of the equation by 2x, we have,

2x-5=6

Adding both sides of the equation by 5, we have,

2x=11

Dividing both sides of the equation by 2, we get,

x=5.5

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0
3 years ago
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
3 years ago
Read 2 more answers
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