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Nady [450]
2 years ago
5

PLSSS HELP 50 POINTSSS Select the correct answer.

Mathematics
1 answer:
Margarita [4]2 years ago
3 0
I think the answer is D but I could be wrong
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Please help me photo include
nikklg [1K]

Answer:

\frac{-117}{10}

Step-by-step explanation:

1) Change the mixed fractions into improper fractions:

-3\frac{1}{5} + (-8\frac{1}{2} )\\= \frac{-16}{5} - \frac{17}{2}

2) Multiply the first fraction by 2/2 and the second fraction by 5/5 in order to create common factors on the denominator (You can do this because you are essentially multiplying by one, for example 2/2 = 1):

\frac{-16}{5} *\frac{2}{2}  - \frac{-17}{2} * \frac{5}{5} \\ =\frac{-32}{10} - \frac{85}{10}

3) Simplify the numerator(top part) while keeping the denominator(bottom part) the same:

\frac{-32}{10} -\frac{85}{10}  \\\\=\frac{-32 - 85}{10}\\ \\= \frac{-117}{10}

5 0
3 years ago
1. Solve for x. Show each step of the solution<br> 4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Vladimir [108]
36-4.5x+36=102-7.5x-60
72-4.5x=42-7.5x
72+3.5x=42
3.5x=-30
x=8.57
7 0
3 years ago
What is 93756391215 divided by 3
emmasim [6.3K]
31252130405 is the answer :)
7 0
3 years ago
Read 2 more answers
What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49
agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from  

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the  x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of  1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by  

2

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:  

62 = 3 ;  3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )  

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the  y  term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:  

( 3 , 4 )

7 0
3 years ago
Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups un
Viefleur [7K]

Answer:

12

Step-by-step explanation:

Given that

Current count of pushups = 8

Number of increase in pushups each day = 2

The desired pushup goal on daily basis = 30

Days require = x= ?

as we can conclude the number of pushups would increase by following sequence

8, 10, 12, 14, 16, ......30

Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.

First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.

So

X1 = 8

Xn = 30

d = 2

Using the formula of nth term for arithmetic sequence

Xn = X1 + (n-1)d

Substituting the values

30 = 8 + (n-1)2

30-8 = (n-1)2

22 = 2n -2

22+2 = 2n

2n = 24

n = 24/2

n = 12

So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.


5 0
3 years ago
Read 2 more answers
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