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Tomtit [17]
3 years ago
11

Need help !!!Divide 5a^2 + 6a - 9 into 25a^4 + 19a^2 - a - 78.

Mathematics
1 answer:
lana [24]3 years ago
6 0
Hello,

Maybe i have not understood "into".

\dfrac{25a^4+19a^2-a-78}{5a^2+6a-9} =5a^2-6a+20+ \dfrac{-175a+102}{5a^2+6a-9}
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2(4x-1)+3=7<br> i'm little confused on this
Ratling [72]

Answer:

x = \frac{3}{4}

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = \frac{6}{8}  <----- to reduce, divide the numerator and denominator by 2

Hence,

x =  \frac{3}{4}

4 0
3 years ago
Complete the following statement.<br><br> 20% of $55 = $____
Eva8 [605]

Answer:

$11

Step-by-step explanation:

Let's take 20% and convert it into a decimal, which is .20. Multiply that percentage by $55 (.20 * 55) and you get $11, which is the answer.

3 0
2 years ago
What is 52cm as a fraction of 90cm? (as a simplified fraction)
katrin2010 [14]

Answer:

\frac{26}{45} and \frac{3}{11}

Step-by-step explanation:

(a)

Expressing as a fraction

\frac{52}{90} ( divide numerator/ denominator by 2 )

= \frac{26}{45} ← in simplest form

(b)

Expressing as a fraction

\frac{30}{110} ( divide numerator/ denominator by 10 )

= \frac{3}{11} ← in simplest form

5 0
3 years ago
A smaller square is within a larger square as shown below. A point is chosen at random in the larger square. What percent of the
Bas_tet [7]

Answer: 84.5%

Step-by-step explanation:

15.2 × 15.2 = 231.04 cm² (area of the entire large square)

5.98 × 5.98 = 35.76 cm² (area of the small square)

large square - small square = area of the blue region

231.04 - 35.76 = 195.28 cm² (area of the blue region)

\frac{area of the blue region}{large square} = percentage of time that the point will be in the blue region

\frac{195.28}{231.04} = 0.845 --> 84.5%

4 0
3 years ago
The sum of two numbers is 62, and their difference is 12. What are the numbers?
Ede4ka [16]
X + y = 62 

x - y = 12

Move x over so y is alone in one of the above equations,

y = 62-x

Now substitte in y

x-(62-x) = 12

x - 62 + x = 12

2x = 12 + 62

2x/2 = 74/2

x = 37

Now for y sub in the x!

x + y = 62

(37) + y = 62

y = 62 - 37

y = 25.

So 25 + 37 =62

and 37 - 25 = 12


Method 2 :
Start by stacking the 2 original equations from above,

x+y=62
x-y=12
You want to "cancel" out one of the variable so,

x+y=62
+  +  =  +
x - y =12

So then you add,

2x = 74

2x / 2 = 74 / 2

x = 37.

Now you can once again sub it back into the original equation to solve for y,

x+y=62
(37)+y=62
y=62-37
y=25

Hope this helps!








5 0
3 years ago
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