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fomenos
3 years ago
12

A number is increased by 35%. The result is 324

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

Answer:

x = 323.65

Step-by-step explanation:

A number can be represented through x.

x + 35% = 324

35% means 0.35

x + 0.35 = 324

   - 0.35    - 0.35

x = 323.65

hope this helps!

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irina [24]

Option D:

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7

Solution:

Given expression is \left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right).

<u>To find the product of the expression:</u>

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)

Multiply each term of the first term with each term of the 2nd term.

           =y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)

Using the exponent rule: a^m \cdot a^n = a^{m+n}

           =\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)

           =8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7

Arrange the terms with same power.

           =8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7

           =8 y^{4}+25 y^{3}+60 y^{2}+10y+7

Hence option D is the correct answer.

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7

6 0
3 years ago
The diameter of the handle of a softball bat
Pachacha [2.7K]

Answer:

The answer is D. 14 in.

Step-by-step explanation:

8 0
3 years ago
Which graph best represents -5y = -6x + 15
frutty [35]

Answer: Option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

-5y = -6x + 15

Solve for "y" in order to write in Slope-Intercept form:

y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3

Now you can identify that that the slope and the y-intercept are:

m=\frac{6}{5}\\\\b=-3

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that  best represents the given equation is the graph shown in the Option c.

3 0
3 years ago
What is the value of the expression when n=3 -2(5+n-8-3n)
Greeley [361]
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n
7 0
3 years ago
Read 2 more answers
The amount of interest accrued on<br> a $7,000 loan with 6% interest after t years.
Misha Larkins [42]

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

6 0
3 years ago
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