What is the ratio 25 to 45 as a simplified fraction

Suppose we have function defined by : f(x)= -3x+7 what values of x give f(x) =-17?

Leya [2.2K]

Answer:

x = 8

Step-by-step explanation:

if f(x) = -17

then we can type:

- 3 x + 7 = -17

solving for "x", subtract 7 from both sides

- 3 x = - 17 - 7

- 3 x = - 24

divide both sides by -3 to isolate "x"

x = -24 / (-3)

x = 8

6 0

3 years ago

F(x) = x + 4 g(x) = 3x ^ 2 - 7 Find (fg)(x) .

Triss [41]

Answer:

Step-by-step explanation:

(fg)(x) )

$(x+4)*(3x^{2} -7)$ = $3x^{3} -7x+12x^{2} -28$ = $3x^{3} +12x^{2} -7x-28$

7 0

3 years ago

Cos10+cos80/sin10+sin80=1

eduard

Evaluate cos(10)cos10 to get 0.984807750.98480775.0.98480775cos(80)−sin(10)sin(80)0.98480775⁢cos80-⁢sin10⁢sin80Evaluate cos(80)cos80 to get 0.173648170.17364817.0.98480775⋅0.17364817−sin(10)sin(80)0.98480775⋅0.17364817-⁢sin10⁢sin80Multiply 0.984807750.98480775 by 0.173648170.17364817 to get 0.171010070.17101007.0.17101007−sin(10)sin(80)0.17101007-⁢sin10⁢sin80Evaluate sin(10)sin10 to get 0.173648170.17364817.0.17101007−1⋅0.17364817sin(80)0.17101007-1⋅0.17364817⁢sin80Multiply −1-1 by 0.173648170.17364817 to get −0.17364817-0.17364817.0.17101007−0.17364817sin(80)0.17101007-0.17364817⁢sin80Evaluate sin(80)sin80 to get 0.984807750.98480775.0.17101007−0.17364817⋅0.984807750.17101007-0.17364817⋅0.98480775Multiply −0.17364817-0.17364817 by 0.984807750.98480775 to get −0.17101007-0.17101007.0.17101007−0.171010070.17101007-0.17101007Subtract 0.171010070.17101007 from 0.171010070.17101007 to get 0.0

7 0

3 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t

padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = $\frac{5}{8}x$

Number of Voters for green color = $\frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)$

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = $\frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}$

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

$x=\frac58x+\frac{15x}{72}+48$

Combining like terms we get;

$x-\frac58x-\frac{15x}{72} = 48$

Now we will make denominators common using LCM we get;

$\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48$

Now denominators are common so we will solve the numerators we get;

$\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48$

Now multiplying both side by 6 we get;

$\frac{1}{6}x\times6=48\times6\\\\x = 288$

Number of voters for blue color = $\frac{5}{8}x=\frac{5}{8}\times 288= 180$

Hence There were 180 voters for blue color.

4 0

4 years ago

Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?

skad [1K]

The defenition of a rectangle is that it has 4 angles that measure 90 degrees
ther are infinite legnths and inifinite numbers
intinite side legnths so infinite number of unique rectangles

4 0

3 years ago

Read 2 more answers

What is the ratio 25 to 45 as a simplified fraction​

What is the ratio 25 to 45 as a simplified fraction