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12345 [234]
4 years ago
8

Last year 40 people adopted a mantee through Fia's foundation. This year 30% more people adopted a manatee . How many people ado

pted a manatee this year
Mathematics
2 answers:
Charra [1.4K]4 years ago
3 0

Number of people adopted a mantee through Fia's foundation = 40

30% more are people adopted a manatee

Number of people adopted = 30% of 40 = (0.30)(40) = 12

People adopted a manatee this year = number of people + 30% of 40

People adopted a manatee this year = 40 + 12

People adopted a manatee this year = 52


Westkost [7]4 years ago
3 0
To find this, multiply 40 (last years adoption numbers) time 1.3 (last years + the 30% increase) to get 52.
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Write and equation of the line that passes through the point (2,-6) and is parallel to the line x-2y=8
mestny [16]

Answer:

y=0.5x-7

Step-by-step explanation:

x-2y=8

2y=x-8

y=0.5x-4 m1=0.5

m1=m2=0.5 - the slope for parallel lines are equaly

y=m2x+b

-6=0.5*2+b

b=-7

y=0.5x-7

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3 years ago
Clinton earns $12 per hour cutting grass. he earned a total of $162 last week cutting grass. exactly how msny hours did he spend
professor190 [17]

Answer:13.5


Step-by-step explanation:

12•13.5=162

6 0
3 years ago
What are the x-intercepts of the function f(x) = -2x2 – 3x + 20?
Murljashka [212]

Answer:

the interception of the function will be equals -2x+5 And x-4

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3 years ago
35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0
2 years ago
7. The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles. what is the image of oh after a rotation of 18
velikii [3]

Answer:

The image of OH is ON.

Step-by-step explanation:

Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.

The dashed line segments form 30 degree angles.

If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.

Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.

The line OH and ON lies on a straight line therefore the image of OH is ON.

3 0
3 years ago
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