at the zoo,there were 3 times as many monkeys as lions.tom counted a total of 24 monkeys and lions.how many monkeys were there

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

1 year ago

Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5

GrogVix [38]

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically, you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10. 34 divided by 10 is 3.4.

3 0

2 years ago

Find the quotient. 4^10/4^2

shutvik [7]

Answer:

a

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?

Effectus [21]

Answer:

4 ft 2 in.

Step-by-step explanation:

A door to a playhouse is 50 inches tall

we know that

1 in---------------> is 0.0833333 ft

so

50 in-------------> 50*0.0833333---------> 4.167 ft

4.167 ft----------> [4 ft+0.167 ft]

remember that

1 in---------------> is 0.0833333 ft

X in----------------> 0.167 ft

X=0.167/0.0833333----------> X=2 in

4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]

5 0

2 years ago

A store sells 6 t-shirts for 56.58.what is the unit cost per t-shirty

r-ruslan [8.4K]

56.58 divided by 6 would be 9.43 per shirt

8 0

3 years ago