Leonard used 2/7 of his paycheck to pay his cell phone bill. How much was Leonard's cell phone bill?

Moises is determining the solution to the system of equations that is show below. Equation representing line A: mc018-1.jpg Poin

dimulka [17.4K]

Answer:
equation of line is:
y = -2x - 6

Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept

(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c

(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6

Based on the above, the equation of the line is:
y = -2x - 6

Hope this helps :)

6 0

2 years ago

The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz

Olin [163]

Given parameters:

Recommend wheelchari ramp slope = $\frac{1}{12}$

Rise of the new wheel chair ramp = 22 inches

Horizontal length = 24feet

Unknown:

Is the ramp steeper than the recommended = ?

Slope is the ratio of rise to the horizontal distance covered

Mathematically;

Slope = $\frac{Rise}{horizontal distance}$

Slope of the wheel chair ramp;

covert 24 feet to inches;

1 foot = 12 inches

24 feet = 24 x `12 = 288inches

Slope = $\frac{22}{288 }$ = $\frac{11}{144}$

The two slopes being compared are;

$\frac{1}{12}$ and $\frac{11}{144}$

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0

2 years ago

Matty’s piano book includes 15 songs in the key of C, 10 in the key of G, and 5 in the key of F. The songs from all three keys a

Marta_Voda [28]

Matty's piano is going to a random key of c next.

6 0

2 years ago

The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

5 0

2 years ago

A baseball player has 39 hits in 134 times at bat. how many hits must he get in the next 46 times at bat to finish the year with

faust18 [17]

Answer:

He must get 33 hits in his next 46 times at bat to finish the year with a .400 batting average

Step-by-step explanation:

The player has already batted 134 times and will still bat 46 times. So in the end of the year, he is going to have 134 + 46 = 180 at bats.

How many hits does he need to have to hit .400?

This is 40% of 180, which is 0.4*180 = 72.

He has already 39 hits, so in his next 46 at bats, he will need 72 - 39 = 33 hits.

4 0

2 years ago