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Vlad1618 [11]
3 years ago
8

Need help 20-24 anything helps

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0
I’ve attached the work done on the paper
Hope this helped!

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Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends.
Korolek [52]

Answer: 5 pack

Step-by-step explanation:

From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.

Therefore, each friend will get:

= 30 / 6

= 5 packs

4 0
3 years ago
Read 2 more answers
A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st
professor190 [17]

Answer:

<u>Part A:</u>

<u>The equation describing the relationship between speed and time is:</u>

<u>s = 32t</u>

<u>Ordered pairs of the form (speed, time) are:</u>

<u>(32, 1)</u>

<u>(64, 2)</u>

<u>(96, 3)</u>

<u>(128, 4)</u>

<u>Part B:</u>

<u>s = 32t</u>

<u>s = 32 * 5 = 160 feet per second</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3.  Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

7 0
3 years ago
Casey uses some of his savings on batting practice. The cost of renting a batting cage for 1 hour is $6. He rents a cage for 9 h
viktelen [127]

If 1 hour is $6.00 Then 1 month is $54 Same with the other month and 54+54=108 So Casey has 108 less dollars than he had before

3 0
3 years ago
find the equation in slope intercept form of a line that is a perpendicular bisector of segment AB with endpoints A(-5,5) and B(
aliina [53]

The equation in slope intercept form of a line that is a perpendicular bisector of segment AB with endpoints A(-5,5) and B(3,-3) is y = x + 2

<h3><u>Solution:</u></h3>

Given, two points are A(-5, 5) and B(3, -3)

We have to find the perpendicular bisector of segment AB.

Now, we know that perpendicular bisector passes through the midpoint of segment.

<em><u>The formula for midpoint is:</u></em>

\text { midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here x_1 = -5 ; y_1 = 5 ; x_2 = 3 ; y_2 = -3

\text { So, midpoint of } A B=\left(\frac{-5+3}{2}, \frac{5+(-3)}{2}\right)=\left(\frac{-2}{2}, \frac{2}{2}\right)=(-1,1)

<em><u>Finding slope of AB:</u></em>

\text { Slope of } A B=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { Slope } m=\frac{-3-5}{3-(-5)}=\frac{-8}{8}=-1

We know that product of slopes of perpendicular lines = -1  

So, slope of AB \times slope of perpendicular bisector = -1  

- 1 \times slope of perpendicular bisector = -1  

Slope of perpendicular bisector = 1

We know its slope is 1 and it goes through the midpoint (-1, 1)

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

where "m" is the slope of the line and "c" is the y-intercept

Plug in "m" = 1

y = x + c   ---- eqn 1

We can use the coordinates of the midpoint (-1, 1) in this equation to solve for "c" in eqn 1

1 = -1 + c

c = 2

Now substitute c = 2 in eqn 1

y = x + 2

Thus y = x + 2 is the required equation in slope intercept form

7 0
4 years ago
Find the zeros of each function. state the multiplicity of multiple zeros
GenaCL600 [577]
I got 1,2,3,4,5,6,7,8 M's in my bank account

4 0
3 years ago
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