All categories

3 years ago

Herman already has 1 sticker, and he will get 33 additional stickers from each sticker pack he buys.

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

Herman needs to buy 3 sticker packs to have a total of 100 stickers.

Explanation:

33 x 3 = 99

99 + 1 = 100

You might be interested in

Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random c

Hatshy [7]

Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100

4 0

3 years ago

What is the slope of the line containing the midpoint of the segment with endpoints at $(2, 4)$ and $(0, -2)$ and the midpoint o

oksian1 [2.3K]

The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

<h3>What is the slope of line?</h3>

The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.

Midpoints of 1 line segment are -

= (2+0 / 2 , 4-2 / 2)

= (1,1)

Mid points of line 2 =

= (5+1 / 2, 1+5 / 2)

= (3,3)

slope -

The required slope = rise / run

= (y1-y2)/(x1-x2)

= (1-3)/(1-3)

= 1

Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

To learn more about slope and mind-points from the given link

brainly.com/question/5792883

#SPJ4

6 0

2 years ago

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago

Y-4=0 in standard form

wolverine [178]

Standard form : Ax + By = C

y - 4 = 0
y = 4...this is a horizontal line and a horizontal line has a 0 slope

so in standard form, ur equation is : 0x + y = 4

7 0

3 years ago

PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL

Stels [109]

Answer: w = 4 $\frac{1}{3}$

Step-by-step explanation:

Let the unknown number be w , then

the product of w and 3 = 3w

Nine less than the product of 3 and the number = 3w - 9

completing the equation , we have

3w - 9 = 4

add 9 to both sides

3w = 13

w = 13/3

w = 4 $\frac{1}{3}$

6 0

3 years ago