Ms. Nguyen gave each Student 3 pencils at The beginning of the year. She passed out 90 pencils. How many students did she have in her class?

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

Answer:

it will decrease

Step-by-step explanation:

if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down

Answer:

It will decrease

Step-by-step explanation:

There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.

I think this is the answer.

Answer:

Natural numbers , whole numbers, Integers

Answer:

It's B

Step-by-step explanation:

B makes the most sense to me

Answer:

[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]

EQUATION OF LINE PERPENDICULAR

[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]

[tex]slope, m_2 = \frac{-1}{4}[/tex]

[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]

EQUATION OF LINE PARALLEL

[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

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Answer:

141.3 km

Step-by-step explanation:

First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;

Second crater radius is C = 2(pi)(30 km) = 188.4 km

The circumference of the complex (larger) impact crater is

(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:

141.3 km

Answer:

For problem one:

a. 11

b. 3/11

c. 2/11

d. there are only 2 chips

e. 3/11

Answer:

the y-int is at the point (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

f(x)=x²+2x+3

x=0

f(0)=0²+2×0+3

f(0)=3

y=3

(0,3)

Answer:

To determine this simply multiply the values together to determine the final distance.

Step-by-step explanation:

The product of red blood cell diameter for a single blood cell multiplied by the number of red blood cells that are found within a person would enable you to find the total distance the cells would be if it were to be lined end to end.

Answer:

Step-by-step explanation:

(7 × 10^-6)(2 × 10^-13): Original Equation

(7 × 2)(10^-6 × 10^-13): Commutative Property of Multiplication (Just switched the numbers)

(14 × 10^-19): Simplify (Since you are multiplying numbers with exponents, just add the exponents: -6 +(-13) = -19)

Answer:B

Step-by-step explanation:

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

[tex]101^\circ =31^\circ +m\angle 1[/tex]

[tex]101^\circ -31^\circ =m\angle 1[/tex]

[tex]70^\circ =m\angle 1[/tex]

Therefore, the measure of angle 1 is 70 degrees.

Answer:

0% chance

Step-by-step explanation:

if the cube is 1-6 then 6 is the highest number. there is non higher.

Answer: it should be 252 in.

Step-by-step explanation:

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

We have given that,

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.

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Answer:

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

The sales department can refer to fabric B as a medium-duty fabric.

Step-by-step explanation:

edmentum :)

Answer:

6.25

Step-by-step explanation:

17.50/2=8.75

8.75+2.50=11.25

17.50-11.25=6.25

Answer:

Toni has $7.50

Step-by-step explanation:

Tobi = x

Sabi = x + 2.5

x + x +  2.5 = 17.5

2x + 2.5 = 17.5

2x = 15

x = 7.5

Answer:

(2,1)

Step-by-step explanation:

When we translate to the right, we are simply adding a value to the x axis value corresponding to the units of translation

We have the translation by 1 unit, so we are to add 1 to the value of the x-coordinate

Thus, we have this as ;

(-3 + 1, 1)

= (-2,1)

When we reflect a point (x,y) over the y-axis, its new coordinates become (-x,y)

Applying this to what we have above, the coordinate of the final point will be (2,1)

Answer:

Step-by-step explanation:

980

Answer:

Leading coefficient is the coefficient of the highest power of x.

[tex]x^5[/tex] is the highest power.

Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]

Option D

Answer:1/4

Step-by-step explanation:

Answer:

[tex]Pr = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice

[tex]n(S) = 6[/tex]

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

[tex]Multiples = \{1.,2,4\}[/tex]

[tex]n(Multiples) = 3[/tex]

So, we have:

[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]

[tex]Pr = \frac{3}{6}[/tex]

Simplify

[tex]Pr = \frac{1}{2}[/tex]

Given:

The equation of parallel line is:

[tex]3x-2y=5[/tex]

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-1,3\right)[/tex]

It means the required line passes through the point (-1,3).

The slope of line [tex]Ax+By=C[/tex] is:

[tex]m=\dfrac{-A}{B}[/tex]

The given equation is:

[tex]3x-2y=5[/tex]

Here, A=3 and B=-2. So, the slope of the line is:

[tex]m=\dfrac{-3}{-2}[/tex]

[tex]m=1.5[/tex]

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=1.5(x-(-1))[/tex]

[tex]y-3=1.5(x+1)[/tex]

[tex]y-3=1.5x+1.5[/tex]

Adding 3 on both sides, we get

[tex]y=1.5x+1.5+3[/tex]

[tex]y=1.5x+4.5[/tex]

Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].

Answer:

[tex]595.54[/tex]

Step-by-step explanation:

The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].

Substituting given values, we have:

[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]