16.A company sells calculators for $35 each. Businesses
must order a minimum of 100 calculators, and they
must pay a shipping cost of $50. Which amount of
money represents a reasonable sum that a business
might spend to purchase calculators?
F $750
H $2990
G $1070
I $3585

Answer:

Step-by-step explanation:

The scale factor of an enlargement is greater than 1.

The scale factor of a reduction is less than 1.

A scale factor of 1 will produce a congruent figure, one the same size as the original.

_____

A longer way to say it

A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...

  (greater than original)/(original) = greater than 1

Similarly, a figure is reduced when its dimensions are less than those of the original:

  (less than original)/(original) = less than 1

Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.

Answer: 37,007 is greater

Step-by-step explanation:

Can i get a brainliest

Answer:

37,007 is greater than 30,707

Step-by-step explanation:

Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707

Answer:

step: 4(x-24x)to the power of 2 = 3-7 or -4

Step-by-step explanation:

solution: solve it

would love to have a second opinion, this is what i got.

Answer:

  (x, y) = (3/7, 1/7) or (3, 4)

Step-by-step explanation:

The second equation can be rearranged to ...

  4x^2 +9y^2 = 15xy . . . . . . multiply by xy

  4x^2 -15xy +9y^2 = 0 . . . subtract 15xy

  (4x -3y)(x -3y) = 0 . . . . . . factor

This resolves to two linear equations:

 4x -3y = 0

  x -3y = 0

__

Combined with the first equation, we get two systems of equations. We can solve both of them at once by substituting for y and using a stand-in for the coefficient of x.

  y = (3x -1)/2 . . . . first equation solved for y

  Cx -3(3x -1)/2) = 0 . . . . substitute for y in the 2nd/3rd equations (C = 1 or 4)

  2Cx -9x +3 = 0 . . . . . multiply by 2

  x(2C -9) = -3 . . . . . . .subtract 3

  x = -3/(2C -9) = 3/(9 -2C) . . . . . remembering that C = 1 or 4

__

For C=1, x = 3/(9 -2) = 3/7

  y = (3(3/7) -1)/2 = 1/7

For C=4, x = 3/(9 -8) = 3

  y = (3(3) -1)/2 = 4

The solutions are (x, y) = (3/7, 1/7) and (3, 4).

_____

Additional comment

We could have substituted for y in the quadratic form of the second equation. This would give a quadratic in x that could be solved in any of the usual ways.

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

4 = 4

Since both sides are equal to each other, then the ordered pair is a solution to the equation.

Yes, it is a solution to the equation.

Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!

Answer: The answer is 0.

Answer:

x = 33

Step-by-step explanation:

11 - 4 = 7

You need to make that fraction equal 11

33/3 = 11

I hope this helps!

When a triangle is rotated, it must be rotated through a center.

The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)

The triangle is given as: triangle ABC.

And the degree of rotation is 90 degrees clockwise.

Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.

And the orientation would point to the right of point P.

Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).

Read more about rotation at:

https://brainly.com/question/1616371

Answer:

Step-by-step explanation:

Conclusion:

Therefore, n = 1/9

Hoped this helped.

[tex]GeniusUser[/tex]

Using the Central Limit Theorem, it is found that the mean of the sampling distribution of sample proportions is 0.37.

The Central Limit Theorem establishes that, for a proportion p in a sample of size n, the sampling distribution of sample proportions has:

For this problem, about 37% of high school seniors have vaped in the past year, hence [tex]p = 0.37[/tex].

For more on the Central Limit Theorem, you can check https://brainly.com/question/4086221

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

Answer:

multiple choice is worth 2

short response is worth 4

Step-by-step explanation:

23x + 10y = 86

28x + 5y = 76

solve by elimination

multiply the top by -1 and the bottom by 2

-23x + -10y = -86

56x + 10y = 152

add them

33x = 66

x = 2

with x = 2 plug x into one of the equations

23x + 10y = 86

23(2) + 10y = 86

46 + 10y = 86

10y = 40

y = 4

x = 2 and y = 4 so

multiple choice is worth 2

short response is worth 4

Answer:

y>1/2x+2

Step-by-step explanation:

Answer:

6 55

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

Answer:  $14.5

Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage

Answer:8w^2+2

w(3w+2)+5w

First distribute the w to the parentheses:

3w^2+w

Add on the 5w to the new equation:

3w^2+2w+5w

Combine like terms:

8w^2+2

Answer: C. 3 feet

Step-by-step explanation:

1 yard is equivalent to 3 feet.

[tex]y= -\frac{3x}{2} +1[/tex]

Answer:

8,176

Step-by-step explanation:

You have to first do 8 × 5110 = 40,880

Then you divide 40,880 by 5

40,800 ÷ 5 = 8,176

Answer:

[tex]\sqrt{49 - x^{2}}[/tex]

Step-by-step explanation:

Pythagorean theorem  [tex]c^{2} = a^{2} + b^{2}[/tex] Then:

[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]

the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]

Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]

Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]

Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]

Answer:

24 square units

Hope you can get an idea from it.

Carry on learning.

Doubt clarification - use comment section.

Answer:P=2(l+w)

Step-by-step explanation: its easy

Answer: 90° + 41° =131° 180°-131° =149°

X=5.5-6

Step-by-step explanation:

Step-by-step explanation:

i think it is the answer ...

Answer:

16 and 2

Step-by-step explanation:

16+2=18

16-2=14