A right triangle ABC is shown below:

Debora [2.8K]

The largest rational number in the list is -6/5 and it is the third number line.

8 0

4 years ago

PLEASE HELP!!! Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies total $52,000. Each

givi [52]

Alright, lets gets started.

Jullianne's start-up costs for the building, advertising, and supplies total $52,000.

she spends $680 on operating costs on daily basis.

Means Suppose the days d, the operating cost will be= $680 d$

This cost will be added in her start up cost.

The earning for d days will be = $960 d$

So, part A :

$5200 + 680 d < 960 d$

Now suppose after d days, she will start making profit means, after d days, her cost will be equal to her earning.

So, part B:

$5200 + 680 d = 960 d$

Subtracting 680 d from both sides

$5200 + 680 d - 680 d = 960 d - 680 d$

$5200 = 280 d$

Dividing 280 in both sides

$d = \frac{5200}{280}=18.6$

Means after 19 days, she will start making profit. : Answer

Hope it will help :)

7 0

3 years ago

Solve this I need it solved

gizmo_the_mogwai [7]

Answer:

option 3

Step-by-step explanation:

$Standard \ quadratic \ equation : ax^2 + bx +c$

Larger the value of '' a '' makes the parabola narrow.

A positive value of '' a '' which is close to 0 makes the parabola wide.

To find the widest graph , find the smallest a. (or a closest to zero)

option 1

$a_1 = \frac{1}{3}$

option 2

$a_2 = - \frac{4}{5}$

option 3

$a_3 = 0.3 = \frac{3}{10}$

option 4

$a_4 = -4$

Positive and negative value of ' a ' decides the direction the parabola opens.

But we have to find the widest parabola irrespective of the direction.

So we will find the smallest ' a '

$a_1 = 0.33\\a_2 = 0.80\\a_3 = 0.30\\a_4 = 4$

$a_3 \ is \ the \ smallest \ number \ or\ \\ the \ number \ closest \ to\ zero.\\\ so \ option \ 3 \ makes\ the\ widest \ parabola.$

8 0

3 years ago

Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.

Mice21 [21]

Let's say the function for the discount is f and the function for the coupon is g
f(x)= 0.1x
g(x)= x-150
If you want to the the discount then the coupon, your composition function would look like this:
f(g(x))=0.1(x-150)
Hope this helps!

7 0

3 years ago

Read 3 more answers

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

brainly.com/question/10452752

4 0

2 years ago