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lorasvet [3.4K]
2 years ago
12

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different compan

ies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y = 0.75x. Company B: y = 10 + 0.50x. How many bars would the team need to purchase from each company in order for the total cost to be equal?
Mathematics
2 answers:
pav-90 [236]2 years ago
8 0

Answer: 40 bars


Step-by-step explanation:


Alex73 [517]2 years ago
3 0
Let the equations given for the costs for Company A and Company B be equal such that,
                                            y (A) = y (B)
                                             0.75x = 10 + 0.50x
The value of x from the given equation is 40. Thus, each team should purchase 40 health bars. 
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82.25% of the employees at Industrial Mechanics are college graduates. If 254 employees are college graduates, what is the total
neonofarm [45]

Answer:

c. 309

Step-by-step explanation:

Hello

to solve the problem we will use a rule of three

Step 1

82.5%  ⇒ 254 emp

100%   ⇒ xemp

x\emp\ (82.25\%)=254\emp*100\%\\\x\ emp\ =\frac{254\ emp*100\%}{(82.25\%)}\\ X=308.8145897\\

x represents number of employees so it must be a positive integer

x=309

step 2

prove 1

x*(82.25/100)=308*(82.25/100)

82.25 % of x = 254.1525

x=254, ok

note:

It is rounded to 254 because the percentage given in the exercise is not accurate, it should be 82.20064725%

Have a great day.

4 0
2 years ago
Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1)
kvv77 [185]

Answer:

Pippa

Step-by-step explanation:

A square has

  • parallel opposite sides
  • perpendicular adjacent sides
  • perpendicular diagonals

A rhombus has  

  • parallel opposite sides
  • non-perpendicular adjacent sides
  • perpendicular diagonals

Thus, we can identify the shape by comparing the slopes of the adjacent sides.

1. Draw the shape

See the graph below

2. Calculate the slope of AB

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4

3. Calculate the slope of BC

If BC⟂AP, its slope should be -4/5 .

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2

½ ≠ -⅘

The two lines are not perpendicular.

Pippa is right. The shape is a rhombus.

 

5 0
2 years ago
0.2x + 0.3y = 1.3.<br>0.4r + 0.5y = 2.3. solve by using substitution ​
Alexxandr [17]

Answer:

x=2, y=3.

Step-by-step explanation:

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

From the first equation   y = (1.3 - 0.2x) / 0.3

Substituting in second equation:

0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3

Multiply through by 0.3:

0.12x + 0.5(1.3 - 0.2x) =  0.69

0.12x + 0.65 - 0.1x = 0.69

0.02x = 0.04

x = 2.

Substituting for x in equation 1:

0.2* 2 + 0.3y = 1.3

0.4 + 0.3y = 1.3

0.3y = 1.3 - 0.4 = 0.9

y = 3.

Check in equation 2:

0.4 * 2 + 0.5(3) =   0.8 + 1.5 = 2.3.

- Correct.

4 0
2 years ago
A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
2 years ago
A number changes from 50 to 76. What type of percent change is this? Calculate the percent change.
Novosadov [1.4K]

Answer:

52%

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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