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2 years ago

Part A

Mathematics

2 answers:

Kitty [74]2 years ago

8 0

Answer:

Flat fee of 20 dollars with 5 dollaers every hour=

20+h5

Step-by-step explanation:

zimovet [89]2 years ago

5 0

Answer:

Step-by-step explanation:

Let x represents the amount that the customer pays per hour

for renting the vacuum cleaner before returning it.

Let y represent the flat rate that the store charges a customer for renting the vacuum cleaner.

Let F represent the amount that the store charges a customer for renting the vacuum cleaner for x hours.

A linear function F for the total retail cost of a vacuum cleaner would be

F(x) = x + y

If the customer rents it for n hours, the total amount becomes

F(x) = nx + y

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On the first day a total of 40 items were sold for $356. Define the variables and write a system of equations to find the number

Alina [70]

<h3><u><em>Question:</em></u></h3>

On the first day, a total of 40 items were sold for $356. Pies cost $10 and cakes cost $8. Define the variables, write a system of equations to find the number of cakes and pies sold, and state how many pies were sold.

<h3><em><u>Answer:</u></em></h3>

The variables are defined as:

"c" represent the number of cakes sold and "p" represent the number of pies sold

The system of equations used are:

c + p = 40 and 8c + 10p = 356

18 pies and 22 cakes were sold

<h3><em><u>Solution:</u></em></h3>

Let "c" represent the number of cakes sold

Let "p" represent the number of pies sold

Cost of 1 pie = $ 10

Cost of 1 cake = $ 8

Given that total of 40 items were sold

number of cakes + number of pies = 40

c + p = 40 ------ eqn 1

<u><em>Given items were sold for $356</em></u>

number of cakes sold x Cost of 1 cake + number of pies sold x Cost of 1 cake = 356

$c \times 8 + p \times 10 = 356$

8c + 10p = 356 ----- eqn 2

<u><em>Let us solve eqn 1 and eqn 2</em></u>

From eqn 1,

p = 40 - c ---- eqn 3

Substitute eqn 3 in eqn 2

8c + 10(40 - c) = 356

8c + 400 - 10c = 356

-2c = - 44

c = 22

<em>Substitute c = 22 in eqn 3</em>

p = 40 - c

p = 40 - 22

p = 18

Thus 18 pies and 22 cakes were sold

3 0

2 years ago

How do you solve this? Please help me (i will give you 14 points)

azamat

Answer:

X can be 2,3,4,5,6,7,8

Step-by-step explanation:

X is greater than or equal to 2 and less than or equal to 8

It can only be integers

X can be 2,3,4,5,6,7,8

7 0

2 years ago

Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students

UNO [17]

Answer:

1. Group C; 2. Group B; 3. Group D; 4. Group A

Step-by-step explanation:

These equations are in the form

$y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0$ , where v₀ is the initial velocity and h₀ is the initial height.

The first equation has no value for v₀ and a value of 19 for h₀. This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters. This makes it group C.

The second equation has a value of 50 for v₀ and no value for h₀. This means the initial velocity is 50 and there is no initial height. This makes it group B.

The third equation has no value for v₀ and a value of 50 for h₀. This means there is no initial velocity, so the ball is being dropped, and the initial height is 50. This makes it group D.

The fourth equation has a value of 19 for v₀ and no value for h₀. This means the initial velocity is 19 and there is no initial height. This makes it group A.

7 0

2 years ago

Read 2 more answers

Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

hichkok12 [17]

Answer:

The confidence interval is (0.81, 0.87).

Step-by-step explanation:

There's 90% confidence that population proportion is within the interval obtained from the following formula:

$\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}*(1-\hat{p})}{n}}$

Knowing that the sample size, $n=525$ we obtain the proportion of people from the sample who leave one space after a period as $\hat{p}=\frac{440}{525}=0.8381\approx 0.84$ .

We then look for the critical value:

$z_{\alpha/2}=1.645$

Now we can replace in the formula to obtain the confidence interval:

$0.84\pm 1.645\sqrt{\frac{0.84*(1-0.84)}{525}}= (0.8137; 0.8663)$

Therefore we can say that there's 90% probability that the population proportion of people who leave one space after a period lies between the values (0.8137; 0.8663).

3 0

2 years ago

Read 2 more answers

If ABD ~ HGE and AC and HF are angle<br> bisectors, find x. And If LJK ~ PQN, find x.

aleksandrvk [35]

Answer:

Q1. 9.6, Q2. 33

Step-by-step explanation:

<u>Corresponding parts have same ratio:</u>

x/24 = 14/35
x = 24*2/5
x = 9.6

x/42.9 = 30/39
x/42.9 = 10/13
x = 42.9*10/13
x = 33

6 0

2 years ago