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Talja
13 days ago
14

Which equation represents a proportional relationship that has a constant proportionality equal to 0.7

Mathematics
1 answer:
zzz [12.3K]13 days ago
8 0

Response:

first option

Detailed explanation:

The equation expressing a proportional relationship is

y = kx ← with k as the proportional constant

Here k takes the value of 0.7, hence

y = 0.7x ← represents the required equation

Given

\frac{y}{x} = \frac{7}{10} (cross-multiply)

10y = 7x (dividing both sides by 10)

y = \frac{7}{10} x = 0.7 x ← emerges as the needed equation

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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be mo
zzz [12365]

Answer:

  • The profit can be expressed as 70x + 50
  • If 240 phones are sold, the profit amounts to $16,850

Detailed explanation:

The revenue function R(x) is provided as R(x)=2x^2+55x+10

The cost function C(x) is given as C(x)=2x^2-15x-40


Profit is calculated by subtracting cost from revenue, expressed as Profit = Revenue − Cost

We substitute the given revenue and cost functions into this formula.

Denote the profit function as P(x).

P(x)=R(x)-C(x)\\P(x)=2x^2+55x+10-(2x^2-15x-40)\\P(x)=2x^2+55x+10-2x^2+15x+40\\P(x)=70x+50

Therefore, the profit function formula simplifies to 70x + 50


Since x denotes the quantity of phones sold, to find the profit when 240 phones are sold, we substitute x = 240 into the profit expression above.

P(x)=70x+50\\P(240)=70(240)+50\\P(240)=16,850

Hence, selling 240 phones yields a profit of $16,850

5 0
2 months ago
Jake and Maddie each take the closest path from their homes to the store. Based on the picture below, what is the approximate di
Zina [12379]
To address this issue, the procedure below should be utilized:

 1- The Law of sines can be applied as follows:

 The unknown angle can be determined by: 180°-65°-45°=70°

 - The <span>distance Jake travels to the store is:

 30/Sin(70°)=x/Sin(45°)
 x=22.57

 - The distance Maddie travels to the store is:

 </span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93

 - The difference calculated is: 6.36

Thus, the result shows that the difference is 6.36 m.</span>
5 0
1 month ago
Read 2 more answers
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [12365]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years

I hope this is helpful:-)
7 0
1 month ago
Read 2 more answers
Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
Zina [12379]

38 % of the total budget goes to advertising on broadcast TV

Solution:

Based on the details,

Expenditure for broadcast TV advertising = $ 22, 000

Expenditure for cable TV advertising = $ 30, 000

Expenditure for radio advertising = $ 6000

Need to determine: the proportion of broadcast TV advertising

Total expenditure = $ 22, 000 + $ 30, 000 + $ 6000

Total expenditure = $ 58000

proportion of broadcast TV advertising = \frac{\text{ amount spend on broadcast tv}}{\text{ total amount}} \times 100

\rightarrow \frac{22000}{58000} \times 100\\\\\rightarrow 0.3793 \times 100 = 37.93 \approx 38

Hence 38 % of the total budget is allocated to broadcast TV advertising

7 0
28 days ago
In 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams.
zzz [12365]
The world’s largest pumpkin weighed 1,805 kilograms.
3 0
1 month ago
Read 2 more answers
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