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timurjin [86]
2 years ago
11

Brainliest if correct

Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0

Answer:

9

Step-by-step explanation:

-4c + 9 + 4c

4c - 4c + 9

= 9

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Read 2 more answers
Kaya's family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days
Elza [17]

Answer:

c=15d

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

c ----> the total cost of the boat rental

d ---> is the number of days, the family rents the boat

we know that

Kaya's family spends $105 to rent a boat for 7 days

so

For d=7 days, c=$105

Find the value of the constant of proportionality k

k=\frac{c}{d}

substitute the given values

k=\frac{105}{7}=\$15\ per\ day

therefore

The linear direct equation is equal to

c=15d

8 0
3 years ago
Ryan bought 6 apples and 9 peaches for a total of $7.86. Madi bought 4 apples and 5 peaches for $4.82.
sergey [27]
Let's call:
a = price of 1 apple
p = price of 1 peach

The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
\left \{ {{6a + 9p = 7.86} \atop {4a + 5p = 4.82}} \right.

Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4

Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42

Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
   = 0.68

Therefore, one apple costs 0.68$ and one peach costs 0.42$.
6 0
3 years ago
Dora buys one package each of 1- pound, 2- pound, and 4-pound packages if ground beef to make hamburgers. How many 1/4-pound ham
Alisiya [41]
82. Dora bought one package of each 1-pound pork, 2-pound pork and 4-pound pork. Thus, she got a total of: => 1 pound + 2 pounds + 4 pounds = 7 pounds of pork. Question: How many ¼ pound of hamburger she can make then with this given number of pork in pounds. => ¼ = 1 / 4 = .25 Now, let’s divide 7 pounds by .25 pounds => 7 / .25 = 28 Thus, She can make 28 hamburgers in all.
7 0
3 years ago
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