Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.

Let y represent the total cost and

x represent the number of gifts

According to direct variation]

y ∝ x

y = kx

k is the constant of proportionality

If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;

y = 10x

Hence the required relationship is y = 10x


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Write one number that is 3.45 and 4.25

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Not enough information to this question 

so im trying to help my little brother with his home work an i suck at math so can anyone tell me what 5/9X54

Answers

First do 5 divided by 9. Then 0.56 times 54. Your answer is 30. Have a great day!
So, in this problem, its basically multiplying a whole number with a fraction. So what you do is.... multiply 54 by 5 and you get 120. Then, you do 54 multiplied by 9 and get 486. Then, you will have 120/486! That will be your answer to this problem.

Refer to pictures above real help please

Answers

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

The graph of the following system of equations is (4 points)-2x + y = 3
4x + 2y = 2

a. overlapping lines
b. parallel lines
c. intersecting lines

Answers

\left\{\begin{array}{ccc}-2x+y=3\n4x+2y=2&|divide\ both\ sides\ by\ 2\end{array}\right\n\left\{\begin{array}{ccc}-2x+y=3&|add\ (-2x)\ to\ both\ sides\n2x+y=1&|subtract\ 2x\ from\ both\ sides\end{array}\right\n\left\{\begin{array}{ccc}y=2x+3\ny=-2x+1\end{array}\right\Rightarrow\ the\ slope  \left\{\begin{array}{ccc}m=2\nm=-2\end{array}\right\ |different\n\nConclusion:\ \boxed{\boxed{C}\ intersecting\ lines}
-2x + 1y = 3 ⇒ 4x - 2y = -6
 4x + 2y = 2 ⇒ 4x + 2y = 2
                               -4y = -8
                                -4     -4
                                  y = 2
                      4x + 2(2) = 2
                          4x + 4 = 2
                                 -4  -4
                                4x = -2
                                 4      4
                                 x = -1/2
                             (x, y) = (-1/2, 2)
The answer to the problem is C. intersecting lines.

Two planes leave the airport at the same time. In one hour the plane that has flown north has traveled 400 miles. The plane that has flown southwest has traveled 250 miles. How far apart are the planes? LAW OF COSINES
GEOMETRY

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a^2=b^2+c^2-2\cdot b\cdot c\cdot cos \alpha \n---------------\n\nx^2=250^2+400^2-2\cdot250\cdot400\cdot cos135^0\n\nx^2=62,500+160,000-200,000\cdot cos(180^0-45^0)\n\nx^2=222,500-200,000\cdot(-cos45^0)\n\nx^2=222,500-200,000\cdot ( √(2) )/(2) \n\nx^2=222,500+100,000\cdot √(2) \n\nx^2=2500\cdot(89+40 √(2) )\n\n

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A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

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a,b,c-\ sides\ of\ triangle\n\na+b+c=18\ inches\n\na=8inch\n\n(b)/(c)=(2)/(3)\n\n3b=2c\ \ --->b=(2c)/(3)\n\n8+(2c)/(3)+c=18\ |*3\n\n24+2c+3c=54\n\n5c=54-24\n\n5c=30\n\nc=(30)/(5)=6\n\nLength\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.