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cluponka [151]
2 years ago
12

Eman is planning to sell wind chimes at a craft fair. The cost of her tools for building the wind chimes is 130. The cost of mat

erials are $10 per wind chime. What is the total cost to make 100 wind chimes
Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

We are given : The cost of tools for building wind chimes = $130.

Cost of material for each wind chime = $10.

We need to find the total cost of making 100 wind chimes.

Please note : $130 is the fix cost and $10 is the variable cost of each wind chime.

<em>In order to find the cost of 100 wind chimes, we need to multiply 100 by cost of making one wind chime and add the fix cost for tools for building wind chimes.</em>

Therefore, total cost of making 100 wind chimes = 10×100 + 130

= 1000+130

=1130.

<h3>Therefore, the total cost to make 100 wind chimes is $1130.</h3>

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Softa [21]
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A quadratic function has the form
y = ax^2 + bx + c

Use point (3, 5) in the equation above:

5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5     Equation 1

Use point (4, 3) in the equation above:

3 = a(4^2) + 4b + c
16a + 4b + c = 3    Equation 2

Use point (5, 3) in the equation above.

5 = a(5^2) + 5b + c
25a + 5b + c = 5       Equation 3.

Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.

9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5

Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2

Subtract the first equation above from the second equation to get.
2a = 4
a = 2

Substitute:
7a + b = -2
7(2) + b = -2
b = -16

9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35

The equation in standard form is

y = 2x^2 - 16x + 35

We can find it in vertex form:

y = 2(x^2 - 8x) + 35

y = 2(x^2 - 8x + 16) + 35 - 32

y = 2(x - 4)^2 + 3
3 0
3 years ago
Two whole numbers A and B satisfy the following conditions. Find A and B . A + B = 44. A : B is equivalent to 4 : 7
aksik [14]
Hello there, multiply to each side of ratio until you get the answer, which in this case you have to multiply 4 to each side, therefore...
B= 28
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~Brainliest
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3 years ago
Compare fraction 2/8 and 7/8
umka21 [38]

Answer:

2/8 < 7/8

Step-by-step explanation:

Since the denominators are the same, we compare the numerators

2<7  so

2/8 < 7/8

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3 years ago
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Inessa05 [86]

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I created an equation for this one:

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