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m_a_m_a [10]
3 years ago
14

pablo and greg both received gift cards for the same amount to a popular clothing store.Pablo bought 2 pairs of jeans and has $3

6 remaining on his gift card. greg bought 5 pairs of the same jeans and has no money left on his gift card. what is the cost of 1 pair of jeans.

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

12

Step-by-step explanation:

let y be the value of the gift card and x be the cost of a pair of jeans

The equation for Pablo

y-2x=36    Add 2x to both sides

y=36+2x

The equation for Greg

y-5x=0      Add 5x to both sides

y=5x

Now that we have isolated y in both equations, lets set them equal to each other

36+2x=5x      Subtract 2x from both sides

36=3x            Divide both sides by 3

12=x                x=12, which means that 1 pair of jeans costs $12

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The circular mirror hanging on Belle's wall has a diameter of 18 inches. What is the
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Answer:

56.52 inches

Step-by-step explanation:

The circumference of a circle can be found using:

c=\pi d

We know the diameter is 18, and \pi is being rounded to 3.14, so we can substitute them in.

c=3.14*18                   <em>Multiply</em>

c=56.52

So, the circumference is 56.52 inches

7 0
3 years ago
Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given y=\frac{\ln\left(5x)}{x^2}

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

y'=\frac{1-2\ln\left(5x)}{x^3}=0

x = \sqrt e/5 is absolute maximum

y''=\frac{6\ln\left(5x)-5}{x^4}=0

x=e^{5/6}/5 is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0
3 years ago
Need help with working perimeter and area please
SVETLANKA909090 [29]

Answer:

Area = 228 m²

Perimeter = 60 m

Step-by-step explanation:

The figure given shows a rectangle that has a cut triangular portion.

✔️Area of the figure = area of rectangle - area of the triangular cut portion

= L*W + ½*bh

Where,

L = 20 m

W = 12 m

b = 20 - (8 + 8) = 4 m

h = 6 m

Plug in the values

Area = 20*12 - ½*4*6

Area = 240 - 12

Area = 228 m²

✔️Perimeter = perimeter of rectangle - base of the triangular cut portion

= 2(L + W) - b

L = 20 m

W = 12 m

b = b = 20 - (8 + 8) = 4 m

Plug in the values

Perimeter = 2(20 + 12) - 4

= 2(32) - 4

= 64 - 4

Perimeter = 60 m

5 0
3 years ago
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Answer:

H(M) = (1)M + 10

Step-by-step explanation:

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3 years ago
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