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3 years ago

At a certain toy store, tiny stuffed

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

130

Step-by-step explanation: add

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Tell us whether the lines for each pair of equations are parallel, perpendicular, or neither:

Hatshy [7]

Two lines are parallel if the gradient (i.e. the x coefficient) of them both is the same.
Two lines are perpendicular if the gradient has its sign changed and has it's fraction flipped (i.e. a gradient of 2/3 would become -3/2, and a gradient of 10 would become -1/10)

THe first one is in the correct form already, with a gradient of -4.
Now we need to rearrange the second: $-2x+8y=5 \\ 8y=2x+5 \\ y= \frac{2}{8} x+ \frac{5}{8} = \frac{1}{4}x+ \frac{5}{8}$
The second equation has a gradient of 1/4, which is indeed the negative and reversal of -4, therefore the two lines are perpendicular.

3 0

4 years ago

PR is represented by which sketch?

solniwko [45]

Answer:

Step-by-step explanation:

The direction of the arrow has to go the same way as the one in the question, from P to R. Also, the question only has one arrow, so the answer only has one arrow.

8 0

3 years ago

If y varies inversely as x, and y = 23 when x<br> 8, find y when x 4.

Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = $\frac{k}{8}$ ( multiply both sides by 8 )

184 = k

y = $\frac{184}{x}$ ← equation of variation

When x = 4 , then

y = $\frac{184}{4}$ = 46

7 0

3 years ago

On Thursday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. The number of cheeseburgers sold

denpristay [2]

448, you just have to work the problem. But if my math is correct, then the answer is 448.

7 0

3 years ago

We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the l

pychu [463]

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 = -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L = (75ft^2)/W

replacing with W = √(75ft^2)

L = (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft

6 0

3 years ago