The measures of the angles of a triangle are 37 degrees, 53 degrees, and 90 degrees.

A big-screen TV that previously sold for $2,400 has been marked down to $2,040. What is the percent of decrease?

Hitman42 [59]

[~Answer~] (8.):
Heyyy. I'm Avery, and I'm always here to help!

I believe the percent may be 15% ($2,400 - 15% = $2,040)

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[~Answer Explanation~}:

The percent of the difference is the rate of the difference * 100%

the percent of the difference = .15 * 100% = 15%

since the new price is less than the old price, that is the percent of the decrease.

(See if it'll work): $2,400- 15% = $2,040

And there's your answer <33

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[~Last Messages~}:

Hope this helped you <333
Bye!

[-!AveryIsSomeHowAlive!-]

"Just call me and I will be there :)"

3 0

2 years ago

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width

Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or P = 2l + 2w

You know:

P = 150 m

l = w + 5 [length is 5 m greater than the width]

P = 2l + 2w Plug in what you know

150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10 Subtract 10 to both sides of the equation

140 = 4w Divide 4 on both sides

35 = w

PROOF l = w + 5 ---> l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0

3 years ago

You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. a. Explain why you cannot make identical fruit baskets

GrogVix [38]

Question 1:
73 is a prime number. It can only be divided by 1 and by itself.

The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6

GCF of 54, 36 and 73 is 1

GCF of 54 and 36 is 18

If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets

6 0

3 years ago

Which fraction is not equivalent to 9/12

Usimov [2.4K]

Answer: 1/2

1/2 = 50%

9/12 = 75%

6 0

3 years ago

Read 2 more answers

Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago