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NARA [144]
3 years ago
11

4.) Order the following decimals from greatest to least. 15.9 9.5 1.95 9.15 1.59

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
1.59, 1.95, 9.15, 9.5, 15.9
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A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width
MrMuchimi

Answer: Length = 13 ft. , Width = 9 ft.

Step-by-step explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

(x)(x + 4) = 117

x^2 + 4x = 117

x^2 + 4x - 117 = 0

(x - 9)(x + 13)

x = 9, -13

x = 9 <em>(measurement cannot be negative)</em>

Length

x + 4

9 + 4 = 13

5 0
2 years ago
Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
Elenna [48]

Answer:

The  parametrization,  of the given curve is  x = 10 cos(t) \ \ ,z = 10 sin(t)

Step-by-step explanation:

From the question we are given the function

        x^2 + y^2 + z^2 = 125

At  y= 5

       x^2 + 5^2 +z^2 =125

       x^2 + z^2 = 100

       x^2 + z^2 =  10^2

Converting the above  to it polar equation we have  

       x = 10 cos(t) \ \ ,z = 10 sin(t)

     

 

6 0
3 years ago
Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

4 0
3 years ago
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8
Anika [276]

Answer:

Monique made an error when writing the factored expression.

Correct factored

expression=4x(1+4y)

Step-by-step explanation:

factoring the expression 4 x + 16 x y.

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Monique made an error when writing the factored expression.

The correct factored expression should be:

4x+16xy

=4x(1+4y)

Contrary to 4x(0+4y)

Correct factored

expression=4x(1+4y)

4 0
3 years ago
Read 2 more answers
Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–11)
Anvisha [2.4K]

Answer:

its 23

Step-by-step explanation:

its 12+11 because two negatives make a positive

8 0
2 years ago
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