A copier produces 160 copies of a document in 4 minutes. What is the constant of proportionality that relates the number copies made, y, to the number of minutes, x?

Answer:

Length = 12 feet, Width = 10 feet

Step-by-step explanation:

Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.

We know that the perimeter of a rectangle is given by,

P=2(length+width)

P=2(x+y)

It is given that, the length of the bedroom is 2 more than the width, so,

x=y+2

Putting the values in the equation of perimeter we get,

44=2((y+2)+y)

44=2(2y+2)

44/2 =2y+2

22=2y+2

2y=22−2

y= 20/2 =10

Therefore, x=y+2=10+2=12

Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.

Answer:

take 20 degree as reference angle

let hypotenuse be x

using cos rule

cos 20=adjacent/hypotenuse

0.93=7/x

0.93*x=7

x=7/0.93

x=7.5

Step-by-step explanation:

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

Answer:

A. the control group in an experiment

Step-by-step explanation:

Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.

Researchers are those who do research on something i.e. systematics and deep investigation into something.

Control Group is that group in research which does not take any medication or untreated group.

During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment  is called the control group.

Hence, we can say that the group that is not given any medicine is the control group in an experiment.

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Answer:

B

Step-by-step explanation:

The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent

in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent

So

JB congruent to FC

do u want us to draw it 4 u ? cuz I can

Answer: y = (x+2)^2

Aka: B

Step-by-step explanation:

Did it on edge just now !

The equation y = (x + 2)² has a graph that is a parabola with a vertex at

(-2, 0).

Option B is the correct answer.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x-h)^2 + k

We have,

The equation that has a graph that is a parabola with a vertex at (-2, 0) is

y = (x + 2)².

The general equation for a parabola is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Comparing this general equation to y = (x + 2)²,

We can see that h = -2 and k = 0, which means that the vertex of the parabola is (-2, 0).

Therefore,

The equation y = (x + 2)² has a graph that is a parabola with a vertex at

(-2, 0).

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Answer:

[tex]y (y+2)+1(y+2)[/tex]

[tex](y +1)(y+2) = 0[/tex]

Answer:

c=38

Step-by-step explanation:

Substitute 6 for r and -2 for t in the formula given

c=rt^(2)-3t+8

c=6*(-2)^2-3*(-2)+8

c=6*4-3*-2+8

c=24+6+8

Answer:

The answer should be 18.

Answer:

$49,057.50

Step-by-step explanation:

To find how much a percent is of a number you multiply that number and that percent then add the two

SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

if i understand the question it's 25

Step-by-step explanation:

6/21 equal 10/10+x

info x is GJ

6x=150

x=25

i used the similarity in trangle formula because he sayed that FG is parelel to HJ

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

7=3x-63

add 63 to both sides

70=3x

divide by 3

x=23.33

Answer:

20%

Step-by-step explanation:

The formula to find percent error is the absolute value of the actual value (60) minus the approximate value (48) divided by the actual value (60) times 100. So first we calculate 60 - 48 which is 12 then divide 12 by 60 which gives us 0.2 and finally multiply by 100 which gives us the answer of 20%

Answer:

354870

Step-by-step explanation:

35.487 × [tex]10^{4}[/tex]

35.487 × 10000

354870

Answer:

No

Step-by-step explanation:

this is my opinion so No

Answer:

14

Step-by-step explanation:

49÷7=7

7×2=14

have a good day!

Answer:

Step-by-step explanation:

Answer:

p = 95

q = 95

r = 85

s = 85

Step-by-step explanation:

85 deg & p are same-side int angles & are supplementary.

p = 180 - 85 = 95

p & q are vertical & congruent.

q = 95

p & s are supplenmentary.

s = 85

s & r are alt int angles & congruent.

r = 85

Answer:

X=0

Y=4

Step-by-step explanation:

3x=12-3y

x=4-y

Plug 4-y in for x in the other equation:

2(4-y)+4y=16

8-2y+4y=16

2y=8

y=4

If x=4-y and y=4, x=4-4=0

Answer:

Average velocity = 1

Step-by-step explanation:

f(3) = 3² - 3(3) + 4 = 4

f(1) = 1² - 3(1) + 4 = 2

[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]

Answer:

y = √61

Step-by-step explanation:

the steps are in the pic above, stay outta drugs and pass ur tests.

Answer:

1.   5 in.

2.   12 in.

3.   3.5 in.

4.   30 ft

5.   4 m

6.   32 mm

7.   53.41 m

8.   18.85 ft

9.   87.96 in

10.  56.56 mm

11.   20.57 in

12.  25.71 yd

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation: