Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

Answer:

Decompose the figure into two rectangles and add the areas.

Find the area of the entire rectangle and of the removed corner and subtract the areas.

Decompose the figure into three rectangles and add the areas.

Step-by-step explanation:

With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.

Answer:

6 kilometers serian15 mas 5

Answer:

c = 10*b

Step-by-step explanation:

We know that in each bag, we have exactly 10 sliced carrots.

so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:

c = 10*b

So for example, if we have one bag, b = 1

c = 10*1 = 10

So in one bag, there are 10 carrots.

if instead, we have 3 bags, b = 3

c = 10*3 = 30

in 3 bags we have 30 carrots.

Then the equation that represents the relationship between b and c is:

c = 10*b

or

b = c/10

Solution :

From the given graph the x-intercept is 2 and y-intercept is -1 .

So, equation of line in intercept form is :

[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]

[tex]y = \dfrac{x-2}{2}[/tex]

Now, putting x = 4 in above equation, we get :

[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]

Therefore, the value of function at x =4 is 1 .

Answer:

The answer is "0.001 ".

Step-by-step explanation:

In this question, the shot value is missing So its solution can be defined a follows:

let

shot value= 3

The chances of missing a free takeoff [tex]= 1- 0.90 = 0.1[/tex]

All three free throws are probably gone[tex]= 0.1^3 = 0.001[/tex]

Answer:

A

Step-by-step explanation:

The values will increase because the multiplier is greater than 1 (1.05).

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

Answer:

Step-by-step explanation:

saw it on chegg

.05x+.17y=.13

x+y=60

The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.

According to the question,

Let,

Given total acid solution,

= 60 mL

then,

→  [tex]x+y = 60[/tex]...(equation 1)

We know that the concentration of mixture = 13%

hence,

→  [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]

or,

→  [tex]0.05x+0.17y=0.13(60)[/tex]

Thus the above answer is correct.

Learn more:

https://brainly.com/question/259604

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.

Answer:

B

Step-by-step explanation:

0.25 (2d + 1) = 0.25(2d) + 0.25(1)

= 0.50d + 0.25

Answer:

The expression 0.25(2d+1) is equivalent

equivalent go 0.50d +0.25.

Step-by-step explanation:

If yoy simplify the expression if will be 0.5d+0.25

Answer:

total number of people on Friday = 285

total number of people on Saturday = 355

total increment = 355-285 = 70

total increase percentage = 70÷285*100

= 24.56%

hope it helps!

Answer:

387 is the answar because number of milk sold on monday is 212 and in tuesday 175

212+175=387

Answer:

387

Step-by-step explanation:

The addition of milk sold on monday with milk sold on tuesday

which is

212+175=387

Answer:

Choice B

Step-by-step explanation:

7.1×10⁵ = 710,000

Answer:

The answer is B. 7.1 times 10^5.

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.

In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

the answer of this equation is 6

Answer:

£6.00

Step-by-step explanation:

15/100×40

=£6.00

Answer:

put them on the points

Step-by-step explanation:

Answer:

23 students letter d ran the 50 yard dash

Answer:

18

Step-by-step explanation:

the time of the students:

23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61

there are 18 number so 18 students did it

Answer: shehshywhwyw

Step-by-step explanation:

Answer:

14.526

Step-by-step explanation:

10.348+4.178=14.526

Answer:

The width of both boxes combined should be

10.348 + 4.178 = 14.526in

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

The correct option is second quadrant.

A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.

Given:

x coordinate of a point on the unit circle always greater than the y coordinate.

So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.

Hence, the correct option is second quadrant.

Learn more about unit circle here:

https://brainly.com/question/11987349

#SPJ6

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Step-by-step explanation:

Answer:

C) The mean is about 100.

Step-by-step explanation:

We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:

Let [tex]a[/tex] be the mean (average) of the values:

[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.

answer: 72

wordswordswords

9514 1404 393

Answer:

  24.5 units

Step-by-step explanation:

The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.

The desired perimeter is ...

  P = CF +FX + XC

  P = (1/3)YF + (1/2)XZ +(2)CE

  P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10

  P = 24.5 . . . . units

The perimeter of ΔCFX is 24.5 units.

Answer:

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hope it helps...

have a great day!!