This table shows the time it took a group of students to complete a quiz​

Answer:

2/5

Step-by-step explanation:

4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants

P( blue) = blue pants / total pants

             = 4/10

             =2/5

Answer:

The last answer choice is the correct answer

Step-by-step explanation:

im hoping this helped, if not im sorry.

Answer:

D. [tex] \frac{4 \sqrt{33} }{33} [/tex]

Step-by-step explanation:

[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Answer:

Step-by-step explanation:

Let sharma age be S and Ankit age be A

S = 3a

(s-10) = 5(a-10)

substitute 1 in 2

3a-10 = 5a -50

40 = 2a

a = 20

s = 3 * 20 = 60

This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]

Answer: 50.2656

Step-by-step explanation:

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x

Step-by-step explanation:

Answer:

The answer is 7 meters

Step-by-step explanation:

Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)

a

26<a<28

Step-by-step explanation:

The class interval of age in year is 2

so, 2 is the class interval

Answer:

Option C

Step-by-step explanation:

Option C would map (1,3) to (-1,4).

[tex](x,y)\rightarrow(x-2,y+1)[/tex]

[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]

1 - 2 = -1

3 + 1 = 4

Option C should be the  correct answer.

Answer: 3rd option (x-2, y+1)

Step-by-step explanation:

1-2 = -1

3+1 = 4

Answer:30%

Step-by-step explanation:

Answer: 26.46cm

Step-by-step explanation:

The formula of a diagonal of a square is square root 2 a(a is not under the square root though)

So just substitute the a (area) with 350 and solve the equation.

Answer:

26.46cm

Step-by-step explanation:

Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.

Answer:

The range is [-1, ∞).

Step-by-step explanation:

The  points where the graph of this function cut the x axis are at x = 2 and x = 4 ,  it opens upwards and has a minimum  value.

It has a minimum value  when x = (2 + 4) / 2 = 3.

When x = 3,  f(x) =  (3 - 4)(3 - 2) = -1.

So the range is all real values of x >= -1, or [-1, ∞)

Step-by-step explanation:

U2=ar

U2=17.5

U3=ar^2

U3=122.5

U3/U2=122.5/17.5

ar^2/ar=7

r=7

17.5=ar

17.5=7a

a=2.5

Answer:

Step-by-step explanation:

Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is

3/7 × 490 = 210 pounds

The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is

2/3 × 210 = 140

If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.

The number of bags of 5 pounds that the grocery store packaged is

70/5 = 14 bags

Answer:

8.50x [tex]\geq[/tex] 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation:

ask specific questions for explanations of the answers

Answer:

Correct option: third one

f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily

Step-by-step explanation:

We can rewrite the equation using the model:

P = Po * (1 + r/n) ^ (nt)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the relation of the rate and the time (in our case, the rate is weekly and the time will be in days, so n = 7)

With P = f(x), Po = 86, r = 0.18 and t = x, we have:

f(x) = 86 * (1 + 0.18/7) ^ (7x)

f(x) = 86 * (1.02) ^ (7x)

So the daily rate of growth is approximately 2%

Correct option: third one

Answer:

second graph

Step-by-step explanation:

direct variation is recognized as y=mx+b, where b=0

y=0 when x=0

the function has (0,0) point

it appears in the second graph only, so the answer is the second graph

Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

[tex]\frac{3LW}{LW} * 100[/tex] = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

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Answer:

-40

At -40, the value on both scales are the same.

-40 °C = -40 ° F

Step-by-step explanation:

Given that;

F = temperature in Fahrenheit

C = temperature in Celsius

And;

F=(9C+160)/5 .........1

For temperature to be the same on both scale;

Temperature in Fahrenheit mist be equal to the temperature in Celsius

F = C

Substituting F = C into the equation 1;

C = (9C +160)/5

Multiply both sides by 5

5C = (9C+160)

Collecting the like terms.

5C -9C = 160

-4C = 160

C = -160/4

C = -40

F = C = -40

At -40, the value on both scales are the same.

That means;

-40 °C = -40 ° F

Answer:

Alex will be able to earn $60 for that 4-week period.

Step-by-step explanation:

It is given that

Income to Alex each week by babysitting and running errands:

$20.

To find the 4-week period earning, we need to add the value $20 for 4 times:

20 + 20 + 20 + 20 = $80

OR

In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80

But, Alex was sick at one of the weekends, so $20 would be earned less.

Hence, during that 4-week period, total earning = $80 - $20

[tex]\Rightarrow[/tex] $60

So, Alex will be able to earn $60 for that 4-week period.

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

Answer:

16 + 6pi

Step-by-step explanation:

We have a square and 3 semicircles

The area of the square is

A = s^2 and the side length is 4

A = 4^2 = 16

The radius of the semi circle is 2

The area of a semicircle is

1/2 pi r^2

1/2 pi (2)^2 = 2pi

We have 3 of them

3 *2pi = 6pi

Add the areas together

16 + 6pi

Answer:

(6π + 16) cm²

Step-by-step explanation:

The composite shape can be cut into 4 shapes.

3 equal semi-circles and 1 square.

The square has a side length of 2 + 2 = 4cm.

The radius of the semi-circle is 2 cm.

The area of the square is:

4 × 4 = 16 cm²

The area of the semi-circle is:

2²π × 1/2

= (2π) cm²

There are 3 equal semi-circles, so multiply the area by 3.

2π × 3 = (6π) cm²

Add the areas of the 4 shapes.

16 cm² + (6π) cm²

= (6π + 16) cm²

The total area of the composite shape is (6π + 16) cm².

Answer:

Option B.

Step-by-step explanation:

If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.

From the given table it is clear that the value of function are

x  |  f(x) | Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.

It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

Answer:

between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

B on my computer but always double check!

Answer: 15

Step-by-step explanation:

6 percent of 250 is 15

15/250 = 6%.

Answer:

6% = 6/100 = 0.06

250 x 0.06 = 250 x 6 / 100

250 x 6 = 1500 / 100 = 15

15 tickets are mine

Hope this helps

Step-by-step explanation:

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

Answer:

The answer would be 2

Answer:

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Answer:

1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]

2). Solution of the system is (3, 6)

Step-by-step explanation:

From the table (1),

Let the equation of the line from the given table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Choose two points from the table which lie on the line.

Let the points are (0, 5) and (3, 6)

Slope = m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                 = [tex]\frac{5-6}{0-3}[/tex]

                 = [tex]\frac{1}{3}[/tex]

Therefore, equation of the will be,

y - 5 = [tex]\frac{1}{3}(x-0)[/tex]

y = [tex]\frac{1}{3}x+5[/tex] -------(1)

Let the other line from the table (2) is,

y - y" = m'(x - x")

Two points taken from this table are (0, 7) and (3, 6)

m' = [tex]\frac{7-6}{0-3}[/tex]

    = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]

y = [tex]-\frac{1}{3}x+7[/tex] -------(2)

Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]

By adding equations (1) and (2),

y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]

2y = 12

y = 6

From equation (1),

6 = [tex]\frac{1}{3}x+5[/tex]

[tex]\frac{1}{3}x=7-6[/tex]

x = 3

Therefore, solution of the system is (3, 6).

Answer:

The first line is 1/3x and 5. For the second line the answer is (3,6).