amy is walking laps whilst frank is jogging laps on the nature trail. Amy completes a lap in 15 minutes, frank completes a lap in 6 minutes. How long will it take before they both finish at the same time

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

Step-by-step explanation:

We are given that the length and width of a rectangle is given by:

[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]

And we want to find the area of the rectangle.

Recall that the area of a rectangle is given by:

[tex]\displaystyle A = w\ell[/tex]

Substitute:

[tex]A = (3x+1)(5x+2)[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]

Hence, the area of the rectangle is:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

Answer:

-1,2 can be plotted together with these four points ...

Answer:

29%

Step-by-step explanation:

First, let's fill in the table.

Male:

Freshmen: 4

Sophomore: 6

Juniors: 2

Seniors: 2

Total: 4 + 6 + 2 + 2

Total: 14

Female:

Freshmen: 3

Sophomore: 4

Juniors: 6

Seniors: 3

Total: 3 + 4 + 6 + 3

Total: 16

Now, to find the probability that a male would be a freshmen, we would do:

4/14

Convert it to a decimal:

.285

Convert to percentage:

29%

So, there is a 29% chance that a male is a freshmen.

Answer:

40

Step-by-step explanation:

200% x 20

200/100 x 20

(200 ÷ 100) x 20

200 x 20 ÷ 100

4,000 ÷ 100 = 40

Answer:

A and C

Step-by-step explanation:

5) logx+log(x+9)=2

log(x(x+9))=2, log(x^2+9x)=2

6) log(x^2+9x)=2

(x^2+9x)=36 or 6^2

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :

Answer:

32

Step-by-step explanation:

A = l*w

55 = 5*w

55 /5 = 5w/5

11 = w

The perimeter is

P =2(l+w)

P = 2(5+11)

  =2(16)

  = 32

Answer:

32Units

Step-by-step explanation:

We know Area of rectangle=LENGTH×BREADTH

Here, breadth and Area given

55=5×L

L=11(value of length=11)

Perimeter=2(L+B)

32=2(5+11).

Answer:

Step-by-step explanation:

let the horizontal distance be x

(17.8-1.5)/x = tan 38

or x = 16.3/tan38

or x = 20.863

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

Given,

Vince used a cup of lemonade will be = 3/5

We know that,

Amount of lemonade used by Luva is 6 times of Vince

Therefore,

Lemonade used by Luca

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

[tex] = \frac{18}{5} [/tex]

[tex] = 3 \frac{3}{5} (ans)[/tex]

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

To know more about midpoints of the line follow

https://brainly.com/question/24431553

#SPJ2

Answer:

Choice C. 14 inches

Step-by-step explanation:

Middle between 12 and 16 inches.

Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

Answer:

(a) <7 and <8

(b) <3 and <8

(c) <6 and <1

Step-by-step explanation:

There are multiple different answers for each of the questions but these are the ones I chose.

(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.

(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.

(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.

Answer:

50 bags

Step-by-step explanation:

1 kg = 1000 grams

10 kg * 1000g/ 1kg = 10000 g

Divide 10000 grams by 200 g

10000g / 200g = 50

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

Answer:

The cost written as a fraction is​ --> 4 13/99

Step-by-step explanation:

Let x = 4.131313

100x = 413.1313

So, 100x - x = 99x

      100(4.131313) - 4.131313 = 408.99, or 409 when rounded

x = 409/99

x = 4 13/99

Answer:

ମୁଁ ବର୍ତ୍ତମାନ ଦୁ sorry ଖିତ ଗର୍ଲି ନୁହେଁ |

Step-by-step explanation:

ନିମୋନୋଲ୍ଟ୍ରାମିକ୍ରୋସ୍କୋପିକ୍ସିଲିକୋଭୋଲକାନୋକୋନିଓସିସ୍ |

3(y+11) y=12

3(12+11)=?

12+11=23

3x23=69

Answer = 69

I hope this helps :)

Answer:

Average employee [Mean] = 43.6

Step-by-step explanation:

Given:

Interval   Number of employee

25-35                      20

35-45                      7

45-55                      8

55-65                     15

Total                       50

Find:

Average employee [Mean]

Computation:

Interval     X[u+l]/2 Number of employee   fx

25-35         30           20                              600

35-45         40             7                              280

45-55         50            8                              400

55-65         60            15                             900

Total                           50                            2,180

Average employee [Mean] = Sum of fx / Sum of x

Average employee [Mean] = 2,180 / 50

Average employee [Mean] = 43.6

Answer:

aeaaa

Step-by-step explanation:

Answer: $0.06 per inch

Concept:

When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.

Solve:

Price = $6.48

Inch = 9 × 12 = 108 in

Price / Inch = 6.48 / 108 = $0.06 per inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4.2724289e

+22

Step-by-step explanation:

mzmznznxnxnznxn no n n j j h h h h h h hh h h &

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18