Ursula and Velda live 4 km apart. They leave their homes at the same time, walking towards each other. If Ursula walks at a rate of 400 m/h, and Velda walks at a rate of 600 m/h, how far apart are they 15 minutes before they meet (in m)?

Answer:

[tex]35 + 9m[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](30 + 5) + ( - 7m + 16m)[/tex]

2) Simplify.

[tex]35 + 9m[/tex]

Therefor, the answer is 35 + 9m.

Answer:31

Step-by-step explanation:

Answer:

I could be wrong but I am pretty sure it's 32

Step-by-step explanation:

24 divided by 15 equals 1.6, so I think if you multiply the last number with 1.6 you get your answer.

Answer:

A. [tex]h(x) = (x+2)^{2}+5[/tex]

Step-by-step explanation:

First, we need to defined the two transformations required to derive [tex]h(x)[/tex].

Vertical translation

[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)

Where:

[tex]k > 0[/tex], upwards.

[tex]k < 0[/tex], downwards.

Horizontal translation

[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)

Where:

[tex]k > 0[/tex], leftwards.

[tex]k < 0[/tex], rightwards.

Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:

[tex]h(x) = (x+2)^{2}+5[/tex] (3)

Hence, correct answer is A.

Answer:

6 for $4.80

Step-by-step explanation:

3.45 / 4 = unit rate of $0.8625

4.80 / 6 = unit rate of $0.80

Answer:

Helloooo

ur answer is

66.6666666667

Step-by-step explanation:

thanks.....hope it helps

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)

Answer:

dont mind me

Step-by-step explanation:

Answer:

g(0) = -2

Step-by-step explanation:

Given - g(x) = -x - 2

To find - g(0)

Proof -

We have given the function ,

g(x) = -x - 2

For finding the value of g(0), we just have to put x = 0 in g(x),

We get

g(0) = -0 - 2 = -2

⇒g(0) = -2

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

Answer:

2 2/5

Step-by-step explanation:

It is because the 2 wholes and 2/5

Answer:

2 and 2/5

Step-by-step explanation:

Because the first two pies are completely shaded giving us the 2 whole. And the third pie has two parts shaded out of the five parts giving us the 2/5.

Now you put them together: 2 and 2/5.

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

Answer:

$583 :)

Step-by-step explanation:

well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!

Answer:

b = 12.6

Step-by-step explanation:

a*2 + b*2 = c*2

6*2 + b*2 = 14*2

36 + b*2 = 196

Subtract 36 from both sides

36 + b*2 = 196

-36             -36

b*2 = 160

Find the square root of both

b = 12.64911064  or 12.6

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

Answer:

2.7

Step-by-step explanation:

SI = (P*T*R)/100

P = 45$

R = 3 percent

T = 2 years

Now,

SI = (P*T*R)/100

= (45*2*3)/100

= 2.7$

Answer:

(-2, -4)

Step-by-step explanation:

[y = 2x, y = -x -6]

Solve by substitution:

-x - 6 = 2x

simplify

3x = -6

divide

x = -2

Plug back in one equation to solve for y coordinate:

y = 2(-2)

y = -4

(-2, -4)

Answer:

7.07

Step-by-step explanation:

Find vertices D with desmos (it's 2,-4).

Use the distance formula or diagonal=a√2 (d=5√2)

Multiply them and get 7.07.

Since the vertices forms a square, all sides are the same length which is 5.

Also you bca kid rt?

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

Answer:

(b) Probability that a student is male and attends concert = 22.95%

(c) Probability that a student is female and does not attend concert = 29.4%

(d) Probability that a student attends concerts = 42.55%

Step-by-step explanation:

P.S - The exact question is -

Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.

To find - (a) Make a tree diagram based on the information above.

               (b) Find the probability that a student is male and attends    

                    concerts.

               (c) Find the probability that a student is female and does not

                    attend concerts.

                (d) Find the probability that a student attends concerts.

Proof -

Let the total population of the high school = 100 x

Given that,

The students of a high school are 51% males

⇒Total males in the high school = 51% × 100 x

                                                      = [tex]\frac{51}{100}[/tex] × 100 x = 51 x

⇒Total males in the high school = 51 x

⇒Total females in the high school = 100 x - 51 x = 49 x

Now,

Given that,

Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

⇒Total number of males that attend the concert = 45% × 51 x

                                                                                = [tex]\frac{45}{100}[/tex] × 51 x  = 22.95 x

⇒Total number of males that attend the concert = 22.95 x

And

Total number of males that do not attend the concert = 51 x - 22.95 x

                                                                                          = 28.05 x

⇒Total number of males that do not attend the concert = 28.05 x

Also,

Total number of females that attend the concert = 40% × 49 x

                                                                                = [tex]\frac{40}{100}[/tex] × 49 x  = 19.6 x

⇒Total number of females that attend the concert = 19.6 x

And

Total number of females that do not attend the concert = 49 x - 19.6 x

                                                                                             = 29.4 x

⇒Total number of females that do not attend the concert = 29.4 x

(a)

The tree diagram is as follows :

(b)

Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %

                                                                                          = 22.95%

⇒Probability that a student is male and attends concert = 22.95%

(c)

Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%

                                                                                                            = 29.4%

⇒Probability that a student is female and does not attend concert = 29.4%

(d)

Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%

                                                                        = [tex]\frac{42.55}{100}[/tex] ×100%

                                                                        = 42.55%

⇒Probability that a student attends concerts = 42.55%

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

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Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

Answer:

ΔDEF

Step-by-step explanation:

T ↔ D     S ↔ E      R ↔ F

ΔTSR is similar to ΔDEF

Answer:

1triangle

Step-by-step explanation:

47+60+73=180degree

so the 1triangle have 180 degree

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Answer:

72 cubic inches

it's the good answer I looked at it twice

Answer:

36

Step-by-step explanation:

V=1/3Ah

A is the area of the base

h is the height

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

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Answer:

72cm

Step-by-step explanation:

The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.

It is required to find the volume of the right square pyramid.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the formula for finding the volume (V) of a right square pyramid is:

[tex]\rm V= a^2\times\frac{h}{3}[/tex]    Where a is the base side and h is the height of the right square pyramid.

[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]

[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]

And h = 6 cm, putting this value in the above volume formula, wet get:

[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]

Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

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