Jack is 2 times as old as Lacy. 5 years ago the sum of their ages was 20. How old are they now?

Given:

The equation of parallel line is [tex]y=-\dfrac{1}{4}x+5[/tex].

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

[tex]y=-\dfrac{1}{4}x+5[/tex]

On comparing this equation with [tex]y=mx+b[/tex], where m is slope, we get

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

Slope of two parallel lines are always same. So, slope of required line is [tex]m=-\dfrac{1}{4}[/tex].

The required line passes through the point (2,-3) having slope [tex]m=-\dfrac{1}{4}[/tex], so the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}[/tex]

Subtracting 3 from both sides, we get

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3[/tex]

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}[/tex]

[tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex].

Answer is   5:3

This means the ratio of reds to yellows is 5 to 3

=========================================================

Work Shown

We have 48 candies total and 18 yellow. This means there are 48-18 = 30 red assuming there are no other colors.

The ratio of red to yellow is 30:18. We simply list the number of reds (30), followed by a colon, then the number of yellows.

(number of red):(number of yellow)

The order is important. We cannot swap the items. This is because "reds to yellows" in the instructions has "red" come first.

Once you have the ratio 30:18, you divide both parts by the GCF 6 and you'll end up with the final answer 5:3

So for every 5 red candies we have 3 yellow candies. We can say "the ratio of reds to yellows is 5 to 3".

Answer:

5.777777778

Step-by-step explanation:

:)

Answer:

C.

Step-by-step explanation:

because f(x) is directly proportional to the numerator which greater than the denominator ( 5>1 ).

While in other cases, f(x) is inversely proportional to the greatest value which is the denominator

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

135 the person above e is correct

Step-by-step explanation:

Answer:

95.83%

Step-by-step explanation:

Answer:

[tex]6.4[/tex] minutes

Step-by-step explanation:

Given information:

- Track is 400m long

- Mai runs at a constant speed of 250 meters/minute

- - - - - -

To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:

[tex]400\times4=1600[/tex] meters

To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:

[tex]1600\div250=6.4[/tex] minutes

∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

Answer: 300

Step-by-step explanation:

You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year

The answer is A because it makes both triangles congruent

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

Answer:

x=14

Step-by-step explanation:

Brianlist please Let me know if you need an explaination!

Answer:

The answer is 14

Step-by-step explanation:

4(2x-5)+3=5(x+5)

(distribute)

8x-20+3=5x+25

(combine like terms)

8x-20+3=5x+25

-5x.        -5x

_____________

3x-20+3=25

3x-17=25

    +17 +17

____________

3x=42

_______

    3

x=14

Answer:

467712

Step-by-step explanation:

Answer:

467,712

You simply just multiply

Answer:

x = 3

Step-by-step explanation:

Angle D is congruent to angle B.

Angles E and B are supplementary.

180 - 101 = angle B

B = 79

Solve for x.

79 = 27x - 2

81 = 27x

x = 3

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Answer:

C - 29.77

Step-by-step explanation:

Edge 2020

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of two vectors is written as,

[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]

Substituting the values,

125 = 16 · 9 × Cos(θ)

0.868 = Cos(θ)

θ = 29.766°

Hence,  the angle θ between vectors r and s is 29.766°.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

Answer:

C

Step-by-step explanation:

you have to divde the household pets

Answer:

h= −4x−10/x

Step-by-step explanation:

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

Answer:

40, because 40 is 2/5ths of 100.

Mark brainlyest pls

Step-by-step explanation:

Answer:

hi

the answer is 60

Step-by-step explanation:

hope it helps and have a nice day!!! :)

Brainiest is appreciated it would really help

Answer:

[tex]\huge\boxed{\sf 252\ in.\²}[/tex]

Step-by-step explanation:

TOP and BOTTOM:

Surface Area = 2 ( Length * Breadth)

SA = 2 ( 6 * 12 )

SA = 2 (72)

SA = 144 in. ²

FRONT and BACK:

SA = 2 ( Length * Breadth)

SA = 2 ( 3*12 )

SA = 2 (36)

SA = 72 in.²

SIDES:

SA = 2 ( Length * Breadth )

SA = 2 ( 3 * 6 )

SA = 2 (18)

SA = 36 in.²

Adding all to get the SA of rectangular prism:

= 144 + 72 + 36

= 252 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-21

Step-by-step explanation:

6(6) + 3(-7(2) -5 )

36 + 3( -14 -5)

36 + 3(  -19)

= -21

Answer:

2

Step-by-step explanation:

slope: change in y/change in x

slope: 2/1 = 2

Answer:

26.75 units²

Step-by-step explanation:

Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.

Find the area of each then sum all together to get the area of the figure.

✔️Area of Triangle 1 (the biggest triangle):

Area = ½*base*height

height = 3.5

base = 2 + 2 + 5 = 9

Area = ½*9*3.5 = 15.75 units²

✔️Area of Triangle 2 (the medium triangle):

Area = ½*base*height

height = 2

base = 5

Area = ½*5*2 = 5 units²

✔️Area of Triangle 3 (the smallest triangle):

Area = ½*base*height

height = 2

base = 2

Area = ½*2*2 = 2 units²

✔️Area of the square:

Area = s²

s = 2

Area = 2² = 4 units²

✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²

Answer:  14 days in June

Step-by-step explanation:

Multiply 1/3 × 42.  That is the same as dividing 42/3 = 14

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

Answer:

80 degrees

Step-by-step explanation:

Triangle has 180 add the 2 you already have and subtract from 180