(PLEASE HELP!) (IM GIVING GOOD POINTS!)
Jackson, Monica, and Franklin are siblings. Monica's age is 12 of Jackson's age, and Franklin's age is 23 of Jackson's age. The sum of all of their ages is 36.
Which equation represents the ages, based on Jackson's age, j?

36j+12j+23j=j36 j plus 1 half j plus 2 thirds j is equal to j

j+12j+23j=36j plus 1 half j plus 2 thirds j is equal to 36

12j+23j=361 half j plus 2 thirds j is equal to 36

j+2j+23j=36

[tex] \sf \looparrowright \: 8 \frac{1}{6} - 5 \frac{5}{6} [/tex]

Convert the mixed fractions to improper fractions

[tex] \underbrace {8\frac{1}{6} = \frac{6 \times 8 + 1}{6} = \frac{49}{6} }[/tex]

[tex] \underbrace {5\frac{5}{6} = \frac{6 \times 5 + 5}{6} = \frac{35}{6} }[/tex]

[tex] \sf \looparrowright \: \frac{49}{6} - \frac{35}{6} [/tex]

Write the numerators above the common Denominator 6

[tex] \sf \looparrowright \: \frac{49 - 35}{6} [/tex]

Calculate the difference

[tex] \sf \looparrowright \: \frac{14}{6} [/tex]

Reduce the fraction with 2

[tex] \sf \looparrowright \frac{7}{3} [/tex]

Answer:

it is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

It's a linear equation but not a parallel line to any axis

The general form is

m is rate of change.

Hence y is directly proportional to x if m is kept constant

So option B is correct

Answer:

0.027

Step-by-step explanation:

0.474 - 0.447

= 0.027

Answer:

0.027 or 0.447 is greater than 0.474

Step-by-step explanation:

Answer:

slope = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

Answer:

M= -7

Step-by-step explanation:

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

pls branliest

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

Answer:

C) 136 yd²

Step-by-step explanation:

[tex]\textsf{\large Area of a triangle:}\ \dfrac{1}{2}\cdot b \cdot h[/tex]

Given:

Substitute the given values into the formula.

[tex]\begin{aligned}A\triangle&=\dfrac{1}{2}(16)(17)\\ &=8(17)\\&=\boxed{136}\end{aligned}[/tex]

The area of the triangle is 136 yd².

Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer:

33°

Step-by-step explanation:

9.17% = 9.17/100

[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]

= 33°

Answer:

33

Step-by-step explanation:

0.917×36=33.012

Answer:

See below.

Step-by-step explanation:

x-2y=-4

 *-2  *-2

x+y=8

-x     -x

y=-x+8

-hope it helps

Answer:

y = 1/2x + 2⠀

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

[tex]cos(65) = \frac{AC}{7}[/tex]

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

Answer:

the quotient is 12 and there is no remainder

Step-by-step explanation:

Answer:

Step-by-step explanation:

The shape is a trapezoid on top of a parallelogram. The areas of each of the figures can be found separately, then added together.

The area formula is ...

  A = 1/2(b1 +b2)h . . . . where b1, b2 are the base lengths and h is the height

  A = 1/2(12 +a)(7) = 3.5(12 +a) = 42 +3.5a

__

The area formula is ...

  A = bh

  A = (12)(9) = 108

__

The area of the figure is then ...

  total area = trapezoid area + parallelogram area

  172.75 = 42 +3.5a + 108

  22.75 = 3.5a . . . . . . . . . . . . subtract 150

  6.5 = a . . . . . . . . . . divide by 3.5

The length 'a' is 6.5 meters.

__

The perimeter is the sum of the side lengths. Opposite sides of the parallelogram are the same length. Clockwise from the bottom left, the sum of side lengths is ...

  P = 9.2 +7.8 +6.5 +7.3 +9.2 +12 . . . meters

  P = 52 . . . meters

The perimeter is 52 meters.

Answer:

Hi ma bruddah

Step-by-step explanation:

Hi - ma - bru/dd/ah

Answer:

A.

Since it says no more than and d doesn't have that sign so yes hope this helps :D

Answer:

1 ofc

Step-by-step explanation:

Think of it:

1% is pretty much [tex]\frac{1}{100}[/tex]

so the equal to that is 1

I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages

Answer:

Height (h) = 1.6

Step-by-step explanation:

Area  of trapezoid = [(base1+base2)/2] * height

now we sub the values in the formula

7.36 = [(3.4+5.8)/2]* h

h= (7.36*2)/(3.4+5.8)

h = 1.6

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

So as we know he already has $54

Equation formed to find value of x :-

[tex] \leadsto \sf9x = 171[/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf x = \dfrac{171}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{3 \times 3 \times 19}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 3 \times 19}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 19}{ \cancel3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \bf x = 19[/tex]

[tex] \\ \\ [/tex]

[tex]\therefore \underline {\textsf{\textbf{No. of hours required is equal to\red{ 19 hours}}}}[/tex]

Answer:

14

Step-by-step explanation:

A sequence is given to us , which is ;

[tex]\longrightarrow 6,10,14,18,22 [/tex]

We need to find out the third term of the sequence . The third term is 14 which is itself given in the question . We can also find it as ,

The given sequence is in Arithmetic progression since a common number is added to get the next term of the sequence .

[tex]\longrightarrow d = 10 -6\\[/tex]

[tex]\longrightarrow d =4 [/tex]

Now we know that the general term of the sequence in an AP is given by ,

[tex]\longrightarrow T_n = a + (n-1)d [/tex]

The first term is 6 and common difference is 4 . On substituting the respective values ,

[tex]\longrightarrow T_3 = 6 + (3-1)4\\[/tex]

[tex]\longrightarrow T_3 = 6 + 2(4)\\[/tex]

[tex]\longrightarrow T_3 = 6 +8\\ [/tex]

[tex]\longrightarrow \underline{\underline{T_3=14}} [/tex]

This is the required answer!

[tex]691 \: 513 \: = > nearest \: to \: thousands \\ = > \: \: \: \: \: \: \: \: 692 \: 000[/tex]

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

=

64 =

x =

x = 8

The solution to the equation 3ln4 = 2lnx is {-8, 8}

Given the expression

3 ln 4 = 2 ln x.

We are to find the solution for the variable "x"

Applying the rule of logarithm, the equation will become:

ln4^3 = lnx^2

4^3 = x^2

x^2 = 64

x = 8 and -8

Hence the solution to the equation is {-8, 8}

Learn more on logarithm here: https://brainly.com/question/25710806

Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\[/tex]

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

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

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Answer:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Step-by-step explanation:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

Answer:

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

Answer:

a. y = -x

b. Area = xy

c. x = -y

Step-by-step explanation:

a. The perimeter of the garden is the distance all the way around, in this would be x+y+x+y, or 2x + 2y. To solve for y, we’re trying to isolate it on one side. We need to subtract 2x to get 2y = -2x. Divide by 2 to get y = -x.

b. Area is length times width, so x • y, or xy.

c. To express in terms of x, we can take the equation y = -x and multiply it by -1 to get x = -y

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104

Eastbound Train: 86mph

Westbound Train: 104mph