Amy is x years old. Jennifer is 5 years older than Amy. Their father is 4 times as old as Jennifer. Write an expression to represent the fathers age. Then write an expression to represent the sum of their ages. Make sure your final expresson is simplifed.

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

Answer:

I think it 25/36.

Step-by-step explanation:

The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.

So 4/9 + 1/4 = 16/36 + 9/36 = 25/36

Jenny measured a total of 10/21 cups of flour.

Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.

Here,
Let, the total measure of the cups of flour be x,

x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21

Thus, Jenny measured a total of 10/21 cups of flour.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

-10

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

cause a cub has 4 sides so each side is 54

Answer:

The length of a side is 6.

Step-by-step explanation:

Since, the volume of a cube is equal to l*w*h.

V=l*w*h

Volume is equal to side cubed.

V=s^3

Cube 216 to get 6.

216=s^3

3^√216=s

Answer: 6

Answer:

0.00139746127868

Step-by-step explanation:

just use a coculator

Answer:

-1

Step-by-step explanation:

4x - 4y = -10

4x - 4y + 9 = -1

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

Answer:

102 donuts

Step-by-step explanation:

12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer: 5.099

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

what shaded rectangle?

Answer:

answer is B

Step-by-step explanation:

∠PRQ = ∠STR

∠STR + 60° + 58° = 180°

∠STR = 62°

∠PRQ = 62°

Answer:

Step-by-step explanation:

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Answer:

x = 0; y = 5

Step-by-step explanation:

-5x + 3y = 15

2x - 3y = -15

Add the equations to eliminate y.

3x = 0

x = 0

Now plug in 0 for x in the first equation to solve for y.

-5(0) + 3y = 15

3y = 15

y = 5

Answer: x = 0; y = 5

Answer:

x+2x is an equalent expression

Answer:

An equavalent expression is 3x+0

answer is 11 boy now enjoyyyyyyyyy

Answer:

its 8

Step-by-step explanation:

first divide 16 by pi which is 3.14

then divide your answer by 2 after that.

Answer:

12

Step-by-step explanation:

3 times 4 is 12

Answer:

Ladybug=7

clock= 5

bulb= 2

Step-by-step explanation:

there are a whole row of ladybugs that equal 21. 21/3=7.

on the third row, the value we need is 12, 6 won't work because we also have a bulb. so pug in 5, 5+5=10, that means the bulb is 2.

So now that we know the values, lets plug them into the first problem to see if it gives us 14... it does

So we have the correct answers

Also, you can plug in the values for the the bottom numbers and you will get those values

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

The set consists of total 20 possible outcomes

The set is given in the image attached

Answer:

a. 202.5 m³

Step-by-step explanation:

Volume = a² × h/3

Where a is the side length and h is the height

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

Answer:

.00035453808

Step-by-step explanation

Step-by-step explanation:

Equation 1: 2x - 3y = 13

Equation 2: 2x + 4y = -8

Subtract Equation 1 from Equation 2:

2x + 4y = -8

- (2x - 3y = 13)

=> 7y = -21, y = -3.

Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.

The solutions are x = 2 and y = -3.

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

Answer:

comparing both the equation,

3X-3=6x-1

or, -2 =3X

or, X= -2/3

Y=6X-1

or, Y= 6× -2/3 -1

or, Y= -4-1

or, Y= -5

hence the required solution is (-2/3, -5)