7. Susan has $21, and she has three times as much money as Diego. Write an equation for this
situation, and find how much money Diego has.

Answer:

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

If

a

b

=

c

d

=

e

f

then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

1. If

a

b

=

c

d

=

e

f

, then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

2. If

x

b2-c2

=

y

c2-a2

=

z

a2-b2

, then prove that x+y+

Step-by-step explanation:

The required proportional of 7, 3, and 98 is  42. Option B is correct.

Given that,
The fourth proportional of 7,3 and 98 is to be determined.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the required proportional be x,
now,
7 / 3 = 98 /x
x = 98  * 3 / 7
x = 42

Thus, the required proportional of 7, 3, and 98 is  42. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2

Step-by-step explanation:

For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?

You could substitute y into an algebraic function to find these values.

We'll use 36 miles as an example.

If 12x = y then

12x = 36

divide both sides by 12

x = 3

For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by  the number of guests (x).

Answer:

So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)

Answer: -[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

      To solve this question, I am going to first put the equation into slope-intercept form.

      2x + 12y = -192

      12y = -2x - 192

      y = -[tex]\frac{2}{12}[/tex] - 16

      y = -[tex]\frac{1}{6}[/tex] - 16

      Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:

             -[tex]\frac{1}{6}[/tex]

Answer: 1/-6

Step-by-step explanation:

i had this equation

Answer:

18/1

Step-by-step explanation:

Answer:

1/2. I think if I'm wrong I'm sorry

[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]

[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]

Answer:

[tex](2c+a+3b)(2c-a-3b)[/tex]

Step-by-step explanation:

Given expression:  [tex]4c^2-a^2-6ab-9b^2[/tex]

Factor [tex]-a^2-6ab-9b^2[/tex]

[tex]\implies -(a^2+6ab+9b^2)[/tex]

[tex]\implies -(a+3b)(a+3b)[/tex]

[tex]\implies -(a+3b)^2[/tex]

Factor [tex]4c^2[/tex]

[tex]\implies(2c)(2c)[/tex]

[tex]\implies (2c)^2[/tex]

Therefore,

[tex](2c)^2-(a+3b)^2[/tex]

Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]

[tex]x^2=(2c)^2\implies x=2c[/tex]

[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]

Therefore,

[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]

[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]

Answer:

(2c - a + 3b)(2c + a + 3b)

Step-by-step explanation:

4c² - a² - 6ab - 9b²

= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )

= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

= (2c)² - (a + 3b)²

= (2c - (a + 3b) )(2c + (a + 3b) )

= (2c - a - 3b)(2c + a + 3b)

Answer:

203° F

Step-by-step explanation:

F = 1.8C + 32

F = 1.8 × 95 + 32

F = 203

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To find out what values each bar in the graph represents, we use the lines and the y axis. Follow the line, and your value will be determined.

Hope this helps. If you have any further questions, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

I think C and D options can be correct

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

I think C and D options can be correct

Step-by-step explanation:

Answer: (2,2)

Step-by-step explanation:

Answer:

Ray is  x years old.

Ron is x+y  years old.

In 2 years, Ron will be two years older than now, so  x+y+2 years old.

Step-by-step explanation:

Enjoy!

Answer:

Ray is x  years old.

Ron is x + y years old.

In 2 years, Ron will be two years older than now, so 

x + y + 2 years old.

Since their ages are variables, you should only have 1 clear digit which is 2. Due to the information given

Smith's balloon is an algebraic expression

The expression that represents how many Balloons Smith has is p + 20

The given parameters are:

Small = p

Big = 20

Add the number of small and big ballons to get the total number of ballons

Total = Small + Big

This gives

Total = p + 20

Hence, the expression that represents how many Balloons Smith has is p + 20

Read more about expressions at:

https://brainly.com/question/723406

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

Answer:

x is equal to 30

<ABC is equal to 100°

<DBC is equal to 80°

Step-by-step explanation:

3x +10 +2x +20 =180

5x = 180 - 10- 20

5x = 150, divide both sides by 5

x is equal to 30

<ABC = 3x + 10 = 3 × 30 + 10 = 100°

<DBC = 180 - <ABC = 180 - 100 = 80°

Ray is [tex]x[/tex] years old.

Ron is [tex]y[/tex] years old.

In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

Answer:

x + 5

Step-by-step explanation:

i think

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Answer: 782

Step-by-step explanation

It says it made a w

Answer:

Part A: Andy is incorrect

Part B: 3/20

Step-by-step explanation:

Part A: Since Andy:

Actions dvds = 3/5

Comedy dvds = 1/4

or = Add

3/5 + 1/4

12 + 5 /20 = 17/20

Thus, it doesn't equal to 4/9.

Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20.  Adding these together would be 17/20, making 3/20 of them NOT action or comedy.  17/20 + 3/20 = 20/20 or the total.

Therefore, 3/20 of them Not action or comedy.

~lenvy~

Answer:

518,317 > 518,246 > 518,197

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18