1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
meriva
2 years ago
7

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

<em>So, what do we know?</em>

Well we know the following information...

<em>p + a + o = 270</em>

(Phoebe + Andy + Polly = £270)

<em>p = 3a</em>

(Phoebe = 3 times more than Andy)

<em>a = 2o</em>

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.<em>The only one we can use is "o" for Polly!</em>

<em></em>

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. <em>(To do this we will input our value, 30, where our variable is "o")</em>

<em></em>

<u>Andy</u>

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

<em>(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)</em>

<u>Phoebe</u>

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

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

-SGO

<em></em>

You might be interested in
A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum
suter [353]

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

6 0
3 years ago
How do I do this again ?
AVprozaik [17]

The formula for the area of a trapezoid is a=1/2(b1+b2)h

So 10*5 = 50 *4 = 200 then divided by 2 is 100 so the answer is 100

7 0
3 years ago
-6(-p + 8) = -6p + 12
kolbaska11 [484]
ANSWER:
p=5

explanation:
distribute the -6 and simplify

6 0
3 years ago
Read 2 more answers
I don't know this please help no links Brainliest
Illusion [34]

Answer:

y=x+1

Step-by-step explanation:

Rise over run. The line starts positive one and goes up one and over one.

Hope this helps!

4 0
3 years ago
There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number
timama [110]
There are 86 laptops
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope and the y-intercept of the line with equation 9x + 10y = 91.
    10·1 answer
  • A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly select
    9·1 answer
  • What is the solution to (2 - 1)(4 - 2) + 9 ?
    5·2 answers
  • Identify products 1 and 3 formed in cellular respiration​
    7·1 answer
  • Solve each proportion algebraically. show you work. 9/15=m/25​
    13·1 answer
  • Which statement describes the behavior of the function f (x) = StartFraction 3 x Over 4 minus x EndFraction? The graph approache
    5·2 answers
  • What is the equation of the line that passes through the point (1,3) and has a slope<br> of -- 32
    7·1 answer
  • What's the answer? Anybody know?
    12·2 answers
  • Jim needs to move his firewood from his truck to the woodpile in his house. He estimates that he will move 1/8 of the total wood
    9·1 answer
  • $75.96 divided by 4 = in steps
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!