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puteri [66]
2 years ago
13

Sam and Paul started a business. Their investments were in the ratio 6:7, respectively. How much did Paul invest if Sam's invest

ment was $828?
Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0

Answer:

$966

Step-by-step explanation:

Sam's investment = 828

Paul's investment will be temporarily marked as x.

We need to divide 828 by 6 = 138 to find the result, x.

We multiply that by 7. 7 x 138 = 966.

We can write in 3 different ways:

828 : 966

828/966

(or in fraction form, I don't have a fraction line.

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Factor.<br> x^2+25<br><br> (x+5) (x-5) <br> (x+5) (x+5)<br> (x+5i) (x-5i)<br> (x+5i) (x+5i)
icang [17]

Answer:

( x + 5 i ) ( x − 5 i )

Step-by-step explanation:

Multiply the constant by  − i ^2  and factor.

4 0
3 years ago
A line that passes through the point (4, 2) and has the slope of -3/2
mash [69]
The answer is: y = -3/2 x + 8

Graph:

To find the answer we use the formula;

y-y1 = M1 (x - x1)

y-2 = -3/2 (x-4)

When fully solved: the answer is:
y = -3/2 x + 8

8 0
2 years ago
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl
ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be \frac{3}{7}x.

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be \frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x.

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be \frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x.

We are also told that Dani received 216 pennies. Now, we will equate 216 to \frac{27}{343}x and solve for x as shown below:

\frac{27x}{343}=216

\frac{27x}{343}*343=216*343

27x=74088

\frac{27x}{27}=\frac{74088}{27}

x=2744

Therefore, Al have 2744 pennies initially.

3 0
3 years ago
Please, help thanks!<br> I would like an explanation how to do it too, IF you dont mind.
Aneli [31]

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>

4 0
2 years ago
The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep
bezimeni [28]
31%.

The car bought most often by both males and females collectively is the white car.  That has a total frequency of 0.31 out of 1 or, 31/100
3 0
3 years ago
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