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vampirchik [111]
2 years ago
15

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

stment was $828?
Mathematics
1 answer:
salantis [7]2 years ago
4 0

Answer:

$966

Step-by-step explanation:

6/7 =  828/x

Write a proportion.

6x = 7(828) Use cross products.

6x = 5796 Multiply.

x = 966 Divide both sides by 6.

Paul's investment was $966.

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3 years ago
Aaron can paint a door in 6 h, and Ana can do the same job in 3 h. Working together, how many hours will it take them to paint a
Aloiza [94]

Answer:

4.5 hrs

Step-by-step explanation:

3 0
2 years ago
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The diameter of a circle is 2 kilometers. What is the circle's circumference? d=2 km Use 3.14 for ​. kilometers?
Ksenya-84 [330]

Answer:

6.28km

Step-by-step explanation:

C=314/100×2

I think that the answer is 6.28km

3 0
2 years ago
A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55%
tester [92]

Answer:

the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is  100 litres

x+y =100  ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40  litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

7 0
3 years ago
△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) followed by (x,y)→(x,−y).
anyanavicka [17]

Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.


Step-by-step explanation:

A rigid motion of the plane  is a motion which maintain distance.

Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.

A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.

So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.

5 0
3 years ago
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