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kati45 [8]
3 years ago
6

A man stores 72 liters of oil in 5 small cans and 2 large cans. If each large can hold twice as much as each small can, how many

liters does each can hold?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

Small: 8

Large: 16

Step-by-step explanation:

If you know that each large can is twice the size of a small can then you can form the equation x=2x meaning every one large can equals two small cans. That means that the 2 large cans are equal to four small cans, so altogether you have nine small cans. Between those nine you have 72 liters, so your equation should be 72=9x. To solve you do 72/9 which is 8. That means eight liters are in a small can and you can double it to find that sixteen liters are in a big can.

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2 cups of milk on 1/2 a quart of milk how many cups 1 quart of milk?
Wewaii [24]

Answer:

4 cups

Step-by-step explanation:

because if you have 2 cups for a half a quart then add another half which means add 2 more cups 2+2=4 cups

4 0
2 years ago
How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
maw [93]

<span>Compound  interest  formula</span>

A=P(1+ \frac{r}{n} )^{nt}

 

Where

<span>
A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t






Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,


In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}

\displaystyle{ 1.5={(1.0375^4)}^t\\\\

1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0
3 years ago
Do the following proofs
Anna11 [10]

1) By the SSS postulate we can tell that these two triangles are congruent.

-> What is SSS?

[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side

[] The proof for the assignment

AB = DF, AC = DE, BC = EF    |    Given

The triangles are congruent   |    SSS Postulate

2) We can use AAS for these two triangles.

-> What is AAS?

[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side

-> How does this apply here?

[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side

[] The proof for the assignment

Angle T = angle N, angle TAB = angle NAB   |   Given

AB = AB   |    Reflexive Property

The triangles are congruent   |   AAS Postulate

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r
Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

8 0
3 years ago
Read 2 more answers
HELP please.
Delvig [45]

Answer:

Q1: \frac{3}{4}

Q2: \frac{83}{100}

Step-by-step explanation:

Q1: 12 : 16 = 3 : 4 = \frac{3}{4}

Q2: 8.3 : 10 = \frac{83}{100}

3 0
3 years ago
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