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2 years ago

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Mathematics

1 answer:

MrRa [10]2 years ago

6 0

Answer:

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The ratio of red apples to green apples on a farm is 3:1. If there are 180 red apples on the farm, how many green apples are the

xxMikexx [17]

Think of 180 divide by 3
it’ll give you 60
so there are 60 green apples

8 0

1 year ago

Read 2 more answers

If the length of AO is three time the length of CO, THE LENGTH OF DC is ...

butalik [34]

The answer is D one third of AB.

8 0

2 years ago

The angles of a triangle are in the ratio 5:3:7 find the angles

omeli [17]

Answer:

60, 36, 84

Step-by-step explanation:

The angles of a triangle always add up to 180 degrees.

If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.

180/15 = 12

Each value is 'worth' 12 degrees.

Thus the angles would be the ratios multiplied by 12.

5 x 12 = 60

3 x 12 = 36

7 x 12 = 84

3 0

2 years ago

A restaurant bill comes to $28.35. Determine the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax

Soloha48 [4]

In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
   = 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
   = 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
   = 35.79 dollars

8 0

2 years ago

The sum of a 3 digit number and a 1 digit number is 217. The product of the numbers is 642. If one number is between 200 and 225

algol [13]

Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)

x * y = 642............................equation (2)

Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)

Now, Taking equation (1),
$x+y=217$

Substituting the value of y from equation (3), we get,

$x+ \frac{642}{x} =217$

$\frac{x *x+642}{x} =217$

$x^{2} +642 =217*x$

$x^{2} +642 =217x$

$x^{2} +642-217x =0$

$x^{2} -217x+642 =0$

$x^{2} -3x-214x+642 =0$

$x(x-3)-214(x-3)=0$

$(x-3)(x-214)=0$

Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3

So, the numbers are 214 and 3.

5 0

2 years ago