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gizmo_the_mogwai [7]
3 years ago
8

in a mixture of 60 litres, the ratio of milk to water is 2:1. if this ratio is to be 1:2, then find the quantity of water to be

further added.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:  20 liters

<u>Step-by-step explanation:</u>

The mixture is 60 liters. The ratio is 2 : 1   (2 parts to one part)

60 ÷ (2 + 1) = one part

60 ÷ 3 = 20

Therefore, the ratio of 2 : 1 means 2(20) liters milk to 1(20) liters water

If we change it to a ratio of 1 : 2, then we have 1(20) liters milk to 2(20) liters water.

2:1 ratio has 20 liters water

1:2 ratio has 40 liters water

The amount of water added is 40 - 20 = 20 liters

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A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh
dezoksy [38]

Answer:

<em>40</em>

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2\times 2)

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes \times Number of doors options  \times Number of exterior colors

2 \times 2 \times 10 = <em>40</em>

3 0
3 years ago
Simplify the expression (7x2 − 3x) + 4x2. 8x 8x2 3x2 − 3x 11x2 − 3x NextReset
olchik [2.2K]
(7x^2-3x)+4x^2
7x^2+4x^2-3x
11x^2-3x
Answer: 11x^2-3x. 

You just combine like terms. 
7 0
3 years ago
Round your answer to the nearest hundredth.
Dmitry_Shevchenko [17]

tan 35 = BC / 2

0.700 = bc/2

bc = 1.4

3 0
2 years ago
Read 2 more answers
If there are 40% of girls and 250 are boys, find
oee [108]

Step-by-step answer:

If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.

i)

Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.

Total * 0.6 = 250.

Total = 250/0.6

Total = 417

There are 417 students

ii)

Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

417 * 0.4 = 167

There are 167 students that are girls.

8 0
2 years ago
Which functions are continuous at x= -5? Select all that apply.
Assoli18 [71]

Answer:

option B  and C

Step-by-step explanation:

Lets check each function

 Lets simplify \frac{x^2-25}{x+5}

factor the numerator

x^2-25 = (x+5)(x-5)

\frac{(x+5)(x-5}{x+5}

Cancel out x+5  so we are left with x-5

When x=-5  then f(x) = x-5= -5-5 = -10

To make the function continuous at x=-5  the value of f(x) should be -10

So option B is correct

Now we check with option C  and D

Lets simplify \frac{x^2+10x+25}{x+5}

factor the numerator

x^2+10x+25 = (x+5)(x+5)

\frac{(x+5)(x-5}{x+5}

Cancel out x+5 , so we are left with x+5

When x=-5  then f(x) = x+5= -5+5 = 0

To make the function continuous at x=-5  the value of f(x) should be 0

So option C is correct


3 0
3 years ago
Read 2 more answers
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