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Yuki888 [10]
3 years ago
13

A housepainter mixed 2 gallons of blue paint with

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2

Now we will check if the given options can be simplified to 1:2

So,

Option A:

8:12\\2:3

Option B:

8:24\\1:3

Option C:

3:5

Option D:

6:12\\1:2

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

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Fun question: how can you make 11 out of 4 sevens?
Vladimir [108]

Answer: (7+1/7) *(7+7)

Step-by-step explanation:

7 0
2 years ago
Slope = -5/2; y-intercept = -3
ivanzaharov [21]

Answer:

y = -5/2x - 3

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

=

y = -5/2x - 3

4 0
3 years ago
Read 2 more answers
Help please! Could you explain it too?
Anettt [7]

Answer:

a) not proportional

b) proportional; k = -\frac{3}{5}

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0
2 years ago
B. A square has a side length of 5 feet. <br> What is the length of each side of the square
densk [106]

Answer:

5 ft.

Step-by-step explanation:

A square is a shape comprised of all equal side lengths. Therefore, if we are given that the square has a side length of 5 feet, then every side's length would also be 5 feet.

7 0
2 years ago
If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (H
vovikov84 [41]

Step-by-step explanation:

We will prove by contradiction. Assume that 2^n + 1 is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that p\mid n. Then, for some integer k\geq 1,

n=p\times k.

Therefore

  1. 2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p.

Here we will use the formula for the sum of odd powers, which states that, for a,b\in \mathbb{R} and an odd positive number n,

a^n+b^n=(a+b)(a^{n-1}-a^{n-2}b+a^{n-3}b^2-...+b^{n-1})

Applying this formula in 1) we obtain that

2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p=(2^k+1)(2^{k(p-1)}-2^{k(p-2)}+...-2^{k}+1).

Then, as 2^k+1>1 we have that 2^n+1 is not a prime number, which is a contradiction.

In conclusion, if 2^n+1 is an odd prime, then n must be a power of 2.

4 0
3 years ago
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