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2 years ago

I thought of a number, added 3 2/7 to it, then I multiplied the result by 1 1/2 , and got 6 5/7 . What was my number?

1 answer:

6 0

I got 25/21 or 1 4/21, but there’s a possibility I could’ve made a mistake in my math so you should double check it just in case.

You might be interested in

Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)

storchak [24]

Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

$\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}$

You should also know this:

$sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)$

So plugging in both of those into our identity, we get:

$\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)$

Simplify the denominator on the LHS (Left Hand Side)

We get:

$cos(t) \cdot sin(t) = cos(t) \cdot sin(t)$

LHS = RHS

Therefore, identity is verified.

4 0

2 years ago

Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multi

den301095 [7]

Answer:

30,000

Step-by-step explanation:

7 0

2 years ago

1 . Alberto has 318 baseball cards and 273 basketball cards. Estimate how many sports cards Alberto has. Describe the strategy y

Galina-37 [17]

For 1. To estimate how many sports cards Alberto had, you would round each number to the nearest ten, so 318 would become 320. 273 would then become 270. You would then add those two and would get 590. So, Alberto had 590 sports cards (estimated). If you were looking for the actual answer (not estimated) , you would get 591.

6 0

2 years ago

In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for th

Katyanochek1 [597]

This question is incomplete, the complete question is;

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,

find the mean and variance for the number of voters who support the referendum.

Answer:

a) The Mean is 22

b) Variance is 9.9

Step-by-step explanation:

Given that;

55% of the voters support a particular referendum p = 0.55

q = 1 - p = 1 - 0.55 = 0.45

sample size n = 40

Mean = sample size n × p

Mean = 40 × 0.55

Mean = 22

Therefore the Mean is 22

Variance = n × p × q

so we substitute

Variance = 40 × 0.55 × 0.45

Variance = 9.9

Therefore the Variance is 9.9

3 0

2 years ago

Can anyone help please?

Furkat [3]

Alternate interior angles are equal.
2x - 10 = 65 - x
2x + x = 65 + 10
3x = 75
x = 75/3 = 25
x = 25.

8 0

2 years ago