10^1 has what place value?

Roman55 [17]

He found 2x.

When you subtract the outer length of the frame from the outer length of the picture you get the length of the actual exposed frame. To find the length on either side if the picture you would divide by 2 because there are 2 X's. Therefore he found 2x

3 0

3 years ago

Find the error in the solution, and then solve correctly 9x+18+3x=1 9x+18=-2 9x=20 x=-20/9

PIT_PIT [208]

9x+18+3x=1
The second should be:
12x + 18=1, as you cannot combine -3x and 1 to get -2
To continue:
12x = -17
x = -17/12

8 0

3 years ago

Donnie's dad is 3 times older than Donnie, and the sum of their ages is no less than 56. What is the youngest that Donnie can be

Gala2k [10]

Answer:

14

Step-by-step explanation:

If Donnie is 3 times younger than Donnie's dad, that adds up to four parts. In other words, Donnie is 1/4 his dads age. So, divide 56 by four and you have Donnie's age. The rest is Donnie's dad age.

4 0

3 years ago

There are two traffic lights on Broadway. The probability of being stopped at the first light is

kiruha [24]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.

6 0

3 years ago

Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

$\frac{6}{100}$

The fraction $\frac{6}{100}$ can be represented as (we're two places behind the decimal, in the hundredths place):

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$

$25.20$

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

$420+25.20=$

$445.20$

Therefore, Mason's new rent per month next year will be $445.20.

7 0

3 years ago