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bonufazy [111]
3 years ago
12

Express 7/40 as a percent

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer: 17.5%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 7/40 as a percent, we need to find a fraction equivalent to 7/40 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have  \frac{7}{40} = \frac{n}{100}

Now we can use cross products to find the missing value.

So we have 7 x 100 which is 700 = 40 times n or 40n.

700 = 40n

Next, dividing both sides of the equation by 40, we have <em>17.5 = n</em>.

So, 7/40 is equal to 17.5/100 or 17.5%.

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15 miles out of 35 miles as a fraction in the simplest form
Alex777 [14]

Answer:

3/7

Step-by-step explanation:

15/5=3

35/5=7

simplest form: 3/7

3 0
3 years ago
Read 2 more answers
I need help with 7th grade math please 50 points need help ASAP + brainleist
Ivahew [28]

Answer:

R =39.47997518

Step-by-step explanation:

Radius = circumference / 2π

R = 248.06 / 2π

R =39.47997518

4 0
2 years ago
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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

3 0
3 years ago
How many integers from 1 through 100,000 contain the digit 6 exactly once?
wariber [46]
Consider the set of all (not-all-zero) decimal strings of length 6. This is the set of strings


000001
000002
...
099998
099999
100000

There are obviously 100,000 strings in this set, so we have a one-to-one correspondence to the integers between 1 and 100,000. Think of any string starting with 0s as the number with the leading 0s chopped off.

There are two choices for the first digit, either 0 or 1, but a number can only contain a 6 if the first digit is 0; otherwise, the number would exceed 100,000. For every digits place afterward, if a given digits place contains a 6, then the remaining four places have 9 possible choices each, choosing from 0-9 excluding 6. If we fix the 6 in, say, the second digits place, then the number of integers between 1 and 100,000 containing exactly one 6 is


1\cdot1\cdot9^4=6561


where the first 1 refers to the only choice of 0 in the first digits place, the second 1 refers to the unique 6 in the next place, and the remaining four places are filled with one of 9 possible choices.


Now, notice that we can permute the digits of such a number in 5 possible ways. That is, there are 5 choices for the placement of the 6 in the number, so we multiply this count by 5.

5(1\cdot1\cdot9^4)=32,805
4 0
4 years ago
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph.
Galina-37 [17]

I do believe it is -1 1/2 because I chose two points on the graph (0, 300) and (150, 200). To find slope you need to plug it into an equation, which in this case looks like, (150-0)/(200-300) which then goes to 150/-100, which then simplifies to 15/-10, and then it converts to -1 1/2.

6 0
3 years ago
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