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3 years ago

What is the difference in length between 1 1/4 inch button and a 3/8 inch button

Mathematics

1 answer:

jeka943 years ago

3 0

You have two buttons of different lengths.

First with length $1\dfrac{1}{4}$ in and second with length $\dfrac{3}{8}$ in. The first one is larger, then the difference in length between them is:

$1\dfrac{1}{2}-\dfrac{3}{8}=\dfrac{3}{2}-\dfrac{3}{8}=\dfrac{3\cdot 4-3}{8}=\dfrac{12-3}{8}=\dfrac{9}{8}=1\dfrac{1}{8}\ in.$

Answer: $1\dfrac{1}{8}$ in.

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PLEASE HELP WILL MARK BRAINLIEST

Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

$b > 3\frac{2}{15}\\\\$

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality $2 \frac{3}{5} < b - \frac{8}{15}\\\\$ is the same as $\frac{13}{5} < b - \frac{8}{15}\\\\$

---------------------

Let's multiply both sides by 15 to clear out the fractions

$\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\$

---------------------

Now isolate the variable b

$39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\$

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

7 0

3 years ago

73 and 4.4 x 10 to the 6th power

Lubov Fominskaja [6]

Answer:

4,400,073

Step-by-step explanation:

8 0

3 years ago

Ms. Anastasopoulos has 30 students. 4/5 of the students have pets. OF the students who have pets, 2/3 of them have a dog as a pe

Lena [83]

Answer:

Step-by-step explanation:

since 4/5 have a pet, you would divide by 5.

30÷5=6

but since only 4 have a pet, you would multiply that by 4 to get 4/5

6×4=24

24 students have pets

now you would divide by 3, as 2/3 have a dog

24÷3=8

but only 2/3 have dog, so you would multiply by 2

8×2=16

I'm sure there is a simpler way but this is how I would do it.

6 0

3 years ago

Convert the angle 0= 100° to radians.<br> Express your answer exactly.<br> radians

Rashid [163]

Answer:

the answer is the 0.56 say

8 0

3 years ago

Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm

andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0

3 years ago