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3 years ago

1 2/15 + -3 1/2 in simplest form

Mathematics

2 answers:

Paul [167]3 years ago

6 0

Answer:

$1\frac{2}{15} \: + - 3 \frac{1}{2}$

$\frac{17}{15} + \frac{ - 7}{2} =$

$lcm \: of \: 15 \: \: \: \: 2 \: is \: 60$

$\frac{17 + 7}{60} = \frac{ - 24}{60}$

<h2>I HOPE IT IS HELPFUL</h2>

forsale [732]3 years ago

3 0

1 2/15 + -3 1/2

17/15 - 7/2

17/15 Multiply by (2) = 34/30

7/2 Multiply by (15) = 105/30
Subtract
34/30 - 105/30

-74/30

- 2 14/30 divide by 2 ( 7/15)

- 2 7/15

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Help, please simplify.. thank you

Romashka [77]

$\bf \cfrac{3.7\times 10^{-12}(42)}{(.000000025)(4.0\times 10^{-15})}\implies 
\cfrac{37\times 10^{-13}(42)}{(25\times 10^9)(4\times 10^{-15})}$

$\bf \cfrac{37(42)\times 10^{-13}}{25(4)\times 10^910^{-15}}\implies 
\cfrac{1554\times 10^{-13}}{100\times 10^{9-15}}\implies 
\cfrac{1554\times 10^{-13}}{1\times 10^2\times 10^{9-15}}
\\\\\\
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4 years ago

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

Savatey [412]

Answer:

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

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3 years ago

Two factors of 30 add up to 9

Alinara [238K]

6x5=30
3x10=30
6+3=9
Hope it helps

6 0

4 years ago

Read 2 more answers

Hello math olzzzzzzz

galben [10]

Answer:

<u>Checkmark:</u>

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$ ; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.

r = -3

$t_{n} = t_{1} r^{n-1}$

$t_{1}$ = -2

Substitute the values in the equation:

$t_{n} = (-2) (-3)^{n-1}$

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)

The recursive formula would be:

$An = A_{n-1}(-3)$

Checkmark:

✓ The sequence is geometric

✓ The recursive formula for the sequence is $An = A_{n-1}(-3)$ ; $A_{1} =-2$

✓ The explicit formula for the sequence is $t_{n} = (-2) (-3)^{n-1}$

6 0

3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

6 0

3 years ago

1 2/15 + -3 1/2 in simplest form​

1 2/15 + -3 1/2 in simplest form