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3 years ago

Can you help me with these 3?

Mathematics

1 answer:

miskamm [114]3 years ago

3 0

Step-by-step explanation:

1. 5,11,17,23,29,35

Common difference is 6

3. 8,21,34, 47,60

Common difference is 13

5. 5,10,15,20,25

Common difference is 5

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At the zoo, there were 260 people at the panda exhibit. 30% of the people at the panda exhibit were visitors from China. How man

kondaur [170]

First we convert percentage to a decimal:

$30\%= \cfrac{30}{100}= \cfrac{3}{10}$

Then we multiply the decimal and a number:

$\cfrac{3}{10}\cdot260=\cfrac{3\cdot\not\!\!\!260^\ {26}}{\not\!\!10}=3\cdot26= \boxed{78}$

Answer:

There were 78 visitors from China.

6 0

3 years ago

Divide Rational Expressions<br> In the following exercises, divide.

guapka [62]

Answer:

$\displaystyle \mathbf{\frac{5}{(c+4)}}$

Step-by-step explanation:

<u>Division of Rational Expressions</u>

When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.

Let's find the following division:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}$

First, we factor the polynomials where possible.

$c^2-64 = (c-8)(c+8)$

$3c^2+26c+16=(3c+2)(c+8)$

$c^2-4c-32=(c-8)(c+4)$

$15c+10=5(3c+2)$

Substituting:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}$

Multiplying by the reciprocal of the denominator:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}$

Simplifying by (c+8)(3c+2)(c-8):

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}$

Answer:

$\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}$

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3 years ago

Anyone??? I will give branilst!!!

Digiron [165]

There are two different lines

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4 years ago

-9 = 5/17n what is n?

kati45 [8]

$-9=\frac{5}{17} n\\ \\ -9*\frac{17}{5} =n\\ \\ -30.6=n=-30\frac{3}{5}$

Hope this helps!

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3 years ago

Is 4(y+3) equivalent to 4y +3?

Vanyuwa [196]

No. Because 4(y+3) would simplify into 4y+12 as for 4y+3 is already simplified.

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4 years ago

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