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3 years ago

What is the answer to question 41

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

Answer:

an = 6 +5(n-1)

an = 1 +5n

Step-by-step explanation:

The equation for an arithmetic term is

an =a1 +d(n-1)

where a1 is the 1st term and d is the common difference

an = 6 +5(n-1)

We can distribute the 5

an = 6+5n-5

an = 1 +5n

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Jason's bank account balance was $300. He paid 1/4 of his bills. Now, his account balance is -$50. Which equation can be used to

12345 [234]

Answer:

The total amount of his bills is $1400

Step-by-step explanation:

Jason's bank account balance was $300. After paying 1/4 of his bills, his account balance is -$50.

This means that the amount deducted from his account is:

300 - (-50) = 300 + 50 = $350

$350 was deducted from his account.

Hence, 1/4 of his bills is $350.

If the total amount of his bills is x, therefore:

1/4 of x = 350

=> 1/4 * x = 350

x = 4 * 350

x = $1400

The total amount of his bills is $1400.

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3 years ago

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Anestetic [448]

156

^^^^^^^^^^

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2 years ago

What is the constant of proportionality for the relationship shown in this table

Vlad1618 [11]

Answer:

it is 4 because if you multiply each x-value by 4, you'll get they y-value underneath it:)

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3 years ago

Read 2 more answers

Can someone help me with question 2

Sunny_sXe [5.5K]

You just have to add I think

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3 years ago

Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan

mote1985 [20]

Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = $\frac{4}{3}\pi r^{3}$ where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = $\frac{4}{3}\pi (2)^{3}$

$Vo = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}$

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = $\frac{4}{3}\pi (4)^{3}$

$Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\$

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = $\frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }$

$\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi} \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8$

The required ratio is 8

3 0

2 years ago